mm_proof(mp2, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(2, 1), 1)))-[]).
mm_proof(mp2b, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), A)-[A=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(2, 1), 1))]).
mm_proof('3syl', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), A)-[A=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1))]).
mm_proof('4syl', d(d(d(d(2, d(1, 2)), 1), A), d(A, B))-[A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), B=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1))]).
mm_proof(mpi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), 2)), 1)-[]).
mm_proof(mpisyl, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), 2)), 1)))))-[]).
mm_proof(id, d(d(2, 1), 1)-[]).
mm_proof(idd, d(1, d(d(2, 1), 1))-[]).
mm_proof('2a1d', d(d(d(d(2, d(1, 2)), 1), A), A)-[A=d(2, d(1, 1))]).
mm_proof(a1i13, d(d(d(d(2, d(1, 2)), 1), 1), d(2, d(1, 1)))-[]).
mm_proof('2a1', d(A, d(A, d(d(2, 1), 1)))-[A=d(2, d(1, 1))]).
mm_proof(a2d, d(2, d(1, 2))-[]).
mm_proof(sylcom, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), 2)))-[]).
mm_proof(syl5com, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), 2)))), d(2, d(1, 1)))-[]).
mm_proof(syl11, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), d(A, d(B, 1)))))), d(d(2, d(1, 1)), d(d(2, 1), 1)))-[B=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), B)]).
mm_proof(syl5, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, 2)))), D)))))), d(D, d(d(2, 1), 1)))-[D=d(2, d(1, 1)), B=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), C)]).
mm_proof(syl6, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(A, 1))))-[A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(syl56, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(C, d(D, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, 1)))))))))), G))))))), d(G, d(d(2, 1), 1)))-[G=d(2, d(1, 1)), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), F), D=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D)]).
mm_proof(syl6com, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, d(C, 1))))))))), d(d(2, d(1, 1)), d(d(2, 1), 1)))-[B=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), C)]).
mm_proof(mpcom, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), 2))), d(d(2, d(1, 1)), d(d(2, 1), 1)))))-[A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(syli, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), d(d(2, d(1, 1)), d(d(2, 1), 1)))))))-[B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(syl2im, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, 2)))), F)))))), d(F, d(d(2, 1), 1)))))))-[F=d(2, d(1, 1)), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D)]).
mm_proof(syl2imc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, 2)))), G)))))), H))))))))))), H)-[G=d(2, d(1, 1)), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), F), D=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), H=d(G, d(d(2, 1), 1))]).
mm_proof('pm2.27', d(d(2, d(1, d(2, A))), d(d(2, d(1, 1)), A))-[A=d(d(2, 1), 1)]).
mm_proof(mpdd, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, 2))))-[]).
mm_proof(mpid, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, 2))))), d(2, d(1, 1)))-[]).
mm_proof(mpdi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, 2))))), 1)-[]).
mm_proof(mpii, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, 2))))), d(d(d(d(2, d(1, 2)), 1), 1), 1))-[]).
mm_proof(syldc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), d(A, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C)))))))), d(C, d(d(2, 1), 1)))-[C=d(2, d(1, 1)), B=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), B)]).
mm_proof(mp2d, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(2, d(1, 2))))), d(2, d(1, 1))))))-[A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(a1dd, d(2, d(1, d(2, d(1, 1))))-[]).
mm_proof('2a1dd', d(d(d(d(2, d(1, 2)), 1), A), A)-[A=d(2, d(1, d(2, d(1, 1))))]).
mm_proof('pm2.43d', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, 2)))), d(1, d(d(2, 1), 1)))-[]).
mm_proof('pm2.43a', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, 2)))), d(d(2, d(1, 1)), d(d(2, 1), 1)))-[]).
mm_proof('pm2.43', d(2, d(d(2, d(1, d(2, A))), d(d(2, d(1, 1)), A)))-[A=d(d(2, 1), 1)]).
mm_proof(imim2d, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(2, d(1, 1)))-[]).
mm_proof(imim2, d(d(2, d(1, 2)), d(d(2, d(1, 1)), d(d(2, 1), 1)))-[]).
mm_proof(embantd, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(A, d(A, B))))), B)-[B=d(2, d(1, 1)), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2)))]).
mm_proof('3syld', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), A)-[A=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(2, d(1, 1)))))]).
mm_proof(sylsyld, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, 2)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, 1)))), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))-[A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(imim3i, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), 2), 1))-[]).
mm_proof(sylc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, 2)))), F)))))), d(F, G)))))))))), G)-[F=d(2, d(1, 1)), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), G=d(d(2, 1), 1)]).
mm_proof(syl3c, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(A, d(B, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, 2)))), H)))))), d(H, I)))))))))), I)))-[H=d(2, d(1, 1)), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), G), D=d(d(d(2, d(1, 2)), 1), F), A=d(d(d(2, d(1, 2)), 1), C), B=d(d(d(2, d(1, 2)), 1), D), I=d(d(2, 1), 1)]).
mm_proof(syl6mpi, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), 2)), 1)))))))-[B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 2))]).
mm_proof(mpsyl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, 2)))), F)))))), d(F, G))))))), 1))))), G)-[F=d(2, d(1, 1)), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), G=d(d(2, 1), 1)]).
mm_proof(mpsylsyld, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, 2)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, 1)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), 1)))))-[A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(syl6c, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, 2)))), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(A, 1)))))))-[A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(syl6ci, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, 2)))), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(A, 1))))))))), d(2, d(1, 1)))-[A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(syldd, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, 1)), d(d(2, 1), 1))))))))))-[A=d(2, d(1, 2))]).
mm_proof(syl5d, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(2, d(1, d(A, d(B, d(d(2, 1), 1))))))))))), B)-[B=d(2, d(1, 1)), A=d(2, d(1, 2))]).
mm_proof(syl7, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(2, d(1, d(A, d(B, d(d(2, 1), 1))))))))))), d(d(d(d(2, d(1, 2)), 1), B), 1))-[B=d(2, d(1, 1)), A=d(2, d(1, 2))]).
mm_proof(syl6d, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(A, d(B, d(d(2, 1), 1)))))))), B))))-[B=d(2, d(1, 1)), A=d(2, d(1, 2))]).
mm_proof(syl8, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(A, d(B, d(d(2, 1), 1)))))))), d(d(d(d(2, d(1, 2)), 1), B), 1)))))-[B=d(2, d(1, 1)), A=d(2, d(1, 2))]).
mm_proof(syl9, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(A, d(B, d(d(2, 1), 1)))))))), 1))))), B)-[B=d(2, d(1, 1)), A=d(2, d(1, 2))]).
mm_proof(syl9r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, D)))))), 1))))), E)))))), D)-[E=d(2, d(1, 1)), C=d(2, d(1, 2)), B=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), B), D=d(E, d(d(2, 1), 1))]).
mm_proof(syl10, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, 1)), d(d(2, 1), 1))))))))), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(A, 1))))))))-[B=d(2, d(1, 2)), A=d(d(d(2, d(1, 2)), 1), 2)]).
mm_proof(a1ddd, d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(2, 1), 1))))))), d(B, C))))-[C=d(1, 1), B=d(2, C), A=d(2, d(1, 2))]).
mm_proof(imim12d, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(B, d(C, d(d(2, 1), 1)))))))), d(A, C)))))), C)-[C=d(2, d(1, 1)), B=d(2, d(1, 2)), A=d(d(d(2, d(1, 2)), 1), B)]).
mm_proof(imim1d, d(d(d(d(2, d(1, 2)), 1), d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, d(B, C)))))), d(A, d(B, d(1, C))))))), B)-[B=d(2, d(1, 1)), A=d(2, d(1, 2)), C=d(d(2, 1), 1)]).
mm_proof(imim1, d(d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, B))))), d(A, d(C, d(1, D)))))), B)-[C=d(2, d(1, 1)), A=d(2, d(1, 2)), D=d(d(2, 1), 1), B=d(C, D)]).
mm_proof('pm2.83', d(A, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, B))))), d(A, d(C, d(1, D)))))), B))))-[C=d(2, d(1, 1)), A=d(2, d(1, 2)), D=d(d(2, 1), 1), B=d(C, D)]).
mm_proof(peirceroll, d(d(2, d(1, d(2, d(d(2, d(A, d(B, C))), d(D, d(d(2, d(A, d(B, d(A, d(D, C))))), E)))))), E)-[C=d(1, F), D=d(2, d(1, 1)), A=d(2, d(1, 2)), B=d(2, d(1, d(2, d(1, d(A, E))))), F=d(d(2, 1), 1), E=d(D, F)]).
mm_proof(com23, d(d(d(d(2, d(1, 2)), 1), d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, B))))), d(1, d(d(2, d(1, d(2, C))), B)))))), D)-[D=d(2, d(1, 1)), A=d(2, d(1, 2)), C=d(d(2, 1), 1), B=d(D, C)]).
mm_proof(com3r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(B, d(d(2, d(1, d(2, d(1, d(B, C))))), d(1, d(d(2, d(1, d(2, D))), C)))))), E))))), C)-[E=d(2, d(1, 1)), B=d(2, d(1, 2)), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(2, 1), 1), C=d(E, D)]).
mm_proof(com13, d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, 2)), 1), 1), d(C, d(A, B))))), D)))-[B=d(2, d(1, 1)), E=d(2, d(1, 2)), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, D))))), d(1, d(d(2, d(1, d(2, F))), D)))))), F=d(d(2, 1), 1), D=d(B, F)]).
mm_proof(com3l, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, D))))), E))))))), E)-[D=d(2, d(1, 1)), F=d(2, d(1, 2)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, E))))), d(1, d(d(2, d(1, d(2, G))), E)))))), G=d(d(2, 1), 1), E=d(D, G)]).
mm_proof('pm2.04', d(d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, B))))), d(1, d(d(2, d(1, d(2, C))), B))))), B)-[A=d(2, d(1, 2)), C=d(d(2, 1), 1), B=d(d(2, d(1, 1)), C)]).
mm_proof(com34, d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, B))))), d(1, d(d(2, d(1, d(2, C))), B))))), B)))))-[A=d(2, d(1, 2)), C=d(d(2, 1), 1), B=d(d(2, d(1, 1)), C)]).
mm_proof(com4l, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(A, B)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, F))))), B))))))), B))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), A=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, B))))), d(1, d(d(2, d(1, d(2, H))), B))))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), A), H=d(d(2, 1), 1), B=d(F, H)]).
mm_proof(com4t, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, F))))), G))))))), G)))))))), G))))))), G))-[F=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, G))))), d(1, d(d(2, d(1, d(2, J))), G))))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), F), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(I, G)))))), D=d(d(d(2, d(1, 2)), 1), I), J=d(d(2, 1), 1), G=d(F, J)]).
mm_proof(com4r, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, F))))), G))))))), G)))))))), G))))))), G)))))))), G))))))), G))-[F=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, G))))), d(1, d(d(2, d(1, d(2, J))), G))))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), F), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(I, G)))))), D=d(d(d(2, d(1, 2)), 1), I), J=d(d(2, 1), 1), G=d(F, J)]).
mm_proof(com24, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, F))))), G))))))), G)))))))), G))))))), G)))))))), G)))-[F=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, G))))), d(1, d(d(2, d(1, d(2, J))), G))))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), F), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(I, G)))))), A=d(d(d(2, d(1, 2)), 1), I), J=d(d(2, 1), 1), G=d(F, J)]).
mm_proof(com14, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(E, F)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, G))))), F))))))), F)))))))), F)-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), E=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, F))))), d(1, d(d(2, d(1, d(2, I))), F))))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), G), C=d(d(d(2, d(1, 2)), 1), E), I=d(d(2, 1), 1), F=d(G, I)]).
mm_proof(com45, d(2, d(A, d(B, d(C, d(1, d(d(2, d(A, d(B, d(1, d(d(2, d(1, d(2, D))), E))))), E))))))-[C=d(2, d(1, 1)), A=d(2, d(1, 2)), B=d(2, d(1, d(2, d(1, d(A, E))))), D=d(d(2, 1), 1), E=d(C, D)]).
mm_proof(com35, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(B, d(C, d(D, E))))), A))-[E=d(1, d(d(2, d(B, d(C, d(1, d(d(2, d(1, d(2, F))), G))))), G)), D=d(2, d(1, 1)), B=d(2, d(1, 2)), C=d(2, d(1, d(2, d(1, d(B, G))))), A=d(2, d(1, d(2, E))), F=d(d(2, 1), 1), G=d(D, F)]).
mm_proof(com25, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(F, d(G, d(H, I))))), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, H))))), J))))))), J)))))))), J))))))), J)))))))), J)))))))))), J))))))), J)))))))), J))))))), J)))))))), J)))-[I=d(1, d(K, J)), H=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, d(2, d(1, d(F, J))))), K=d(2, d(F, d(G, d(1, d(d(2, d(1, d(2, L))), J))))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, I)))), A=d(d(d(2, d(1, 2)), 1), K), L=d(d(2, 1), 1), J=d(H, L)]).
mm_proof(com5l, d(d(d(d(2, d(1, 2)), 1), d(2, d(A, d(B, d(C, D))))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, D)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(G, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(G, C))))), H))))))), H)))-[D=d(1, d(I, H)), C=d(2, d(1, 1)), A=d(2, d(1, 2)), B=d(2, d(1, d(2, d(1, d(A, H))))), I=d(2, d(A, d(B, d(1, d(d(2, d(1, d(2, J))), H))))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), I), J=d(d(2, 1), 1), H=d(C, J)]).
mm_proof(com15, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(2, d(F, d(G, d(H, I))))), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, H))))), J))))))), J))))))))), J))))))), J)))))))), J))))))), J)))))))), J))))))), J))-[I=d(1, d(K, J)), H=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, d(2, d(1, d(F, J))))), K=d(2, d(F, d(G, d(1, d(d(2, d(1, d(2, L))), J))))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), H), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, I)))), D=d(d(d(2, d(1, 2)), 1), K), L=d(d(2, 1), 1), J=d(H, L)]).
mm_proof(com52l, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, G))))), H))))))), H))))))))), H))))))), H)))-[I=d(1, d(J, H)), G=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, d(2, d(1, d(K, H))))), J=d(2, d(K, d(L, d(1, d(d(2, d(1, d(2, M))), H))))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, I)))), E=d(d(d(2, d(1, 2)), 1), J), A=d(d(d(2, d(1, 2)), 1), d(2, d(K, d(L, d(G, I))))), M=d(d(2, 1), 1), H=d(G, M)]).
mm_proof(com52r, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, G))))), H))))))), H))))))))), H))))))), H))))))))), H))))))), H)))-[I=d(1, d(J, H)), G=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, d(2, d(1, d(K, H))))), J=d(2, d(K, d(L, d(1, d(d(2, d(1, d(2, M))), H))))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, I)))), E=d(d(d(2, d(1, 2)), 1), J), A=d(d(d(2, d(1, 2)), 1), d(2, d(K, d(L, d(G, I))))), M=d(d(2, 1), 1), H=d(G, M)]).
mm_proof(com5r, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(E, G))))), H))))))), H))))))))), H))))))), H))))))))), H))))))), H))))))))), H))))))), H)))-[I=d(1, d(J, H)), G=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, d(2, d(1, d(K, H))))), J=d(2, d(K, d(L, d(1, d(d(2, d(1, d(2, M))), H))))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, I)))), E=d(d(d(2, d(1, 2)), 1), J), A=d(d(d(2, d(1, 2)), 1), d(2, d(K, d(L, d(G, I))))), M=d(d(2, 1), 1), H=d(G, M)]).
mm_proof(imim12, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(1, d(d(2, d(A, d(B, d(A, d(C, d(1, D)))))), E))))), d(C, F))))), E)-[C=d(2, d(1, 1)), A=d(2, d(1, 2)), B=d(2, d(1, d(2, d(1, F)))), D=d(d(2, 1), 1), E=d(C, D), F=d(A, E)]).
mm_proof(jarr, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, d(1, A))))), d(B, 1))))), d(B, A))-[B=d(2, d(1, 1)), A=d(d(2, 1), 1)]).
mm_proof('pm2.86d', d(d(d(d(2, d(1, 2)), 1), d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, B))))), d(1, d(d(2, d(1, d(2, C))), B)))))), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, 2))), d(D, 1)))))), B)))-[D=d(2, d(1, 1)), A=d(2, d(1, 2)), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), C=d(d(2, 1), 1), B=d(D, C)]).
mm_proof('pm2.86', d(d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, B))))), d(1, d(C, B))))), d(D, d(d(2, d(1, d(2, d(C, d(D, 1))))), B)))-[D=d(2, d(1, 1)), A=d(2, d(1, 2)), C=d(2, d(1, d(2, E))), E=d(d(2, 1), 1), B=d(D, E)]).
mm_proof(loolin, d(d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, A)))), d(B, 1))))), d(B, C)))), A)-[A=d(1, C), B=d(2, d(1, 1)), C=d(d(2, 1), 1)]).
mm_proof(loowoz, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, d(1, A))))), d(B, 1))))), d(B, A)))-[B=d(2, d(1, 1)), A=d(d(2, 1), 1)]).
mm_proof(con4, 3-[]).
mm_proof(con4d, d(2, d(1, 3))-[]).
mm_proof(mt4, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), 3)-[]).
mm_proof(mt4d, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, 3))))-[]).
mm_proof(mt4i, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, 3))))), 1)-[]).
mm_proof('pm2.21d', d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 3))), d(2, d(1, 1)))-[]).
mm_proof('pm2.21ddALT', d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 3))), d(2, d(1, 1)))))-[]).
mm_proof('pm2.21', d(d(2, d(1, 3)), d(d(2, d(1, 1)), d(d(2, 1), 1)))-[]).
mm_proof('pm2.24', d(d(2, d(1, d(2, d(d(2, d(1, 3)), A)))), A)-[A=d(d(2, d(1, 1)), d(d(2, 1), 1))]).
mm_proof(jarl, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, d(1, A))))), d(B, d(d(2, d(1, 3)), C)))))), C)-[B=d(2, d(1, 1)), A=d(d(2, 1), 1), C=d(B, A)]).
mm_proof('pm2.18d', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(2, d(A, d(d(2, d(1, 1)), B)))))))), B)-[A=d(2, d(1, 3)), B=d(d(2, 1), 1)]).
mm_proof('pm2.18', d(d(2, d(A, d(d(2, d(1, d(2, d(A, d(d(2, d(1, 1)), B))))), B))), B)-[A=d(2, d(1, 3)), B=d(d(2, 1), 1)]).
mm_proof(notnotr, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, B))), C))), C))), B)-[A=d(2, d(1, 3)), C=d(d(2, 1), 1), B=d(A, d(d(2, d(1, 1)), C))]).
mm_proof(notnotrd, d(2, d(1, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, B))), C))), C))), B)))-[A=d(2, d(1, 3)), C=d(d(2, 1), 1), B=d(A, d(d(2, d(1, 1)), C))]).
mm_proof(con2d, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, 2))), d(D, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, E))), F))), F))), E))))))), G))-[D=d(2, d(1, 1)), A=d(2, d(1, 3)), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), F=d(d(2, 1), 1), G=d(D, F), E=d(A, G)]).
mm_proof(con2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof(mt2d, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, 2))), d(D, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, E))), F))), F))), E))))))), G))))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(2, 1), 1), G=d(D, F), E=d(B, G)]).
mm_proof(mt2i, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, 2))), d(D, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, E))), F))), F))), E))))))), G))))), 1)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(2, 1), 1), G=d(D, F), E=d(B, G)]).
mm_proof(nsyl3, d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, 1)))), d(D, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, E))), F))), F))), E))))))), G)))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(2, 1), 1), G=d(D, F), E=d(B, G)]).
mm_proof(nsyl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(B, d(D, d(E, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, 1)))), G))))), H))))))))), G)))))), H))))), I)-[J=d(2, d(1, 1)), K=d(2, d(1, 3)), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), K), D=d(d(d(2, d(1, 2)), 1), F), B=d(d(d(2, d(1, 2)), 1), E), I=d(d(2, 1), 1), H=d(J, I), G=d(J, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, L))), I))), I))), L)), L=d(K, H)]).
mm_proof(nsyl2, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, 1)))), d(D, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, E))), F))), F))), E))))))), G))))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(2, 1), 1), G=d(D, F), E=d(B, G)]).
mm_proof(notnot, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))), B)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof(notnotd, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))), B)))-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof(con1d, d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))), B))))))-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof(con1, d(A, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))), B))))), B))-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof(mt3d, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))), B))))))))-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof(mt3i, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))), B))))))))), 1)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof('pm2.24d', d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))), B)))))), C))-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof(con3d, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), C)))), D))), B)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, 2))), C))))), D)))-[G=d(2, d(1, 1)), A=d(2, d(1, 3)), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), B=d(d(2, 1), 1), D=d(G, B), C=d(G, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, H))), B))), B))), H)), H=d(A, D)]).
mm_proof(con3, d(A, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), C)))), D))), B))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), C)))), D)))-[E=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), D=d(E, B), C=d(E, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, F))), B))), B))), F)), F=d(A, D)]).
mm_proof(con3rr3, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), E)))), F))), D)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), E))))), F))))))), F)-[G=d(2, d(1, 1)), C=d(2, d(1, 3)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(2, 1), 1), F=d(G, D), E=d(G, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, H))), D))), D))), H)), H=d(C, F)]).
mm_proof(nsyld, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), E)))), F))), D)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(G, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(G, 2))), E))))), F)))))))-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), G=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(2, 1), 1), F=d(B, D), E=d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, H))), D))), D))), H)), H=d(C, F)]).
mm_proof(nsyli, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(C, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), F)))), G))), E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, 2))), F))))), G)))))))), H)))))), G)-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), B=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), C), E=d(d(2, 1), 1), G=d(H, E), F=d(H, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, I))), E))), E))), I)), I=d(D, G)]).
mm_proof('pm3.2im', d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), C)))), d(D, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, E))), B))), B))), E)))))), C))-[D=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), C=d(D, B), E=d(A, C)]).
mm_proof(jcn, d(A, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), C)))), D))), B))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), D)))), C)))), D)))-[E=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), D=d(E, B), C=d(E, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, F))), B))), B))), F)), F=d(A, D)]).
mm_proof(jcnd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(C, d(d(2, d(1, d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), E)))), F))), D))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), F)))), E)))), F))))))), G))))), F))))))), D)-[G=d(2, d(1, 1)), C=d(2, d(1, 3)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(2, 1), 1), F=d(G, D), E=d(G, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, H))), D))), D))), H)), H=d(C, F)]).
mm_proof(simprim, d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E)))-[F=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(F, C), G=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), d(F, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, G))), C))), C))), G)))))), E)]).
mm_proof(simplim, d(3, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, D))), B))), B))), D)))))), E))), D))-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), E=d(C, B), D=d(A, E)]).
mm_proof('pm2.5g', d(A, d(d(2, d(1, d(2, d(1, d(B, C))))), d(D, d(3, d(B, E)))))-[D=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), d(D, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, E))), C))), C))), E)))))), F))), C=d(d(2, 1), 1), F=d(D, C), E=d(A, F)]).
mm_proof('pm2.5', d(A, d(d(2, d(1, d(2, d(1, d(B, C))))), d(D, d(3, d(B, E)))))-[D=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), d(D, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, E))), C))), C))), E)))))), F))), C=d(d(2, 1), 1), F=d(D, C), E=d(A, F)]).
mm_proof(conax1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), C)))), D))), 1))))), C)))), D))), B)-[E=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(d(2, 1), 1), D=d(E, B), C=d(E, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, F))), B))), B))), F)), F=d(A, D)]).
mm_proof(conax1k, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), D)))), E))), 1))))), D)))), E))), C))-[A=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(d(2, 1), 1), E=d(A, C), D=d(A, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, F))), C))), C))), F)), F=d(B, E)]).
mm_proof('pm2.51', d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), D)))), E))), 1))))), D)))), E))), C))-[A=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(d(2, 1), 1), E=d(A, C), D=d(A, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, F))), C))), C))), F)), F=d(B, E)]).
mm_proof('pm2.52', d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), D)))), E))), 1))))), D)))), E))), C))-[A=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(d(2, 1), 1), E=d(A, C), D=d(A, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, F))), C))), C))), F)), F=d(B, E)]).
mm_proof('pm2.521g', d(A, d(B, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), D)))), E))), 1))))), D)))), E))), C)))-[B=d(2, d(1, 1)), A=d(2, d(1, 3)), C=d(d(2, 1), 1), E=d(B, C), D=d(B, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, F))), C))), C))), F)), F=d(A, E)]).
mm_proof('pm2.521g2', d(A, d(3, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), d(A, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, D))), C))), C))), D)))))), E))), D)))-[A=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(d(2, 1), 1), E=d(A, C), D=d(B, E)]).
mm_proof('pm2.521', d(A, d(B, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), D)))), E))), 1))))), D)))), E))), C)))-[B=d(2, d(1, 1)), A=d(2, d(1, 3)), C=d(d(2, 1), 1), E=d(B, C), D=d(B, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, F))), C))), C))), F)), F=d(A, E)]).
mm_proof(expt, d(d(2, d(1, d(2, d(d(2, d(A, d(d(2, d(1, d(2, d(1, d(A, B))))), d(A, d(C, d(1, D)))))), d(C, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), B)))), d(C, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, F))), D))), D))), F)))))), B))))))), B)-[C=d(2, d(1, 1)), A=d(2, d(1, 2)), E=d(2, d(1, 3)), D=d(d(2, 1), 1), B=d(C, D), F=d(E, B)]).
mm_proof(impt, d(d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), d(B, d(3, d(C, D))))))), E))), d(1, d(3, d(C, d(d(2, d(1, d(2, d(F, d(d(2, d(1, d(2, d(1, d(C, G))))), H))))), E)))))-[B=d(2, d(1, 1)), F=d(2, d(1, 3)), A=d(2, d(1, G)), C=d(2, d(F, H)), G=d(d(2, 1), 1), E=d(B, G), D=d(F, E), H=d(d(2, d(1, d(2, d(d(2, d(1, A)), d(B, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, D))), G))), G))), D)))))), E)]).
mm_proof('pm2.61d', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), D)))), d(B, d(2, d(1, d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), d(D, d(d(2, d(1, d(d(2, d(E, d(C, F))), F))), G)))))), H))), F)))))))))))), F)-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), C=d(2, d(1, d(2, G))), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), E), F=d(d(2, 1), 1), H=d(D, F), G=d(E, H)]).
mm_proof('pm2.61d1', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), D)))), d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), d(D, d(d(2, d(1, d(d(2, d(E, d(C, F))), F))), G)))))), H))), F)))))), 1)))))))), F)-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), C=d(2, d(1, d(2, G))), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), E), F=d(d(2, 1), 1), H=d(D, F), G=d(E, H)]).
mm_proof('pm2.61d2', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), D), 1))))), d(B, d(2, d(1, d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), d(D, d(d(2, d(1, d(d(2, d(E, d(C, F))), F))), G)))))), H))), F)))))))))))), F)-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), C=d(2, d(1, d(2, G))), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), E), F=d(d(2, 1), 1), H=d(D, F), G=d(E, H)]).
mm_proof('pm2.61ii', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, 1)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), F), 1))))), d(D, d(2, d(1, d(2, d(1, d(C, G)))))))))))), G)))))-[F=d(2, d(1, 1)), H=d(2, d(1, 3)), E=d(2, d(1, d(2, I))), C=d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), d(F, d(d(2, d(1, A)), I)))))), J))), B=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), H), G=d(d(2, 1), 1), J=d(F, G), I=d(H, J), A=d(d(2, d(H, d(E, G))), G)]).
mm_proof('pm2.61nii', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), H)))), d(E, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(I, J)))))), 1)))))))), J)))))), d(d(d(d(2, d(1, 2)), 1), 3), I)))-[H=d(2, d(1, 1)), K=d(2, d(1, 3)), F=d(2, d(1, d(2, L))), I=d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), d(H, d(d(2, d(1, A)), L)))))), M))), G=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), K), D=d(d(d(2, d(1, 2)), 1), G), J=d(d(2, 1), 1), M=d(H, J), L=d(K, M), A=d(d(2, d(K, d(F, J))), J)]).
mm_proof('pm2.61iii', d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, 1))))), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, E)))), d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), H), E))))), d(F, d(2, d(1, d(2, d(1, d(I, J)))))))))))), J)))))))))-[H=d(2, d(1, 1)), K=d(2, d(1, 3)), G=d(2, d(1, d(2, L))), I=d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), d(H, d(d(2, d(1, M)), L)))))), N))), B=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), K), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), M))), J=d(d(2, 1), 1), N=d(H, J), L=d(K, N), M=d(d(2, d(K, d(G, J))), J), E=d(d(d(d(2, d(1, 2)), 1), 1), H)]).
mm_proof(ja, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), D), d(A, 1)))))), d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), d(D, d(d(2, d(1, d(d(2, d(E, d(C, F))), F))), G)))))), H))), F)))))), 1)))))))), F)-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), C=d(2, d(1, d(2, G))), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), E), F=d(d(2, 1), 1), H=d(D, F), G=d(E, H)]).
mm_proof(jad, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), G), d(F, H)))))), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), d(G, d(d(2, d(1, d(d(2, d(I, d(E, J))), J))), K)))))), L))), J)))))), H)))))))), J)))))), L)-[G=d(2, d(1, 1)), I=d(2, d(1, 3)), E=d(2, d(1, d(2, K))), C=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), D=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), F), J=d(d(2, 1), 1), L=d(G, J), K=d(I, L), H=d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, 2))), L))]).
mm_proof('pm2.01', d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, D))), d(A, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, D)), d(C, d(d(2, d(1, d(d(2, d(A, d(B, E))), E))), F)))))), G))), E))))), H)))))), E)-[H=d(1, E), C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(2, d(1, d(2, F))), D=d(2, H), E=d(d(2, 1), 1), G=d(C, E), F=d(A, G)]).
mm_proof('pm2.01d', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), D))), d(B, d(d(2, d(1, d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), d(D, d(d(2, d(1, d(d(2, d(B, d(C, F))), F))), G)))))), H))), F))))), E))))))), F)-[E=d(1, F), D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, G))), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(2, 1), 1), H=d(D, F), G=d(B, H)]).
mm_proof('pm2.6', d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(2, d(1, d(D, E)))))), d(A, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(D, d(C, d(d(2, d(1, d(d(2, d(A, d(B, F))), F))), G)))))), E))), F))))), d(1, d(d(2, d(1, d(2, F))), E)))))))), F)))), E)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, F)))), B=d(2, d(1, d(2, G))), F=d(d(2, 1), 1), E=d(C, F), G=d(A, E)]).
mm_proof('pm2.61', d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(2, d(1, d(D, E)))))), d(A, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(D, d(C, d(d(2, d(1, d(d(2, d(A, d(B, F))), F))), G)))))), E))), F))))), d(1, d(d(2, d(1, d(2, F))), E)))))))), F)))), E)))), E)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, F)))), B=d(2, d(1, d(2, G))), F=d(d(2, 1), 1), E=d(C, F), G=d(A, E)]).
mm_proof('pm2.65', d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(2, d(1, d(d(2, d(1, d(2, d(A, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G)))))), d(A, d(D, d(1, d(H, G)))))))), E)))), G)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, E)))), D=d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(H, F)))), G))), E))))), B=d(2, d(1, d(2, I))), E=d(d(2, 1), 1), G=d(C, E), F=d(C, d(d(2, d(1, d(d(2, d(A, d(B, E))), E))), I)), I=d(A, G)]).
mm_proof('pm2.65d', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, 2))), J))))), K))))))))))), d(L, d(H, M)))))))), N)-[M=d(1, N), O=d(2, d(1, 1)), L=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), K))), N))))), D=d(2, d(1, d(2, P))), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), O), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), G), N=d(d(2, 1), 1), K=d(O, N), J=d(O, d(d(2, d(1, d(d(2, d(L, d(D, N))), N))), P)), P=d(L, K)]).
mm_proof(mto, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, 1))))), E))))), F)))), G))))), d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, H))))), E))))), F)))), G)))))-[I=d(2, d(1, 1)), J=d(2, d(1, 3)), H=d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), E)))), F))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), J), G=d(d(2, 1), 1), F=d(I, G), E=d(I, d(d(2, d(1, A)), K)), K=d(J, F), A=d(d(2, d(J, d(d(2, d(1, d(2, K))), G))), G)]).
mm_proof(mtod, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, 2))), J))))), K)))))))), L)))))), d(M, d(H, N)))))))), O)-[N=d(1, O), L=d(2, d(1, 1)), M=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), J)))), K))), O))))), D=d(2, d(1, d(2, P))), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), K=d(L, O), J=d(L, d(d(2, d(1, d(d(2, d(M, d(D, O))), O))), P)), P=d(M, K)]).
mm_proof(mtoi, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, 2))), J))))), K)))))))), d(F, 1))))))), d(L, d(H, M)))))))), N)-[M=d(1, N), O=d(2, d(1, 1)), L=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), K))), N))))), D=d(2, d(1, d(2, P))), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), O), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), G), N=d(d(2, 1), 1), K=d(O, N), J=d(O, d(d(2, d(1, d(d(2, d(L, d(D, N))), N))), P)), P=d(L, K)]).
mm_proof(mt2, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, 1)))), E))))), F)))), G))))), d(d(d(d(2, d(1, 2)), 1), 3), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(H, 1)))))), E))))), F)))), G)))))-[I=d(2, d(1, 1)), J=d(2, d(1, 3)), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), J), H=d(d(d(2, d(1, 2)), 1), d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), E)))), F)))), G=d(d(2, 1), 1), F=d(I, G), E=d(I, d(d(2, d(1, A)), K)), K=d(J, F), A=d(d(2, d(J, d(d(2, d(1, d(2, K))), G))), G)]).
mm_proof(peirce, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, D))), d(A, d(d(2, d(1, d(2, d(1, d(E, F))))), d(1, d(3, d(E, G))))))))), F)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(2, d(1, d(2, G))), D=d(2, d(1, F)), E=d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, D)), d(C, d(d(2, d(1, d(d(2, d(A, d(B, F))), F))), G)))))), H))), F=d(d(2, 1), 1), H=d(C, F), G=d(A, H)]).
mm_proof(looinv, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(B, d(d(2, d(C, d(D, E))), d(A, d(d(2, d(1, d(2, d(1, d(F, G))))), d(1, d(3, d(F, H))))))))), G))))), d(d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, I))))), d(C, d(D, J))))), I))-[J=d(1, G), D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), B=d(2, d(1, d(2, H))), E=d(2, J), F=d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, E)), d(D, d(d(2, d(1, d(d(2, d(A, d(B, G))), G))), H)))))), I))), G=d(d(2, 1), 1), I=d(D, G), H=d(A, I)]).
mm_proof(bijust0, d(A, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(B, d(C, d(d(2, d(d(2, d(1, 2)), d(D, E))), d(B, d(d(2, d(1, d(2, d(1, d(F, G))))), H)))))), G))))), I)))), J))), G))), d(3, d(F, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, H))))), I)))), J))), G)))))-[H=d(1, G), D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, K))), E=d(2, H), F=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, E)), I)))), J))), G=d(d(2, 1), 1), J=d(D, G), I=d(D, d(d(2, d(1, A)), K)), K=d(B, J), A=d(d(2, d(B, d(C, G))), G)]).
mm_proof(bijust, d(A, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(B, d(C, d(d(2, d(d(2, d(1, 2)), d(D, E))), d(B, d(d(2, d(1, d(2, d(1, d(F, G))))), H)))))), G))))), I)))), J))), G))), d(3, d(F, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, H))))), I)))), J))), G)))))-[H=d(1, G), D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, K))), E=d(2, H), F=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, E)), I)))), J))), G=d(d(2, 1), 1), J=d(D, G), I=d(D, d(d(2, d(1, A)), K)), K=d(B, J), A=d(d(2, d(B, d(C, G))), G)]).
mm_proof(impbi, d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E)))), F)))), E)))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(G, C), F=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, H))), C))), C))), H)), H=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), F)))), E)]).
mm_proof(impbidd, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E)))), F)))), E)))))))))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(G, C), F=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, H))), C))), C))), H)), H=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), F)))), E)]).
mm_proof(impbid21d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(3, d(D, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(2, d(1, d(D, F))))), G))))), H))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), H)))), I)))), H))))))), J))))), H))))))))), H)-[J=d(2, d(1, 1)), E=d(2, d(1, 3)), D=d(2, d(E, G)), B=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), C), F=d(d(2, 1), 1), H=d(J, F), I=d(J, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, K))), F))), F))), K)), K=d(E, H), G=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), I)))), H)]).
mm_proof(impbid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(3, d(E, d(d(2, d(1, d(2, d(F, d(d(2, d(1, d(2, d(1, d(E, G))))), H))))), I))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), I)))), J)))), I))))))), K))))), I))))))))), I)))), G)-[K=d(2, d(1, 1)), F=d(2, d(1, 3)), E=d(2, d(F, H)), C=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B=d(d(d(2, d(1, 2)), 1), D), G=d(d(2, 1), 1), I=d(K, G), J=d(K, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, L))), G))), G))), L)), L=d(F, I), H=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), J)))), I)]).
mm_proof(biimp, d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(B, D), E=d(C, F)]).
mm_proof(sylbi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1))), d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(B, D), E=d(C, F)]).
mm_proof(sylib, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(B, D), E=d(C, F)]).
mm_proof(sylbb, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), A)))), A)-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), D=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, F))), E))), E))), F)))))), G))), F)), E=d(d(2, 1), 1), G=d(B, E), F=d(C, G), A=d(d(2, d(1, D)), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(biimpr, d(d(2, d(1, A)), d(d(d(2, d(1, B)), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(3, d(3, d(1, C))), C)))-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(G, H))))), G=d(2, d(E, I)), B=d(3, d(G, J)), A=d(3, d(G, d(d(2, d(1, d(2, d(E, d(F, I))))), K))), H=d(d(2, 1), 1), K=d(D, H), L=d(D, d(d(2, d(1, M)), J)), J=d(E, K), I=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), L)))), K), M=d(d(2, d(E, d(d(2, d(1, d(2, J))), H))), H), C=d(M, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), H))), d(3, d(G, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), K)))), L)))), K)))))), L)))), K)))))), K)))))), L)))), K))), H)))))]).
mm_proof(bicom1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, C))))), D))), d(d(2, d(1, E)), d(C, d(d(3, d(3, d(1, F))), F))))))), D)), G)-[B=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(B, G), K=d(B, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), C=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(A, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(bicom, d(d(A, B), B)-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(F, G))))), H=d(2, d(1, d(2, A))), F=d(2, d(D, I)), J=d(3, d(F, K)), L=d(3, d(F, d(d(2, d(1, d(2, d(D, d(E, I))))), M))), G=d(d(2, 1), 1), M=d(C, G), N=d(C, d(d(2, d(1, O)), K)), K=d(D, M), A=d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), M)))), N)))), M))), I=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), N)))), M), P=d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(D, d(d(2, d(1, d(2, K))), G))), G), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(C, P))))), M))), d(d(2, d(1, L)), d(P, d(d(3, d(3, d(1, Q))), Q))))))), M)), G), Q=d(O, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), G))), d(3, d(F, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(H, N)))), M)))))), M)))))), N)))), M))), G)))))]).
mm_proof(bicomd, d(2, d(1, d(A, d(d(B, C), C))))-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(G, H))))), I=d(2, d(1, d(2, B))), G=d(2, d(E, J)), K=d(3, d(G, L)), M=d(3, d(G, d(d(2, d(1, d(2, d(E, d(F, J))))), N))), H=d(d(2, 1), 1), N=d(D, H), O=d(D, d(d(2, d(1, P)), L)), L=d(E, N), B=d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), N)))), O)))), N))), J=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), O)))), N), A=d(d(2, d(1, K)), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(E, d(d(2, d(1, d(2, L))), H))), H), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(D, A))))), N))), d(d(2, d(1, M)), d(A, d(d(3, d(3, d(1, Q))), Q))))))), N)), H), Q=d(P, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), N))), H))), d(3, d(G, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(I, O)))), N)))))), N)))))), O)))), N))), H)))))]).
mm_proof(impbid1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(3, d(E, d(d(2, d(1, d(2, d(F, d(d(2, d(1, d(2, d(1, d(E, G))))), H))))), I))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), I)))), J)))), I))))))), d(d(d(d(2, d(1, 2)), 1), K), 1)))))), I))))))))), I)))), G)-[K=d(2, d(1, 1)), F=d(2, d(1, 3)), E=d(2, d(F, H)), C=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B=d(d(d(2, d(1, 2)), 1), D), G=d(d(2, 1), 1), I=d(K, G), J=d(K, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, L))), G))), G))), L)), L=d(F, I), H=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), J)))), I)]).
mm_proof(impbid2, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, 2)), 1), F), d(E, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), I), 1)))))), J)))))))), J)))), K))-[I=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, K))))), H=d(2, d(1, d(2, B))), N=d(2, d(L, O)), P=d(3, d(N, Q)), R=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, O))))), J))), F=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), G), K=d(d(2, 1), 1), J=d(I, K), S=d(I, d(d(2, d(1, T)), Q)), Q=d(L, J), B=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), S)))), J))), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), S)))), J), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(L, d(d(2, d(1, d(2, Q))), K))), K), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(I, A))))), J))), d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, U))), U))))))), J)), K), U=d(T, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), J))), K))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(H, S)))), J)))))), J)))))), S)))), J))), K)))))]).
mm_proof(impcon4bid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(3, d(E, d(d(2, d(1, d(2, d(F, d(d(2, d(1, d(2, d(1, d(E, G))))), H))))), I))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), I)))), J)))), I))))))), d(d(d(d(2, d(1, 2)), 1), K), F)))))), I))))))))), I)))), G)-[K=d(2, d(1, 1)), F=d(2, d(1, 3)), E=d(2, d(F, H)), C=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B=d(d(d(2, d(1, 2)), 1), D), G=d(d(2, 1), 1), I=d(K, G), J=d(K, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, L))), G))), G))), L)), L=d(F, I), H=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), J)))), I)]).
mm_proof(biimpd, d(2, d(1, d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(B, D), E=d(C, F)]).
mm_proof(mpbi, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(B, D), E=d(C, F)]).
mm_proof(mpbir, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G)))-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(mpbid, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(B, D), E=d(C, F)]).
mm_proof(mpbii, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), 1)-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(B, D), E=d(C, F)]).
mm_proof(sylibr, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G)))))-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(sylbir, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1))), d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G)))-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(sylbbr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), A)))), A)-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, d(E, F))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), I)))), J)))), I)))))), E=d(2, d(C, K)), L=d(3, d(E, M)), H=d(3, d(E, d(d(2, d(1, d(2, d(C, d(D, K))))), I))), F=d(d(2, 1), 1), I=d(B, F), J=d(B, d(d(2, d(1, N)), M)), M=d(C, I), K=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), J)))), I), O=d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(d(2, d(C, d(d(2, d(1, d(2, M))), F))), F), A=d(d(d(d(2, d(1, 2)), 1), O), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(B, O))))), I))), d(d(2, d(1, H)), d(O, d(d(3, d(3, d(1, P))), P))))))), I)), F)), P=d(N, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), F))), d(3, d(E, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(G, J)))), I)))))), I)))))), J)))), I))), F)))))]).
mm_proof(sylbb1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), A)))), d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G)))-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(sylbb2, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G)))))), A)-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(sylibd, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(d(2, d(1, B)), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))-[A=d(2, d(1, 1)), C=d(2, d(1, 3)), B=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(A, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(A, D), E=d(C, F)]).
mm_proof(sylbid, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), A)))), d(2, d(1, d(d(2, d(1, B)), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))-[A=d(2, d(1, 1)), C=d(2, d(1, 3)), B=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(A, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(A, D), E=d(C, F)]).
mm_proof(mpbidi, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(A, d(2, d(1, d(d(2, d(1, B)), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), B=d(3, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), d(C, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, F))), E))), E))), F)))))), G))), F)), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), G=d(C, E), F=d(D, G)]).
mm_proof(biimtrid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, 2)))), d(d(d(d(2, d(1, 2)), 1), D), d(d(2, d(1, E)), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), F)-[D=d(2, d(1, 1)), G=d(2, d(1, 3)), E=d(3, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), d(D, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, I))), H))), H))), I)))))), F))), I)), B=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), C), H=d(d(2, 1), 1), F=d(D, H), I=d(G, F)]).
mm_proof(biimtrrid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, 2)))), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(D, E))))), G))), d(d(2, d(1, H)), d(E, d(d(3, d(3, d(1, I))), I))))))), G)), J))))))))), G)-[D=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, J))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), N)))), G)))))), M=d(2, d(K, O)), P=d(3, d(M, Q)), H=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), C), J=d(d(2, 1), 1), G=d(D, J), N=d(D, d(d(2, d(1, R)), Q)), Q=d(K, G), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), N)))), G), E=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, Q))), J))), J), I=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), G))), J))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(F, N)))), G)))))), G)))))), N)))), G))), J)))))]).
mm_proof(imbitrid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, d(C, d(2, d(1, d(d(2, d(1, D)), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), E)))))), F)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), D=d(3, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), d(E, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, I))), H))), H))), I)))))), F))), I)), B=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), C), H=d(d(2, 1), 1), F=d(E, H), I=d(G, F)]).
mm_proof(syl5ibcom, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(2, d(1, d(d(2, d(1, F)), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), G)))))), H)))))), H)-[G=d(2, d(1, 1)), I=d(2, d(1, 3)), F=d(3, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), d(G, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, K))), J))), J))), K)))))), H))), K)), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), J=d(d(2, 1), 1), H=d(G, J), K=d(I, H)]).
mm_proof(imbitrrid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, D))), d(2, d(1, d(D, d(d(E, F), F)))))))))), G)))))), H)-[G=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, E))), K=d(2, d(I, N)), O=d(3, d(K, P)), Q=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, N))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), C), L=d(d(2, 1), 1), H=d(G, L), R=d(G, d(d(2, d(1, S)), P)), P=d(I, H), E=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), R)))), H))), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), R)))), H), D=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(I, d(d(2, d(1, d(2, P))), L))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, D))))), H))), d(d(2, d(1, Q)), d(D, d(d(3, d(3, d(1, T))), T))))))), H)), L), T=d(S, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), H))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, R)))), H)))))), H)))))), R)))), H))), L)))))]).
mm_proof(syl5ibrcom, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, F))), d(2, d(1, d(F, d(d(G, H), H)))))))))), I)))))), J)))))), J)-[I=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, G))), M=d(2, d(K, P)), Q=d(3, d(M, R)), S=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, P))))), J))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), N=d(d(2, 1), 1), J=d(I, N), T=d(I, d(d(2, d(1, U)), R)), R=d(K, J), G=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), J)))), T)))), J))), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), T)))), J), F=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(K, d(d(2, d(1, d(2, R))), N))), N), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, F))))), J))), d(d(2, d(1, S)), d(F, d(d(3, d(3, d(1, V))), V))))))), J)), N), V=d(U, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), J))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, T)))), J)))))), J)))))), T)))), J))), N)))))]).
mm_proof(biimprd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, C))), d(2, d(1, d(C, d(d(D, E), E))))))))), F))))), F)-[G=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, D))), J=d(2, d(H, M)), N=d(3, d(J, O)), P=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), F=d(G, K), Q=d(G, d(d(2, d(1, R)), O)), O=d(H, F), D=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), F)))), Q)))), F))), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), Q)))), F), C=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(H, d(d(2, d(1, d(2, O))), K))), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), F))), d(d(2, d(1, P)), d(C, d(d(3, d(3, d(1, S))), S))))))), F)), K), S=d(R, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Q)))), F)))))), F)))))), Q)))), F))), K)))))]).
mm_proof(biimpcd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(2, d(1, d(d(2, d(1, C)), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), D))))), D))))), D)-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), C=d(3, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), d(E, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, H))), G))), G))), H)))))), D))), H)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(2, 1), 1), D=d(E, G), H=d(F, D)]).
mm_proof(biimprcd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, C))), d(2, d(1, d(C, d(d(D, E), E))))))))), F))))), F))))), F)-[G=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, D))), J=d(2, d(H, M)), N=d(3, d(J, O)), P=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), F=d(G, K), Q=d(G, d(d(2, d(1, R)), O)), O=d(H, F), D=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), F)))), Q)))), F))), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), Q)))), F), C=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(H, d(d(2, d(1, d(2, O))), K))), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), F))), d(d(2, d(1, P)), d(C, d(d(3, d(3, d(1, S))), S))))))), F)), K), S=d(R, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Q)))), F)))))), F)))))), Q)))), F))), K)))))]).
mm_proof(imbitrdi, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(2, d(1, C)), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), C=d(3, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), d(D, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, G))), F))), F))), G)))))), H))), G)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(2, 1), 1), H=d(D, F), G=d(E, H)]).
mm_proof(imbitrrdi, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I)))))))-[E=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, I))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), M)))), F)))))), L=d(2, d(J, N)), O=d(3, d(L, P)), G=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, N))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), F=d(E, I), M=d(E, d(d(2, d(1, Q)), P)), P=d(J, F), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), M)))), F), C=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, P))), I))), I), H=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), F))), I))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(D, M)))), F)))))), F)))))), M)))), F))), I)))))]).
mm_proof(biimtrdi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(A, 1))))), d(2, d(1, d(d(2, d(1, B)), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), B=d(3, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), d(C, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, F))), E))), E))), F)))))), G))), F)), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), G=d(C, E), F=d(D, G)]).
mm_proof(biimtrrdi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, 1))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, C))), d(2, d(1, d(C, d(d(D, E), E))))))))), F))))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, D))), J=d(2, d(H, M)), N=d(3, d(J, O)), P=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), F=d(G, K), Q=d(G, d(d(2, d(1, R)), O)), O=d(H, F), D=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), F)))), Q)))), F))), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), Q)))), F), C=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(H, d(d(2, d(1, d(2, O))), K))), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), F))), d(d(2, d(1, P)), d(C, d(d(3, d(3, d(1, S))), S))))))), F)), K), S=d(R, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Q)))), F)))))), F)))))), Q)))), F))), K)))))]).
mm_proof(syl7bi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(2, d(1, d(2, d(1, d(A, B))))))))), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), 1), d(d(2, d(1, D)), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))-[C=d(2, d(1, 1)), A=d(2, d(1, 2)), E=d(2, d(1, 3)), D=d(3, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), d(C, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, G))), F))), F))), G)))))), B))), G)), F=d(d(2, 1), 1), B=d(C, F), G=d(E, B)]).
mm_proof(syl8ib, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(A, B)))))), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), 1), d(d(2, d(1, D)), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))-[C=d(2, d(1, 1)), A=d(2, d(1, 2)), E=d(2, d(1, 3)), D=d(3, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), d(C, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, G))), F))), F))), G)))))), B))), G)), F=d(d(2, 1), 1), B=d(C, F), G=d(E, B)]).
mm_proof(mpbird, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, C))), d(2, d(1, d(C, d(d(D, E), E))))))))), F))))), F)))-[G=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, D))), J=d(2, d(H, M)), N=d(3, d(J, O)), P=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), F=d(G, K), Q=d(G, d(d(2, d(1, R)), O)), O=d(H, F), D=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), F)))), Q)))), F))), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), Q)))), F), C=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(H, d(d(2, d(1, d(2, O))), K))), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), F))), d(d(2, d(1, P)), d(C, d(d(3, d(3, d(1, S))), S))))))), F)), K), S=d(R, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Q)))), F)))))), F)))))), Q)))), F))), K)))))]).
mm_proof(mpbiri, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, C))), d(2, d(1, d(C, d(d(D, E), E))))))))), F))))), F)))), 1)-[G=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, D))), J=d(2, d(H, M)), N=d(3, d(J, O)), P=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), F=d(G, K), Q=d(G, d(d(2, d(1, R)), O)), O=d(H, F), D=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), F)))), Q)))), F))), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), Q)))), F), C=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(H, d(d(2, d(1, d(2, O))), K))), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), F))), d(d(2, d(1, P)), d(C, d(d(3, d(3, d(1, S))), S))))))), F)), K), S=d(R, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Q)))), F)))))), F)))))), Q)))), F))), K)))))]).
mm_proof(sylibrd, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, D))), d(2, d(1, d(D, d(d(E, F), F))))))))), G))))), G)))))-[B=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, E))), J=d(2, d(H, M)), N=d(3, d(J, O)), P=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), G))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), G=d(B, K), Q=d(B, d(d(2, d(1, R)), O)), O=d(H, G), E=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G)))), Q)))), G))), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), Q)))), G), D=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(H, d(d(2, d(1, d(2, O))), K))), K), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(B, D))))), G))), d(d(2, d(1, P)), d(D, d(d(3, d(3, d(1, S))), S))))))), G)), K), S=d(R, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), G))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Q)))), G)))))), G)))))), Q)))), G))), K)))))]).
mm_proof(sylbird, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), B)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, D))), d(2, d(1, d(D, d(d(E, F), F))))))))), G))))), G))-[B=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, E))), J=d(2, d(H, M)), N=d(3, d(J, O)), P=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), G))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), G=d(B, K), Q=d(B, d(d(2, d(1, R)), O)), O=d(H, G), E=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G)))), Q)))), G))), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), Q)))), G), D=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(H, d(d(2, d(1, d(2, O))), K))), K), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(B, D))))), G))), d(d(2, d(1, P)), d(D, d(d(3, d(3, d(1, S))), S))))))), G)), K), S=d(R, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), G))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Q)))), G)))))), G)))))), Q)))), G))), K)))))]).
mm_proof(biidd, d(1, d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E)))), F)))), E))), C), C))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(G, C), F=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, H))), C))), C))), H)), H=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), F)))), E)]).
mm_proof('pm5.1im', d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E)))), F)))), E)))))), d(G, 1))))), E))), 1)))), E)-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(G, C), F=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, H))), C))), C))), H)), H=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), F)))), E)]).
mm_proof('2thd', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(3, d(C, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(2, d(1, d(C, E))))), F))))), G))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), G)))), H)))), G)))))), d(I, 1))))), G))), 1)))), G))))), I))))), G))))))), E)-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), C=d(2, d(D, F)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), G=d(I, E), H=d(I, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, J))), E))), E))), J)), J=d(D, G), F=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), H)))), G)]).
mm_proof(monothetic, d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E)))), F)))), E))), G), G)-[G=d(1, C), H=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(H, C), F=d(H, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, I))), C))), C))), I)), I=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), E)]).
mm_proof(ibi, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), B)-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), A=d(3, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B)))), d(C, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, E))), B))), B))), E)))))), F))), E)), B=d(d(2, 1), 1), F=d(C, B), E=d(D, F)]).
mm_proof(ibir, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, A))), d(2, d(1, d(A, d(d(B, C), C))))))), D)-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(H, D))))), I=d(2, d(1, d(2, B))), H=d(2, d(F, J)), K=d(3, d(H, L)), M=d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, J))))), N))), D=d(d(2, 1), 1), N=d(E, D), O=d(E, d(d(2, d(1, P)), L)), L=d(F, N), B=d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), N)))), O)))), N))), J=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), O)))), N), A=d(d(2, d(1, K)), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(F, d(d(2, d(1, d(2, L))), D))), D), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(E, A))))), N))), d(d(2, d(1, M)), d(A, d(d(3, d(3, d(1, Q))), Q))))))), N)), D), Q=d(P, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), N))), D))), d(3, d(H, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(I, O)))), N)))))), N)))))), O)))), N))), D)))))]).
mm_proof(ibd, d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B))))-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), A=d(3, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), d(C, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, F))), E))), E))), F)))))), B))), F)), E=d(d(2, 1), 1), B=d(C, E), F=d(D, B)]).
mm_proof('pm5.74', d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(D, d(2, d(1, E)))))))), F))), d(D, d(2, d(1, G))))))), F)), H)), d(d(2, d(D, d(d(2, d(1, d(2, d(1, A)))), d(I, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), J)))), F)))))), d(I, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), J)))), F)))))-[C=d(2, d(1, 1)), D=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), B=d(2, d(1, d(2, A))), I=d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, F))))), d(1, N)))), M=d(2, d(K, O)), P=d(3, d(M, Q)), R=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), F))), H=d(d(2, 1), 1), J=d(C, 1), F=d(C, H), S=d(C, d(d(2, d(1, T)), Q)), Q=d(K, F), A=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), F))), N=d(d(2, d(1, d(2, H))), F), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), S)))), F), G=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, R)), d(G, d(d(3, d(3, d(1, U))), U))), T=d(d(2, d(K, d(d(2, d(1, d(2, Q))), H))), H), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), F))), H))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(B, S)))), F)))))), F)))))), S)))), F))), H)))))]).
mm_proof('pm5.74i', d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(2, d(1, F)))))))), G))), d(E, d(2, d(1, A))))))), G)), H)), d(d(2, d(E, d(d(2, d(1, d(2, d(1, B)))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), G)))))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), J)))), G))))))-[D=d(2, d(1, 1)), E=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), C=d(2, d(1, d(2, B))), I=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, G))))), d(1, N)))), M=d(2, d(K, O)), P=d(3, d(M, Q)), R=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), G))), H=d(d(2, 1), 1), J=d(D, 1), G=d(D, H), S=d(D, d(d(2, d(1, T)), Q)), Q=d(K, G), B=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), G))), N=d(d(2, d(1, d(2, H))), G), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), S)))), G), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, U))), U))), T=d(d(2, d(K, d(d(2, d(1, d(2, Q))), H))), H), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), G))), H))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(C, S)))), G)))))), G)))))), S)))), G))), H)))))]).
mm_proof('pm5.74ri', d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), E)))), D)), F), d(d(G, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(H, d(2, d(1, E)))))))), D))), d(H, d(2, d(1, A))))))), D)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, G)))), d(I, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), D)))))), d(I, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), J)))), D)))))))-[C=d(2, d(1, 1)), H=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, F))))), B=d(2, d(1, d(2, G))), I=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, D))))), d(1, N)))), M=d(2, d(K, O)), P=d(3, d(M, Q)), R=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), D))), F=d(d(2, 1), 1), J=d(C, 1), D=d(C, F), S=d(C, d(d(2, d(1, T)), Q)), Q=d(K, D), G=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), D))), N=d(d(2, d(1, d(2, F))), D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), S)))), D), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, U))), U))), T=d(d(2, d(K, d(d(2, d(1, d(2, Q))), F))), F), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), D))), F))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(B, S)))), D)))))), D)))))), S)))), D))), F)))))]).
mm_proof('pm5.74d', d(2, d(1, d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(2, d(1, F)))))))), G))), d(E, d(2, d(1, A))))))), G)), H)), d(d(2, d(E, d(d(2, d(1, d(2, d(1, B)))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), G)))))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), J)))), G))))))))-[D=d(2, d(1, 1)), E=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), C=d(2, d(1, d(2, B))), I=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, G))))), d(1, N)))), M=d(2, d(K, O)), P=d(3, d(M, Q)), R=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), G))), H=d(d(2, 1), 1), J=d(D, 1), G=d(D, H), S=d(D, d(d(2, d(1, T)), Q)), Q=d(K, G), B=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), G))), N=d(d(2, d(1, d(2, H))), G), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), S)))), G), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, U))), U))), T=d(d(2, d(K, d(d(2, d(1, d(2, Q))), H))), H), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), G))), H))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(C, S)))), G)))))), G)))))), S)))), G))), H)))))]).
mm_proof('pm5.74rd', d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), E)))), D)), F), d(d(G, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(H, d(2, d(1, E)))))))), D))), d(H, d(2, d(1, A))))))), D)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, G)))), d(I, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), D)))))), d(I, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), J)))), D)))))))))-[C=d(2, d(1, 1)), H=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, F))))), B=d(2, d(1, d(2, G))), I=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, D))))), d(1, N)))), M=d(2, d(K, O)), P=d(3, d(M, Q)), R=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), D))), F=d(d(2, 1), 1), J=d(C, 1), D=d(C, F), S=d(C, d(d(2, d(1, T)), Q)), Q=d(K, D), G=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), D))), N=d(d(2, d(1, d(2, F))), D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), S)))), D), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, U))), U))), T=d(d(2, d(K, d(d(2, d(1, d(2, Q))), F))), F), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), D))), F))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(B, S)))), D)))))), D)))))), S)))), D))), F)))))]).
mm_proof(bitri, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, D)))), D)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, E)))), E))-[F=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(I, J))))), K=d(2, d(1, d(2, A))), I=d(2, d(G, L)), M=d(3, d(I, N)), O=d(3, d(I, d(d(2, d(1, d(2, d(G, d(H, L))))), P))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), J=d(d(2, 1), 1), P=d(F, J), Q=d(F, d(d(2, d(1, R)), N)), N=d(G, P), A=d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), P)))), Q)))), P))), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), Q)))), P), D=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(G, d(d(2, d(1, d(2, N))), J))), J), E=d(d(d(d(2, d(1, 2)), 1), D), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, D))))), P))), d(d(2, d(1, O)), d(D, d(d(3, d(3, d(1, S))), S))))))), P)), J)), S=d(R, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), J))), d(3, d(I, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(K, Q)))), P)))))), P)))))), Q)))), P))), J)))))]).
mm_proof(bitr2i, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, E)))), E)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(C, d(D, F)))), F)))-[G=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, B))), J=d(2, d(H, M)), N=d(3, d(J, O)), P=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), Q))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), Q=d(G, K), R=d(G, d(d(2, d(1, S)), O)), O=d(H, Q), B=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), Q)))), R)))), Q))), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), R)))), Q), E=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(H, d(d(2, d(1, d(2, O))), K))), K), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, E))))), Q))), d(d(2, d(1, P)), d(E, d(d(3, d(3, d(1, T))), T))))))), Q)), K), F=d(d(d(d(2, d(1, 2)), 1), E), A), T=d(S, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), Q))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, R)))), Q)))))), Q)))))), R)))), Q))), K)))))]).
mm_proof(bitr4i, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), B)), C)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B)), d(D, d(d(d(d(2, d(1, 2)), 1), E), E))))-[F=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(I, J))))), K=d(2, d(1, d(2, A))), I=d(2, d(G, L)), M=d(3, d(I, N)), O=d(3, d(I, d(d(2, d(1, d(2, d(G, d(H, L))))), P))), D=d(d(d(2, d(1, 2)), 1), C), J=d(d(2, 1), 1), P=d(F, J), Q=d(F, d(d(2, d(1, R)), N)), N=d(G, P), A=d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), P)))), Q)))), P))), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), Q)))), P), C=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(G, d(d(2, d(1, d(2, N))), J))), J), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, C))))), P))), d(d(2, d(1, O)), d(C, d(d(3, d(3, d(1, S))), S))))))), P)), J), B=d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(D, E))), S=d(R, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), J))), d(3, d(I, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(K, Q)))), P)))))), P)))))), Q)))), P))), J)))))]).
mm_proof(bitrd, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, G)))), G)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, H)))), H)))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, D))), P=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, Q))))), d(1, R)))), M=d(2, d(K, S)), T=d(3, d(M, U)), V=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, S))))), Q))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), W=d(d(d(2, d(1, 2)), 1), A), N=d(d(2, 1), 1), X=d(I, 1), Q=d(I, N), Y=d(I, d(d(2, d(1, Z)), U)), U=d(K, Q), D=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), Q))), R=d(d(2, d(1, d(2, N))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), Y)))), Q), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(K, d(d(2, d(1, d(2, U))), N))), N), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, A))))), Q))), A1)))), Q)), N), H=d(W, d(d(d(d(2, d(1, 2)), 1), B), C1)), G=d(W, C1), C1=d(A, C), B1=d(Z, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), Q))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, Y)))), Q)))))), Q)))))), Y)))), Q))), N))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(J, d(2, d(1, A1)))))))), Q))), d(J, d(2, d(1, A))))))), Q)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, D)))), d(P, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), Q)))))), d(P, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), Q)))))]).
mm_proof(bitr2d, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(C, D)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, G)))), G)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, H)))), H))))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, B))), P=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, Q))))), d(1, R)))), M=d(2, d(K, S)), T=d(3, d(M, U)), V=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, S))))), Q))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), W=d(d(d(2, d(1, 2)), 1), A), N=d(d(2, 1), 1), X=d(I, 1), Q=d(I, N), Y=d(I, d(d(2, d(1, Z)), U)), U=d(K, Q), B=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), Q))), R=d(d(2, d(1, d(2, N))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), Y)))), Q), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(K, d(d(2, d(1, d(2, U))), N))), N), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, A))))), Q))), A1)))), Q)), N), H=d(W, d(d(d(d(2, d(1, 2)), 1), C), C1)), G=d(W, C1), C1=d(A, D), B1=d(Z, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), Q))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, Y)))), Q)))))), Q)))))), Y)))), Q))), N))))), D=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(J, d(2, d(1, A1)))))))), Q))), d(J, d(2, d(1, A))))))), Q)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(P, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), Q)))))), d(P, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), Q)))))]).
mm_proof(bitr3d, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, D))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), B), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), I=d(d(d(d(2, d(1, 2)), 1), H), d(2, d(1, d(A, d(d(D, B), B))))), H=d(A, C), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, D)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitr4d, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, D))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), B), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), H=d(d(d(d(2, d(1, 2)), 1), I), d(2, d(1, d(A, d(d(D, B), B))))), I=d(A, C), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, D)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitrid, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, D))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), B), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), I=d(d(d(d(2, d(1, 2)), 1), H), 1), H=d(A, C), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, D)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitr2id, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(C, D)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H))))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, B))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), C), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), I=d(d(d(d(2, d(1, 2)), 1), H), 1), H=d(A, D), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), D=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, B)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitr3id, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, D))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), B), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), I=d(d(d(d(2, d(1, 2)), 1), H), d(F, B)), H=d(A, C), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, D)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitr3di, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(C, D)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H))))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, B))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), C), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), I=d(d(d(d(2, d(1, 2)), 1), H), d(F, C)), H=d(A, D), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), D=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, B)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitrdi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, D))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), B), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), H=d(d(d(d(2, d(1, 2)), 1), I), 1), I=d(A, C), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, D)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitr2di, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(C, D)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H))))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, B))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), C), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), H=d(d(d(d(2, d(1, 2)), 1), I), 1), I=d(A, D), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), D=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, B)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitr4di, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, D))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), B), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), H=d(d(d(d(2, d(1, 2)), 1), I), d(F, B)), I=d(A, C), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, D)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof(bitr4id, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(C, D)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H))))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, B))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), C), P=d(d(2, 1), 1), Y=d(K, 1), S=d(K, P), Z=d(K, d(d(2, d(1, A1)), W)), W=d(M, S), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), B1)))), S)), P), H=d(d(d(d(2, d(1, 2)), 1), I), d(F, C)), I=d(A, D), C1=d(A1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Z)))), S)))))), S)))))), Z)))), S))), P))))), D=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, B1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, B)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S)))))]).
mm_proof('3imtr3i', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), B))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), B), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H))))-[D=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), L)))), E)))))), K=d(2, d(I, M)), N=d(3, d(K, O)), F=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, M))))), E))), A=d(d(d(2, d(1, 2)), 1), 2), H=d(d(2, 1), 1), E=d(D, H), L=d(D, d(d(2, d(1, P)), O)), O=d(I, E), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), L)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(I, d(d(2, d(1, d(2, O))), H))), H), G=d(P, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E))), H))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(C, L)))), E)))))), E)))))), L)))), E))), H)))))]).
mm_proof('3imtr4i', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(d(d(d(2, d(1, 2)), 1), B), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, 1))), B))-[D=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), L)))), E)))))), K=d(2, d(I, M)), N=d(3, d(K, O)), F=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, M))))), E))), A=d(d(d(2, d(1, 2)), 1), 2), H=d(d(2, 1), 1), E=d(D, H), L=d(D, d(d(2, d(1, P)), O)), O=d(I, E), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), L)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(I, d(d(2, d(1, d(2, O))), H))), H), G=d(P, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E))), H))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(C, L)))), E)))))), E)))))), L)))), E))), H)))))]).
mm_proof('3imtr3d', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, D)))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(2, d(1, d(F, d(d(G, H), H))))))))), I))))), I))-[J=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, G))), D=d(2, d(1, F)), M=d(2, d(K, P)), Q=d(3, d(M, R)), S=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, P))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), J), B=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), N=d(d(2, 1), 1), I=d(J, N), T=d(J, d(d(2, d(1, U)), R)), R=d(K, I), G=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), I)))), T)))), I))), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), T)))), I), F=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(K, d(d(2, d(1, d(2, R))), N))), N), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, F))))), I))), d(d(2, d(1, S)), d(F, d(d(3, d(3, d(1, V))), V))))))), I)), N), V=d(U, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), I))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, T)))), I)))))), I)))))), T)))), I))), N)))))]).
mm_proof('3imtr4d', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, 2)), 1), E), d(2, d(1, d(F, d(d(G, H), H))))))))), I))))), I))))))))))), E)-[J=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, G))), E=d(2, d(1, F)), M=d(2, d(K, P)), Q=d(3, d(M, R)), S=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, P))))), I))), D=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), J), B=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), N=d(d(2, 1), 1), I=d(J, N), T=d(J, d(d(2, d(1, U)), R)), R=d(K, I), G=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), I)))), T)))), I))), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), T)))), I), F=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(K, d(d(2, d(1, d(2, R))), N))), N), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, F))))), I))), d(d(2, d(1, S)), d(F, d(d(3, d(3, d(1, V))), V))))))), I)), N), V=d(U, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), I))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, T)))), I)))))), I)))))), T)))), I))), N)))))]).
mm_proof('3imtr3g', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, C))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(D, d(d(d(d(2, d(1, 2)), 1), B), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(B, 2)))), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), C), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(E, C))))), G))), d(d(2, d(1, H)), d(C, d(d(3, d(3, d(1, I))), I))))))), G)), J))))))))), G))-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, J))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), N)))), G)))))), M=d(2, d(K, O)), P=d(3, d(M, Q)), H=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), A), J=d(d(2, 1), 1), G=d(E, J), N=d(E, d(d(2, d(1, R)), Q)), Q=d(K, G), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), N)))), G), C=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, Q))), J))), J), I=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), G))), J))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(F, N)))), G)))))), G)))))), N)))), G))), J)))))]).
mm_proof('3imtr4g', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(J, d(d(d(d(2, d(1, 2)), 1), B), d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(B, 2)))), d(d(d(d(2, d(1, 2)), 1), E), C))))))), F))-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), N)))), F)))))), M=d(2, d(K, O)), P=d(3, d(M, Q)), G=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), A), I=d(d(2, 1), 1), F=d(E, I), N=d(E, d(d(2, d(1, R)), Q)), Q=d(K, F), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), N)))), F), C=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, Q))), I))), I), H=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), F))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(D, N)))), F)))))), F)))))), N)))), F))), I)))))]).
mm_proof('3bitri', d(d(2, d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(E, F)))))), G))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, I)), d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), F))))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), N=d(2, d(L, R)), S=d(3, d(N, T)), U=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, R))))), V))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), H=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), E=d(d(d(2, d(1, 2)), 1), W), W=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), V=d(K, O), X=d(K, d(d(2, d(1, Y)), T)), T=d(L, V), Q=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), X)))), V))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), X)))), V), G=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(L, d(d(2, d(1, d(2, T))), O))), O), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, G))))), V))), d(d(2, d(1, U)), d(G, d(d(3, d(3, d(1, Z))), Z))))))), V)), O), I=d(H, d(C, d(D, A1))), A1=d(W, J), F=d(d(2, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, G)))), G)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), I), A1)), Z=d(Y, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), V))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, X)))), V)))))), V)))))), X)))), V))), O)))))]).
mm_proof('3bitrri', d(d(2, d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(F, G)))))), H))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, K))))))), d(F, d(L, G))))-[M=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), P=d(2, d(N, T)), U=d(3, d(P, V)), W=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, T))))), X))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), F=d(d(d(2, d(1, 2)), 1), I), L=d(d(d(2, d(1, 2)), 1), J), I=d(d(d(2, d(1, 2)), 1), Y), J=d(d(d(2, d(1, 2)), 1), K), Q=d(d(2, 1), 1), X=d(M, Q), Z=d(M, d(d(2, d(1, A1)), V)), V=d(N, X), S=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), X)))), Z)))), X))), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), Z)))), X), Y=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(N, d(d(2, d(1, d(2, V))), Q))), Q), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, Y))))), X))), d(d(2, d(1, W)), d(Y, d(d(3, d(3, d(1, B1))), B1))))))), X)), Q), G=d(L, d(d(2, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, Y)))), Y)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, H)))), H))), H=d(I, K), B1=d(A1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), X))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, Z)))), X)))))), X)))))), Z)))), X))), Q)))))]).
mm_proof('3bitr2i', d(d(2, d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, E))))), d(F, G)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(F, d(d(d(d(2, d(1, 2)), 1), I), G))))))), J))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), N=d(2, d(L, R)), S=d(3, d(N, T)), U=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, R))))), V))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), H=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), F=d(d(d(2, d(1, 2)), 1), W), W=d(d(d(2, d(1, 2)), 1), E), I=d(d(d(2, d(1, 2)), 1), X), O=d(d(2, 1), 1), V=d(K, O), Y=d(K, d(d(2, d(1, Z)), T)), T=d(L, V), Q=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), Y)))), V))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Y)))), V), E=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(L, d(d(2, d(1, d(2, T))), O))), O), X=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, E))))), V))), d(d(2, d(1, U)), d(E, d(d(3, d(3, d(1, A1))), A1))))))), V)), O), B1=d(C, d(D, J)), J=d(W, X), G=d(d(2, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), B1)), E)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, B1)), d(W, d(I, X)))), A1=d(Z, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), V))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, Y)))), V)))))), V)))))), Y)))), V))), O)))))]).
mm_proof('3bitr2ri', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, F))))), d(G, H)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(G, d(A, H))))))), J)))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), N=d(2, d(L, R)), S=d(3, d(N, T)), U=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, R))))), V))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), G=d(d(d(2, d(1, 2)), 1), W), A=d(d(d(2, d(1, 2)), 1), X), W=d(d(d(2, d(1, 2)), 1), F), X=d(d(d(2, d(1, 2)), 1), Y), O=d(d(2, 1), 1), V=d(K, O), Z=d(K, d(d(2, d(1, A1)), T)), T=d(L, V), Q=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), Z)))), V))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Z)))), V), F=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(L, d(d(2, d(1, d(2, T))), O))), O), Y=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, F))))), V))), d(d(2, d(1, U)), d(F, d(d(3, d(3, d(1, B1))), B1))))))), V)), O), C1=d(D, d(E, J)), J=d(W, Y), H=d(d(2, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), C1)), F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, C1)), d(W, d(X, Y)))), B1=d(A1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), V))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, Z)))), V)))))), V)))))), Z)))), V))), O)))))]).
mm_proof('3bitr3i', d(d(2, d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), C))), d(D, E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(D, d(d(d(d(2, d(1, 2)), 1), I), E))))))), J))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), N=d(2, d(L, R)), S=d(3, d(N, T)), U=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, R))))), V))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), D=d(d(d(2, d(1, 2)), 1), W), W=d(d(d(2, d(1, 2)), 1), X), I=d(d(d(2, d(1, 2)), 1), Y), O=d(d(2, 1), 1), V=d(K, O), Z=d(K, d(d(2, d(1, A1)), T)), T=d(L, V), Q=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), Z)))), V))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Z)))), V), X=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(L, d(d(2, d(1, d(2, T))), O))), O), Y=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, X))))), V))), d(d(2, d(1, U)), d(X, d(d(3, d(3, d(1, B1))), B1))))))), V)), O), C=d(G, d(H, X)), J=d(W, Y), E=d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, C)), J)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(W, d(I, Y)))))), J)), B1=d(A1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), V))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, Z)))), V)))))), V)))))), Z)))), V))), O)))))]).
mm_proof('3bitr3ri', d(d(2, d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(F, G)))))), H))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), I))), d(F, d(d(d(d(2, d(1, 2)), 1), J), G))))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), N=d(2, d(L, R)), S=d(3, d(N, T)), U=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, R))))), V))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), F=d(d(d(2, d(1, 2)), 1), W), W=d(d(d(2, d(1, 2)), 1), X), J=d(d(d(2, d(1, 2)), 1), Y), O=d(d(2, 1), 1), V=d(K, O), Z=d(K, d(d(2, d(1, A1)), T)), T=d(L, V), Q=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), Z)))), V))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Z)))), V), X=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(L, d(d(2, d(1, d(2, T))), O))), O), Y=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, X))))), V))), d(d(2, d(1, U)), d(X, d(d(3, d(3, d(1, B1))), B1))))))), V)), O), I=d(D, d(E, d(W, d(J, Y)))), H=d(W, Y), G=d(d(2, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, X)))), H)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, I)), H)), B1=d(A1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), V))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, Z)))), V)))))), V)))))), Z)))), V))), O)))))]).
mm_proof('3bitr4i', d(d(2, d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(F, G)))))), H))))), d(d(d(d(2, d(1, 2)), 1), I), d(F, d(d(d(d(2, d(1, 2)), 1), J), G))))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), N=d(2, d(L, R)), S=d(3, d(N, T)), U=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, R))))), V))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), F=d(d(d(2, d(1, 2)), 1), W), W=d(d(d(2, d(1, 2)), 1), H), J=d(d(d(2, d(1, 2)), 1), X), I=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, Y)), O=d(d(2, 1), 1), V=d(K, O), Z=d(K, d(d(2, d(1, A1)), T)), T=d(L, V), Q=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), Z)))), V))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Z)))), V), H=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(L, d(d(2, d(1, d(2, T))), O))), O), X=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, H))))), V))), d(d(2, d(1, U)), d(H, d(d(3, d(3, d(1, B1))), B1))))))), V)), O), Y=d(D, d(E, d(W, X))), G=d(d(2, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), Y)), H)))), d(I, d(W, d(J, X)))), B1=d(A1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), V))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, Z)))), V)))))), V)))))), Z)))), V))), O)))))]).
mm_proof('3bitr4ri', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(G, H)))))), I))))), d(d(d(d(2, d(1, 2)), 1), J), d(G, d(A, H)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), N=d(2, d(L, R)), S=d(3, d(N, T)), U=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, R))))), V))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), G=d(d(d(2, d(1, 2)), 1), W), A=d(d(d(2, d(1, 2)), 1), X), W=d(d(d(2, d(1, 2)), 1), I), X=d(d(d(2, d(1, 2)), 1), Y), J=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, Z)), O=d(d(2, 1), 1), V=d(K, O), A1=d(K, d(d(2, d(1, B1)), T)), T=d(L, V), Q=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), A1)))), V))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), A1)))), V), I=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(L, d(d(2, d(1, d(2, T))), O))), O), Y=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, I))))), V))), d(d(2, d(1, U)), d(I, d(d(3, d(3, d(1, C1))), C1))))))), V)), O), Z=d(E, d(F, d(W, Y))), H=d(d(2, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), Z)), I)))), d(J, d(W, d(X, Y)))), C1=d(B1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), V))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, A1)))), V)))))), V)))))), A1)))), V))), O)))))]).
mm_proof('3bitrd', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(E, F)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), I), d(E, d(d(d(d(2, d(1, 2)), 1), J), F))))))), K)))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), d(1, V)))), P=d(2, d(N, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, W))))), U))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), E=d(d(d(2, d(1, 2)), 1), A1), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(B1, d(C1, D1)))), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, E1)))), A1=d(d(d(2, d(1, 2)), 1), B1), J=d(d(d(2, d(1, 2)), 1), C1), Q=d(d(2, 1), 1), F1=d(L, 1), U=d(L, Q), G1=d(L, d(d(2, d(1, H1)), Y)), Y=d(N, U), S=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), G1)))), U))), V=d(d(2, d(1, d(2, Q))), U), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), G1)))), U), B1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, Z)), d(B1, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(N, d(d(2, d(1, d(2, Y))), Q))), Q), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, B1))))), U))), I1)))), U)), Q), F=d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K1)), d(A, d(d(2, d(B, d(C, d(D, E1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, K)))), K)))), K=d(A1, d(J, K1)), E1=d(A1, K1), K1=d(B1, D1), J1=d(H1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, G1)))), U)))))), U)))))), G1)))), U))), Q))))), D1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, I1)))))))), U))), d(M, d(2, d(1, B1))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), F1)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), U)))))]).
mm_proof('3bitrrd', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(G, H)))))), d(I, J)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(I, d(K, J))))))), d(G, d(d(d(d(2, d(1, 2)), 1), K), H)))))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(U, d(d(S, V), V)))), W=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, X))))), d(1, Y)))), P=d(2, d(N, Z)), A1=d(3, d(P, B1)), C1=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Z))))), X))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), G=d(d(d(2, d(1, 2)), 1), I), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(U, d(V, D1)))), I=d(d(d(2, d(1, 2)), 1), U), K=d(d(d(2, d(1, 2)), 1), V), E1=d(d(d(2, d(1, 2)), 1), F1), Q=d(d(2, 1), 1), G1=d(L, 1), X=d(L, Q), H1=d(L, d(d(2, d(1, I1)), B1)), B1=d(N, X), S=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), H1)))), X))), Y=d(d(2, d(1, d(2, Q))), X), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), H1)))), X), U=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, C1)), d(U, d(d(3, d(3, d(1, K1))), K1))), I1=d(d(2, d(N, d(d(2, d(1, d(2, B1))), Q))), Q), V=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, U))))), X))), J1)))), X)), Q), H=d(d(d(d(2, d(1, 2)), 1), E1), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), T)), d(A, d(d(2, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, L1)))), L1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, M1)))), M1))))), M1=d(I, d(K, F1)), L1=d(I, F1), J=d(E1, T), F1=d(U, D1), K1=d(I1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), X))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, H1)))), X)))))), X)))))), H1)))), X))), Q))))), D1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, J1)))))))), X))), d(M, d(2, d(1, U))))))), X)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(W, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), G1)))), X)))))), d(W, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), X)))))]).
mm_proof('3bitr2d', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, F))))), d(G, H)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(G, d(d(d(d(2, d(1, 2)), 1), J), H))))))), K)))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), d(1, V)))), P=d(2, d(N, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, W))))), U))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), G=d(d(d(2, d(1, 2)), 1), A1), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(B1, d(C1, D1)))), A1=d(d(d(2, d(1, 2)), 1), B1), J=d(d(d(2, d(1, 2)), 1), C1), E1=d(d(d(2, d(1, 2)), 1), F1), Q=d(d(2, 1), 1), G1=d(L, 1), U=d(L, Q), H1=d(L, d(d(2, d(1, I1)), Y)), Y=d(N, U), S=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), H1)))), U))), V=d(d(2, d(1, d(2, Q))), U), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), H1)))), U), B1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, Z)), d(B1, d(d(3, d(3, d(1, K1))), K1))), I1=d(d(2, d(N, d(d(2, d(1, d(2, Y))), Q))), Q), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, B1))))), U))), J1)))), U)), Q), H=d(d(d(d(2, d(1, 2)), 1), E1), d(A, d(d(2, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(A1, L1))))), F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(D, d(E, K)))), d(A1, d(J, L1)))))), K=d(A1, d(J, F1)), F=d(A1, F1), L1=d(E1, d(2, d(1, d(B1, d(d(S, C1), C1))))), F1=d(B1, D1), K1=d(I1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, H1)))), U)))))), U)))))), H1)))), U))), Q))))), D1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, J1)))))))), U))), d(M, d(2, d(1, B1))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), G1)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), U)))))]).
mm_proof('3bitr2rd', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A))), d(d(d(d(2, d(1, 2)), 1), B), d(d(2, d(C, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, G))))), d(H, I)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(H, d(d(d(d(2, d(1, 2)), 1), K), I))))))), L))))-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, R))))), S=d(2, d(1, d(2, T))), A=d(2, d(1, d(U, d(d(T, V), V)))), W=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, X))))), d(1, Y)))), Q=d(2, d(O, Z)), A1=d(3, d(Q, B1)), C1=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, Z))))), X))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), C=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), T)), H=d(d(d(2, d(1, 2)), 1), D1), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(U, d(V, E1)))), D1=d(d(d(2, d(1, 2)), 1), U), K=d(d(d(2, d(1, 2)), 1), V), F1=d(d(d(2, d(1, 2)), 1), G1), R=d(d(2, 1), 1), H1=d(M, 1), X=d(M, R), I1=d(M, d(d(2, d(1, J1)), B1)), B1=d(O, X), T=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), I1)))), X))), Y=d(d(2, d(1, d(2, R))), X), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, R)))), I1)))), X), U=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, C1)), d(U, d(d(3, d(3, d(1, L1))), L1))), J1=d(d(2, d(O, d(d(2, d(1, d(2, B1))), R))), R), V=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(M, U))))), X))), K1)))), X)), R), I=d(d(d(d(2, d(1, 2)), 1), F1), d(B, d(d(2, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(D1, M1))))), G)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(E, d(F, L)))), d(D1, d(K, M1)))))), L=d(D1, d(K, G1)), G=d(D1, G1), M1=d(F1, A), G1=d(U, E1), L1=d(J1, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), X))), R))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(S, I1)))), X)))))), X)))))), I1)))), X))), R))))), E1=d(d(T, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(M, d(N, d(2, d(1, K1)))))))), X))), d(N, d(2, d(1, U))))))), X)), R)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, T)))), d(W, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), H1)))), X)))))), d(W, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), H1)))), X)))))]).
mm_proof('3bitr3d', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), D))), d(E, F)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), I), d(E, d(d(d(d(2, d(1, 2)), 1), J), F))))))), K)))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), d(1, V)))), P=d(2, d(N, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, W))))), U))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), E=d(d(d(2, d(1, 2)), 1), A1), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(B1, d(C1, D1)))), A1=d(d(d(2, d(1, 2)), 1), B1), J=d(d(d(2, d(1, 2)), 1), C1), E1=d(d(d(2, d(1, 2)), 1), F1), Q=d(d(2, 1), 1), G1=d(L, 1), U=d(L, Q), H1=d(L, d(d(2, d(1, I1)), Y)), Y=d(N, U), S=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), H1)))), U))), V=d(d(2, d(1, d(2, Q))), U), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), H1)))), U), B1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, Z)), d(B1, d(d(3, d(3, d(1, K1))), K1))), I1=d(d(2, d(N, d(d(2, d(1, d(2, Y))), Q))), Q), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, B1))))), U))), J1)))), U)), Q), D=d(H, d(I, d(A1, F1))), F=d(d(d(d(2, d(1, 2)), 1), E1), d(A, d(d(2, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, D)), d(A1, L1))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(A1, d(J, L1)))))), K)))), K=d(A1, d(J, F1)), L1=d(E1, d(2, d(1, d(B1, d(d(S, C1), C1))))), F1=d(B1, D1), K1=d(I1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, H1)))), U)))))), U)))))), H1)))), U))), Q))))), D1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, J1)))))))), U))), d(M, d(2, d(1, B1))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), G1)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), U)))))]).
mm_proof('3bitr3rd', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(G, H)))))), I))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), J))), d(G, d(d(d(d(2, d(1, 2)), 1), K), H)))))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), d(1, V)))), P=d(2, d(N, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, W))))), U))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), G=d(d(d(2, d(1, 2)), 1), A1), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(B1, d(C1, D1)))), A1=d(d(d(2, d(1, 2)), 1), B1), K=d(d(d(2, d(1, 2)), 1), C1), E1=d(d(d(2, d(1, 2)), 1), F1), Q=d(d(2, 1), 1), G1=d(L, 1), U=d(L, Q), H1=d(L, d(d(2, d(1, I1)), Y)), Y=d(N, U), S=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), H1)))), U))), V=d(d(2, d(1, d(2, Q))), U), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), H1)))), U), B1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, Z)), d(B1, d(d(3, d(3, d(1, K1))), K1))), I1=d(d(2, d(N, d(d(2, d(1, d(2, Y))), Q))), Q), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, B1))))), U))), J1)))), U)), Q), J=d(E, d(F, d(A1, d(K, L1)))), H=d(d(d(d(2, d(1, 2)), 1), E1), d(A, d(d(2, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(A1, F1))))), I)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, J)), d(A1, d(K, F1)))))), I=d(A1, L1), L1=d(E1, d(2, d(1, d(B1, d(d(S, C1), C1))))), F1=d(B1, D1), K1=d(I1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, H1)))), U)))))), U)))))), H1)))), U))), Q))))), D1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, J1)))))))), U))), d(M, d(2, d(1, B1))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), G1)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), U)))))]).
mm_proof('3bitr4d', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(G, H)))))), I))))), d(d(d(d(2, d(1, 2)), 1), J), d(G, d(d(d(d(2, d(1, 2)), 1), K), H)))))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), d(1, V)))), P=d(2, d(N, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, W))))), U))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), G=d(d(d(2, d(1, 2)), 1), A1), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(B1, d(C1, D1)))), A1=d(d(d(2, d(1, 2)), 1), B1), K=d(d(d(2, d(1, 2)), 1), C1), E1=d(d(d(2, d(1, 2)), 1), F1), J=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(A1, d(K, F1)))))), Q=d(d(2, 1), 1), G1=d(L, 1), U=d(L, Q), H1=d(L, d(d(2, d(1, I1)), Y)), Y=d(N, U), S=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), H1)))), U))), V=d(d(2, d(1, d(2, Q))), U), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), H1)))), U), B1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, Z)), d(B1, d(d(3, d(3, d(1, K1))), K1))), I1=d(d(2, d(N, d(d(2, d(1, d(2, Y))), Q))), Q), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, B1))))), U))), J1)))), U)), Q), H=d(d(d(d(2, d(1, 2)), 1), E1), d(A, d(d(2, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(A1, L1))))), I)))), d(J, d(A1, d(K, L1)))))), I=d(A1, F1), L1=d(E1, d(2, d(1, d(B1, d(d(S, C1), C1))))), F1=d(B1, D1), K1=d(I1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, H1)))), U)))))), U)))))), H1)))), U))), Q))))), D1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, J1)))))))), U))), d(M, d(2, d(1, B1))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), G1)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), U)))))]).
mm_proof('3bitr4rd', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(E, F)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), I), d(E, d(d(d(d(2, d(1, 2)), 1), J), F))))))), K)))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), d(1, V)))), P=d(2, d(N, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, W))))), U))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), E=d(d(d(2, d(1, 2)), 1), A1), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(B1, d(C1, D1)))), A1=d(d(d(2, d(1, 2)), 1), B1), J=d(d(d(2, d(1, 2)), 1), C1), E1=d(d(d(2, d(1, 2)), 1), F1), D=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, d(A1, G1))))), Q=d(d(2, 1), 1), H1=d(L, 1), U=d(L, Q), I1=d(L, d(d(2, d(1, J1)), Y)), Y=d(N, U), S=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), I1)))), U))), V=d(d(2, d(1, d(2, Q))), U), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I1)))), U), B1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, Z)), d(B1, d(d(3, d(3, d(1, L1))), L1))), J1=d(d(2, d(N, d(d(2, d(1, d(2, Y))), Q))), Q), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, B1))))), U))), K1)))), U)), Q), F=d(d(d(d(2, d(1, 2)), 1), E1), d(A, d(d(2, d(B, d(C, d(D, d(A1, F1))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(A1, d(J, F1)))))), K)))), K=d(A1, d(J, G1)), G1=d(E1, d(2, d(1, d(B1, d(d(S, C1), C1))))), F1=d(B1, D1), L1=d(J1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, I1)))), U)))))), U)))))), I1)))), U))), Q))))), D1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, K1)))))))), U))), d(M, d(2, d(1, B1))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), H1)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), H1)))), U)))))]).
mm_proof('3bitr3g', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, G)))))), d(H, I)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(H, d(d(d(d(2, d(1, 2)), 1), K), I))))))), d(F, d(K, G)))))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), d(1, V)))), P=d(2, d(N, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, W))))), U))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), H=d(d(d(2, d(1, 2)), 1), F), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A1, d(B1, C1)))), F=d(d(d(2, d(1, 2)), 1), A1), K=d(d(d(2, d(1, 2)), 1), B1), D1=d(d(d(2, d(1, 2)), 1), E1), Q=d(d(2, 1), 1), F1=d(L, 1), U=d(L, Q), G1=d(L, d(d(2, d(1, H1)), Y)), Y=d(N, U), S=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), G1)))), U))), V=d(d(2, d(1, d(2, Q))), U), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), G1)))), U), A1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, Z)), d(A1, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(N, d(d(2, d(1, d(2, Y))), Q))), Q), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, A1))))), U))), I1)))), U)), Q), I=d(d(d(d(2, d(1, 2)), 1), D1), d(A, d(d(2, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(D, d(E, d(F, E1))))), d(F, K1))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(K, K1)))))), d(F, d(K, E1)))))), G=d(D1, 1), K1=d(D1, d(E, B1)), E1=d(A1, C1), J1=d(H1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, G1)))), U)))))), U)))))), G1)))), U))), Q))))), C1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, I1)))))))), U))), d(M, d(2, d(1, A1))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), F1)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), U)))))]).
mm_proof('3bitr4g', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, G)))))), d(H, I)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(H, d(d(d(d(2, d(1, 2)), 1), K), I))))))), d(F, d(K, G)))))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), d(1, V)))), P=d(2, d(N, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, W))))), U))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), H=d(d(d(2, d(1, 2)), 1), F), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A1, d(B1, C1)))), F=d(d(d(2, d(1, 2)), 1), A1), K=d(d(d(2, d(1, 2)), 1), B1), D1=d(d(d(2, d(1, 2)), 1), E1), Q=d(d(2, 1), 1), F1=d(L, 1), U=d(L, Q), G1=d(L, d(d(2, d(1, H1)), Y)), Y=d(N, U), S=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), G1)))), U))), V=d(d(2, d(1, d(2, Q))), U), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), G1)))), U), A1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, Z)), d(A1, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(N, d(d(2, d(1, d(2, Y))), Q))), Q), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, A1))))), U))), I1)))), U)), Q), I=d(d(d(d(2, d(1, 2)), 1), D1), d(A, d(d(2, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(D, d(E, d(F, E1))))), d(F, K1))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(K, K1)))))), d(F, d(K, E1)))))), K1=d(D1, 1), G=d(D1, d(E, B1)), E1=d(A1, C1), J1=d(H1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, G1)))), U)))))), U)))))), G1)))), U))), Q))))), C1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, I1)))))))), U))), d(M, d(2, d(1, A1))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), F1)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), U)))))]).
mm_proof(notnotb, d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, C)))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), G)))), E))), C), H)-[I=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, D)), F=d(d(2, 1), 1), E=d(I, F), G=d(I, H), J=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), G)))), E), H=d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, J))), F))), F))), J), C=d(A, F)]).
mm_proof(con34b, d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, E)))), G)))), E))), d(B, d(C, d(d(2, d(1, d(2, d(F, G)))), E)))), 3)-[H=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, I))))), F=d(2, d(1, d(2, I))), A=d(2, d(B, D)), I=d(d(2, 1), 1), E=d(H, I), G=d(H, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, J))), I))), I))), J)), J=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), G)))), E)]).
mm_proof(con4bid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(E, F))))))), G)))), d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), F), d(2, d(1, d(H, d(d(I, J), J))))))))), G))))), G))))))), G))), K)-[D=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, K))))), C=d(2, d(1, d(2, I))), F=d(2, d(1, H)), N=d(2, d(L, O)), P=d(3, d(N, Q)), R=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, O))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), L), K=d(d(2, 1), 1), G=d(D, K), S=d(D, d(d(2, d(1, T)), Q)), Q=d(L, G), I=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G)))), S)))), G))), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), S)))), G), H=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(L, d(d(2, d(1, d(2, Q))), K))), K), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, H))))), G))), d(d(2, d(1, R)), d(H, d(d(3, d(3, d(1, U))), U))))))), G)), K), U=d(T, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), G))), K))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(C, S)))), G)))))), G)))))), S)))), G))), K)))))]).
mm_proof(notbid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(E, d(F, G)))))))), H)))), d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(I, d(d(J, K), K))))), G)))))), H))))), H))))))), H))), L)-[D=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, P)))), C=d(2, d(1, d(2, J))), Q=d(2, d(1, I)), R=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, H))))), d(1, S)))), T=d(2, d(N, U)), V=d(3, d(T, W)), X=d(3, d(T, d(d(2, d(1, d(2, d(N, d(O, U))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), Q), Y=d(d(d(2, d(1, 2)), 1), J), Z=d(d(d(2, d(1, 2)), 1), I), A1=d(d(d(2, d(1, 2)), 1), K), B1=d(d(d(2, d(1, 2)), 1), d(I, d(K, C1))), L=d(d(2, 1), 1), D1=d(D, 1), H=d(D, L), E1=d(D, F1), W=d(N, H), J=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), E1)))), H))), S=d(d(2, d(1, d(2, L))), H), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), E1)))), H), I=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(1, X)), d(I, d(d(3, d(3, d(1, H1))), H1))), F1=d(d(2, d(1, I1)), W), I1=d(d(2, d(N, d(d(2, d(1, d(2, W))), L))), L), P=d(T, L), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, I))))), H))), G1)))), H)), L), G=d(B1, d(d(2, d(Y, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(I, J1)))), d(Z, K1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(Z, d(A1, K1))))), d(I, d(K, J1))))), K1=d(d(d(d(2, d(1, 2)), 1), L1), d(B1, d(d(2, d(Y, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(Z, L1)))), d(I, M1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(I, d(K, M1))))), d(Z, d(A1, L1)))))), L1=d(I, C1), H1=d(I1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), H))), L))), d(3, d(T, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(C, E1)))), H)))))), H)))))), E1)))), H))), L))))), N1=d(d(J, P), F1), C1=d(d(J, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(M, d(2, d(1, G1)))))))), H))), d(M, Q))))), H)), L)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, J)))), d(R, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), D1)))), H)))))), d(R, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), D1)))), H))))), M1=d(L1, d(1, d(K, N1))), J1=d(L1, d(1, N1))]).
mm_proof(notbi, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(D, d(E, F))))))), G))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(H, F))))), G)))), G)))))), G)), I)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(D, d(E, I))))))), G))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(H, I))))), G)))), G)))))), G)), I))-[C=d(2, d(1, 1)), J=d(2, d(1, 2)), D=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), B=d(2, d(1, d(2, A))), E=d(2, d(1, M)), H=d(2, d(1, d(M, d(d(A, N), N)))), O=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, G))))), d(1, P)))), Q=d(2, d(D, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(D, d(K, R))))), G))), I=d(d(2, 1), 1), V=d(C, 1), G=d(C, I), W=d(C, X), T=d(D, G), A=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), G))), P=d(d(2, d(1, d(2, I))), G), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), W)))), G), M=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(1, U)), d(M, d(d(3, d(3, d(1, Z))), Z))), X=d(d(2, d(1, A1)), T), A1=d(d(2, d(D, d(d(2, d(1, d(2, T))), I))), I), L=d(Q, I), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, M))))), G))), Y)))), G)), I), B1=d(M, d(N, C1)), D1=d(M, C1), Z=d(A1, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), G))), I))), d(3, d(Q, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(D, d(K, d(d(2, d(1, d(2, d(B, W)))), G)))))), G)))))), W)))), G))), I))))), E1=d(d(A, L), X), C1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(J, d(2, d(1, Y)))))))), G))), d(J, E))))), G)), I)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, A)))), d(O, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), V)))), G)))))), d(O, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), G))))), F=d(B1, d(d(A, d(d(2, d(1, d(M, F1))), d(M, G1))), d(d(2, d(1, d(M, d(N, G1)))), d(M, d(N, F1))))), H1=d(D1, d(1, d(N, E1))), F1=d(D1, d(1, E1)), I1=d(D1, I), G1=d(D1, d(B1, d(d(A, d(d(2, d(1, d(M, I1))), d(M, H1))), d(d(2, d(1, d(M, d(N, H1)))), d(M, d(N, I1))))))]).
mm_proof(notbii, d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(F, G))))))), H))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(I, G))))), H)))), H)))))), H)), J)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(F, J))))))), H))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(I, J))))), H)))), H)))))), H)), J)))-[D=d(2, d(1, 1)), K=d(2, d(1, 2)), E=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, M)))), C=d(2, d(1, d(2, B))), F=d(2, d(1, A)), I=d(2, d(1, d(A, d(d(B, N), N)))), O=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, H))))), d(1, P)))), Q=d(2, d(E, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(E, d(L, R))))), H))), J=d(d(2, 1), 1), V=d(D, 1), H=d(D, J), W=d(D, X), T=d(E, H), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), H))), P=d(d(2, d(1, d(2, J))), H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), W)))), H), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, Z))), Z))), X=d(d(2, d(1, A1)), T), A1=d(d(2, d(E, d(d(2, d(1, d(2, T))), J))), J), M=d(Q, J), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, A))))), H))), Y)))), H)), J), B1=d(A, d(N, C1)), D1=d(A, C1), Z=d(A1, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), H))), J))), d(3, d(Q, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(E, d(L, d(d(2, d(1, d(2, d(C, W)))), H)))))), H)))))), W)))), H))), J))))), E1=d(d(B, M), X), C1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(K, d(2, d(1, Y)))))))), H))), d(K, F))))), H)), J)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, B)))), d(O, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), V)))), H)))))), d(O, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), H))))), G=d(B1, d(d(B, d(d(2, d(1, d(A, F1))), d(A, G1))), d(d(2, d(1, d(A, d(N, G1)))), d(A, d(N, F1))))), H1=d(D1, d(1, d(N, E1))), F1=d(D1, d(1, E1)), I1=d(D1, J), G1=d(D1, d(B1, d(d(B, d(d(2, d(1, d(A, I1))), d(A, H1))), d(d(2, d(1, d(A, d(N, H1)))), d(A, d(N, I1))))))]).
mm_proof(con4bii, d(A, d(B, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(F, d(G, H))))))), I))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, d(J, H))))), I)))), I)))))), I)), K)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(F, d(G, K))))))), I))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, d(J, K))))), I)))), I)))))), I)), K))))-[E=d(2, d(1, 1)), L=d(2, d(1, 2)), F=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, N)))), D=d(2, d(1, d(2, C))), G=d(2, d(1, A)), J=d(2, d(1, d(A, d(d(C, B), B)))), O=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, I))))), d(1, P)))), Q=d(2, d(F, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(F, d(M, R))))), I))), K=d(d(2, 1), 1), V=d(E, 1), I=d(E, K), W=d(E, X), T=d(F, I), C=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), I))), P=d(d(2, d(1, d(2, K))), I), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), W)))), I), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, Z))), Z))), X=d(d(2, d(1, A1)), T), A1=d(d(2, d(F, d(d(2, d(1, d(2, T))), K))), K), N=d(Q, K), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, A))))), I))), Y)))), I)), K), B1=d(A, d(B, C1)), D1=d(A, C1), Z=d(A1, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), I))), K))), d(3, d(Q, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(F, d(M, d(d(2, d(1, d(2, d(D, W)))), I)))))), I)))))), W)))), I))), K))))), E1=d(d(C, N), X), C1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(L, d(2, d(1, Y)))))))), I))), d(L, G))))), I)), K)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, C)))), d(O, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), V)))), I)))))), d(O, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), I))))), H=d(B1, d(d(C, d(d(2, d(1, d(A, F1))), d(A, G1))), d(d(2, d(1, d(A, d(B, G1)))), d(A, d(B, F1))))), H1=d(D1, d(1, d(B, E1))), F1=d(D1, d(1, E1)), I1=d(D1, K), G1=d(D1, d(B1, d(d(C, d(d(2, d(1, d(A, I1))), d(A, H1))), d(d(2, d(1, d(A, d(B, H1)))), d(A, d(B, I1))))))]).
mm_proof(mtbi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, 1))))), E))))), F)))), G))))), d(d(d(d(2, d(1, 2)), 1), 3), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(H, d(d(d(d(2, d(1, 2)), 1), I), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), F))), d(d(2, d(1, L)), d(I, d(d(3, d(3, d(1, M))), M))))))), F)), G)))))))), E))))), F)))), G)))))-[K=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, G))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), E)))), F)))))), P=d(2, d(N, Q)), R=d(3, d(P, S)), L=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), F))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), N), H=d(d(d(2, d(1, 2)), 1), P), G=d(d(2, 1), 1), F=d(K, G), E=d(K, d(d(2, d(1, A)), S)), S=d(N, F), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), E)))), F), I=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(N, d(d(2, d(1, d(2, S))), G))), G), M=d(A, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), F))), G))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(J, E)))), F)))))), F)))))), E)))), F))), G)))))]).
mm_proof(mtbir, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, 1))))), E))))), F)))), G))))), d(d(d(d(2, d(1, 2)), 1), 3), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(H, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), J)))))))), E))))), F)))), G)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, G))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), E)))), F)))))), N=d(2, d(L, Q)), R=d(3, d(N, S)), P=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, Q))))), F))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), L), H=d(d(d(2, d(1, 2)), 1), N), G=d(d(2, 1), 1), F=d(K, G), E=d(K, d(d(2, d(1, A)), S)), S=d(L, F), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), E)))), F), I=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(L, d(d(2, d(1, d(2, S))), G))), G), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, I))))), F))), d(d(2, d(1, P)), d(I, d(d(3, d(3, d(1, T))), T))))))), F)), G), T=d(A, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), F))), G))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(O, E)))), F)))))), F)))))), E)))), F))), G)))))]).
mm_proof(mtbid, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, J))), d(2, d(1, d(J, d(d(K, L), L))))))))), M))))), M))))), N))))), M)))))))), O)))))), d(P, d(H, Q)))))))), R)-[Q=d(1, R), O=d(2, d(1, 1)), P=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(S, R))))), D=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, K))), S=d(2, d(P, V)), W=d(3, d(S, T)), X=d(3, d(S, d(d(2, d(1, d(2, d(P, d(H, V))))), M))), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), O), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), P), B=d(d(d(2, d(1, 2)), 1), G), R=d(d(2, 1), 1), M=d(O, R), N=d(O, d(d(2, d(1, Y)), T)), T=d(P, M), K=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), M)))), N)))), M))), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), N)))), M), J=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(P, d(D, R))), R), L=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(O, J))))), M))), d(d(2, d(1, X)), d(J, d(d(3, d(3, d(1, Z))), Z))))))), M)), R), Z=d(Y, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), R))), d(3, d(S, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(U, N)))), M)))))), M)))))), N)))), M))), R)))))]).
mm_proof(mtbird, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(2, d(1, d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K))))), L)))))))), M)))))), d(N, d(H, O)))))))), P)-[O=d(1, P), M=d(2, d(1, 1)), N=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(Q, P))))), D=d(2, d(1, d(2, R))), Q=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), K)))), L))), J=d(3, d(Q, R)), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), M), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), N), B=d(d(d(2, d(1, 2)), 1), G), P=d(d(2, 1), 1), L=d(M, P), K=d(M, d(d(2, d(1, d(d(2, d(N, d(D, P))), P))), R)), R=d(N, L)]).
mm_proof(mtbii, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, J))), d(2, d(1, d(J, d(d(K, L), L))))))))), M))))), M))))), N))))), M)))))))), d(F, 1))))))), d(O, d(H, P)))))))), Q)-[P=d(1, Q), R=d(2, d(1, 1)), O=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(S, Q))))), D=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, K))), S=d(2, d(O, V)), W=d(3, d(S, T)), X=d(3, d(S, d(d(2, d(1, d(2, d(O, d(H, V))))), M))), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), R), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), O), B=d(d(d(2, d(1, 2)), 1), G), Q=d(d(2, 1), 1), M=d(R, Q), N=d(R, d(d(2, d(1, Y)), T)), T=d(O, M), K=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), M)))), N)))), M))), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), N)))), M), J=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(O, d(D, Q))), Q), L=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(R, J))))), M))), d(d(2, d(1, X)), d(J, d(d(3, d(3, d(1, Z))), Z))))))), M)), Q), Z=d(Y, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), Q))), d(3, d(S, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(O, d(H, d(d(2, d(1, d(2, d(U, N)))), M)))))), M)))))), N)))), M))), Q)))))]).
mm_proof(mtbiri, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(2, d(1, d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K))))), L)))))))), d(F, 1))))))), d(M, d(H, N)))))))), O)-[N=d(1, O), P=d(2, d(1, 1)), M=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(Q, O))))), D=d(2, d(1, d(2, R))), Q=d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), L))), J=d(3, d(Q, R)), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), L=d(P, O), K=d(P, d(d(2, d(1, d(d(2, d(M, d(D, O))), O))), R)), R=d(M, L)]).
mm_proof(sylnib, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, 1)))), G))))), H))))), d(d(d(d(2, d(1, 2)), 1), I), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), H))), d(d(2, d(1, L)), d(I, d(d(3, d(3, d(1, M))), M))))))), H)), N))))))))), G)))))), H))))), N)-[K=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, N))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), G)))), H)))))), Q=d(2, d(O, R)), S=d(3, d(Q, T)), L=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, R))))), H))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), F), B=d(d(d(2, d(1, 2)), 1), E), N=d(d(2, 1), 1), H=d(K, N), G=d(K, d(d(2, d(1, U)), T)), T=d(O, H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), G)))), H), I=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(O, d(d(2, d(1, d(2, T))), N))), N), M=d(U, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), H))), N))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(J, G)))), H)))))), H)))))), G)))), H))), N)))))]).
mm_proof(sylnibr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, 1)))), G))))), H))))), d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), J))))))))), G)))))), H))))), K)-[L=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, K))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), G)))), H)))))), O=d(2, d(M, R)), S=d(3, d(O, T)), Q=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, R))))), H))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), M), D=d(d(d(2, d(1, 2)), 1), F), B=d(d(d(2, d(1, 2)), 1), E), K=d(d(2, 1), 1), H=d(L, K), G=d(L, d(d(2, d(1, U)), T)), T=d(M, H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), G)))), H), I=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(M, d(d(2, d(1, d(2, T))), K))), K), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(L, I))))), H))), d(d(2, d(1, Q)), d(I, d(d(3, d(3, d(1, V))), V))))))), H)), K), V=d(U, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), H))), K))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(P, G)))), H)))))), H)))))), G)))), H))), K)))))]).
mm_proof(sylnbi, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1))), d(d(d(d(2, d(1, 2)), 1), A), d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(F, G))))))), H))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(I, G))))), H)))), H)))))), H)), J)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(F, J))))))), H))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(I, J))))), H)))), H)))))), H)), J)))))-[D=d(2, d(1, 1)), K=d(2, d(1, 2)), E=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, M)))), C=d(2, d(1, d(2, B))), F=d(2, d(1, A)), I=d(2, d(1, d(A, d(d(B, N), N)))), O=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, H))))), d(1, P)))), Q=d(2, d(E, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(E, d(L, R))))), H))), J=d(d(2, 1), 1), V=d(D, 1), H=d(D, J), W=d(D, X), T=d(E, H), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), H))), P=d(d(2, d(1, d(2, J))), H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), W)))), H), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, Z))), Z))), X=d(d(2, d(1, A1)), T), A1=d(d(2, d(E, d(d(2, d(1, d(2, T))), J))), J), M=d(Q, J), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, A))))), H))), Y)))), H)), J), B1=d(A, d(N, C1)), D1=d(A, C1), Z=d(A1, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), H))), J))), d(3, d(Q, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(E, d(L, d(d(2, d(1, d(2, d(C, W)))), H)))))), H)))))), W)))), H))), J))))), E1=d(d(B, M), X), C1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(K, d(2, d(1, Y)))))))), H))), d(K, F))))), H)), J)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, B)))), d(O, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), V)))), H)))))), d(O, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), H))))), G=d(B1, d(d(B, d(d(2, d(1, d(A, F1))), d(A, G1))), d(d(2, d(1, d(A, d(N, G1)))), d(A, d(N, F1))))), H1=d(D1, d(1, d(N, E1))), F1=d(D1, d(1, E1)), I1=d(D1, J), G1=d(D1, d(B1, d(d(B, d(d(2, d(1, d(A, I1))), d(A, H1))), d(d(2, d(1, d(A, d(N, H1)))), d(A, d(N, I1))))))]).
mm_proof(sylnbir, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(F, G))))))), H))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(I, G))))), H)))), H)))))), H)), J)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(F, J))))))), H))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(I, J))))), H)))), H)))))), H)), J)))), K)))-[D=d(2, d(1, 1)), L=d(2, d(1, 2)), E=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, N)))), C=d(2, d(1, d(2, B))), F=d(2, d(1, A)), I=d(2, d(1, d(A, d(d(B, K), K)))), O=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, H))))), d(1, P)))), Q=d(2, d(E, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(E, d(M, R))))), H))), J=d(d(2, 1), 1), V=d(D, 1), H=d(D, J), W=d(D, X), T=d(E, H), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), H))), P=d(d(2, d(1, d(2, J))), H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), W)))), H), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, Z))), Z))), X=d(d(2, d(1, A1)), T), A1=d(d(2, d(E, d(d(2, d(1, d(2, T))), J))), J), N=d(Q, J), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, A))))), H))), Y)))), H)), J), B1=d(A, d(K, C1)), D1=d(A, C1), Z=d(A1, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), H))), J))), d(3, d(Q, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(E, d(M, d(d(2, d(1, d(2, d(C, W)))), H)))))), H)))))), W)))), H))), J))))), E1=d(d(B, N), X), C1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(L, d(2, d(1, Y)))))))), H))), d(L, F))))), H)), J)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, B)))), d(O, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), V)))), H)))))), d(O, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), H))))), G=d(B1, d(d(B, d(d(2, d(1, d(A, F1))), d(A, G1))), d(d(2, d(1, d(A, d(K, G1)))), d(A, d(K, F1))))), H1=d(D1, d(1, d(K, E1))), F1=d(D1, d(1, E1)), I1=d(D1, J), G1=d(D1, d(B1, d(d(B, d(d(2, d(1, d(A, I1))), d(A, H1))), d(d(2, d(1, d(A, d(K, H1)))), d(A, d(K, I1))))))]).
mm_proof(xchnxbi, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, D)))), d(E, F))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(E, d(G, F)))))), d(E, H)))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, A))), O=d(2, d(1, D)), P=d(2, d(1, d(D, d(d(A, H), H)))), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), T=d(2, d(K, U)), V=d(3, d(T, W)), X=d(3, d(T, d(d(2, d(1, d(2, d(K, d(L, U))))), R))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), D), G=d(d(d(2, d(1, 2)), 1), H), Y=d(d(2, 1), 1), Z=d(I, 1), R=d(I, Y), A1=d(I, B1), W=d(K, R), A=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), R))), S=d(d(2, d(1, d(2, Y))), R), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), A1)))), R), D=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, X)), d(D, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), W), E1=d(d(2, d(K, d(d(2, d(1, d(2, W))), Y))), Y), M=d(T, Y), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, D))))), R))), C1)))), R)), Y), F=d(G, d(D, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(K, d(O, F1))))))), R))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(P, F1))))), R)))), R)))))), R)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(K, d(O, Y))))))), R))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(P, Y))))), R)))), R)))))), R)), Y)))), G1=d(D, d(H, H1)), I1=d(D, H1), D1=d(E1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), R))), Y))), d(3, d(T, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(N, A1)))), R)))))), R)))))), A1)))), R))), Y))))), J1=d(d(A, M), B1), H1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(J, d(2, d(1, C1)))))))), R))), d(J, O))))), R)), Y)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, A)))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), Z)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), R))))), F1=d(G1, d(d(A, d(d(2, d(1, d(D, K1))), d(D, L1))), d(d(2, d(1, d(D, d(H, L1)))), d(D, d(H, K1))))), M1=d(I1, d(1, d(H, J1))), K1=d(I1, d(1, J1)), N1=d(I1, Y), L1=d(I1, d(G1, d(d(A, d(d(2, d(1, d(D, N1))), d(D, M1))), d(d(2, d(1, d(D, d(H, M1)))), d(D, d(H, N1))))))]).
mm_proof(xchnxbir, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, D)))), d(E, F))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(E, d(G, F)))))), d(E, H)))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, A))), O=d(2, d(1, D)), P=d(2, d(1, d(D, d(d(A, H), H)))), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), T=d(2, d(K, U)), V=d(3, d(T, W)), X=d(3, d(T, d(d(2, d(1, d(2, d(K, d(L, U))))), R))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), D), G=d(d(d(2, d(1, 2)), 1), H), Y=d(d(2, 1), 1), Z=d(I, 1), R=d(I, Y), A1=d(I, B1), W=d(K, R), A=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), R))), S=d(d(2, d(1, d(2, Y))), R), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), A1)))), R), D=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, X)), d(D, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), W), E1=d(d(2, d(K, d(d(2, d(1, d(2, W))), Y))), Y), M=d(T, Y), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, D))))), R))), C1)))), R)), Y), F=d(G, d(d(d(d(2, d(1, 2)), 1), d(D, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(K, d(O, F1))))))), R))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(P, F1))))), R)))), R)))))), R)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(K, d(O, Y))))))), R))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(P, Y))))), R)))), R)))))), R)), Y)))), H)), G1=d(D, d(H, H1)), I1=d(D, H1), D1=d(E1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), R))), Y))), d(3, d(T, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(N, A1)))), R)))))), R)))))), A1)))), R))), Y))))), J1=d(d(A, M), B1), H1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(J, d(2, d(1, C1)))))))), R))), d(J, O))))), R)), Y)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, A)))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), Z)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), R))))), F1=d(G1, d(d(A, d(d(2, d(1, d(D, K1))), d(D, L1))), d(d(2, d(1, d(D, d(H, L1)))), d(D, d(H, K1))))), M1=d(I1, d(1, d(H, J1))), K1=d(I1, d(1, J1)), N1=d(I1, Y), L1=d(I1, d(G1, d(d(A, d(d(2, d(1, d(D, N1))), d(D, M1))), d(d(2, d(1, d(D, d(H, M1)))), d(D, d(H, N1))))))]).
mm_proof(xchbinx, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, E))))), F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(D, G))))), d(D, d(d(d(d(2, d(1, 2)), 1), G), E))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, F)), O=d(2, d(1, d(F, d(d(A, G), G)))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), S=d(2, d(J, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(J, d(K, T))))), Q))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), F), X=d(d(2, 1), 1), Y=d(H, 1), Q=d(H, X), Z=d(H, A1), V=d(J, Q), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), F=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(F, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(J, d(d(2, d(1, d(2, V))), X))), X), L=d(S, X), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, F))))), Q))), B1)))), Q)), X), E1=d(F, d(G, F1)), G1=d(F, F1), E=d(F, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, H1))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, H1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, X))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, X))))), Q)))), Q)))))), Q)), X))), C1=d(D1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), I1=d(d(A, L), A1), F1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, N))))), Q)), X)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), Y)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), H1=d(E1, d(d(A, d(d(2, d(1, d(F, J1))), d(F, K1))), d(d(2, d(1, d(F, d(G, K1)))), d(F, d(G, J1))))), L1=d(G1, d(1, d(G, I1))), J1=d(G1, d(1, I1)), M1=d(G1, X), K1=d(G1, d(E1, d(d(A, d(d(2, d(1, d(F, M1))), d(F, L1))), d(d(2, d(1, d(F, d(G, L1)))), d(F, d(G, M1))))))]).
mm_proof(xchbinxr, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, E))))), F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(D, G))))), d(D, d(d(d(d(2, d(1, 2)), 1), G), E))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, F)), O=d(2, d(1, d(F, d(d(A, G), G)))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), S=d(2, d(J, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(J, d(K, T))))), Q))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), F), X=d(d(2, 1), 1), Y=d(H, 1), Q=d(H, X), Z=d(H, A1), V=d(J, Q), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), F=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(F, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(J, d(d(2, d(1, d(2, V))), X))), X), L=d(S, X), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, F))))), Q))), B1)))), Q)), X), E=d(d(d(d(2, d(1, 2)), 1), d(F, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, E1))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, E1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, X))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, X))))), Q)))), Q)))))), Q)), X)))), G), F1=d(F, d(G, G1)), H1=d(F, G1), C1=d(D1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), I1=d(d(A, L), A1), G1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, N))))), Q)), X)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), Y)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), E1=d(F1, d(d(A, d(d(2, d(1, d(F, J1))), d(F, K1))), d(d(2, d(1, d(F, d(G, K1)))), d(F, d(G, J1))))), L1=d(H1, d(1, d(G, I1))), J1=d(H1, d(1, I1)), M1=d(H1, X), K1=d(H1, d(F1, d(d(A, d(d(2, d(1, d(F, M1))), d(F, L1))), d(d(2, d(1, d(F, d(G, L1)))), d(F, d(G, M1))))))]).
mm_proof(bibi2i, d(d(2, d(A, d(B, d(d(2, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, F)))), G))), d(H, d(E, d(I, F))))))), d(B, d(d(2, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, J)))), G))), d(H, d(E, d(I, J))))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, R))), S=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, T))))), d(1, U)))), O=d(2, d(M, V)), W=d(3, d(O, X)), Y=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, V))))), T))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), H=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(Z, d(A1, B1))))), A=d(d(d(2, d(1, 2)), 1), R), E=d(d(d(2, d(1, 2)), 1), Z), I=d(d(d(2, d(1, 2)), 1), A1), B=d(d(d(2, d(1, 2)), 1), d(Z, d(A1, C1))), D1=d(d(d(2, d(1, 2)), 1), E1), P=d(d(2, 1), 1), F1=d(K, 1), T=d(K, P), G1=d(K, d(d(2, d(1, H1)), X)), X=d(M, T), R=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), G1)))), T))), U=d(d(2, d(1, d(2, P))), T), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), G1)))), T), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, Y)), d(Z, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(M, d(d(2, d(1, d(2, X))), P))), P), A1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, Z))))), T))), I1)))), T)), P), F=d(D1, 1), J=d(D1, d(D, A1)), E1=d(Z, C1), G=d(Z, B1), J1=d(H1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), T))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, G1)))), T)))))), T)))))), G1)))), T))), P))))), C1=d(d(R, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, I1)))))))), T))), d(L, d(2, d(1, Z))))))), T)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, R)))), d(S, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), F1)))), T)))))), d(S, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), T))))), B1=d(E1, P)]).
mm_proof(bibi12i, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(D, E))))), F)))), d(d(d(d(2, d(1, 2)), 1), G), d(D, d(H, E))))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, P))), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), M=d(2, d(K, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, T))))), R))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), X=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(Y, d(Z, A1))))), A=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), Y), H=d(d(d(2, d(1, 2)), 1), Z), B1=d(d(d(2, d(1, 2)), 1), d(Y, d(Z, C1))), D1=d(d(d(2, d(1, 2)), 1), E1), G=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(H, F1))))), N=d(d(2, 1), 1), G1=d(I, 1), R=d(I, N), H1=d(I, d(d(2, d(1, I1)), V)), V=d(K, R), P=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), H1)))), R))), S=d(d(2, d(1, d(2, N))), R), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H1)))), R), Y=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, W)), d(Y, d(d(3, d(3, d(1, K1))), K1))), I1=d(d(2, d(K, d(d(2, d(1, d(2, V))), N))), N), Z=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, Y))))), R))), J1)))), R)), N), F=d(D, F1), L1=d(D1, 1), M1=d(D1, d(C, Z)), N1=d(d(2, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, O1))), F))), d(G, P1)), F1=d(d(2, d(A, d(B1, d(d(2, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, L1)))), Q1))), d(X, d(D, d(H, L1))))))), d(B1, d(d(2, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, M1)))), Q1))), d(X, d(D, d(H, M1)))))), E=d(d(2, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, N1)))), O1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, P1))), d(D, d(H, N1)))), P1=d(Y, d(Z, R1)), E1=d(Y, C1), O1=d(Y, R1), Q1=d(Y, A1), K1=d(I1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), R))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, H1)))), R)))))), R)))))), H1)))), R))), N))))), C1=d(d(P, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(J, d(2, d(1, J1)))))))), R))), d(J, d(2, d(1, Y))))))), R)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, P)))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), G1)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), R))))), R1=d(d(P, Z), Z), A1=d(E1, N)]).
mm_proof(imbi2d, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(2, d(1, F)))))))), G))), d(E, d(2, d(1, A))))))), G)), H)), d(d(2, d(E, d(d(2, d(1, d(2, d(1, B)))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), G)))))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), J)))), G))))))))), D)-[D=d(2, d(1, 1)), E=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), C=d(2, d(1, d(2, B))), I=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, G))))), d(1, N)))), M=d(2, d(K, O)), P=d(3, d(M, Q)), R=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), G))), H=d(d(2, 1), 1), J=d(D, 1), G=d(D, H), S=d(D, d(d(2, d(1, T)), Q)), Q=d(K, G), B=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), G))), N=d(d(2, d(1, d(2, H))), G), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), S)))), G), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, U))), U))), T=d(d(2, d(K, d(d(2, d(1, d(2, Q))), H))), H), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), G))), H))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(C, S)))), G)))))), G)))))), S)))), G))), H)))))]).
mm_proof(imbi1d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), C), d(D, d(E, d(D, F)))))))), G)))), d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), F), d(2, d(1, d(H, d(d(I, J), J))))))))), G))))), G)))))))), G))), K)-[L=d(1, K), M=d(2, d(1, 1)), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, K))))), C=d(2, d(1, d(2, I))), F=d(2, d(1, H)), Q=d(2, d(O, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, R))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), M), E=d(d(d(2, d(1, 2)), 1), d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, G))))), d(N, d(M, L)))))), K=d(d(2, 1), 1), G=d(M, K), V=d(M, d(d(2, d(1, W)), T)), T=d(O, G), I=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G)))), V)))), G))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), V)))), G), H=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, T))), K))), K), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(M, H))))), G))), d(d(2, d(1, U)), d(H, d(d(3, d(3, d(1, X))), X))))))), G)), K), X=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), G))), K))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(C, V)))), G)))))), G)))))), V)))), G))), K)))))]).
mm_proof(bibi2d, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, F)))), G))), d(H, d(E, d(I, F)))))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, S))))), d(1, T)))), N=d(2, d(L, U)), V=d(3, d(N, W)), X=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, U))))), S))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), H=d(d(d(2, d(1, 2)), 1), d(2, d(1, Y))), Z=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A1, d(B1, C1))))), B=d(d(d(2, d(1, 2)), 1), Q), E=d(d(d(2, d(1, 2)), 1), A1), I=d(d(d(2, d(1, 2)), 1), B1), A=d(d(d(2, d(1, 2)), 1), Y), D1=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), E1=d(J, 1), S=d(J, O), F1=d(J, d(d(2, d(1, G1)), W)), W=d(L, S), Q=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), F1)))), S))), T=d(d(2, d(1, d(2, O))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), F1)))), S), A1=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, X)), d(A1, d(d(3, d(3, d(1, I1))), I1))), G1=d(d(2, d(L, d(d(2, d(1, d(2, W))), O))), O), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, A1))))), S))), H1)))), S)), O), J1=d(D1, d(D, d(I, G))), K1=d(D1, d(D, G)), F=d(d(2, d(B, d(H, d(E, L1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(I, L1))))), d(A1, d(B1, M1)))), L1=d(d(2, d(B, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, K1)))), N1))), d(Z, d(E, d(I, K1))))))), d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, J1)))), N1))), d(Z, d(E, d(I, J1)))))), Y=d(A1, M1), G=d(A1, O1), N1=d(A1, C1), I1=d(G1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), S))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, F1)))), S)))))), S)))))), F1)))), S))), O))))), M1=d(B1, O1), O1=d(d(Q, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, d(K, d(2, d(1, H1)))))))), S))), d(K, d(2, d(1, A1))))))), S)), O)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, Q)))), d(R, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), E1)))), S)))))), d(R, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), E1)))), S))))), C1=d(G, O)]).
mm_proof(bibi1d, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, d(I, F))))), d(C, d(J, D)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, R))), S=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, T))))), d(1, U)))), O=d(2, d(M, V)), W=d(3, d(O, X)), Y=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, V))))), T))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), Z=d(d(d(2, d(1, 2)), 1), d(2, d(1, A1))), B1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, d(J, C1))))), B=d(d(d(2, d(1, 2)), 1), R), E=d(d(d(2, d(1, 2)), 1), C), I=d(d(d(2, d(1, 2)), 1), J), A=d(d(d(2, d(1, 2)), 1), A1), D1=d(d(d(2, d(1, 2)), 1), E1), P=d(d(2, 1), 1), F1=d(K, 1), T=d(K, P), G1=d(K, d(d(2, d(1, H1)), X)), X=d(M, T), R=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), G1)))), T))), U=d(d(2, d(1, d(2, P))), T), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), G1)))), T), C=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, Y)), d(C, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(M, d(d(2, d(1, d(2, X))), P))), P), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, C))))), T))), I1)))), T)), P), K1=d(D1, d(H, d(I, E1))), L1=d(D1, d(H, E1)), F=d(D1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, M1)))), d(C, N1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, d(J, N1))))), d(E, d(I, M1)))))), M1=d(D1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, O1)))), E1))), d(Z, d(E, d(I, O1)))))), O1=d(d(2, d(B, d(Z, d(E, P1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, d(I, P1))))), d(C, d(J, Q1)))), P1=d(d(2, d(B, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, L1)))), R1))), d(B1, d(E, d(I, L1))))))), d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, K1)))), R1))), d(B1, d(E, d(I, K1)))))), A1=d(C, Q1), E1=d(C, S1), R1=d(C, C1), J1=d(H1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), T))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, G1)))), T)))))), T)))))), G1)))), T))), P))))), Q1=d(J, S1), S1=d(d(R, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, I1)))))))), T))), d(L, d(2, d(1, C))))))), T)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, R)))), d(S, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), F1)))), T)))))), d(S, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), T))))), T1=d(d(R, J), J), D=d(E1, d(1, d(J, T1))), N1=d(E1, d(1, T1)), C1=d(E1, P)]).
mm_proof(imbi12d, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H)))))-[K=d(1, L), M=d(2, d(1, 1)), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(1, d(S, L))))), T=d(2, d(1, d(2, D))), U=d(2, d(1, A)), V=d(2, d(N, d(P, d(1, W)))), S=d(2, d(O, X)), Y=d(3, d(S, Z)), A1=d(3, d(S, d(d(2, d(1, d(2, d(O, d(R, X))))), Q))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), B1=d(d(d(2, d(1, 2)), 1), M), C1=d(d(d(2, d(1, 2)), 1), d(2, d(N, d(P, d(N, d(M, K)))))), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), B), D1=d(d(d(2, d(1, 2)), 1), E1), L=d(d(2, 1), 1), F1=d(M, 1), Q=d(M, L), G1=d(M, d(d(2, d(1, H1)), Z)), Z=d(O, Q), D=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), G1)))), Q))), W=d(d(2, d(1, d(2, L))), Q), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G1)))), Q), A=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, A1)), d(A, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(O, d(d(2, d(1, d(2, Z))), L))), L), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, A))))), Q))), I1)))), Q)), L), H=d(D1, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, E1))), M)), I=d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(2, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), T), d(B1, d(C1, d(B1, U)))))))), Q)))), d(C1, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), U), d(2, d(1, d(A, d(d(D, B), B))))))))), Q))))), Q)))))))), Q))), L)), E1=d(A, C), J1=d(H1, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), Q))), L))), d(3, d(S, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(O, d(R, d(d(2, d(1, d(2, d(T, G1)))), Q)))))), Q)))))), G1)))), Q))), L))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, d(N, d(2, d(1, I1)))))))), Q))), d(N, U))))), Q)), L)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, D)))), d(V, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), F1)))), Q)))))), d(V, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), Q)))))]).
mm_proof(bibi12d, d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(D, E))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(F, d(G, d(D, d(H, E)))))), I)))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, S))))), d(1, T)))), N=d(2, d(L, U)), V=d(3, d(N, W)), X=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, U))))), S))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), Y=d(d(d(2, d(1, 2)), 1), d(2, d(1, Z))), A1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, d(C1, D1))))), B=d(d(d(2, d(1, 2)), 1), Q), D=d(d(d(2, d(1, 2)), 1), B1), H=d(d(d(2, d(1, 2)), 1), C1), A=d(d(d(2, d(1, 2)), 1), Z), E1=d(d(d(2, d(1, 2)), 1), F1), C=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, G1)))), O=d(d(2, 1), 1), H1=d(J, 1), S=d(J, O), I1=d(J, d(d(2, d(1, J1)), W)), W=d(L, S), Q=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), I1)))), S))), T=d(d(2, d(1, d(2, O))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), I1)))), S), B1=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, X)), d(B1, d(d(3, d(3, d(1, L1))), L1))), J1=d(d(2, d(L, d(d(2, d(1, d(2, W))), O))), O), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, B1))))), S))), K1)))), S)), O), I=d(D, d(H, G1)), M1=d(E1, d(G, d(H, F1))), N1=d(E1, d(G, F1)), E=d(E1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, O1)))), d(D, P1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, d(H, P1))))), d(B1, d(C1, O1)))))), P1=d(E1, d(A, d(d(2, d(B, d(C, d(B1, Q1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, d(C1, Q1))))), I)))), G1=d(E1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, R1)))), F1))), d(Y, d(D, d(H, R1)))))), R1=d(d(2, d(B, d(Y, d(D, S1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, d(H, S1))))), d(B1, d(C1, T1)))), S1=d(d(2, d(B, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, N1)))), U1))), d(A1, d(D, d(H, N1))))))), d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, M1)))), U1))), d(A1, d(D, d(H, M1)))))), Z=d(B1, T1), F1=d(B1, V1), U1=d(B1, D1), L1=d(J1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), S))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, I1)))), S)))))), S)))))), I1)))), S))), O))))), T1=d(C1, V1), V1=d(d(Q, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, d(K, d(2, d(1, K1)))))))), S))), d(K, d(2, d(1, B1))))))), S)), O)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, Q)))), d(R, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), H1)))), S)))))), d(R, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), H1)))), S))))), W1=d(d(Q, C1), C1), O1=d(F1, d(1, d(C1, W1))), Q1=d(F1, d(1, W1)), D1=d(F1, O)]).
mm_proof(imbi12, d(d(2, d(1, d(2, d(1, d(d(A, d(B, C)), d(d(D, d(d(2, d(1, d(A, E))), d(A, F))), d(d(2, d(1, d(A, d(B, F)))), d(A, d(B, E))))))))), G)-[H=d(1, I), J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, N))))), O=d(2, d(1, d(2, d(1, d(P, I))))), Q=d(2, d(1, d(2, D))), R=d(2, d(1, A)), S=d(2, d(K, d(M, d(1, T)))), U=d(2, d(K, d(M, d(K, d(J, H))))), P=d(2, d(L, V)), W=d(3, d(P, X)), Y=d(3, d(P, d(d(2, d(1, d(2, d(L, d(O, V))))), N))), I=d(d(2, 1), 1), Z=d(J, 1), N=d(J, I), A1=d(J, d(d(2, d(1, B1)), X)), X=d(L, N), G=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), A1)))), N)), D=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G), T=d(d(2, d(1, d(2, I))), N), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), A1)))), N), A=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, Y)), d(A, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(L, d(d(2, d(1, d(2, X))), I))), I), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, A))))), N))), C1)))), N)), I), E1=d(A, C), D1=d(B1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), N))), I))), d(3, d(P, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(L, d(O, d(d(2, d(1, d(2, d(Q, A1)))), N)))))), N)))))), A1)))), N))), I))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(K, d(2, d(1, C1)))))))), N))), d(K, R))))), N)), I)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, D)))), d(S, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Z)))), N)))))), d(S, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), N))))), E=d(E1, d(d(2, d(1, E1)), d(J, Y))), F=d(E1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(U, d(J, d(R, W)))))))), N))), d(U, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(d(2, d(1, d(A, d(d(D, B), B)))), W))))), N)))), N))))))), N)), I))]).
mm_proof(imbi1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(C, d(B, d(D, E)))))))), F))), d(C, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(G, d(d(H, I), I)))), E))))), F)))), F))))))), F)), E)-[J=d(1, E), B=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, E))))), A=d(2, d(1, d(2, H))), D=d(2, d(1, G)), C=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, F))))), d(K, d(B, J))))), N=d(2, d(L, O)), P=d(3, d(N, Q)), R=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, O))))), F))), E=d(d(2, 1), 1), F=d(B, E), S=d(B, d(d(2, d(1, T)), Q)), Q=d(L, F), H=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), S)))), F))), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), S)))), F), G=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(L, d(d(2, d(1, d(2, Q))), E))), E), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, G))))), F))), d(d(2, d(1, R)), d(G, d(d(3, d(3, d(1, U))), U))))))), F)), E), U=d(T, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), F))), E))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(A, S)))), F)))))), F)))))), S)))), F))), E)))))]).
mm_proof(imbi2, d(d(2, d(1, d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(2, d(1, F)))))))), G))), d(E, d(2, d(1, A))))))), G)), H)), d(d(2, d(E, d(d(2, d(1, d(2, d(1, B)))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), G)))))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), J)))), G)))))))), G)-[D=d(2, d(1, 1)), E=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), C=d(2, d(1, d(2, B))), I=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, G))))), d(1, N)))), M=d(2, d(K, O)), P=d(3, d(M, Q)), R=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), G))), H=d(d(2, 1), 1), J=d(D, 1), G=d(D, H), S=d(D, d(d(2, d(1, T)), Q)), Q=d(K, G), B=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), G))), N=d(d(2, d(1, d(2, H))), G), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), S)))), G), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, U))), U))), T=d(d(2, d(K, d(d(2, d(1, d(2, Q))), H))), H), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), G))), H))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(C, S)))), G)))))), G)))))), S)))), G))), H)))))]).
mm_proof(bibi1, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, B))), N=d(2, d(1, A)), O=d(2, d(1, d(C, P))), Q=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, R))))), d(1, S)))), K=d(2, d(I, T)), U=d(3, d(K, V)), W=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, T))))), R))), L=d(d(2, 1), 1), X=d(G, 1), R=d(G, L), Y=d(G, d(d(2, d(1, Z)), V)), V=d(I, R), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Y)))), R))), S=d(d(2, d(1, d(2, L))), R), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Y)))), R), C=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, W)), d(C, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(I, d(d(2, d(1, d(2, V))), L))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, C))))), R))), A1)))), R)), L), A=d(C, C1), D1=d(C, E1), F1=d(C, G1), B1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), R))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, Y)))), R)))))), R)))))), Y)))), R))), L))))), C1=d(F, E1), P=d(F, G1), H1=d(d(B, d(N, d(C, I1))), d(d(2, d(1, d(C, d(F, I1)))), d(C, d(F, C1)))), E1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(H, d(2, d(1, A1)))))))), R))), d(H, d(2, d(1, C))))))), R)), L)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(Q, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), X)))), R)))))), d(Q, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), R))))), J1=d(d(B, F), F), I1=d(d(B, d(A, d(d(B, d(d(2, d(1, d(C, K1))), F1)), d(O, d(C, d(F, K1)))))), d(A, d(d(B, d(d(2, d(1, d(C, L1))), F1)), d(O, d(C, d(F, L1)))))), D=d(D1, d(1, d(F, J1))), L1=d(D1, d(1, P)), M1=d(D1, d(1, J1)), K1=d(D1, d(1, G1)), G1=d(D1, L), N1=d(D1, d(A, d(d(B, d(d(2, d(1, d(C, H1))), D1)), d(N, d(C, d(F, H1)))))), E=d(D1, d(A, d(d(B, d(d(2, d(1, d(C, N1))), d(C, M1))), d(d(2, d(1, d(C, d(F, M1)))), d(C, d(F, N1))))))]).
mm_proof(bitr3, d(A, d(B, d(d(C, d(d(2, d(1, d(D, E))), d(D, F))), d(d(2, d(1, d(D, d(G, F)))), d(D, d(G, E))))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, C))), A=d(2, d(1, D)), O=d(2, d(1, B)), P=d(2, d(1, d(D, Q))), R=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, S))))), d(1, T)))), L=d(2, d(J, U)), V=d(3, d(L, W)), X=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, U))))), S))), M=d(d(2, 1), 1), Y=d(H, 1), S=d(H, M), Z=d(H, d(d(2, d(1, A1)), W)), W=d(J, S), C=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, M))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), Z)))), S), D=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(D, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(J, d(d(2, d(1, d(2, W))), M))), M), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, D))))), S))), B1)))), S)), M), B=d(D, D1), E1=d(D, F1), G1=d(D, H1), C1=d(A1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, Z)))), S)))))), S)))))), Z)))), S))), M))))), D1=d(G, F1), Q=d(G, H1), I1=d(d(C, d(O, d(D, J1))), d(d(2, d(1, d(D, d(G, J1)))), d(D, d(G, D1)))), F1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, B1)))))))), S))), d(I, A))))), S)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, C)))), d(R, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), Y)))), S)))))), d(R, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S))))), K1=d(d(C, G), G), J1=d(d(C, d(B, d(d(C, d(d(2, d(1, d(D, L1))), G1)), d(P, d(D, d(G, L1)))))), d(B, d(d(C, d(d(2, d(1, d(D, M1))), G1)), d(P, d(D, d(G, M1)))))), E=d(E1, d(1, d(G, K1))), M1=d(E1, d(1, Q)), N1=d(E1, d(1, K1)), L1=d(E1, d(1, H1)), H1=d(E1, M), O1=d(E1, d(B, d(d(C, d(d(2, d(1, d(D, I1))), E1)), d(O, d(D, d(G, I1)))))), F=d(E1, d(B, d(d(C, d(d(2, d(1, d(D, O1))), d(D, N1))), d(d(2, d(1, d(D, d(G, N1)))), d(D, d(G, O1))))))]).
mm_proof(con2bi, d(d(A, d(B, d(C, D))), d(d(2, d(1, d(C, d(E, D)))), d(C, d(E, F))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, C)), N=d(2, d(1, O)), B=d(2, d(1, d(C, F))), P=d(2, d(1, d(C, Q))), R=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, S))))), d(1, T)))), U=d(2, d(I, V)), W=d(3, d(U, X)), Y=d(3, d(U, d(d(2, d(1, d(2, d(I, d(J, V))))), S))), Z=d(d(2, 1), 1), A1=d(G, 1), S=d(G, Z), B1=d(G, C1), X=d(I, S), A=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), B1)))), S))), T=d(d(2, d(1, d(2, Z))), S), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Z)))), B1)))), S), C=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, Y)), d(C, d(d(3, d(3, d(1, E1))), E1))), C1=d(d(2, d(1, F1)), X), F1=d(d(2, d(I, d(d(2, d(1, d(2, X))), Z))), Z), K=d(U, Z), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), S))), D1)))), S)), Z), G1=d(C, d(E, H1)), I1=d(C, d(E, J1)), K1=d(C, d(E, Q)), O=d(C, d(E, L1)), M1=d(C, H1), N1=d(C, J1), O1=d(C, L1), E1=d(F1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), S))), Z))), d(3, d(U, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, B1)))), S)))))), S)))))), B1)))), S))), Z))))), P1=d(E, d(d(A, d(G1, d(d(A, d(P, O1)), d(N, K1)))), d(G1, d(d(A, d(d(2, d(1, N1)), O1)), d(N, I1))))), D=d(d(A, d(d(2, d(1, d(C, P1))), d(C, Q1))), d(d(2, d(1, d(C, d(E, Q1)))), d(C, d(E, P1)))), R1=d(d(A, K), C1), H1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, D1)))))))), S))), d(H, M))))), S)), Z)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), A1)))), S)))))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), A1)))), S))))), Q1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, S1))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(B, S1))))), S)))), S)))))), S)), Z)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, Z))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(B, Z))))), S)))), S)))))), S)), Z)), F=d(d(A, E), E), S1=d(G1, d(d(A, d(P, d(C, T1))), d(d(2, d(1, d(C, d(E, T1)))), K1))), J1=d(M1, d(1, d(E, R1))), Q=d(M1, d(1, R1)), L1=d(M1, Z), T1=d(M1, d(G1, d(d(A, d(d(2, d(1, O1)), N1)), d(d(2, d(1, I1)), O))))]).
mm_proof(con2bid, d(2, d(1, d(A, d(B, d(d(C, d(D, d(A, E))), d(d(2, d(1, d(A, d(B, E)))), d(A, d(B, F))))))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, C))), M=d(2, d(1, A)), N=d(2, d(1, O)), D=d(2, d(1, d(A, F))), P=d(2, d(1, d(A, Q))), R=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, S))))), d(1, T)))), U=d(2, d(I, V)), W=d(3, d(U, X)), Y=d(3, d(U, d(d(2, d(1, d(2, d(I, d(J, V))))), S))), Z=d(d(2, 1), 1), A1=d(G, 1), S=d(G, Z), B1=d(G, C1), X=d(I, S), C=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), B1)))), S))), T=d(d(2, d(1, d(2, Z))), S), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Z)))), B1)))), S), A=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, Y)), d(A, d(d(3, d(3, d(1, E1))), E1))), C1=d(d(2, d(1, F1)), X), F1=d(d(2, d(I, d(d(2, d(1, d(2, X))), Z))), Z), K=d(U, Z), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, A))))), S))), D1)))), S)), Z), G1=d(A, d(B, H1)), I1=d(A, d(B, J1)), K1=d(A, d(B, Q)), O=d(A, d(B, L1)), M1=d(A, H1), N1=d(A, J1), O1=d(A, L1), E1=d(F1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), S))), Z))), d(3, d(U, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, B1)))), S)))))), S)))))), B1)))), S))), Z))))), P1=d(B, d(d(C, d(G1, d(d(C, d(P, O1)), d(N, K1)))), d(G1, d(d(C, d(d(2, d(1, N1)), O1)), d(N, I1))))), E=d(d(C, d(d(2, d(1, d(A, P1))), d(A, Q1))), d(d(2, d(1, d(A, d(B, Q1)))), d(A, d(B, P1)))), R1=d(d(C, K), C1), H1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, D1)))))))), S))), d(H, M))))), S)), Z)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), A1)))), S)))))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), A1)))), S))))), Q1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, S1))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(D, S1))))), S)))), S)))))), S)), Z)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, Z))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(D, Z))))), S)))), S)))))), S)), Z)), F=d(d(C, B), B), S1=d(G1, d(d(C, d(P, d(A, T1))), d(d(2, d(1, d(A, d(B, T1)))), K1))), J1=d(M1, d(1, d(B, R1))), Q=d(M1, d(1, R1)), L1=d(M1, Z), T1=d(M1, d(G1, d(d(C, d(d(2, d(1, O1)), N1)), d(d(2, d(1, I1)), O))))]).
mm_proof(con1bid, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(D, d(A, d(B, E))), d(d(2, d(1, d(B, d(C, E)))), d(B, d(C, F))))))))), A))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, D))), M=d(2, d(1, B)), N=d(2, d(1, O)), A=d(2, d(1, d(B, F))), P=d(2, d(1, d(B, Q))), R=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, S))))), d(1, T)))), U=d(2, d(I, V)), W=d(3, d(U, X)), Y=d(3, d(U, d(d(2, d(1, d(2, d(I, d(J, V))))), S))), Z=d(d(2, 1), 1), A1=d(G, 1), S=d(G, Z), B1=d(G, C1), X=d(I, S), D=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), B1)))), S))), T=d(d(2, d(1, d(2, Z))), S), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Z)))), B1)))), S), B=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, Y)), d(B, d(d(3, d(3, d(1, E1))), E1))), C1=d(d(2, d(1, F1)), X), F1=d(d(2, d(I, d(d(2, d(1, d(2, X))), Z))), Z), K=d(U, Z), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), S))), D1)))), S)), Z), G1=d(B, d(C, H1)), I1=d(B, d(C, J1)), K1=d(B, d(C, Q)), O=d(B, d(C, L1)), M1=d(B, H1), N1=d(B, J1), O1=d(B, L1), E1=d(F1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), S))), Z))), d(3, d(U, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, B1)))), S)))))), S)))))), B1)))), S))), Z))))), P1=d(C, d(d(D, d(G1, d(d(D, d(P, O1)), d(N, K1)))), d(G1, d(d(D, d(d(2, d(1, N1)), O1)), d(N, I1))))), E=d(d(D, d(d(2, d(1, d(B, P1))), d(B, Q1))), d(d(2, d(1, d(B, d(C, Q1)))), d(B, d(C, P1)))), R1=d(d(D, K), C1), H1=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, D1)))))))), S))), d(H, M))))), S)), Z)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, D)))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), A1)))), S)))))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), A1)))), S))))), Q1=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, S1))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(A, S1))))), S)))), S)))))), S)), Z)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, Z))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(A, Z))))), S)))), S)))))), S)), Z)), F=d(d(D, C), C), S1=d(G1, d(d(D, d(P, d(B, T1))), d(d(2, d(1, d(B, d(C, T1)))), K1))), J1=d(M1, d(1, d(C, R1))), Q=d(M1, d(1, R1)), L1=d(M1, Z), T1=d(M1, d(G1, d(d(D, d(d(2, d(1, O1)), N1)), d(d(2, d(1, I1)), O))))]).
mm_proof(con1bii, d(A, d(d(2, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(E, G)))), d(C, d(A, D)))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, B))), N=d(2, d(1, E)), O=d(2, d(1, d(E, d(d(B, P), P)))), Q=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, R))))), d(1, S)))), T=d(2, d(J, U)), V=d(3, d(T, W)), X=d(3, d(T, d(d(2, d(1, d(2, d(J, d(K, U))))), R))), C=d(d(d(2, d(1, 2)), 1), E), A=d(d(d(2, d(1, 2)), 1), P), Y=d(d(2, 1), 1), Z=d(H, 1), R=d(H, Y), A1=d(H, B1), W=d(J, R), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), R))), S=d(d(2, d(1, d(2, Y))), R), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), A1)))), R), E=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, X)), d(E, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), W), E1=d(d(2, d(J, d(d(2, d(1, d(2, W))), Y))), Y), L=d(T, Y), P=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, E))))), R))), C1)))), R)), Y), F1=d(E, d(P, G1)), H1=d(E, G1), D=d(E, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, I1))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, I1))))), R)))), R)))))), R)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, Y))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, Y))))), R)))), R)))))), R)), Y))), D1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), R))), Y))), d(3, d(T, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, A1)))), R)))))), R)))))), A1)))), R))), Y))))), G=d(P, F), F=d(d(B, L), B1), G1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, C1)))))))), R))), d(I, N))))), R)), Y)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(Q, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), Z)))), R)))))), d(Q, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), R))))), I1=d(F1, d(d(B, d(d(2, d(1, d(E, J1))), d(E, K1))), d(d(2, d(1, d(E, d(P, K1)))), d(E, d(P, J1))))), L1=d(H1, d(1, G)), J1=d(H1, d(1, F)), M1=d(H1, Y), K1=d(H1, d(F1, d(d(B, d(d(2, d(1, d(E, M1))), d(E, L1))), d(d(2, d(1, d(E, d(P, L1)))), d(E, d(P, M1))))))]).
mm_proof(con2bii, d(d(2, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(B, C)))), d(D, E)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(D, F)))), d(B, d(d(d(d(2, d(1, 2)), 1), G), C))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, D)), O=d(2, d(1, d(D, d(d(A, G), G)))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), S=d(2, d(J, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(J, d(K, T))))), Q))), B=d(d(d(2, d(1, 2)), 1), D), X=d(d(2, 1), 1), Y=d(H, 1), Q=d(H, X), Z=d(H, A1), V=d(J, Q), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), D=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(D, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(J, d(d(2, d(1, d(2, V))), X))), X), L=d(S, X), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, D))))), Q))), B1)))), Q)), X), C=d(d(d(d(2, d(1, 2)), 1), d(D, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, E1))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, E1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, X))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, X))))), Q)))), Q)))))), Q)), X)))), G), F1=d(D, d(G, G1)), H1=d(D, G1), C1=d(D1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), F=d(G, E), E=d(d(A, L), A1), G1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, N))))), Q)), X)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), Y)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), E1=d(F1, d(d(A, d(d(2, d(1, d(D, I1))), d(D, J1))), d(d(2, d(1, d(D, d(G, J1)))), d(D, d(G, I1))))), K1=d(H1, d(1, F)), I1=d(H1, d(1, E)), L1=d(H1, X), J1=d(H1, d(F1, d(d(A, d(d(2, d(1, d(D, L1))), d(D, K1))), d(d(2, d(1, d(D, d(G, K1)))), d(D, d(G, L1))))))]).
mm_proof(con1b, d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), G)))), E))), H), H)-[I=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, F))))), A=d(2, d(B, D)), F=d(d(2, 1), 1), E=d(I, F), G=d(I, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, J))), F))), F))), J)), J=d(B, E), H=d(B, d(C, F)), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), G)))), E)]).
mm_proof(con2b, d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, E)))), G)))), E))), H), H)-[I=d(2, d(1, 1)), B=d(2, d(1, 3)), F=d(2, d(1, d(2, C))), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(I, C), G=d(I, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, J))), C))), C))), J)), J=d(B, E), H=d(B, d(d(2, d(1, d(2, d(F, G)))), E)), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), G)))), E)]).
mm_proof(biimt, d(d(2, d(1, d(A, d(d(B, C), C)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, F))))), G))), H)))), G)), I))-[F=d(1, 1), E=d(2, F), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, I))))), D=d(2, d(1, d(2, B))), L=d(2, d(J, M)), N=d(3, d(L, O)), P=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), G))), I=d(d(2, 1), 1), G=d(E, I), Q=d(E, d(d(2, d(1, R)), O)), O=d(J, G), B=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), Q)))), G))), H=d(d(2, d(1, d(2, I))), G), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), G), A=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(J, d(d(2, d(1, d(2, O))), I))), I), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, A))))), G))), d(d(2, d(1, P)), d(A, d(d(3, d(3, d(1, S))), S))))))), G)), I), S=d(R, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), G))), I))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(D, Q)))), G)))))), G)))))), Q)))), G))), I)))))]).
mm_proof('pm5.5', d(A, d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, D))))), E))), F)))), E)), G)))-[D=d(1, 1), C=d(2, D), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, K))), A=d(2, d(1, d(L, d(d(K, M), M)))), J=d(2, d(H, N)), O=d(3, d(J, P)), Q=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, N))))), E))), G=d(d(2, 1), 1), E=d(C, G), R=d(C, d(d(2, d(1, S)), P)), P=d(H, E), K=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), R)))), E))), F=d(d(2, d(1, d(2, G))), E), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), R)))), E), L=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(H, d(d(2, d(1, d(2, P))), G))), G), M=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, L))))), E))), d(d(2, d(1, Q)), d(L, d(d(3, d(3, d(1, T))), T))))))), E)), G), T=d(S, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), E))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, R)))), E)))))), E)))))), R)))), E))), G)))))]).
mm_proof(mt2bi, d(d(2, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, C)))), d(D, E)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(D, d(d(d(d(2, d(1, 2)), 1), F), E))))), d(B, d(F, C))))-[G=d(1, 1), H=d(2, G), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, L))), N=d(2, d(1, d(2, A))), K=d(2, d(I, O)), P=d(3, d(K, Q)), R=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, O))))), S))), D=d(d(d(2, d(1, 2)), 1), B), L=d(d(2, 1), 1), S=d(H, L), T=d(H, d(d(2, d(1, U)), Q)), Q=d(I, S), V=d(I, d(d(2, d(1, d(2, d(M, T)))), S)), A=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), T)))), S))), W=d(M, S), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), T)))), S), B=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(B, d(d(A, F), F)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, G))))), S))), W)))), S)), L)), U=d(d(2, d(I, d(d(2, d(1, d(2, Q))), L))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, B))))), S))), d(d(2, d(1, R)), d(B, d(d(3, d(3, d(1, X))), X))))))), S)), L), X=d(U, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), S))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(N, T)))), S)))))), S)))))), T)))), S))), L))))), C=d(d(A, V), V)]).
mm_proof(mtt, d(d(A, d(B, C)), d(d(D, d(d(2, d(1, d(A, E))), d(A, F))), d(d(2, d(1, d(A, d(B, F)))), d(A, d(B, E)))))-[G=d(1, 1), H=d(2, G), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, M))), O=d(2, d(1, d(2, D))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), D=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q))), R=d(N, Q), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), X)))), Q), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, A1))), A1))), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, A))))), Q))), Z)))), Q)), M), B1=d(A, C), A1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(O, X)))), Q)))))), Q)))))), X)))), Q))), M))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(I, d(2, d(1, Z)))))))), Q))), d(I, d(2, d(1, A))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, D)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), Q))))), E=d(B1, d(1, d(B, d(d(D, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))), 3)))), F=d(B1, d(d(2, d(1, d(A, d(d(D, B), B)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, G))))), Q))), R)))), Q)), M)))]).
mm_proof(imnot, d(A, d(d(B, d(C, D)), d(d(E, d(d(2, d(1, d(B, F))), d(B, G))), d(d(2, d(1, d(B, d(C, G)))), d(B, d(C, F))))))-[H=d(1, 1), I=d(2, H), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, N))), P=d(2, d(1, d(2, E))), A=d(2, d(1, d(B, d(d(E, C), C)))), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), M=d(2, d(K, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, T))))), R))), N=d(d(2, 1), 1), X=d(I, 1), R=d(I, N), Y=d(I, d(d(2, d(1, Z)), V)), V=d(K, R), E=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Y)))), R))), S=d(O, R), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), Y)))), R), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(K, d(d(2, d(1, d(2, V))), N))), N), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, B))))), R))), A1)))), R)), N), C1=d(B, D), B1=d(Z, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), R))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(P, Y)))), R)))))), R)))))), Y)))), R))), N))))), D=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, A1)))))))), R))), d(J, d(2, d(1, B))))))), R)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, E)))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), R))))), F=d(C1, d(1, d(C, d(d(E, d(K, d(L, d(d(2, d(1, d(2, d(O, Y)))), R)))), 3)))), G=d(C1, d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, H))))), R))), S)))), R)), N)))]).
mm_proof('pm5.501', d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(d(2, d(1, d(2, d(d(2, d(1, C)), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))))), D))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, 1))))), D))), 1)))), D))))), D)), E)-[B=d(2, d(1, 1)), F=d(2, d(1, 3)), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(3, d(G, d(d(2, d(1, d(2, d(F, d(d(2, d(1, d(2, d(1, d(G, E))))), H))))), D))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), D)))), I)))), D)))))), G=d(2, d(F, H)), C=d(3, d(G, J)), E=d(d(2, 1), 1), D=d(B, E), I=d(B, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, J))), E))), E))), J)), J=d(F, D), H=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), I)))), D)]).
mm_proof(ibib, d(d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(2, d(1, F)))))))), G))), d(E, d(2, d(1, A))))))), G)), H)), d(d(2, d(E, d(d(2, d(1, d(2, d(1, B)))), d(I, d(D, d(d(2, d(1, d(2, d(J, K)))), G)))))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), K)))), G)))))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(J, G)))))), G))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, K)))), G))), 1)))), G))))), G)), H))-[D=d(2, d(1, 1)), E=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, H))))), C=d(2, d(1, d(2, B))), J=d(2, d(1, d(2, A))), I=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, G))))), d(1, O)))), N=d(2, d(L, P)), Q=d(3, d(N, R)), S=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, P))))), G))), H=d(d(2, 1), 1), K=d(D, 1), G=d(D, H), T=d(D, d(d(2, d(1, U)), R)), R=d(L, G), B=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), T)))), G))), O=d(d(2, d(1, d(2, H))), G), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), T)))), G), A=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, S)), d(A, d(d(3, d(3, d(1, V))), V))), U=d(d(2, d(L, d(d(2, d(1, d(2, R))), H))), H), V=d(U, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), G))), H))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(C, T)))), G)))))), G)))))), T)))), G))), H)))))]).
mm_proof(ibibr, d(A, d(d(B, d(C, D)), d(d(E, d(d(2, d(1, d(B, F))), d(B, G))), d(d(2, d(1, d(B, d(C, G)))), d(B, d(C, F))))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, E))), O=d(2, d(1, d(2, B))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), E=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q))), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), X)))), Q), B=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, V)), d(B, d(d(3, d(3, d(1, A1))), A1))), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, B))))), Q))), Z)))), Q)), M), A=d(B, D), A1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), D=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, Z)))))))), Q))), d(I, d(2, d(1, B))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, E)))), d(P, d(H, d(d(2, d(1, d(2, d(O, W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), Q))))), F=d(A, d(1, d(d(E, C), C))), G=d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(O, Q)))))), Q))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, W)))), Q))), 1)))), Q))))), Q)), M))]).
mm_proof(tbt, d(A, d(B, d(A, d(d(C, d(d(2, d(1, d(D, E))), d(D, F))), d(d(2, d(1, d(D, d(G, F)))), d(D, d(G, E)))))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, C))), O=d(2, d(1, d(2, D))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), C=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q))), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), X)))), Q), D=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, V)), d(D, d(d(3, d(3, d(1, A1))), A1))), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, D))))), Q))), Z)))), Q)), M), A=d(D, d(G, B1)), B=d(D, B1), A1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), B1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, Z)))))))), Q))), d(I, d(2, d(1, D))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, C)))), d(P, d(H, d(d(2, d(1, d(2, d(O, W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), Q))))), E=d(B, d(1, d(d(C, G), G))), F=d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(O, Q)))))), Q))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, W)))), Q))), 1)))), Q))))), Q)), M))]).
mm_proof(nbn2, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, d(2, C))), N=d(2, d(1, C)), O=d(2, d(1, d(C, d(d(B, F), F)))), P=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q))))), d(1, R)))), S=d(2, d(I, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(I, d(J, T))))), Q))), X=d(d(2, 1), 1), Y=d(G, 1), Q=d(G, X), Z=d(G, A1), V=d(I, Q), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), C=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(C, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(I, d(d(2, d(1, d(2, V))), X))), X), K=d(S, X), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), Q))), B1)))), Q)), X), A=d(C, d(F, E1)), F1=d(C, E1), C1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), G1=d(d(B, K), A1), E1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, B1)))))))), Q))), d(H, N))))), Q)), X)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(P, d(G, d(d(2, d(1, d(2, d(M, Y)))), Q)))))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), H1=d(A, d(d(B, d(d(2, d(1, d(C, I1))), d(C, J1))), d(d(2, d(1, d(C, d(F, J1)))), d(C, d(F, I1))))), K1=d(F1, d(1, d(F, G1))), D=d(F1, d(1, d(F, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, H1))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, H1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, X))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, X))))), Q)))), Q)))))), Q)), X))))), I1=d(F1, d(1, G1)), L1=d(F1, X), E=d(F1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(M, Q)))))), Q))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, Y)))), Q))), 1)))), Q))))), Q)), X)), J1=d(F1, d(A, d(d(B, d(d(2, d(1, d(C, L1))), d(C, K1))), d(d(2, d(1, d(C, d(F, K1)))), d(C, d(F, L1))))))]).
mm_proof(bibif, d(A, d(B, d(d(C, d(d(2, d(1, d(D, E))), d(D, F))), d(d(2, d(1, d(D, d(G, F)))), d(D, d(G, E))))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, C))), N=d(2, d(1, d(2, D))), O=d(2, d(1, D)), A=d(2, d(1, d(D, P))), Q=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, R))))), d(1, S)))), T=d(2, d(J, U)), V=d(3, d(T, W)), X=d(3, d(T, d(d(2, d(1, d(2, d(J, d(K, U))))), R))), Y=d(d(2, 1), 1), Z=d(H, 1), R=d(H, Y), A1=d(H, B1), W=d(J, R), C=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), R))), S=d(d(2, d(1, d(2, Y))), R), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), A1)))), R), D=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, X)), d(D, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), W), E1=d(d(2, d(J, d(d(2, d(1, d(2, W))), Y))), Y), L=d(T, Y), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, D))))), R))), C1)))), R)), Y), B=d(D, d(G, F1)), G1=d(D, F1), D1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), R))), Y))), d(3, d(T, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, A1)))), R)))))), R)))))), A1)))), R))), Y))))), H1=d(d(C, L), B1), F1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, C1)))))))), R))), d(I, O))))), R)), Y)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, C)))), d(Q, d(H, d(d(2, d(1, d(2, d(N, Z)))), R)))))), d(Q, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), R))))), P=d(d(C, G), G), I1=d(B, d(d(C, d(d(2, d(1, d(D, J1))), d(D, K1))), d(d(2, d(1, d(D, d(G, K1)))), d(D, d(G, J1))))), L1=d(G1, d(1, d(G, H1))), M1=d(G1, d(1, d(G, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(O, I1))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(A, I1))))), R)))), R)))))), R)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(O, Y))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(A, Y))))), R)))), R)))))), R)), Y))))), J1=d(G1, d(1, H1)), E=d(G1, d(1, P)), N1=d(G1, Y), O1=d(G1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(N, R)))))), R))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, Z)))), R))), 1)))), R))))), R)), Y)), F=d(G1, d(B, d(d(C, d(d(2, d(1, d(D, M1))), d(D, O1))), d(d(2, d(1, d(D, d(G, O1)))), d(D, d(G, M1)))))), K1=d(G1, d(B, d(d(C, d(d(2, d(1, d(D, N1))), d(D, L1))), d(d(2, d(1, d(D, d(G, L1)))), d(D, d(G, N1))))))]).
mm_proof(nbn, d(d(d(d(2, d(1, 2)), 1), A), d(B, d(C, d(d(D, d(d(2, d(1, d(E, F))), d(E, G))), d(d(2, d(1, d(E, d(A, G)))), d(E, d(A, F)))))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, D))), N=d(2, d(1, d(2, E))), O=d(2, d(1, E)), B=d(2, d(1, d(E, P))), Q=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, R))))), d(1, S)))), T=d(2, d(J, U)), V=d(3, d(T, W)), X=d(3, d(T, d(d(2, d(1, d(2, d(J, d(K, U))))), R))), Y=d(d(2, 1), 1), Z=d(H, 1), R=d(H, Y), A1=d(H, B1), W=d(J, R), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), R))), S=d(d(2, d(1, d(2, Y))), R), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), A1)))), R), E=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, X)), d(E, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), W), E1=d(d(2, d(J, d(d(2, d(1, d(2, W))), Y))), Y), L=d(T, Y), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, E))))), R))), C1)))), R)), Y), C=d(E, d(A, F1)), G1=d(E, F1), D1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), R))), Y))), d(3, d(T, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, A1)))), R)))))), R)))))), A1)))), R))), Y))))), H1=d(d(D, L), B1), F1=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, C1)))))))), R))), d(I, O))))), R)), Y)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, D)))), d(Q, d(H, d(d(2, d(1, d(2, d(N, Z)))), R)))))), d(Q, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), R))))), P=d(d(D, A), A), I1=d(C, d(d(D, d(d(2, d(1, d(E, J1))), d(E, K1))), d(d(2, d(1, d(E, d(A, K1)))), d(E, d(A, J1))))), L1=d(G1, d(1, d(A, H1))), M1=d(G1, d(1, d(A, d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(O, I1))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(B, I1))))), R)))), R)))))), R)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(O, Y))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(B, Y))))), R)))), R)))))), R)), Y))))), J1=d(G1, d(1, H1)), F=d(G1, d(1, P)), N1=d(G1, Y), O1=d(G1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(N, R)))))), R))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, Z)))), R))), 1)))), R))))), R)), Y)), G=d(G1, d(C, d(d(D, d(d(2, d(1, d(E, M1))), d(E, O1))), d(d(2, d(1, d(E, d(A, O1)))), d(E, d(A, M1)))))), K1=d(G1, d(C, d(d(D, d(d(2, d(1, d(E, N1))), d(E, L1))), d(d(2, d(1, d(E, d(A, L1)))), d(E, d(A, N1))))))]).
mm_proof(nbn3, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(B, d(C, d(d(D, d(d(2, d(1, d(E, F))), d(E, G))), d(d(2, d(1, d(E, d(A, G)))), d(E, d(A, F))))))), H))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, H)))), M=d(2, d(1, d(2, D))), N=d(2, d(1, d(2, E))), O=d(2, d(1, E)), B=d(2, d(1, d(E, P))), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), T=d(2, d(K, U)), V=d(3, d(T, W)), X=d(3, d(T, d(d(2, d(1, d(2, d(K, d(L, U))))), R))), Y=d(d(2, 1), 1), Z=d(I, 1), R=d(I, Y), A1=d(I, B1), W=d(K, R), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), R))), S=d(d(2, d(1, d(2, Y))), R), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), A1)))), R), E=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, X)), d(E, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), W), E1=d(d(2, d(K, d(d(2, d(1, d(2, W))), Y))), Y), H=d(T, Y), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(I, E))))), R))), C1)))), R)), Y), C=d(E, d(A, F1)), G1=d(E, F1), D1=d(E1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), R))), Y))), d(3, d(T, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(M, A1)))), R)))))), R)))))), A1)))), R))), Y))))), H1=d(d(D, H), B1), F1=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(I, d(J, d(2, d(1, C1)))))))), R))), d(J, O))))), R)), Y)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, D)))), d(Q, d(I, d(d(2, d(1, d(2, d(N, Z)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), R))))), P=d(d(D, A), A), I1=d(C, d(d(D, d(d(2, d(1, d(E, J1))), d(E, K1))), d(d(2, d(1, d(E, d(A, K1)))), d(E, d(A, J1))))), L1=d(G1, d(1, d(A, H1))), M1=d(G1, d(1, d(A, d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(I, d(K, d(O, I1))))))), R))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(B, I1))))), R)))), R)))))), R)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(I, d(K, d(O, Y))))))), R))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(B, Y))))), R)))), R)))))), R)), Y))))), J1=d(G1, d(1, H1)), F=d(G1, d(1, P)), N1=d(G1, Y), O1=d(G1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(I, d(N, R)))))), R))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, Z)))), R))), 1)))), R))))), R)), Y)), G=d(G1, d(C, d(d(D, d(d(2, d(1, d(E, M1))), d(E, O1))), d(d(2, d(1, d(E, d(A, O1)))), d(E, d(A, M1)))))), K1=d(G1, d(C, d(d(D, d(d(2, d(1, d(E, N1))), d(E, L1))), d(d(2, d(1, d(E, d(A, L1)))), d(E, d(A, N1))))))]).
mm_proof('pm5.21im', d(A, d(B, d(d(C, d(d(2, d(1, d(D, E))), d(D, F))), d(d(2, d(1, d(D, d(G, F)))), d(D, d(G, E))))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, C))), N=d(2, d(1, d(2, D))), A=d(2, d(1, D)), O=d(2, d(1, d(D, d(d(C, G), G)))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), S=d(2, d(J, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(J, d(K, T))))), Q))), X=d(d(2, 1), 1), Y=d(H, 1), Q=d(H, X), Z=d(H, A1), V=d(J, Q), C=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), D=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(D, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(J, d(d(2, d(1, d(2, V))), X))), X), L=d(S, X), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, D))))), Q))), B1)))), Q)), X), B=d(D, d(G, E1)), F1=d(D, E1), C1=d(D1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), G1=d(d(C, L), A1), E1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, A))))), Q)), X)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, C)))), d(P, d(H, d(d(2, d(1, d(2, d(N, Y)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), H1=d(B, d(d(C, d(d(2, d(1, d(D, I1))), d(D, J1))), d(d(2, d(1, d(D, d(G, J1)))), d(D, d(G, I1))))), K1=d(F1, d(1, d(G, G1))), E=d(F1, d(1, d(G, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(A, H1))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A, d(O, H1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(A, X))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A, d(O, X))))), Q)))), Q)))))), Q)), X))))), I1=d(F1, d(1, G1)), L1=d(F1, X), F=d(F1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(N, Q)))))), Q))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, Y)))), Q))), 1)))), Q))))), Q)), X)), J1=d(F1, d(B, d(d(C, d(d(2, d(1, d(D, L1))), d(D, K1))), d(d(2, d(1, d(D, d(G, K1)))), d(D, d(G, L1))))))]).
mm_proof('2falsed', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(F, d(G, H))))))))), I))))), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(J, d(d(K, L), L)))))), H))))))), I)))))), I)))))))), I)))), M)-[E=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, M))))), D=d(2, d(1, d(2, K))), P=d(2, d(N, Q)), R=d(3, d(P, S)), T=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), I))), U=d(d(d(2, d(1, 2)), 1), 1), V=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), U), B=d(d(d(2, d(1, 2)), 1), V), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), N)), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, J)))), M=d(d(2, 1), 1), I=d(E, M), W=d(E, d(d(2, d(1, X)), S)), S=d(N, I), K=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), I)))), W)))), I))), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), W)))), I), J=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(N, d(d(2, d(1, d(2, S))), M))), M), L=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, J))))), I))), d(d(2, d(1, T)), d(J, d(d(3, d(3, d(1, Y))), Y))))))), I)), M), H=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(V, d(U, d(V, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, 1))))), I))), 1)))), I))))), E))))), I))))))), M), Y=d(X, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), I))), M))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(D, W)))), I)))))), I)))))), W)))), I))), M)))))]).
mm_proof('pm5.21ni', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), E), d(F, d(G, H))))))))), I))))), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(J, d(d(K, L), L)))))), H))))))), I)))))), I)))))))), I)))), M)-[N=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, M))))), D=d(2, d(1, d(2, K))), Q=d(2, d(O, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, R))))), I))), V=d(d(d(2, d(1, 2)), 1), 1), W=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), N), X=d(d(d(2, d(1, 2)), 1), O), C=d(d(d(2, d(1, 2)), 1), V), B=d(d(d(2, d(1, 2)), 1), W), F=d(d(d(2, d(1, 2)), 1), X), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, J)))), M=d(d(2, 1), 1), I=d(N, M), Y=d(N, d(d(2, d(1, Z)), T)), T=d(O, I), K=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), I)))), Y)))), I))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), Y)))), I), J=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(O, d(d(2, d(1, d(2, T))), M))), M), L=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(N, J))))), I))), d(d(2, d(1, U)), d(J, d(d(3, d(3, d(1, A1))), A1))))))), I)), M), B1=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(W, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(W, d(V, d(W, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(W, d(V, d(W, d(V, Q))))), Y))))), I)))), M), H=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(W, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(W, d(V, d(W, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(N, 1))))), I))), 1)))), I))))), d(E, B1)))))), I))))), B1)))), M), A1=d(Z, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), I))), M))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(D, Y)))), I)))))), I)))))), Y)))), I))), M)))))]).
mm_proof('pm5.21nii', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, 1)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(E, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, 2)), 1), H), d(I, d(J, K))))))))), L))))), d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(E, d(J, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(M, d(d(N, O), O)))))), K))))))), L)))))), L)))))))), L)))), P)))))-[Q=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(C, P))))), G=d(2, d(1, d(2, N))), C=d(2, d(R, T)), U=d(3, d(C, V)), W=d(3, d(C, d(d(2, d(1, d(2, d(R, d(S, T))))), L))), X=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), Q), Y=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), X), E=d(d(d(2, d(1, 2)), 1), B), I=d(d(d(2, d(1, 2)), 1), Y), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, M)))), P=d(d(2, 1), 1), L=d(Q, P), Z=d(Q, d(d(2, d(1, A)), V)), V=d(R, L), N=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), L)))), Z)))), L))), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), Z)))), L), M=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(R, d(d(2, d(1, d(2, V))), P))), P), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(Q, M))))), L))), d(d(2, d(1, W)), d(M, d(d(3, d(3, d(1, A1))), A1))))))), L)), P), B1=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(Y, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(X, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(X, d(B, d(X, C))))), Z))))), L)))), P), K=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(X, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(Q, 1))))), L))), 1)))), L))))), d(H, B1)))))), L))))), B1)))), P), A1=d(A, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), L))), P))), d(3, d(C, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(G, Z)))), L)))))), L)))))), Z)))), L))), P)))))]).
mm_proof('pm5.21ndd', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(E, F))))), d(C, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(E, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(H, d(I, d(d(J, d(d(2, d(1, d(K, L))), d(K, M))), d(d(2, d(1, d(K, d(N, M)))), d(K, d(N, L))))))))))), O))))), O)))))))))), P)-[F=d(2, d(1, 1)), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, T)))), D=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, J))), W=d(2, d(1, d(2, K))), H=d(2, d(1, K)), X=d(2, d(1, d(K, d(d(J, N), N)))), Y=d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, Z))))), d(1, A1)))), B1=d(2, d(R, C1)), D1=d(3, d(B1, U)), E1=d(3, d(B1, d(d(2, d(1, d(2, d(R, d(S, C1))))), Z))), F1=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), Q), G1=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), S), C=d(d(d(2, d(1, 2)), 1), G1), P=d(d(2, 1), 1), H1=d(F, 1), Z=d(F, P), I1=d(F, J1), U=d(R, Z), J=d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), I1)))), Z))), A1=d(d(2, d(1, d(2, P))), Z), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I1)))), Z), K=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, E1)), d(K, d(d(3, d(3, d(1, L1))), L1))), J1=d(d(2, d(1, M1)), U), M1=d(d(2, d(R, d(D, P))), P), T=d(B1, P), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, K))))), Z))), K1)))), Z)), P), O=d(G1, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(F1, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(F1, 2))), I1))))), Z))), I=d(K, d(N, N1)), O1=d(K, N1), L1=d(M1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), Z))), P))), d(3, d(B1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, I1)))), Z)))))), Z)))))), I1)))), Z))), P))))), P1=d(d(J, T), J1), N1=d(d(J, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, d(Q, d(2, d(1, K1)))))))), Z))), d(Q, H))))), Z)), P)), d(d(2, d(Q, d(d(2, d(1, d(2, d(1, J)))), d(Y, d(F, d(d(2, d(1, d(2, d(W, H1)))), Z)))))), d(Y, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), H1)))), Z))))), Q1=d(I, d(d(J, d(d(2, d(1, d(K, R1))), d(K, S1))), d(d(2, d(1, d(K, d(N, S1)))), d(K, d(N, R1))))), T1=d(O1, d(1, d(N, P1))), L=d(O1, d(1, d(N, d(d(J, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, d(R, d(H, Q1))))))), Z))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(X, Q1))))), Z)))), Z)))))), Z)), P)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, d(R, d(H, P))))))), Z))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(X, P))))), Z)))), Z)))))), Z)), P))))), R1=d(O1, d(1, P1)), U1=d(O1, P), M=d(O1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, d(W, Z)))))), Z))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, H1)))), Z))), 1)))), Z))))), Z)), P)), S1=d(O1, d(I, d(d(J, d(d(2, d(1, d(K, U1))), d(K, T1))), d(d(2, d(1, d(K, d(N, T1)))), d(K, d(N, U1))))))]).
mm_proof(bija, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), D), d(E, d(d(2, d(1, F)), d(G, d(d(3, d(3, d(1, H))), H))))))))), d(B, d(d(d(d(2, d(1, 2)), 1), I), d(E, d(J, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), K)))), L)))))))))))), M)-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(N, M))))), C=d(2, d(1, d(2, O))), N=d(2, d(J, P)), Q=d(3, d(N, O)), F=d(3, d(N, d(d(2, d(1, d(2, d(J, d(I, P))))), L))), R=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), J), E=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, 2))), L))))), M=d(d(2, 1), 1), L=d(D, M), K=d(D, d(d(2, d(1, S)), O)), O=d(J, L), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), K)))), L), G=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(J, d(C, M))), M), H=d(S, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), M))), d(3, d(N, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), L)))), K)))), L)))))), K)))), L)))))), L)))))), K)))), L))), M)))))]).
mm_proof('pm5.18', d(A, d(d(2, d(1, d(B, d(C, d(d(D, d(d(2, d(1, E)), d(F, G))), d(d(2, d(1, d(F, d(H, G)))), I)))))), d(3, d(J, d(B, d(C, d(d(D, d(d(2, d(1, d(F, K))), d(F, L))), d(d(2, d(1, d(F, d(H, L)))), d(F, d(H, K))))))))))-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, D))), S=d(2, d(1, d(2, F))), T=d(2, d(1, F)), U=d(2, d(1, d(F, d(H, d(d(D, d(B, d(F, V))), d(d(2, d(1, d(F, d(H, V)))), d(F, d(H, W)))))))), X=d(2, d(1, Y)), B=d(2, d(1, d(F, W))), Z=d(2, d(1, d(F, A1))), B1=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, C1))))), d(1, D1)))), J=d(2, d(O, E1)), F1=d(3, d(J, G1)), H1=d(3, d(J, d(d(2, d(1, d(2, d(O, d(P, E1))))), C1))), I1=d(d(2, 1), 1), J1=d(M, 1), C1=d(M, I1), K1=d(M, L1), G1=d(O, C1), D=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), K1)))), C1))), D1=d(d(2, d(1, d(2, I1))), C1), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I1)))), K1)))), C1), F=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(1, H1)), d(F, d(d(3, d(3, d(1, N1))), N1))), L1=d(d(2, d(1, A)), G1), A=d(d(2, d(O, d(d(2, d(1, d(2, G1))), I1))), I1), Q=d(J, I1), O1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(S, C1)))))), C1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, J1)))), C1))), 1)))), C1))))), C1)), I1), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, F))))), C1))), M1)))), C1)), I1), C=d(F, d(H, P1)), Q1=d(F, d(H, R1)), S1=d(F, d(H, A1)), Y=d(F, d(H, T1)), I=d(F, d(H, U1)), V1=d(F, P1), W1=d(F, R1), X1=d(F, T1), E=d(F, U1), N1=d(A, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1)))), C1))), I1))), d(3, d(J, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, K1)))), C1)))))), C1)))))), K1)))), C1))), I1))))), Y1=d(H, Z1), A2=d(H, d(d(D, d(C, d(d(D, d(Z, X1)), d(X, S1)))), d(C, d(d(D, d(d(2, d(1, W1)), X1)), d(X, Q1))))), V=d(d(D, d(d(2, d(1, d(F, A2))), d(F, Z1))), d(d(2, d(1, d(F, Y1))), d(F, d(H, A2)))), B2=d(d(D, Q), L1), P1=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(N, d(2, d(1, M1)))))))), C1))), d(N, T))))), C1)), I1)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, D)))), d(B1, d(M, d(d(2, d(1, d(2, d(S, J1)))), C1)))))), d(B1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), J1)))), C1))))), Z1=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(O, d(T, C2))))))), C1))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(B, C2))))), C1)))), C1)))))), C1)), I1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(O, d(T, I1))))))), C1))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(B, I1))))), C1)))), C1)))))), C1)), I1)), W=d(d(D, H), H), D2=d(C, d(d(D, d(d(2, d(1, d(F, E2))), E)), d(d(2, d(1, I)), d(F, d(H, E2))))), C2=d(C, d(d(D, d(Z, d(F, F2))), d(d(2, d(1, d(F, d(H, F2)))), S1))), R1=d(V1, d(1, d(H, B2))), E2=d(V1, d(1, Y1)), A1=d(V1, d(1, B2)), T1=d(V1, I1), G=d(V1, d(B, d(U, d(B, O1)))), L=d(V1, d(B, d(U, d(B, D2)))), U1=d(V1, O1), K=d(V1, D2), F2=d(V1, d(C, d(d(D, d(d(2, d(1, X1)), W1)), d(d(2, d(1, Q1)), Y))))]).
mm_proof(xor3, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, F))), d(C, d(A, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, d(2, C))), N=d(2, d(1, C)), O=d(2, d(1, d(C, d(A, d(d(B, d(P, d(C, Q))), d(d(2, d(1, d(C, d(A, Q)))), d(C, d(A, R)))))))), S=d(2, d(1, T)), P=d(2, d(1, d(C, R))), U=d(2, d(1, d(C, V))), W=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, X))))), d(1, Y)))), Z=d(2, d(I, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, A1))))), X))), E1=d(d(2, 1), 1), F1=d(G, 1), X=d(G, E1), G1=d(G, H1), C1=d(I, X), B=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), G1)))), X))), Y=d(d(2, d(1, d(2, E1))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E1)))), G1)))), X), C=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, D1)), d(C, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(1, K1)), C1), K1=d(d(2, d(I, d(d(2, d(1, d(2, C1))), E1))), E1), K=d(Z, E1), L1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(M, X)))))), X))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, F1)))), X))), 1)))), X))))), X)), E1), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), X))), I1)))), X)), E1), M1=d(C, d(A, N1)), O1=d(C, d(A, P1)), Q1=d(C, d(A, V)), T=d(C, d(A, R1)), S1=d(C, d(A, T1)), U1=d(C, N1), V1=d(C, W1), X1=d(C, P1), Y1=d(C, R1), Z1=d(C, T1), J1=d(K1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), X))), E1))), d(3, d(Z, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, G1)))), X)))))), X)))))), G1)))), X))), E1))))), F=d(A, E), A2=d(A, W1), B2=d(A, d(d(B, d(M1, d(d(B, d(U, Y1)), d(S, Q1)))), d(M1, d(d(B, d(d(2, d(1, X1)), Y1)), d(S, O1))))), Q=d(d(B, d(d(2, d(1, d(C, B2))), V1)), d(d(2, d(1, d(C, A2))), d(C, d(A, B2)))), E=d(d(B, K), H1), N1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, I1)))))))), X))), d(H, N))))), X)), E1)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(W, d(G, d(d(2, d(1, d(2, d(M, F1)))), X)))))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), X))))), W1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, C2))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(P, C2))))), X)))), X)))))), X)), E1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, E1))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(P, E1))))), X)))), X)))))), X)), E1)), R=d(d(B, A), A), D2=d(M1, d(d(B, d(d(2, d(1, d(C, E2))), Z1)), d(d(2, d(1, S1)), d(C, d(A, E2))))), C2=d(M1, d(d(B, d(U, d(C, F2))), d(d(2, d(1, d(C, d(A, F2)))), Q1))), P1=d(U1, d(1, F)), E2=d(U1, d(1, A2)), V=d(U1, d(1, E)), R1=d(U1, E1), G2=d(U1, d(P, d(O, d(P, L1)))), H2=d(U1, d(P, d(O, d(P, D2)))), T1=d(U1, L1), I2=d(U1, D2), F2=d(U1, d(M1, d(d(B, d(d(2, d(1, Y1)), X1)), d(d(2, d(1, O1)), T)))), D=d(V1, d(A, d(K1, d(d(2, d(1, d(P, d(M1, d(d(B, d(d(2, d(1, Z1)), d(C, G2))), d(d(2, d(1, d(C, d(A, G2)))), S1)))))), d(3, d(Z, d(P, d(M1, d(d(B, d(d(2, d(1, d(C, I2))), d(C, H2))), d(d(2, d(1, d(C, d(A, H2)))), d(C, d(A, I2))))))))))))]).
mm_proof(nbbn, d(d(A, d(d(2, d(1, d(B, C))), D)), d(d(2, d(1, d(B, d(E, F)))), d(B, d(E, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, d(2, B))), N=d(2, d(1, B)), O=d(2, d(1, P)), Q=d(2, d(1, R)), S=d(2, d(1, d(B, T))), U=d(2, d(1, d(B, V))), W=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, X))))), d(1, Y)))), Z=d(2, d(I, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, A1))))), X))), E1=d(d(2, 1), 1), F1=d(G, 1), X=d(G, E1), G1=d(G, H1), C1=d(I, X), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), G1)))), X))), Y=d(d(2, d(1, d(2, E1))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E1)))), G1)))), X), B=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, D1)), d(B, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(1, K1)), C1), K1=d(d(2, d(I, d(d(2, d(1, d(2, C1))), E1))), E1), K=d(Z, E1), L1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(M, X)))))), X))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, F1)))), X))), 1)))), X))))), X)), E1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), X))), I1)))), X)), E1), P=d(B, d(E, M1)), N1=d(B, d(E, O1)), D=d(B, F), P1=d(B, d(E, Q1)), R1=d(B, d(E, V)), R=d(B, d(E, S1)), T1=d(B, d(E, U1)), V1=d(B, O1), W1=d(B, X1), Y1=d(B, Q1), Z1=d(B, S1), A2=d(B, U1), J1=d(K1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), X))), E1))), d(3, d(Z, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, G1)))), X)))))), X)))))), G1)))), X))), E1))))), C=d(E, d(d(A, d(d(2, d(1, d(B, M1))), d(B, B2))), d(d(2, d(1, d(B, d(E, B2)))), P))), B2=d(E, d(d(A, d(d(2, d(1, d(B, C2))), d(B, D2))), d(d(2, d(1, d(B, E2))), d(B, d(E, C2))))), E2=d(E, D2), F2=d(E, X1), F=d(E, T), G2=d(E, d(d(A, d(N1, d(d(A, d(U, Z1)), d(Q, R1)))), d(N1, d(d(A, d(d(2, d(1, Y1)), Z1)), d(Q, P1))))), H2=d(d(A, d(d(2, d(1, d(B, G2))), W1)), d(d(2, d(1, d(B, F2))), d(B, d(E, G2)))), M1=d(d(A, d(S, d(B, H2))), d(d(2, d(1, d(B, d(E, H2)))), D)), D2=d(d(A, K), H1), O1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, I1)))))))), X))), d(H, N))))), X)), E1)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(W, d(G, d(d(2, d(1, d(2, d(M, F1)))), X)))))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), X))))), X1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, I2))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(S, I2))))), X)))), X)))))), X)), E1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, E1))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(S, E1))))), X)))), X)))))), X)), E1)), T=d(d(A, E), E), J2=d(N1, d(d(A, d(d(2, d(1, d(B, K2))), A2)), d(d(2, d(1, T1)), d(B, d(E, K2))))), I2=d(N1, d(d(A, d(U, d(B, L2))), d(d(2, d(1, d(B, d(E, L2)))), R1))), Q1=d(V1, d(1, E2)), K2=d(V1, d(1, F2)), V=d(V1, d(1, D2)), S1=d(V1, E1), M2=d(V1, d(S, d(O, d(S, L1)))), N2=d(V1, d(S, d(O, d(S, J2)))), U1=d(V1, L1), O2=d(V1, J2), L2=d(V1, d(N1, d(d(A, d(d(2, d(1, Z1)), Y1)), d(d(2, d(1, P1)), R)))), C2=d(W1, d(E, d(K1, d(d(2, d(1, d(S, d(N1, d(d(A, d(d(2, d(1, A2)), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), T1)))))), d(3, d(Z, d(S, d(N1, d(d(A, d(d(2, d(1, d(B, O2))), d(B, N2))), d(d(2, d(1, d(B, d(E, N2)))), d(B, d(E, O2))))))))))))]).
mm_proof(biass, d(A, d(d(2, d(1, d(B, d(d(C, d(D, d(E, F))), d(d(2, d(1, d(E, d(G, F)))), H))))), d(3, d(I, d(B, d(d(C, d(J, d(E, K))), d(d(2, d(1, d(E, d(G, K)))), L)))))))-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, C))), S=d(2, d(1, d(2, E))), T=d(2, d(1, E)), U=d(2, d(1, V)), W=d(2, d(1, B)), X=d(2, d(1, d(E, d(G, Y)))), Z=d(2, d(1, A1)), B1=d(2, d(1, d(E, C1))), D1=d(2, d(1, d(E, E1))), F1=d(2, d(1, d(E, G1))), D=d(2, d(1, H1)), J=d(2, d(1, d(E, I1))), J1=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, K1))))), d(1, L1)))), I=d(2, d(O, M1)), N1=d(3, d(I, O1)), P1=d(3, d(I, d(d(2, d(1, d(2, d(O, d(P, M1))))), K1))), Q1=d(d(2, 1), 1), R1=d(M, 1), K1=d(M, Q1), S1=d(M, T1), O1=d(O, K1), C=d(d(2, d(1, d(2, d(1, d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), S1)))), K1))), L1=d(d(2, d(1, d(2, Q1))), K1), M1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q1)))), S1)))), K1), E=d(d(2, d(1, N1)), d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U1=d(d(2, d(1, P1)), d(E, d(d(3, d(3, d(1, V1))), V1))), T1=d(d(2, d(1, A)), O1), A=d(d(2, d(O, d(d(2, d(1, d(2, O1))), Q1))), Q1), Q=d(I, Q1), W1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(S, K1)))))), K1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, R1)))), K1))), 1)))), K1))))), K1)), Q1), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, E))))), K1))), U1)))), K1)), Q1), X1=d(E, d(G, Y1)), V=d(E, d(G, Z1)), B=d(E, Y1), A2=d(E, B2), C2=d(E, d(G, D2)), E2=d(E, d(G, E1)), F2=d(E, d(G, G1)), A1=d(E, d(G, G2)), H=d(E, H2), L=d(E, I2), J2=d(E, K2), L2=d(E, M2), N2=d(E, D2), O2=d(E, Y), P2=d(E, G2), H1=d(E, Q2), V1=d(A, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S1)))), K1))), Q1))), d(3, d(I, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, S1)))), K1)))))), K1)))))), S1)))), K1))), Q1))))), R2=d(G, d(d(C, d(d(2, d(1, d(E, Z1))), d(E, S2))), d(d(2, d(1, d(E, d(G, S2)))), V))), S2=d(G, d(d(C, d(d(2, d(1, d(E, T2))), d(E, U2))), d(d(2, d(1, d(E, V2))), d(E, d(G, T2))))), V2=d(G, U2), Y1=d(G, K2), W2=d(G, M2), B2=d(G, C1), X2=d(G, d(d(C, d(B, d(d(C, d(F1, P2)), d(Z, F2)))), d(B, d(d(C, d(d(2, d(1, N2)), P2)), d(Z, C2))))), H2=d(G, Q2), I2=d(G, I1), Y2=d(d(C, d(W, d(E, Z2))), d(d(2, d(1, d(E, d(G, Z2)))), X1)), A3=d(d(C, d(W, d(E, B3))), d(d(2, d(1, d(E, d(G, B3)))), X1)), C3=d(d(C, d(d(2, d(1, d(E, X2))), L2)), d(d(2, d(1, d(E, W2))), d(E, d(G, X2)))), Z1=d(d(C, d(B1, d(E, C3))), d(d(2, d(1, d(E, d(G, C3)))), A2)), U2=d(d(C, Q), T1), K2=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(N, d(2, d(1, U1)))))))), K1))), d(N, T))))), K1)), Q1)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, C)))), d(J1, d(M, d(d(2, d(1, d(2, d(S, R1)))), K1)))))), d(J1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), R1)))), K1))))), M2=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(O, d(T, D3))))))), K1))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(B1, D3))))), K1)))), K1)))))), K1)), Q1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(O, d(T, Q1))))))), K1))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(B1, Q1))))), K1)))), K1)))))), K1)), Q1)), C1=d(d(C, G), G), Z2=d(d(C, d(B, d(d(C, d(d(2, d(1, d(E, E3))), P2)), d(Z, d(E, d(G, E3)))))), d(B, d(d(C, d(d(2, d(1, d(E, F3))), P2)), d(Z, d(E, d(G, F3)))))), B3=d(d(C, d(B, d(d(C, d(d(2, d(1, d(E, G3))), P2)), d(Z, d(E, d(G, G3)))))), d(B, d(d(C, d(d(2, d(1, d(E, H3))), P2)), d(Z, d(E, d(G, H3)))))), I3=d(B, d(d(C, d(d(2, d(1, d(E, J3))), H1)), d(d(2, d(1, H)), d(E, d(G, J3))))), D3=d(B, d(d(C, d(F1, d(E, K3))), d(d(2, d(1, d(E, d(G, K3)))), F2))), L3=d(J2, d(1, d(G, d(d(C, d(d(2, d(1, d(E, R2))), A2)), d(d(2, d(1, d(E, d(G, B2)))), d(E, d(G, R2))))))), D2=d(J2, d(1, V2)), J3=d(J2, d(1, W2)), E1=d(J2, d(1, B2)), F3=d(J2, d(1, H2)), H3=d(J2, d(1, I2)), G1=d(J2, d(1, U2)), Y=d(J2, d(1, C1)), E3=d(J2, d(1, Q2)), G3=d(J2, d(1, I1)), G2=d(J2, Q1), M3=d(J2, d(B1, d(U, d(B1, W1)))), N3=d(J2, d(B1, d(U, d(B1, I3)))), F=d(J2, d(B1, d(B, d(d(C, d(D1, d(E, O3))), d(d(2, d(1, d(E, d(G, O3)))), E2))))), K=d(J2, d(B1, d(B, d(d(C, d(d(2, d(1, d(E, P3))), d(E, L3))), d(d(2, d(1, d(E, d(G, L3)))), d(E, d(G, P3))))))), Q2=d(J2, W1), Q3=d(J2, d(B, d(d(C, d(d(2, d(1, d(E, Y2))), J2)), d(W, d(E, d(G, Y2)))))), R3=d(J2, d(B, d(d(C, d(d(2, d(1, d(E, A3))), J2)), d(W, d(E, d(G, A3)))))), I1=d(J2, I3), P3=d(J2, d(B, d(d(C, d(D1, d(E, S3))), d(d(2, d(1, d(E, d(G, S3)))), E2)))), K3=d(J2, d(B, d(d(C, d(d(2, d(1, P2)), N2)), d(d(2, d(1, C2)), A1)))), O3=d(J2, d(B, d(d(C, d(d(2, d(1, d(E, Q3))), O2)), d(X, d(E, d(G, Q3)))))), S3=d(J2, d(B, d(d(C, d(d(2, d(1, d(E, R3))), O2)), d(X, d(E, d(G, R3)))))), T2=d(L2, d(G, d(A, d(d(2, d(1, d(B1, d(B, d(d(C, d(D, d(E, M3))), d(d(2, d(1, d(E, d(G, M3)))), H)))))), d(3, d(I, d(B1, d(B, d(d(C, d(J, d(E, N3))), d(d(2, d(1, d(E, d(G, N3)))), L))))))))))]).
mm_proof(biluk, d(d(A, d(d(2, d(1, B)), d(C, D))), d(d(2, d(1, d(C, d(E, D)))), d(C, d(E, F))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, d(2, C))), N=d(2, d(1, C)), O=d(2, d(1, P)), Q=d(2, d(1, R)), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(1, d(C, Z))), A1=d(2, d(1, d(C, B1))), C1=d(2, d(1, D1)), E1=d(2, d(1, d(C, F1))), G1=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, H1))))), d(1, I1)))), J1=d(2, d(I, K1)), L1=d(3, d(J1, M1)), N1=d(3, d(J1, d(d(2, d(1, d(2, d(I, d(J, K1))))), H1))), O1=d(d(2, 1), 1), P1=d(G, 1), H1=d(G, O1), Q1=d(G, R1), M1=d(I, H1), A=d(d(2, d(1, d(2, d(1, d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), Q1)))), H1))), I1=d(d(2, d(1, d(2, O1))), H1), K1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O1)))), Q1)))), H1), C=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(d(2, d(1, N1)), d(C, d(d(3, d(3, d(1, T1))), T1))), R1=d(d(2, d(1, U1)), M1), U1=d(d(2, d(I, d(d(2, d(1, d(2, M1))), O1))), O1), K=d(J1, O1), V1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(M, H1)))))), H1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, P1)))), H1))), 1)))), H1))))), H1)), O1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), H1))), S1)))), H1)), O1), W1=d(C, X1), B=d(C, F), Y1=d(C, d(E, Z1)), P=d(C, d(E, A2)), R=d(C, Z1), B2=d(C, C2), D2=d(C, d(E, E2)), F2=d(C, d(E, Z)), G2=d(C, d(E, B1)), T=d(C, d(E, H2)), V=d(C, d(E, I2)), J2=d(C, K2), L2=d(C, M2), N2=d(C, O2), P2=d(C, Q2), X=d(C, R2), S2=d(C, E2), T2=d(C, H2), U2=d(C, I2), D1=d(C, V2), T1=d(U1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q1)))), H1))), O1))), d(3, d(J1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Q1)))), H1)))))), H1)))))), Q1)))), H1))), O1))))), X1=d(U1, d(d(2, d(1, d(R, d(d(A, d(C1, d(C, W2))), d(d(2, d(1, d(C, d(E, W2)))), J2))))), d(3, d(J1, d(R, d(d(A, d(E1, d(C, X2))), d(d(2, d(1, d(C, d(E, X2)))), L2))))))), F=d(E, X1), Y2=d(E, d(d(A, d(d(2, d(1, d(C, A2))), d(C, Z2))), d(d(2, d(1, d(C, d(E, Z2)))), P))), Z2=d(E, d(d(A, d(d(2, d(1, d(C, A3))), d(C, B3))), d(d(2, d(1, d(C, C3))), d(C, d(E, A3))))), C3=d(E, B3), Z1=d(E, O2), D3=d(E, Q2), C2=d(E, R2), E3=d(E, d(d(A, d(R, d(d(A, d(A1, U2)), d(U, G2)))), d(R, d(d(A, d(d(2, d(1, S2)), U2)), d(U, D2))))), K2=d(E, V2), M2=d(E, F1), F3=d(d(A, d(Q, d(C, G3))), d(d(2, d(1, d(C, d(E, G3)))), Y1)), H3=d(d(A, d(Q, d(C, I3))), d(d(2, d(1, d(C, d(E, I3)))), Y1)), J3=d(d(A, d(d(2, d(1, d(C, E3))), P2)), d(d(2, d(1, d(C, D3))), d(C, d(E, E3)))), K3=d(d(A, d(d(2, d(1, d(C, L3))), X)), d(d(2, d(1, B2)), d(C, d(E, L3)))), A2=d(d(A, d(W, d(C, J3))), d(d(2, d(1, d(C, d(E, J3)))), B2)), L3=d(d(A, d(W, d(C, M3))), d(d(2, d(1, d(C, d(E, M3)))), B2)), B3=d(d(A, K), R1), O2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, S1)))))))), H1))), d(H, N))))), H1)), O1)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(G1, d(G, d(d(2, d(1, d(2, d(M, P1)))), H1)))))), d(G1, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S1))), P1)))), H1))))), Q2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, N3))))))), H1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(W, N3))))), H1)))), H1)))))), H1)), O1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, O1))))))), H1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(W, O1))))), H1)))), H1)))))), H1)), O1)), R2=d(d(A, E), E), M3=d(d(A, d(R, d(d(A, d(d(2, d(1, T2)), U2)), d(U, T)))), d(R, d(d(A, d(Y, U2)), d(U, F2)))), G3=d(d(A, d(R, d(d(A, d(d(2, d(1, d(C, O3))), U2)), d(U, d(C, d(E, O3)))))), d(R, d(d(A, d(d(2, d(1, d(C, P3))), U2)), d(U, d(C, d(E, P3)))))), I3=d(d(A, d(R, d(d(A, d(d(2, d(1, d(C, Q3))), U2)), d(U, d(C, d(E, Q3)))))), d(R, d(d(A, d(d(2, d(1, d(C, R3))), U2)), d(U, d(C, d(E, R3)))))), D=d(W1, d(d(A, d(d(2, d(1, W1)), d(C, K3))), d(d(2, d(1, d(C, d(E, K3)))), B))), S3=d(R, d(d(A, d(d(2, d(1, d(C, T3))), D1)), d(d(2, d(1, J2)), d(C, d(E, T3))))), N3=d(R, d(d(A, d(A1, d(C, U3))), d(d(2, d(1, d(C, d(E, U3)))), G2))), V3=d(N2, d(1, d(E, d(d(A, d(d(2, d(1, d(C, Y2))), B2)), d(d(2, d(1, d(C, d(E, C2)))), d(C, d(E, Y2))))))), E2=d(N2, d(1, C3)), T3=d(N2, d(1, D3)), Z=d(N2, d(1, C2)), P3=d(N2, d(1, K2)), R3=d(N2, d(1, M2)), B1=d(N2, d(1, B3)), H2=d(N2, d(1, R2)), O3=d(N2, d(1, V2)), Q3=d(N2, d(1, F1)), I2=d(N2, O1), W3=d(N2, d(W, d(O, d(W, V1)))), X3=d(N2, d(W, d(O, d(W, S3)))), W2=d(N2, d(W, d(R, d(d(A, d(Y, d(C, Y3))), d(d(2, d(1, d(C, d(E, Y3)))), F2))))), X2=d(N2, d(W, d(R, d(d(A, d(d(2, d(1, d(C, Z3))), d(C, V3))), d(d(2, d(1, d(C, d(E, V3)))), d(C, d(E, Z3))))))), V2=d(N2, V1), A4=d(N2, d(R, d(d(A, d(d(2, d(1, d(C, F3))), N2)), d(Q, d(C, d(E, F3)))))), B4=d(N2, d(R, d(d(A, d(d(2, d(1, d(C, H3))), N2)), d(Q, d(C, d(E, H3)))))), F1=d(N2, S3), Z3=d(N2, d(R, d(d(A, d(Y, d(C, C4))), d(d(2, d(1, d(C, d(E, C4)))), F2)))), U3=d(N2, d(R, d(d(A, d(d(2, d(1, U2)), S2)), d(d(2, d(1, D2)), V)))), Y3=d(N2, d(R, d(d(A, d(d(2, d(1, d(C, A4))), T2)), d(S, d(C, d(E, A4)))))), C4=d(N2, d(R, d(d(A, d(d(2, d(1, d(C, B4))), T2)), d(S, d(C, d(E, B4)))))), A3=d(P2, d(E, d(U1, d(d(2, d(1, d(W, d(R, d(d(A, d(C1, d(C, W3))), d(d(2, d(1, d(C, d(E, W3)))), J2)))))), d(3, d(J1, d(W, d(R, d(d(A, d(E1, d(C, X3))), d(d(2, d(1, d(C, d(E, X3)))), L2))))))))))]).
mm_proof('pm5.19', d(d(A, d(B, d(d(2, d(1, d(C, d(D, d(d(E, d(d(2, d(1, F)), d(A, G))), d(d(2, d(1, d(A, d(H, G)))), I)))))), d(3, d(J, d(C, d(D, d(d(E, d(d(2, d(1, d(A, K))), d(A, L))), d(d(2, d(1, d(A, d(H, L)))), d(A, d(H, K))))))))))), d(d(E, M), M))-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, R)))), S=d(2, d(1, d(2, E))), T=d(2, d(1, d(2, A))), U=d(2, d(1, A)), V=d(2, d(1, d(A, d(H, d(d(E, d(C, d(A, W))), d(d(2, d(1, d(A, d(H, W)))), d(A, d(H, X)))))))), Y=d(2, d(1, Z)), C=d(2, d(1, d(A, X))), A1=d(2, d(1, d(A, B1))), C1=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, D1))))), d(1, E1)))), J=d(2, d(P, F1)), G1=d(3, d(J, H1)), I1=d(3, d(J, d(d(2, d(1, d(2, d(P, d(Q, F1))))), D1))), M=d(d(2, 1), 1), J1=d(N, 1), D1=d(N, M), K1=d(N, L1), H1=d(P, D1), E=d(d(2, d(1, d(2, d(1, d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), K1)))), D1))), E1=d(d(2, d(1, d(2, M))), D1), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), K1)))), D1), A=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(1, I1)), d(A, d(d(3, d(3, d(1, N1))), N1))), L1=d(d(2, d(1, B)), H1), B=d(d(2, d(P, d(d(2, d(1, d(2, H1))), M))), M), R=d(J, M), O1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(N, d(T, D1)))))), D1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, J1)))), D1))), 1)))), D1))))), D1)), M), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(N, A))))), D1))), M1)))), D1)), M), D=d(A, d(H, P1)), Q1=d(A, d(H, R1)), S1=d(A, d(H, B1)), Z=d(A, d(H, T1)), I=d(A, d(H, U1)), V1=d(A, P1), W1=d(A, R1), X1=d(A, T1), F=d(A, U1), N1=d(B, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1)))), D1))), M))), d(3, d(J, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(S, K1)))), D1)))))), D1)))))), K1)))), D1))), M))))), Y1=d(H, Z1), A2=d(H, d(d(E, d(D, d(d(E, d(A1, X1)), d(Y, S1)))), d(D, d(d(E, d(d(2, d(1, W1)), X1)), d(Y, Q1))))), W=d(d(E, d(d(2, d(1, d(A, A2))), d(A, Z1))), d(d(2, d(1, d(A, Y1))), d(A, d(H, A2)))), B2=d(d(E, R), L1), P1=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(N, d(O, d(2, d(1, M1)))))))), D1))), d(O, U))))), D1)), M)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, E)))), d(C1, d(N, d(d(2, d(1, d(2, d(T, J1)))), D1)))))), d(C1, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), J1)))), D1))))), Z1=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(N, d(P, d(U, C2))))))), D1))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(C, C2))))), D1)))), D1)))))), D1)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(N, d(P, d(U, M))))))), D1))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(C, M))))), D1)))), D1)))))), D1)), M)), X=d(d(E, H), H), D2=d(D, d(d(E, d(d(2, d(1, d(A, E2))), F)), d(d(2, d(1, I)), d(A, d(H, E2))))), C2=d(D, d(d(E, d(A1, d(A, F2))), d(d(2, d(1, d(A, d(H, F2)))), S1))), R1=d(V1, d(1, d(H, B2))), E2=d(V1, d(1, Y1)), B1=d(V1, d(1, B2)), T1=d(V1, M), G=d(V1, d(C, d(V, d(C, O1)))), L=d(V1, d(C, d(V, d(C, D2)))), U1=d(V1, O1), K=d(V1, D2), F2=d(V1, d(D, d(d(E, d(d(2, d(1, X1)), W1)), d(d(2, d(1, Q1)), Z))))]).
mm_proof('bi2.04', d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), E))), H), H)-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), B=d(2, d(1, 3)), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(I, C), G=d(I, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, K))), C))), C))), K)), K=d(B, E), F=d(d(2, d(1, d(2, C))), E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), G)))), E), H=d(d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, E))))), d(1, F)))), E)]).
mm_proof('pm5.4', d(d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(2, d(1, F)))))))), G))), d(E, d(2, d(1, A))))))), G)), H)), d(d(2, d(E, d(d(2, d(1, d(2, d(1, B)))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), G)))))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), J)))), G)))))), d(K, d(K, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, L))))), G))), M)))), G)), H))))-[L=d(1, 1), D=d(2, L), E=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, H))))), C=d(2, d(1, d(2, B))), K=d(2, d(1, d(A, d(d(B, Q), Q)))), I=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, G))))), d(1, M)))), P=d(2, d(N, R)), S=d(3, d(P, T)), U=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, R))))), G))), H=d(d(2, 1), 1), J=d(D, 1), G=d(D, H), V=d(D, d(d(2, d(1, W)), T)), T=d(N, G), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), V)))), G))), M=d(d(2, d(1, d(2, H))), G), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), V)))), G), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, X))), X))), W=d(d(2, d(N, d(d(2, d(1, d(2, T))), H))), H), Q=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, A))))), G))), F)))), G)), H), X=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), G))), H))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(C, V)))), G)))))), G)))))), V)))), G))), H)))))]).
mm_proof(imdi, d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), E))), 2), d(d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, E))))), d(1, F)))), d(I, d(d(2, d(1, d(2, d(J, d(I, 1))))), E))))-[I=d(2, d(1, 1)), H=d(2, d(1, 2)), B=d(2, d(1, 3)), J=d(2, d(1, d(2, C))), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(I, C), G=d(I, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, K))), C))), C))), K)), K=d(B, E), F=d(J, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), G)))), E)]).
mm_proof('pm5.41', d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, C))))), D))), d(d(2, d(1, E)), d(C, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(H, 2), d(d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, D))))), d(1, J)))), d(B, d(d(2, d(1, d(2, d(K, d(B, 1))))), D)))))-[B=d(2, d(1, 1)), I=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, G))))), K=d(2, d(1, d(2, G))), A=d(2, d(1, d(2, H))), N=d(2, d(L, O)), P=d(3, d(N, Q)), E=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, O))))), D))), G=d(d(2, 1), 1), D=d(B, G), R=d(B, d(d(2, d(1, S)), Q)), Q=d(L, D), H=d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), R)))), D))), J=d(K, D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), R)))), D), C=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(L, d(d(2, d(1, d(2, Q))), G))), G), F=d(S, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), D))), G))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(A, R)))), D)))))), D)))))), R)))), D))), G)))))]).
mm_proof(imbibi, d(d(2, d(1, A)), d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D))))))-[G=d(1, 1), H=d(2, G), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, B))), O=d(2, d(1, d(C, d(d(B, F), F)))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), B=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q))), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), X)))), Q), C=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, V)), d(C, d(d(3, d(3, d(1, A1))), A1))), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, C))))), Q))), Z)))), Q)), M), A=d(C, d(F, B1)), C1=d(C, B1), A1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), B1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, Z)))))))), Q))), d(I, d(2, d(1, C))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), Q))))), E=d(C1, d(1, d(F, d(C1, d(O, d(O, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, G))))), Q))), R)))), Q)), M))))))), D=d(C1, d(d(2, d(1, C1)), Q))]).
mm_proof('pm4.8', d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), G)))), E))), d(d(2, d(B, d(H, d(d(2, d(d(2, d(1, 2)), d(I, J))), d(B, d(C, K)))))), F)), 1)-[K=d(1, F), I=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, F))))), H=d(2, d(1, d(2, L))), J=d(2, K), A=d(2, d(B, D)), F=d(d(2, 1), 1), E=d(I, F), G=d(I, d(d(2, d(1, d(d(2, d(B, d(H, F))), F))), L)), L=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, J)), G)))), E)]).
mm_proof('pm4.81', d(d(d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), D))))), E))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E)))), F)))), E))), G), d(H, E))-[I=d(2, d(1, 1)), B=d(2, d(1, 3)), H=d(2, d(1, d(2, J))), A=d(2, d(B, D)), C=d(d(2, 1), 1), E=d(I, C), F=d(I, d(d(2, d(1, G)), J)), J=d(B, E), D=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), F)))), E), G=d(d(2, d(B, d(H, C))), C)]).
mm_proof(imim21b, d(d(A, d(B, C)), d(d(D, d(d(2, d(1, d(A, E))), d(A, F))), d(d(2, d(1, d(A, d(B, F)))), d(A, d(B, E)))))-[G=d(1, 1), H=d(1, I), J=d(2, G), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, N))))), O=d(2, d(1, d(2, d(1, d(P, I))))), Q=d(2, d(1, d(2, D))), R=d(2, d(1, A)), S=d(2, d(1, d(A, d(d(D, B), B)))), T=d(2, d(K, d(M, d(1, U)))), V=d(2, d(K, d(M, d(K, d(J, H))))), P=d(2, d(L, W)), X=d(3, d(P, Y)), Z=d(3, d(P, d(d(2, d(1, d(2, d(L, d(O, W))))), N))), I=d(d(2, 1), 1), A1=d(J, 1), N=d(J, I), B1=d(J, d(d(2, d(1, C1)), Y)), Y=d(L, N), D=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), B1)))), N))), U=d(d(2, d(1, d(2, I))), N), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), B1)))), N), A=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, Z)), d(A, d(d(3, d(3, d(1, E1))), E1))), F1=d(S, d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, G))))), N))), U)))), N)), I))), G1=d(T, N), C1=d(d(2, d(L, d(d(2, d(1, d(2, Y))), I))), I), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, A))))), N))), D1)))), N)), I), H1=d(A, C), E1=d(C1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), N))), I))), d(3, d(P, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(L, d(O, d(d(2, d(1, d(2, d(Q, B1)))), N)))))), N)))))), B1)))), N))), I))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(K, d(2, d(1, D1)))))))), N))), d(K, R))))), N)), I)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, D)))), d(T, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), A1)))), N)))))), d(T, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), A1)))), N))))), F=d(H1, d(1, d(d(D, G1), G1))), E=d(H1, d(d(2, d(1, H1)), d(2, d(1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(V, d(J, d(R, F1)))))))), N))), d(V, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(S, F1))))), N)))), N))))))), N)), I)))))]).
mm_proof('pm4.63', d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, C))))), D))), d(d(2, d(1, E)), d(C, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))-[B=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(B, G), K=d(B, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), C=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(A, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof('pm4.67', d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, C))))), D))), d(d(2, d(1, E)), d(C, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))-[B=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(B, G), K=d(B, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), C=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(A, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(imnan, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, E))), d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, B)), N=d(2, d(1, d(B, d(d(A, F), F)))), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), R=d(2, d(I, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(I, d(J, S))))), P))), W=d(d(2, 1), 1), X=d(G, 1), P=d(G, W), Y=d(G, Z), U=d(I, P), A=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), Y)))), P))), Q=d(d(2, d(1, d(2, W))), P), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Y)))), P), B=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(B, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(1, C1)), U), C1=d(d(2, d(I, d(d(2, d(1, d(2, U))), W))), W), K=d(R, W), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), P))), A1)))), P)), W), D1=d(B, d(F, E1)), F1=d(B, E1), B1=d(C1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), P))), W))), d(3, d(R, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Y)))), P)))))), P)))))), Y)))), P))), W))))), E=d(F, D), D=d(d(A, K), Z), E1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, M))))), P)), W)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), P))))), G1=d(D1, d(d(A, d(d(2, d(1, d(B, H1))), d(B, I1))), d(d(2, d(1, d(B, d(F, I1)))), d(B, d(F, H1))))), J1=d(F1, d(1, E)), H1=d(F1, d(1, D)), K1=d(F1, W), I1=d(F1, d(D1, d(d(A, d(d(2, d(1, d(B, K1))), d(B, J1))), d(d(2, d(1, d(B, d(F, J1)))), d(B, d(F, K1)))))), C=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, G1))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, G1))))), P)))), P)))))), P)), W)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, W))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, W))))), P)))), P)))))), P)), W))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(imnani, d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(d(2, d(1, d(A, F))), d(A, d(B, D))))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, C))), M=d(2, d(1, A)), N=d(2, d(1, d(A, d(d(C, B), B)))), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), R=d(2, d(I, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(I, d(J, S))))), P))), W=d(d(2, 1), 1), X=d(G, 1), P=d(G, W), Y=d(G, Z), U=d(I, P), C=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), Y)))), P))), Q=d(d(2, d(1, d(2, W))), P), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Y)))), P), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(1, C1)), U), C1=d(d(2, d(I, d(d(2, d(1, d(2, U))), W))), W), K=d(R, W), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, A))))), P))), A1)))), P)), W), D1=d(A, d(B, E1)), F1=d(A, E1), B1=d(C1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), P))), W))), d(3, d(R, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Y)))), P)))))), P)))))), Y)))), P))), W))))), F=d(B, E), E=d(d(C, K), Z), E1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, M))))), P)), W)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), P))))), G1=d(D1, d(d(C, d(d(2, d(1, d(A, H1))), d(A, I1))), d(d(2, d(1, d(A, d(B, I1)))), d(A, d(B, H1))))), J1=d(F1, d(1, F)), H1=d(F1, d(1, E)), K1=d(F1, W), I1=d(F1, d(D1, d(d(C, d(d(2, d(1, d(A, K1))), d(A, J1))), d(d(2, d(1, d(A, d(B, J1)))), d(A, d(B, K1)))))), D=d(d(A, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, G1))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, G1))))), P)))), P)))))), P)), W)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, W))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, W))))), P)))), P)))))), P)), W))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(iman, d(d(A, d(d(2, d(1, d(B, C))), D)), d(d(2, d(1, E)), d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, B)), N=d(2, d(1, d(B, d(d(A, F), F)))), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), R=d(2, d(I, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(I, d(J, S))))), P))), W=d(d(2, 1), 1), X=d(G, 1), P=d(G, W), Y=d(G, Z), U=d(I, P), A=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), Y)))), P))), Q=d(d(2, d(1, d(2, W))), P), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Y)))), P), B=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(B, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(1, C1)), U), C1=d(d(2, d(I, d(d(2, d(1, d(2, U))), W))), W), K=d(R, W), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), P))), A1)))), P)), W), D1=d(B, d(F, E1)), E=d(B, d(F, F1)), G1=d(B, E1), D=d(B, F1), B1=d(C1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), P))), W))), d(3, d(R, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Y)))), P)))))), P)))))), Y)))), P))), W))))), H1=d(F, I1), C=d(d(A, d(d(2, d(1, d(B, J1))), d(B, I1))), d(d(2, d(1, d(B, H1))), d(B, d(F, J1)))), I1=d(d(A, K), Z), E1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, M))))), P)), W)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), P))))), K1=d(D1, d(d(A, d(d(2, d(1, D)), d(B, L1))), d(d(2, d(1, d(B, d(F, L1)))), E))), M1=d(G1, d(1, H1)), F1=d(G1, d(1, I1)), N1=d(G1, W), L1=d(G1, d(D1, d(d(A, d(d(2, d(1, d(B, N1))), d(B, M1))), d(d(2, d(1, d(B, d(F, M1)))), d(B, d(F, N1)))))), J1=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, K1))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, K1))))), P)))), P)))))), P)), W)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, W))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, W))))), P)))), P)))))), P)), W))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof('pm3.24', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), D)), d(d(2, d(1, E)), d(A, d(F, C))))), G)-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, B))), N=d(2, d(1, A)), O=d(2, d(1, d(A, d(d(B, F), F)))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), S=d(2, d(J, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(J, d(K, T))))), Q))), G=d(d(2, 1), 1), X=d(H, 1), Q=d(H, G), Y=d(H, Z), V=d(J, Q), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), Q))), R=d(d(2, d(1, d(2, G))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), Y)))), Q), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(1, C1)), V), C1=d(d(2, d(J, d(d(2, d(1, d(2, V))), G))), G), L=d(S, G), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, A))))), Q))), A1)))), Q)), G), D1=d(A, d(F, E1)), E=d(A, d(F, F1)), G1=d(A, E1), D=d(A, F1), B1=d(C1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), Q))), G))), d(3, d(S, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, Y)))), Q)))))), Q)))))), Y)))), Q))), G))))), H1=d(F, I1), C=d(d(B, d(d(2, d(1, d(A, J1))), d(A, I1))), d(d(2, d(1, d(A, H1))), d(A, d(F, J1)))), I1=d(d(B, L), Z), E1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, A1)))))))), Q))), d(I, N))))), Q)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), Q))))), K1=d(D1, d(d(B, d(d(2, d(1, D)), d(A, L1))), d(d(2, d(1, d(A, d(F, L1)))), E))), M1=d(G1, d(1, H1)), F1=d(G1, d(1, I1)), N1=d(G1, G), L1=d(G1, d(D1, d(d(B, d(d(2, d(1, d(A, N1))), d(A, M1))), d(d(2, d(1, d(A, d(F, M1)))), d(A, d(F, N1)))))), J1=d(d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, K1))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, K1))))), Q)))), Q)))))), Q)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, G))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, G))))), Q)))), Q)))))), Q)), G))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(annim, d(d(A, d(d(2, d(1, d(B, C))), D)), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, B)), E=d(2, d(1, d(B, N))), O=d(2, d(1, d(B, d(d(A, F), F)))), P=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q))))), d(1, R)))), S=d(2, d(I, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(I, d(J, T))))), Q))), X=d(d(2, 1), 1), Y=d(G, 1), Q=d(G, X), Z=d(G, A1), V=d(I, Q), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(I, d(d(2, d(1, d(2, V))), X))), X), K=d(S, X), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), Q))), B1)))), Q)), X), E1=d(B, d(F, F1)), G1=d(B, d(F, H1)), D=d(B, I1), J1=d(B, F1), K1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, L1))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, L1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, X))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, X))))), Q)))), Q)))))), Q)), X))), M1=d(B, H1), C1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), N=d(F, I1), N1=d(d(A, d(d(2, d(1, d(B, O1))), D)), d(E, d(B, d(F, O1)))), I1=d(d(A, K), A1), F1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, B1)))))))), Q))), d(H, M))))), Q)), X)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Y)))), Q)))))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), L1=d(E1, d(d(A, d(d(2, d(1, M1)), d(B, P1))), d(d(2, d(1, d(B, d(F, P1)))), G1))), Q1=d(J1, d(1, N)), H1=d(J1, d(1, I1)), R1=d(J1, X), P1=d(J1, d(E1, d(d(A, d(d(2, d(1, d(B, R1))), d(B, Q1))), d(d(2, d(1, d(B, d(F, Q1)))), d(B, d(F, R1)))))), O1=d(K1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C=d(K1, d(F, d(d(A, d(d(2, d(1, d(B, N1))), M1)), d(d(2, d(1, G1)), d(B, d(F, N1))))))]).
mm_proof('pm4.61', d(A, d(d(B, d(d(2, d(1, d(C, D))), E)), d(F, d(C, d(A, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, C)), F=d(2, d(1, d(C, N))), O=d(2, d(1, d(C, d(d(B, A), A)))), P=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q))))), d(1, R)))), S=d(2, d(I, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(I, d(J, T))))), Q))), X=d(d(2, 1), 1), Y=d(G, 1), Q=d(G, X), Z=d(G, A1), V=d(I, Q), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), C=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(C, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(I, d(d(2, d(1, d(2, V))), X))), X), K=d(S, X), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), Q))), B1)))), Q)), X), E1=d(C, d(A, F1)), G1=d(C, d(A, H1)), E=d(C, I1), J1=d(C, F1), K1=d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, L1))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, L1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, X))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, X))))), Q)))), Q)))))), Q)), X))), M1=d(C, H1), C1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), N=d(A, I1), N1=d(d(B, d(d(2, d(1, d(C, O1))), E)), d(F, d(C, d(A, O1)))), I1=d(d(B, K), A1), F1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, B1)))))))), Q))), d(H, M))))), Q)), X)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y)))), Q)))))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), L1=d(E1, d(d(B, d(d(2, d(1, M1)), d(C, P1))), d(d(2, d(1, d(C, d(A, P1)))), G1))), Q1=d(J1, d(1, N)), H1=d(J1, d(1, I1)), R1=d(J1, X), P1=d(J1, d(E1, d(d(B, d(d(2, d(1, d(C, R1))), d(C, Q1))), d(d(2, d(1, d(C, d(A, Q1)))), d(C, d(A, R1)))))), O1=d(K1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(K1, d(A, d(d(B, d(d(2, d(1, d(C, N1))), M1)), d(d(2, d(1, G1)), d(C, d(A, N1))))))]).
mm_proof('pm4.65', d(A, d(d(B, d(d(2, d(1, d(C, D))), E)), d(F, d(C, d(A, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, C)), F=d(2, d(1, d(C, N))), O=d(2, d(1, d(C, d(d(B, A), A)))), P=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q))))), d(1, R)))), S=d(2, d(I, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(I, d(J, T))))), Q))), X=d(d(2, 1), 1), Y=d(G, 1), Q=d(G, X), Z=d(G, A1), V=d(I, Q), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), C=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(C, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(I, d(d(2, d(1, d(2, V))), X))), X), K=d(S, X), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), Q))), B1)))), Q)), X), E1=d(C, d(A, F1)), G1=d(C, d(A, H1)), E=d(C, I1), J1=d(C, F1), K1=d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, L1))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, L1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, X))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, X))))), Q)))), Q)))))), Q)), X))), M1=d(C, H1), C1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), N=d(A, I1), N1=d(d(B, d(d(2, d(1, d(C, O1))), E)), d(F, d(C, d(A, O1)))), I1=d(d(B, K), A1), F1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, B1)))))))), Q))), d(H, M))))), Q)), X)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y)))), Q)))))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), L1=d(E1, d(d(B, d(d(2, d(1, M1)), d(C, P1))), d(d(2, d(1, d(C, d(A, P1)))), G1))), Q1=d(J1, d(1, N)), H1=d(J1, d(1, I1)), R1=d(J1, X), P1=d(J1, d(E1, d(d(B, d(d(2, d(1, d(C, R1))), d(C, Q1))), d(d(2, d(1, d(C, d(A, Q1)))), d(C, d(A, R1)))))), O1=d(K1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(K1, d(A, d(d(B, d(d(2, d(1, d(C, N1))), M1)), d(d(2, d(1, G1)), d(C, d(A, N1))))))]).
mm_proof(impcom, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), F))))), G))))), F))))))), F)))))), d(d(d(2, d(1, H)), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), G)))), F))), H=d(3, d(C, J)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), F=d(I, E), G=d(I, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, J))), E))), E))), J)), J=d(D, F)]).
mm_proof(con3dimp, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), F))))), G))))))), F))))), G))))))), G)))))), d(d(d(2, d(1, H)), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), J=d(2, d(1, 3)), C=d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), F)))), G))), H=d(3, d(C, L)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), J), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, K)))))), K=d(d(2, 1), 1), G=d(I, K), F=d(I, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, L))), K))), K))), L)), L=d(J, G)]).
mm_proof(mpnanrd, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(d(2, d(1, d(A, F))), d(A, d(B, D))))))))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, C))), M=d(2, d(1, A)), N=d(2, d(1, d(A, d(d(C, B), B)))), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), R=d(2, d(I, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(I, d(J, S))))), P))), W=d(d(2, 1), 1), X=d(G, 1), P=d(G, W), Y=d(G, Z), U=d(I, P), C=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), Y)))), P))), Q=d(d(2, d(1, d(2, W))), P), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Y)))), P), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(1, C1)), U), C1=d(d(2, d(I, d(d(2, d(1, d(2, U))), W))), W), K=d(R, W), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, A))))), P))), A1)))), P)), W), D1=d(A, d(B, E1)), F1=d(A, E1), B1=d(C1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), P))), W))), d(3, d(R, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Y)))), P)))))), P)))))), Y)))), P))), W))))), F=d(B, E), E=d(d(C, K), Z), E1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, M))))), P)), W)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), P))))), G1=d(D1, d(d(C, d(d(2, d(1, d(A, H1))), d(A, I1))), d(d(2, d(1, d(A, d(B, I1)))), d(A, d(B, H1))))), J1=d(F1, d(1, F)), H1=d(F1, d(1, E)), K1=d(F1, W), I1=d(F1, d(D1, d(d(C, d(d(2, d(1, d(A, K1))), d(A, J1))), d(d(2, d(1, d(A, d(B, J1)))), d(A, d(B, K1)))))), D=d(d(A, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, G1))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, G1))))), P)))), P)))))), P)), W)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, W))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, W))))), P)))), P)))))), P)), W))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(impd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, G))))), H))))))), H))))), I))))), H))))))), H)))))), d(d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), H)-[G=d(2, d(1, 1)), K=d(2, d(1, 2)), D=d(2, d(1, 3)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), I)))), H))), J=d(3, d(C, L)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, H))))), d(1, d(d(2, d(1, d(2, E))), H)))))), E=d(d(2, 1), 1), H=d(G, E), I=d(G, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, L))), E))), E))), L)), L=d(D, H)]).
mm_proof(impcomd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(F, H))))))), I))))))), I))))), J))))), I))))))), I)))))), d(d(d(2, d(1, K)), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)-[H=d(2, d(1, 1)), L=d(2, d(1, 2)), D=d(2, d(1, 3)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), J)))), I))), K=d(3, d(C, M)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), H), F=d(d(d(2, d(1, 2)), 1), d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, I))))), d(1, d(d(2, d(1, d(2, E))), I)))))), E=d(d(2, 1), 1), I=d(H, E), J=d(H, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, M))), E))), E))), M)), M=d(D, I)]).
mm_proof(expcom, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J))))), F)-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(K, N)), O=d(3, d(M, P)), G=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), F=d(E, I), Q=d(E, d(d(2, d(1, R)), P)), P=d(K, F), J=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), Q)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), F), C=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), I))), I), H=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(D, Q)))), F)))))), F)))))), Q)))), F))), I)))))]).
mm_proof(expdcom, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), C)))), d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, D))))), C))), d(d(2, d(1, G)), d(D, d(d(3, d(3, d(1, H))), H))))))), C)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J)-[F=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(K, N)), O=d(3, d(M, P)), G=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), C))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), C=d(F, I), Q=d(F, d(d(2, d(1, R)), P)), P=d(K, C), J=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), C)))), Q)))), C)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), C), D=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), I))), I), H=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), C))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(E, Q)))), C)))))), C)))))), Q)))), C))), I)))))]).
mm_proof(expd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), D)))), d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(F, G))))), D))), d(d(2, d(1, I)), d(G, d(d(3, d(3, d(1, J))), J))))))), D)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L))))))), D)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, K))))), H=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), O=d(2, d(M, P)), Q=d(3, d(O, R)), I=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, P))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), D=d(F, K), S=d(F, d(d(2, d(1, T)), R)), R=d(M, D), L=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), S)))), D)), E=d(d(2, d(1, d(2, K))), D), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), S)))), D), G=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(M, d(d(2, d(1, d(2, R))), K))), K), J=d(T, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), D))), K))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(H, S)))), D)))))), D)))))), S)))), D))), K)))))]).
mm_proof(expcomd, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, 2))), E)))), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), E))), d(d(2, d(1, I)), d(F, d(d(3, d(3, d(1, J))), J))))))), E)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L))))))), E)))-[H=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, K))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), P=d(2, d(N, Q)), R=d(3, d(P, S)), I=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), E))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), H), A=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, E))))), d(1, T))))), K=d(d(2, 1), 1), E=d(H, K), U=d(H, d(d(2, d(1, V)), S)), S=d(N, E), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), U)))), E)), T=d(d(2, d(1, d(2, K))), E), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), U)))), E), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(N, d(d(2, d(1, d(2, S))), K))), K), J=d(V, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), E))), K))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(G, U)))), E)))))), E)))))), U)))), E))), K)))))]).
mm_proof(imp31, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), G))))), H))))))), H)))))), I))))), G))))), H))))))), H)))))), I)-[J=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), G)))), H))), N=d(3, d(L, O)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), K), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(L, M)))))), D=d(d(d(2, d(1, 2)), 1), L), M=d(d(2, 1), 1), H=d(J, M), G=d(J, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, O))), M))), M))), O)), O=d(K, H), I=d(d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp32, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, H))))), I))))))), I))))), J))))), I))))))), I)))))), K))))), I))))), J))))), I))))))), I)))))), K)-[H=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), J)))), I))), P=d(3, d(N, Q)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(N, O)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, I))))), d(1, d(d(2, d(1, d(2, O))), I)))))), D=d(d(d(2, d(1, 2)), 1), N), O=d(d(2, 1), 1), I=d(H, O), J=d(H, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, Q))), O))), O))), Q)), Q=d(M, I), K=d(d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(exp31, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D)))), C)))))), D)-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(H, I))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), H=d(2, d(F, L)), M=d(3, d(H, N)), K=d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, L))))), O))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), O=d(E, I), P=d(E, d(d(2, d(1, Q)), N)), N=d(F, O), D=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), O)))), P)))), O)), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), P)))), O), R=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(F, d(d(2, d(1, d(2, N))), I))), I), C=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, R))))), O))), d(d(2, d(1, K)), d(R, d(d(3, d(3, d(1, S))), S))))))), O)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), O))), I))), d(3, d(H, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(J, P)))), O)))))), O)))))), P)))), O))), I)))))]).
mm_proof(exp32, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), D)))), G)))))), H))))))), D)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), K=d(2, d(I, O)), P=d(3, d(K, Q)), N=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, O))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), D=d(F, L), R=d(F, d(d(2, d(1, S)), Q)), Q=d(I, D), H=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), R)))), D)), E=d(d(2, d(1, d(2, L))), D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), R)))), D), T=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(I, d(d(2, d(1, d(2, Q))), L))), L), G=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, T))))), D))), d(d(2, d(1, N)), d(T, d(d(3, d(3, d(1, U))), U))))))), D)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), D))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, R)))), D)))))), D)))))), R)))), D))), L)))))]).
mm_proof(imp4b, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J))), Q=d(3, d(O, R)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(O, P)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, J))))), d(1, d(d(2, d(1, d(2, P))), J)))))), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), J=d(L, P), I=d(L, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, R))), P))), P))), R)), R=d(N, J), K=d(d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp4a, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(N, L))))), J))), d(d(2, d(1, O)), d(L, d(d(3, d(3, d(1, P))), P))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), R)-[N=d(2, d(1, 1)), S=d(2, d(1, 2)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, Q))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), V=d(2, d(T, W)), X=d(3, d(V, Y)), O=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, W))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), U), G=d(d(d(2, d(1, 2)), 1), d(2, d(S, d(d(2, d(1, d(2, d(1, d(S, J))))), d(1, Z))))), D=d(d(d(2, d(1, 2)), 1), V), Q=d(d(2, 1), 1), J=d(N, Q), I=d(N, d(d(2, d(1, A1)), Y)), Y=d(T, J), R=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), I)))), J)), Z=d(d(2, d(1, d(2, Q))), J), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), L=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(T, d(d(2, d(1, d(2, Y))), Q))), Q), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(imp4c, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, I))))), J))))))), J))))), K))))), J))))))), J)))))), L))))), J))))))), J))))))), J))))), K))))), J))))))), J)))))), L))))), J)-[I=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), K)))), J))), Q=d(3, d(O, R)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), I), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(O, P)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, J))))), d(1, d(d(2, d(1, d(2, P))), J)))))), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), J=d(I, P), K=d(I, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, R))), P))), P))), R)), R=d(N, J), L=d(d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp4d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(N, L))))), J))), d(d(2, d(1, O)), d(L, d(d(3, d(3, d(1, P))), P))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), R))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)-[N=d(2, d(1, 1)), S=d(2, d(1, 2)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, Q))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), V=d(2, d(T, W)), X=d(3, d(V, Y)), O=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, W))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), U), G=d(d(d(2, d(1, 2)), 1), d(2, d(S, d(d(2, d(1, d(2, d(1, d(S, J))))), d(1, Z))))), D=d(d(d(2, d(1, 2)), 1), V), Q=d(d(2, 1), 1), J=d(N, Q), I=d(N, d(d(2, d(1, A1)), Y)), Y=d(T, J), R=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), I)))), J)), Z=d(d(2, d(1, d(2, Q))), J), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), L=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(T, d(d(2, d(1, d(2, Y))), Q))), Q), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(imp41, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), G))))), H))))))), H)))))), I))))), G))))), H))))))), H)))))), I))))), G))))), H))))))), H)))))), I)-[J=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), G)))), H))), N=d(3, d(L, O)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), K), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(L, M)))))), D=d(d(d(2, d(1, 2)), 1), L), M=d(d(2, 1), 1), H=d(J, M), G=d(J, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, O))), M))), M))), O)), O=d(K, H), I=d(d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp42, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, H))))), I))))))), I))))), J))))), I))))))), I)))))), K))))), I))))), J))))), I))))))), I)))))), K))))), J))))), I))))))), I)))))), K)-[H=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), J)))), I))), P=d(3, d(N, Q)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(N, O)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, I))))), d(1, d(d(2, d(1, d(2, O))), I)))))), D=d(d(d(2, d(1, 2)), 1), N), O=d(d(2, 1), 1), I=d(H, O), J=d(H, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, Q))), O))), O))), Q)), Q=d(M, I), K=d(d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp43, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J))))), I))))), J))))))), J)))))), K)-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J))), Q=d(3, d(O, R)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(O, P)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, J))))), d(1, d(d(2, d(1, d(2, P))), J)))))), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), J=d(L, P), I=d(L, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, R))), P))), P))), R)), R=d(N, J), K=d(d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp44, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, I))))), J))))))), J))))), K))))), J))))))), J)))))), L))))), J))))))), J))))))), J))))), K))))), J))))))), J)))))), L))))), J))))), K))))), J))))))), J)))))), L)-[I=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), K)))), J))), Q=d(3, d(O, R)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), I), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(O, P)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, J))))), d(1, d(d(2, d(1, d(2, P))), J)))))), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), J=d(I, P), K=d(I, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, R))), P))), P))), R)), R=d(N, J), L=d(d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp45, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(N, L))))), J))), d(d(2, d(1, O)), d(L, d(d(3, d(3, d(1, P))), P))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), R))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J))))), I))))), J))))))), J)))))), K)-[N=d(2, d(1, 1)), S=d(2, d(1, 2)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, Q))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), V=d(2, d(T, W)), X=d(3, d(V, Y)), O=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, W))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), U), G=d(d(d(2, d(1, 2)), 1), d(2, d(S, d(d(2, d(1, d(2, d(1, d(S, J))))), d(1, Z))))), D=d(d(d(2, d(1, 2)), 1), V), Q=d(d(2, 1), 1), J=d(N, Q), I=d(N, d(d(2, d(1, A1)), Y)), Y=d(T, J), R=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), I)))), J)), Z=d(d(2, d(1, d(2, Q))), J), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), L=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(T, d(d(2, d(1, d(2, Y))), Q))), Q), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(exp4b, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), D)))), G)))))), H))))))), D)))), G)))))), H)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), K=d(2, d(I, O)), P=d(3, d(K, Q)), N=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, O))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), D=d(F, L), R=d(F, d(d(2, d(1, S)), Q)), Q=d(I, D), H=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), R)))), D)), E=d(d(2, d(1, d(2, L))), D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), R)))), D), T=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(I, d(d(2, d(1, d(2, Q))), L))), L), G=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, T))))), D))), d(d(2, d(1, N)), d(T, d(d(3, d(3, d(1, U))), U))))))), D)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), D))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, R)))), D)))))), D)))))), R)))), D))), L)))))]).
mm_proof(exp4a, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), J))))), D))))))), D)))))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), D)))), L)))))), M))))))), D)))), L)))))), M)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), G=d(2, d(H, Q)), R=d(3, d(G, S)), P=d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, Q))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), D=d(F, N), J=d(F, d(d(2, d(1, T)), S)), S=d(H, D), M=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), J)))), D)), E=d(d(2, d(1, d(2, N))), D), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), J)))), D), K=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(H, d(d(2, d(1, d(2, S))), N))), N), L=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, K))))), D))), d(d(2, d(1, P)), d(K, d(d(3, d(3, d(1, U))), U))))))), D)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(T, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D))), N))), d(3, d(G, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(O, J)))), D)))))), D)))))), J)))), D))), N)))))]).
mm_proof(exp4c, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), E)))), F)))))), G))))))), E))))), E)))), F)))))), G))))))), E)-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), L=d(2, d(J, P)), Q=d(3, d(L, R)), O=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, P))))), E))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), H), C=d(d(d(2, d(1, 2)), 1), d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, E))))), d(1, S))))), M=d(d(2, 1), 1), E=d(H, M), T=d(H, d(d(2, d(1, U)), R)), R=d(J, E), G=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), E)), S=d(d(2, d(1, d(2, M))), E), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), T)))), E), V=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(J, d(d(2, d(1, d(2, R))), M))), M), F=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, V))))), E))), d(d(2, d(1, O)), d(V, d(d(3, d(3, d(1, W))), W))))))), E)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), E))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, T)))), E)))))), E)))))), T)))), E))), M)))))]).
mm_proof(exp4d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), H)))), I)))))), J))))))), H))))), K))))), H))))))), H)))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), H)))), I)))))), J))))))), H)))), I)))))), J)-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), E=d(2, d(F, R)), S=d(3, d(E, T)), Q=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, R))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), M), C=d(d(d(2, d(1, 2)), 1), d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, H))))), d(1, U))))), O=d(d(2, 1), 1), H=d(M, O), K=d(M, d(d(2, d(1, V)), T)), T=d(F, H), J=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), K)))), H)), U=d(d(2, d(1, d(2, O))), H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), K)))), H), L=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(F, d(d(2, d(1, d(2, T))), O))), O), I=d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, L))))), H))), d(d(2, d(1, Q)), d(L, d(d(3, d(3, d(1, W))), W))))))), H)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), H))), O))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(P, K)))), H)))))), H)))))), K)))), H))), O)))))]).
mm_proof(exp41, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D)))), C)))))), D)))), C)))))), D)-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(H, I))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), H=d(2, d(F, L)), M=d(3, d(H, N)), K=d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, L))))), O))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), O=d(E, I), P=d(E, d(d(2, d(1, Q)), N)), N=d(F, O), D=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), O)))), P)))), O)), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), P)))), O), R=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(F, d(d(2, d(1, d(2, N))), I))), I), C=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, R))))), O))), d(d(2, d(1, K)), d(R, d(d(3, d(3, d(1, S))), S))))))), O)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), O))), I))), d(3, d(H, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(J, P)))), O)))))), O)))))), P)))), O))), I)))))]).
mm_proof(exp42, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H)))), G)))))), H))))), D)))), G)))))), H))))))), D)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), K=d(2, d(I, O)), P=d(3, d(K, Q)), N=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, O))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), D=d(F, L), R=d(F, d(d(2, d(1, S)), Q)), Q=d(I, D), H=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), R)))), D)), E=d(d(2, d(1, d(2, L))), D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), R)))), D), T=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(I, d(d(2, d(1, d(2, Q))), L))), L), G=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, T))))), D))), d(d(2, d(1, N)), d(T, d(d(3, d(3, d(1, U))), U))))))), D)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), D))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, R)))), D)))))), D)))))), R)))), D))), L)))))]).
mm_proof(exp43, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), D)))), G)))))), H))))))), D)))), G)))))), H)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), K=d(2, d(I, O)), P=d(3, d(K, Q)), N=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, O))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), D=d(F, L), R=d(F, d(d(2, d(1, S)), Q)), Q=d(I, D), H=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), R)))), D)), E=d(d(2, d(1, d(2, L))), D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), R)))), D), T=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(I, d(d(2, d(1, d(2, Q))), L))), L), G=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, T))))), D))), d(d(2, d(1, N)), d(T, d(d(3, d(3, d(1, U))), U))))))), D)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), D))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, R)))), D)))))), D)))))), R)))), D))), L)))))]).
mm_proof(exp44, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), E)))))), F))))), G)))), E)))))), F))))))), G))))), G)))), E)))))), F))))))), G)-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), L=d(2, d(J, P)), Q=d(3, d(L, R)), O=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, P))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), H), C=d(d(d(2, d(1, 2)), 1), d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, G))))), d(1, S))))), M=d(d(2, 1), 1), G=d(H, M), T=d(H, d(d(2, d(1, U)), R)), R=d(J, G), F=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), G)), S=d(d(2, d(1, d(2, M))), G), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), T)))), G), V=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(J, d(d(2, d(1, d(2, R))), M))), M), E=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, V))))), G))), d(d(2, d(1, O)), d(V, d(d(3, d(3, d(1, W))), W))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), G))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, T)))), G)))))), G)))))), T)))), G))), M)))))]).
mm_proof(exp45, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), H)))))), I))))), J)))), H)))))), I))))))), J))))), K))))), J))))))), J)))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)))), H)))))), I))))))), J)))), H)))))), I)-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), E=d(2, d(F, R)), S=d(3, d(E, T)), Q=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, R))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), M), C=d(d(d(2, d(1, 2)), 1), d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, U))))), O=d(d(2, 1), 1), J=d(M, O), K=d(M, d(d(2, d(1, V)), T)), T=d(F, J), I=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), K)))), J)), U=d(d(2, d(1, d(2, O))), J), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), K)))), J), L=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(F, d(d(2, d(1, d(2, T))), O))), O), H=d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, L))))), J))), d(d(2, d(1, Q)), d(L, d(d(3, d(3, d(1, W))), W))))))), J)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), O))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(P, K)))), J)))))), J)))))), K)))), J))), O)))))]).
mm_proof(imp5d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J))), Q=d(3, d(O, R)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(O, P)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, J))))), d(1, d(d(2, d(1, d(2, P))), J)))))), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), J=d(L, P), I=d(L, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, R))), P))), P))), R)), R=d(N, J), K=d(d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp5a, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)))), L)))))), M)))), L)))))), M)-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), R=d(2, d(P, V)), W=d(3, d(R, X)), U=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, V))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, J))))), d(1, Y))))), D=d(d(d(2, d(1, 2)), 1), R), S=d(d(2, 1), 1), J=d(N, S), I=d(N, d(d(2, d(1, Z)), X)), X=d(P, J), M=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), I)))), J)), Y=d(d(2, d(1, d(2, S))), J), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), I)))), J), A1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(P, d(d(2, d(1, d(2, X))), S))), S), K=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(N, A1))))), J))), d(d(2, d(1, U)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), J)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), S))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(T, I)))), J)))))), J)))))), I)))), J))), S)))))]).
mm_proof(imp5g, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J))), Q=d(3, d(O, R)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(O, P)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, J))))), d(1, d(d(2, d(1, d(2, P))), J)))))), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), J=d(L, P), I=d(L, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, R))), P))), P))), R)), R=d(N, J), K=d(d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(imp55, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(N, L))))), J))), d(d(2, d(1, O)), d(L, d(d(3, d(3, d(1, P))), P))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), R))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J))))), I))))), J))))))), J)))))), K))))), I))))), J))))))), J)))))), K)-[N=d(2, d(1, 1)), S=d(2, d(1, 2)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, Q))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), V=d(2, d(T, W)), X=d(3, d(V, Y)), O=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, W))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), U), G=d(d(d(2, d(1, 2)), 1), d(2, d(S, d(d(2, d(1, d(2, d(1, d(S, J))))), d(1, Z))))), D=d(d(d(2, d(1, 2)), 1), V), Q=d(d(2, 1), 1), J=d(N, Q), I=d(N, d(d(2, d(1, A1)), Y)), Y=d(T, J), R=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), I)))), J)), Z=d(d(2, d(1, d(2, Q))), J), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), L=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(T, d(d(2, d(1, d(2, Y))), Q))), Q), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(imp511, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), J))))))), J)))))), K))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(N, L))))), J))), d(d(2, d(1, O)), d(L, d(d(3, d(3, d(1, P))), P))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), R))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J))))))), J))))))), J))))), I))))), J))))))), J)))))), K))))), J))))), I))))), J))))))), J)))))), K)-[N=d(2, d(1, 1)), S=d(2, d(1, 2)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, Q))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), V=d(2, d(T, W)), X=d(3, d(V, Y)), O=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, W))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), U), G=d(d(d(2, d(1, 2)), 1), d(2, d(S, d(d(2, d(1, d(2, d(1, d(S, J))))), d(1, Z))))), D=d(d(d(2, d(1, 2)), 1), V), Q=d(d(2, 1), 1), J=d(N, Q), I=d(N, d(d(2, d(1, A1)), Y)), Y=d(T, J), R=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), I)))), J)), Z=d(d(2, d(1, d(2, Q))), J), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), L=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(T, d(d(2, d(1, d(2, Y))), Q))), Q), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(exp5c, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), H))))), I))))))), I)))))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))), K)))))), L))))))), I)))), K)))))), L))))), I)))), K)))))), L))))))), I)-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(F, R)), S=d(3, d(E, T)), Q=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, R))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), M), C=d(d(d(2, d(1, 2)), 1), d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, I))))), d(1, U))))), O=d(d(2, 1), 1), I=d(M, O), H=d(M, d(d(2, d(1, V)), T)), T=d(F, I), L=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), H)))), I)), U=d(d(2, d(1, d(2, O))), I), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), H)))), I), J=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(F, d(d(2, d(1, d(2, T))), O))), O), K=d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, J))))), I))), d(d(2, d(1, Q)), d(J, d(d(3, d(3, d(1, W))), W))))))), I)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), O))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(P, H)))), I)))))), I)))))), H)))), I))), O)))))]).
mm_proof(exp5j, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), E)))), F)))))), G))))))), E))))), E)))), F)))))), G))))))), E))))), E)))), F)))))), G))))))), E)-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), L=d(2, d(J, P)), Q=d(3, d(L, R)), O=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, P))))), E))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), H), C=d(d(d(2, d(1, 2)), 1), d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, E))))), d(1, S))))), M=d(d(2, 1), 1), E=d(H, M), T=d(H, d(d(2, d(1, U)), R)), R=d(J, E), G=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), E)), S=d(d(2, d(1, d(2, M))), E), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), T)))), E), V=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(J, d(d(2, d(1, d(2, R))), M))), M), F=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, V))))), E))), d(d(2, d(1, O)), d(V, d(d(3, d(3, d(1, W))), W))))))), E)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), E))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, T)))), E)))))), E)))))), T)))), E))), M)))))]).
mm_proof(exp5l, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), H)))), I)))))), J))))))), H))))), K))))), H))))))), H)))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), H)))), I)))))), J))))))), H)))), I)))))), J))))), H)))), I)))))), J))))))), H)-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), E=d(2, d(F, R)), S=d(3, d(E, T)), Q=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, R))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), M), C=d(d(d(2, d(1, 2)), 1), d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, H))))), d(1, U))))), O=d(d(2, 1), 1), H=d(M, O), K=d(M, d(d(2, d(1, V)), T)), T=d(F, H), J=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), K)))), H)), U=d(d(2, d(1, d(2, O))), H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), K)))), H), L=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(F, d(d(2, d(1, d(2, T))), O))), O), I=d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, L))))), H))), d(d(2, d(1, Q)), d(L, d(d(3, d(3, d(1, W))), W))))))), H)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), H))), O))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(P, K)))), H)))))), H)))))), K)))), H))), O)))))]).
mm_proof(exp53, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H)))), G)))))), H))))), D)))), G)))))), H))))))), D)))), G)))))), H)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), K=d(2, d(I, O)), P=d(3, d(K, Q)), N=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, O))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), D=d(F, L), R=d(F, d(d(2, d(1, S)), Q)), Q=d(I, D), H=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), R)))), D)), E=d(d(2, d(1, d(2, L))), D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), R)))), D), T=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(I, d(d(2, d(1, d(2, Q))), L))), L), G=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, T))))), D))), d(d(2, d(1, N)), d(T, d(d(3, d(3, d(1, U))), U))))))), D)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), D))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, R)))), D)))))), D)))))), R)))), D))), L)))))]).
mm_proof(impexp, d(d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(1, d(d(2, D), d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(C, E))))), G))), d(d(2, d(1, H)), d(E, d(d(3, d(3, d(1, I))), I))))))), G)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), K)))))), G)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(B, G)))), G)))))), G)))), O)))), G)))))), G))))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G))-[D=d(1, P), C=d(2, d(1, 1)), Q=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(L, J))))), F=d(2, d(1, d(2, A))), B=d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, G))))), D))), L=d(2, d(M, R)), S=d(3, d(L, T)), H=d(3, d(L, d(d(2, d(1, d(2, d(M, d(N, R))))), G))), J=d(d(2, 1), 1), G=d(C, J), O=d(C, d(d(2, d(1, U)), T)), T=d(M, G), K=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), O)))), G)), A=d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K), P=d(d(2, d(1, d(2, J))), G), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), O)))), G), E=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(M, d(d(2, d(1, d(2, T))), J))), J), I=d(U, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), G))), J))), d(3, d(L, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(F, O)))), G)))))), G)))))), O)))), G))), J)))))]).
mm_proof(impancom, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, G))))), d(1, H))))), d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(I, J))))), G))), d(d(2, d(1, L)), d(J, d(d(3, d(3, d(1, M))), M))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O))))))), P))))), G))))))), G)))))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), F=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), C=d(2, d(D, Q)), R=d(3, d(C, S)), L=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, Q))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), G=d(I, N), P=d(I, d(d(2, d(1, T)), S)), S=d(D, G), O=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), P)))), G)), H=d(d(2, d(1, d(2, N))), G), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), P)))), G), J=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(D, d(d(2, d(1, d(2, S))), N))), N), M=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), G))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(K, P)))), G)))))), G)))))), P)))), G))), N)))))]).
mm_proof(expdimp, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, G))))), d(1, H))))), d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), G)))), d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(I, J))))), G))), d(d(2, d(1, L)), d(J, d(d(3, d(3, d(1, M))), M))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O))))))), G))))), P))))), G))))))), G)))))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), F=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), C=d(2, d(D, Q)), R=d(3, d(C, S)), L=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, Q))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), G=d(I, N), P=d(I, d(d(2, d(1, T)), S)), S=d(D, G), O=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), P)))), G)), H=d(d(2, d(1, d(2, N))), G), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), P)))), G), J=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(D, d(d(2, d(1, d(2, S))), N))), N), M=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), G))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(K, P)))), G)))))), G)))))), P)))), G))), N)))))]).
mm_proof(expimpd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(J, H))))), K))), d(d(2, d(1, L)), d(H, d(d(3, d(3, d(1, M))), M))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O))))))), K))))))), K))))), P))))), K))))))), K)))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), K)-[J=d(2, d(1, 1)), Q=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), C=d(2, d(D, R)), S=d(3, d(C, T)), L=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, R))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), J), F=d(d(d(2, d(1, 2)), 1), d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, K))))), d(1, U))))), N=d(d(2, 1), 1), K=d(J, N), P=d(J, d(d(2, d(1, V)), T)), T=d(D, K), O=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), P)))), K)), U=d(d(2, d(1, d(2, N))), K), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), P)))), K), H=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(D, d(d(2, d(1, d(2, T))), N))), N), M=d(V, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), K))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(I, P)))), K)))))), K)))))), P)))), K))), N)))))]).
mm_proof(impr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), L))), d(d(2, d(1, M)), d(I, d(d(3, d(3, d(1, N))), N))))))), L)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P))))))), L))))))), L))))), Q))))), L))))))), L)))))), R))))), L))))), Q))))), L))))))), L)))))), R)-[K=d(2, d(1, 1)), S=d(2, d(1, 2)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, O))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), V=d(2, d(T, W)), X=d(3, d(V, Y)), M=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, W))))), L))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), K), E=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), U), G=d(d(d(2, d(1, 2)), 1), d(2, d(S, d(d(2, d(1, d(2, d(1, d(S, L))))), d(1, Z))))), D=d(d(d(2, d(1, 2)), 1), V), O=d(d(2, 1), 1), L=d(K, O), Q=d(K, d(d(2, d(1, A1)), Y)), Y=d(T, L), P=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), Q)))), L)), Z=d(d(2, d(1, d(2, O))), L), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Q)))), L), I=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(T, d(d(2, d(1, d(2, Y))), O))), O), R=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(A1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), L))), O))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(J, Q)))), L)))))), L)))))), Q)))), L))), O)))))]).
mm_proof(impl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, H))))), d(1, I))))), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), H)))), d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(J, K))))), H))), d(d(2, d(1, M)), d(K, d(d(3, d(3, d(1, N))), N))))))), H)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P))))))), H))))), Q))))), H))))))), H)))))), R))))), Q))))), H))))))), H)))))), R)-[J=d(2, d(1, 1)), G=d(2, d(1, 2)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(U, O))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), U=d(2, d(S, V)), W=d(3, d(U, X)), M=d(3, d(U, d(d(2, d(1, d(2, d(S, d(T, V))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), U), O=d(d(2, 1), 1), H=d(J, O), Q=d(J, d(d(2, d(1, Y)), X)), X=d(S, H), P=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), Q)))), H)), I=d(d(2, d(1, d(2, O))), H), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Q)))), H), K=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(S, d(d(2, d(1, d(2, X))), O))), O), R=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(Y, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), H))), O))), d(3, d(U, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(L, Q)))), H)))))), H)))))), Q)))), H))), O)))))]).
mm_proof(expr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, G))))), d(1, H))))), d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), J)))))), K))))), G)))), J)))))), K))))))), G))))), L))))), G))))))), G)))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), F=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), C=d(2, d(D, Q)), R=d(3, d(C, S)), P=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, Q))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), G=d(I, N), L=d(I, d(d(2, d(1, T)), S)), S=d(D, G), K=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), L)))), G)), H=d(d(2, d(1, d(2, N))), G), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), L)))), G), M=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(D, d(d(2, d(1, d(2, S))), N))), N), J=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, M))))), G))), d(d(2, d(1, P)), d(M, d(d(3, d(3, d(1, U))), U))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), G))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(O, L)))), G)))))), G)))))), L)))), G))), N)))))]).
mm_proof(expl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), H)))))), I)))), H)))))), I))))))), J))))))), J))))), K))))), J))))))), J)))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), C=d(2, d(D, R)), S=d(3, d(C, T)), Q=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, R))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, U))))), O=d(d(2, 1), 1), J=d(M, O), K=d(M, d(d(2, d(1, V)), T)), T=d(D, J), I=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), K)))), J)), U=d(d(2, d(1, d(2, O))), J), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), K)))), J), L=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(D, d(d(2, d(1, d(2, T))), O))), O), H=d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, L))))), J))), d(d(2, d(1, Q)), d(L, d(d(3, d(3, d(1, W))), W))))))), J)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), O))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(P, K)))), J)))))), J)))))), K)))), J))), O)))))]).
mm_proof(ancoms, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M))))), I))))), N))))), I))))))), I)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), C=d(2, d(D, O)), P=d(3, d(C, Q)), J=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, O))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), I=d(H, L), N=d(H, d(d(2, d(1, R)), Q)), Q=d(D, I), M=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), N)))), I)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), N)))), I), F=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(D, d(d(2, d(1, d(2, Q))), L))), L), K=d(R, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), I))), L))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(G, N)))), I)))))), I)))))), N)))), I))), L)))))]).
mm_proof('pm3.22', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), H))), d(d(2, d(1, I)), d(E, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))), H)))), M)))), H)))))), H))))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), D=d(2, d(1, K)), A=d(2, d(B, N)), O=d(3, d(A, P)), I=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(G, K), M=d(G, d(d(2, d(1, Q)), P)), P=d(B, H), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), M)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, D)), M)))), H), E=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(F, M)))), H)))))), H)))))), M)))), H))), K)))))]).
mm_proof(ancom, d(d(A, B), B)-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(F, G))))), H=d(2, d(1, d(2, A))), I=d(2, d(1, G)), F=d(2, d(D, J)), K=d(3, d(F, L)), M=d(3, d(F, d(d(2, d(1, d(2, d(D, d(E, J))))), N))), G=d(d(2, 1), 1), N=d(C, G), O=d(C, d(d(2, d(1, P)), L)), L=d(D, N), Q=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), N)))), O)))), N)), A=d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q), J=d(d(2, d(1, d(2, d(d(2, d(1, I)), O)))), N), R=d(d(2, d(1, K)), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(C, R))))), N))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), N)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Q)))), N)))), O)))), N)))))), N))))), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(D, d(d(2, d(1, d(2, L))), G))), G), S=d(P, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), N))), G))), d(3, d(F, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(H, O)))), N)))))), N)))))), O)))), N))), G)))))]).
mm_proof(ancomd, d(2, d(1, d(A, d(d(B, C), C))))-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(G, H))))), I=d(2, d(1, d(2, B))), J=d(2, d(1, H)), G=d(2, d(E, K)), L=d(3, d(G, M)), N=d(3, d(G, d(d(2, d(1, d(2, d(E, d(F, K))))), O))), H=d(d(2, 1), 1), O=d(D, H), P=d(D, d(d(2, d(1, Q)), M)), M=d(E, O), R=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), O)))), P)))), O)), B=d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R), K=d(d(2, d(1, d(2, d(d(2, d(1, J)), P)))), O), A=d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C=d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(D, A))))), O))), d(d(2, d(1, N)), d(A, d(d(3, d(3, d(1, S))), S))))))), O)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), R)))), O)))), P)))), O)))))), O))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(E, d(d(2, d(1, d(2, M))), H))), H), S=d(Q, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), O))), H))), d(3, d(G, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(I, P)))), O)))))), O)))))), P)))), O))), H)))))]).
mm_proof(biancomi, d(d(2, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, C)))), B))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(d(d(d(2, d(1, 2)), 1), B), D)))), d(B, d(D, C))))-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(H, I))))), J=d(2, d(1, d(2, A))), K=d(2, d(1, I)), H=d(2, d(F, L)), M=d(3, d(H, N)), O=d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, L))))), P))), I=d(d(2, 1), 1), P=d(E, I), Q=d(E, d(d(2, d(1, R)), N)), N=d(F, P), S=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), P)))), Q)))), P)), A=d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), L=d(d(2, d(1, d(2, d(d(2, d(1, K)), Q)))), P), B=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S)))), P)))), Q)))), P)))))), P))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(F, d(d(2, d(1, d(2, N))), I))), I), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, B))))), P))), d(d(2, d(1, O)), d(B, d(d(3, d(3, d(1, U))), U))))))), P)), I), U=d(R, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), I))), d(3, d(H, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(J, Q)))), P)))))), P)))))), Q)))), P))), I))))), C=d(D, d(d(A, T), T))]).
mm_proof(biancomd, d(d(d(d(2, d(1, 2)), 1), d(A, d(B, C))), d(d(2, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, E)))), d(F, G)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(F, d(d(d(d(2, d(1, 2)), 1), B), G))))), d(A, d(B, E)))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, D))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), F=d(d(d(2, d(1, 2)), 1), A), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), Z=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q)), D=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), X)))), Q), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, B1))), B1))), C1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Z)))), Q)))), X)))), Q)))))), Q))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, A))))), Q))), A1)))), Q)), M), G=d(A, C), B1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, A1)))))))), Q))), d(I, d(2, d(1, A))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, D)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), W)))), Q))))), E=d(G, d(1, d(d(D, C1), C1)))]).
mm_proof(ancomst, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(C, d(B, d(D, E)))))))), F))), d(C, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(G, d(d(H, I), I)))), E))))), F)))), F))))))), F)), E), d(d(H, J), J))-[K=d(1, E), B=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, E))))), A=d(2, d(1, d(2, H))), P=d(2, K), D=d(2, d(1, G)), C=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, F))))), d(L, d(B, K))))), O=d(2, d(M, Q)), R=d(3, d(O, S)), T=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, Q))))), F))), E=d(d(2, 1), 1), F=d(B, E), U=d(B, d(d(2, d(1, V)), S)), S=d(M, F), W=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), U)))), F)), H=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), U)))), F), G=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J=d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(G, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), W)))), F)))), U)))), F)))))), F))))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(M, d(d(2, d(1, d(2, S))), E))), E), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, G))))), F))), d(d(2, d(1, T)), d(G, d(d(3, d(3, d(1, X))), X))))))), F)), E), X=d(V, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), F))), E))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(A, U)))), F)))))), F)))))), U)))), F))), E)))))]).
mm_proof(ancomsd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), H)))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), H))), d(d(2, d(1, L)), d(I, d(d(3, d(3, d(1, M))), M))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O))))))), H))))))))), H))))))), H))))), P))))), H))))))), H)))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), H)-[K=d(2, d(1, 1)), Q=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), C=d(2, d(D, R)), S=d(3, d(C, T)), L=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, R))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), K), F=d(d(d(2, d(1, 2)), 1), d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, H))))), d(1, U))))), N=d(d(2, 1), 1), H=d(K, N), P=d(K, d(d(2, d(1, V)), T)), T=d(D, H), O=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), P)))), H)), U=d(d(2, d(1, d(2, N))), H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), P)))), H), I=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(D, d(d(2, d(1, d(2, T))), N))), N), M=d(V, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), H))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(J, P)))), H)))))), H)))))), P)))), H))), N)))))]).
mm_proof(anasss, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), I)))))), J)))), I)))))), J))))))), K))))))), K))))), L))))), K))))))), K)))))), M))))), K))))), L))))), K))))))), K)))))), M)-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), R=d(2, d(P, V)), W=d(3, d(R, X)), U=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, V))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, K))))), d(1, Y))))), D=d(d(d(2, d(1, 2)), 1), R), S=d(d(2, 1), 1), K=d(N, S), L=d(N, d(d(2, d(1, Z)), X)), X=d(P, K), J=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), L)))), K)), Y=d(d(2, d(1, d(2, S))), K), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), L)))), K), A1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(P, d(d(2, d(1, d(2, X))), S))), S), M=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(N, A1))))), K))), d(d(2, d(1, U)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), K)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), S))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(T, L)))), K)))))), K)))))), L)))), K))), S)))))]).
mm_proof(anassrs, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, H))))), d(1, I))))), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), K)))))), L))))), H)))), K)))))), L))))))), H))))), M))))), H))))))), H)))))), N))))), M))))), H))))))), H)))))), N)-[J=d(2, d(1, 1)), G=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, R))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), Q=d(2, d(O, U)), V=d(3, d(Q, W)), T=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, U))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), Q), R=d(d(2, 1), 1), H=d(J, R), M=d(J, d(d(2, d(1, X)), W)), W=d(O, H), L=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), M)))), H)), I=d(d(2, d(1, d(2, R))), H), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, R)))), M)))), H), Y=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(O, d(d(2, d(1, d(2, W))), R))), R), N=d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(Y, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(J, Y))))), H))), d(d(2, d(1, T)), d(Y, d(d(3, d(3, d(1, Z))), Z))))))), H)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(X, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H))), R))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(S, M)))), H)))))), H)))))), M)))), H))), R)))))]).
mm_proof(anass, d(d(A, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, G))), H))), I))))), J)))))), H)))), K)))), H)))))), H))))), L)))), K)))), H)))))), H))))), L)), d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, G)), I))))), J)))))), H)))))), H)))), K)))), H)))))), H))))), L)))), H)))), K)))), H)))))), H))))), L))-[F=d(2, d(1, 1)), M=d(2, d(1, 2)), C=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, d(B, N))))), O=d(2, d(1, d(2, A))), P=d(2, d(1, N)), E=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, H))))), d(1, Q)))), B=d(2, d(C, R)), S=d(3, d(B, T)), U=d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, R))))), H))), N=d(d(2, 1), 1), H=d(F, N), K=d(F, d(d(2, d(1, V)), T)), T=d(C, H), J=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), K)))), H)), G=d(d(2, d(1, d(2, d(1, d(P, I))))), J), A=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J), Q=d(d(2, d(1, d(2, N))), H), R=d(d(2, d(1, d(2, d(d(2, d(1, P)), K)))), H), W=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(C, d(d(2, d(1, d(2, T))), N))), N), L=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, W))))), H))), d(d(2, d(1, U)), d(W, d(d(3, d(3, d(1, X))), X))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), H))), N))), d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(O, K)))), H)))))), H)))))), K)))), H))), N)))))]).
mm_proof('pm3.21', d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I)))), E)-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), P)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof('pm3.43i', d(d(2, d(1, 2)), d(2, d(1, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I))))-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), P)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof('pm3.43', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(2, d(1, d(d(2, d(1, d(2, d(1, d(D, d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), H))), d(d(2, d(1, I)), d(E, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L))))))), M)))), H)))))), H))))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), D=d(2, d(1, K)), A=d(2, d(B, N)), O=d(3, d(A, P)), I=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(G, K), M=d(G, d(d(2, d(1, Q)), P)), P=d(B, H), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), M)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, D)), M)))), H), E=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(F, M)))), H)))))), H)))))), M)))), H))), K)))))]).
mm_proof(biimpa, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(2, d(1, F)))))), G))))), H))))))), H)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), G)))), H))), J=d(3, d(C, K)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), H=d(I, E), G=d(I, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, K))), E))), E))), K)), K=d(D, H), F=d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(biimpar, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, F))), d(2, d(1, d(F, d(d(G, H), H))))))))), I))))), I))))), J))))), I))))))), I)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[K=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, L))))), M=d(2, d(1, d(2, G))), C=d(2, d(D, N)), O=d(3, d(C, P)), Q=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, N))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), I=d(K, L), J=d(K, d(d(2, d(1, R)), P)), P=d(D, I), G=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), J)))), I))), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), J)))), I), F=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(D, d(d(2, d(1, d(2, P))), L))), L), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(K, F))))), I))), d(d(2, d(1, Q)), d(F, d(d(3, d(3, d(1, S))), S))))))), I)), L), S=d(R, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), L))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(M, J)))), I)))))), I)))))), J)))), I))), L)))))]).
mm_proof(biimpac, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(2, d(1, F)))))), G))))), G))))), G))))), H))))), G))))))), G)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), H)))), G))), J=d(3, d(C, K)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), G=d(I, E), H=d(I, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, K))), E))), E))), K)), K=d(D, G), F=d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(biimparc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, F))), d(2, d(1, d(F, d(d(G, H), H))))))))), I))))), I))))), I))))), J))))), I))))))), I)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[K=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, L))))), M=d(2, d(1, d(2, G))), C=d(2, d(D, N)), O=d(3, d(C, P)), Q=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, N))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), I=d(K, L), J=d(K, d(d(2, d(1, R)), P)), P=d(D, I), G=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), J)))), I))), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), J)))), I), F=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(D, d(d(2, d(1, d(2, P))), L))), L), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(K, F))))), I))), d(d(2, d(1, Q)), d(F, d(d(3, d(3, d(1, S))), S))))))), I)), L), S=d(R, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), L))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(M, J)))), I)))))), I)))))), J)))), I))), L)))))]).
mm_proof(simpl, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), d(d(d(2, d(1, F)), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), E)))), D))), F=d(3, d(A, H)), C=d(d(2, 1), 1), D=d(G, C), E=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, H))), C))), C))), H)), H=d(B, D)]).
mm_proof(intnan, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, 1))))), E))))), F)))), G)))), d(3, d(H, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(D, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(D, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), F)))))), F))))), J))), d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(M, K))))), F))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, O))), O))))))), F)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), P)))), F)))), E)))), F)))))), F))))), J)))))), E)))), F))), G)))))-[M=d(2, d(1, 1)), D=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(H, G))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), H=d(2, d(D, Q)), R=d(3, d(H, S)), N=d(3, d(H, d(d(2, d(1, d(2, d(D, d(I, Q))))), F))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), G=d(d(2, 1), 1), F=d(M, G), E=d(M, d(d(2, d(1, A)), S)), S=d(D, F), P=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), E)))), F)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), E)))), F), K=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(D, d(d(2, d(1, d(2, S))), G))), G), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(A, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), F))), G))), d(3, d(H, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(D, d(I, d(d(2, d(1, d(2, d(L, E)))), F)))))), F)))))), E)))), F))), G)))))]).
mm_proof(intnanr, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, 1))))), E))))), F)))), G)))), d(3, d(H, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(2, d(1, d(H, G))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), F)))))), F))))), d(d(d(2, d(1, I)), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), E)))), F))), G)))))-[J=d(2, d(1, 1)), D=d(2, d(1, 3)), H=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), E)))), F))), I=d(3, d(H, K)), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), G=d(d(2, 1), 1), F=d(J, G), E=d(J, d(d(2, d(1, A)), K)), K=d(D, F), A=d(d(2, d(D, d(d(2, d(1, d(2, K))), G))), G)]).
mm_proof(intnand, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, 1)))), D))))), E)))), d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), D)))), E)))))), E))))), I))), d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(L, J))))), E))), d(d(2, d(1, M)), d(J, d(d(3, d(3, d(1, N))), N))))))), E)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), P)))), E)))), D)))), E)))))), E))))), I))))))), D))))), E)))), O)-[L=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, O))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), F=d(2, d(G, Q)), R=d(3, d(F, S)), M=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, Q))))), E))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), E=d(L, O), D=d(L, d(d(2, d(1, T)), S)), S=d(G, E), P=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), E)))), D)))), E)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), D)))), E), J=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(G, d(d(2, d(1, d(2, S))), O))), O), I=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(T, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), E))), O))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(K, D)))), E)))))), E)))))), D)))), E))), O)))))]).
mm_proof(intnanrd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, 1)))), D))))), E)))), d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(d(2, d(1, d(2, d(1, d(F, H))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), D)))), E)))))), E))))), d(d(d(2, d(1, I)), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), D))))), E)))), H)-[J=d(2, d(1, 1)), G=d(2, d(1, 3)), F=d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), D)))), E))), I=d(3, d(F, K)), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), G), H=d(d(2, 1), 1), E=d(J, H), D=d(J, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, K))), H))), H))), K)), K=d(G, E)]).
mm_proof(adantld, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), d(C, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(C, J))))), G))), d(d(2, d(1, L)), d(J, d(d(3, d(3, d(1, M))), M))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), O)))), G)))), H)))), G)))))), G))))), I))))))), G)-[C=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, N))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), D=d(2, d(E, P)), Q=d(3, d(D, R)), L=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, P))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), G=d(C, N), H=d(C, d(d(2, d(1, S)), R)), R=d(E, G), O=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), J=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(E, d(d(2, d(1, d(2, R))), N))), N), I=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(S, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(K, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(adantrd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), d(C, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(2, d(1, d(D, F))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), d(d(d(2, d(1, I)), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G)-[C=d(2, d(1, 1)), E=d(2, d(1, 3)), D=d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), H)))), G))), I=d(3, d(D, J)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(2, 1), 1), G=d(C, F), H=d(C, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, J))), F))), F))), J)), J=d(E, G)]).
mm_proof('pm3.41', d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), d(B, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(2, d(1, d(C, E))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), d(d(d(2, d(1, H)), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F)-[B=d(2, d(1, 1)), D=d(2, d(1, 3)), A=d(2, d(1, E)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, A)), G)))), F))), H=d(3, d(C, I)), E=d(d(2, 1), 1), F=d(B, E), G=d(B, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, I))), E))), E))), I)), I=d(D, F)]).
mm_proof('pm3.42', d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), d(B, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(B, I))))), F))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), F)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), F)))), G)))), F)))))), F))))), H)))))), F)-[B=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(1, M)), C=d(2, d(D, O)), P=d(3, d(C, Q)), K=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, O))))), F))), M=d(d(2, 1), 1), F=d(B, M), G=d(B, d(d(2, d(1, R)), Q)), Q=d(D, F), N=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), F)))), G)))), F)), O=d(d(2, d(1, d(2, d(d(2, d(1, A)), G)))), F), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(D, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(J, G)))), F)))))), F)))))), G)))), F))), M)))))]).
mm_proof(simpld, d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), d(d(d(2, d(1, F)), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), E)))), D))), F=d(3, d(A, H)), C=d(d(2, 1), 1), D=d(G, C), E=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, H))), C))), C))), H)), H=d(B, D)]).
mm_proof(simprd, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F)))), d(2, d(1, d(G, d(d(H, I), I)))))-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, H))), M=d(2, d(1, K)), A=d(2, d(B, N)), O=d(3, d(A, P)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), D))), K=d(d(2, 1), 1), D=d(J, K), E=d(J, d(d(2, d(1, R)), P)), P=d(B, D), S=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), D)))), E)))), D)), H=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), N=d(d(2, d(1, d(2, d(d(2, d(1, M)), E)))), D), G=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(J, G))))), D))), d(d(2, d(1, Q)), d(G, d(d(3, d(3, d(1, T))), T))))))), D)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S)))), D)))), E)))), D)))))), D))))), F), R=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), F=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), D))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, E)))), D)))))), D)))))), E)))), D))), K)))))]).
mm_proof(simprbi, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G, d(d(H, I), I))))), G))-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, H))), M=d(2, d(1, K)), A=d(2, d(B, N)), O=d(3, d(A, P)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), D))), K=d(d(2, 1), 1), D=d(J, K), E=d(J, d(d(2, d(1, R)), P)), P=d(B, D), S=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), D)))), E)))), D)), H=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), N=d(d(2, d(1, d(2, d(d(2, d(1, M)), E)))), D), G=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(J, G))))), D))), d(d(2, d(1, Q)), d(G, d(d(3, d(3, d(1, T))), T))))))), D)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S)))), D)))), E)))), D)))))), D))))), F), R=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), F=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), D))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, E)))), D)))))), D)))))), E)))), D))), K)))))]).
mm_proof(simplbi, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), E)))), D))), H=d(3, d(A, I)), C=d(d(2, 1), 1), D=d(G, C), E=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, I))), C))), C))), I)), I=d(B, D), F=d(d(2, d(1, H)), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(simprbda, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(2, d(1, I)))))), E))))), D))))))), D)))))), F))-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), A=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), E)))), D))), L=d(3, d(A, M)), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), D=d(J, K), E=d(J, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, M))), K))), K))), M)), M=d(B, D), I=d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(simplbda, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G, d(d(H, I), I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(2, d(1, G)))))), E))))), D))))))), D)))))), F)))-[L=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, H))), O=d(2, d(1, M)), A=d(2, d(B, P)), Q=d(3, d(A, R)), S=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), D))), K=d(d(d(2, d(1, 2)), 1), 1), J=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), D=d(L, M), E=d(L, d(d(2, d(1, T)), R)), R=d(B, D), U=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), D)))), E)))), D)), H=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U), P=d(d(2, d(1, d(2, d(d(2, d(1, O)), E)))), D), G=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(L, G))))), D))), d(d(2, d(1, S)), d(G, d(d(3, d(3, d(1, V))), V))))))), D)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), U)))), D)))), E)))), D)))))), D))))), F), T=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), F=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), D))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, E)))), D)))))), D)))))), E)))), D))), M)))))]).
mm_proof(simplbi2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), D)))), d(C, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), E)-[F=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(I, J))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), I=d(2, d(G, M)), N=d(3, d(I, O)), L=d(3, d(I, d(d(2, d(1, d(2, d(G, d(H, M))))), P))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), J=d(d(2, 1), 1), P=d(F, J), Q=d(F, d(d(2, d(1, R)), O)), O=d(G, P), E=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), P)))), Q)))), P)), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), Q)))), P), C=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(G, d(d(2, d(1, d(2, O))), J))), J), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, C))))), P))), d(d(2, d(1, L)), d(C, d(d(3, d(3, d(1, S))), S))))))), P)), J), S=d(R, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), J))), d(3, d(I, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(K, Q)))), P)))))), P)))))), Q)))), P))), J)))))]).
mm_proof(simplbi2comt, d(A, d(B, d(d(2, d(1, d(2, d(A, d(B, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, C))), D))), d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(B, E))))), D))), C)))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), H)))))), D)))-[B=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, G))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), A=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, D))))), d(1, N)))), L=d(2, d(J, O)), P=d(3, d(L, Q)), M=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, O))))), D))), G=d(d(2, 1), 1), D=d(B, G), R=d(B, d(d(2, d(1, S)), Q)), Q=d(J, D), H=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), R)))), D)), N=d(d(2, d(1, d(2, G))), D), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), R)))), D), E=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C=d(d(2, d(1, M)), d(E, d(d(3, d(3, d(1, T))), T))), S=d(d(2, d(J, d(d(2, d(1, d(2, Q))), G))), G), T=d(S, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), D))), G))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(F, R)))), D)))))), D)))))), R)))), D))), G)))))]).
mm_proof(simpl2im, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F)))), d(2, d(1, d(G, d(d(H, I), I))))))-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, H))), M=d(2, d(1, K)), A=d(2, d(B, N)), O=d(3, d(A, P)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), D))), K=d(d(2, 1), 1), D=d(J, K), E=d(J, d(d(2, d(1, R)), P)), P=d(B, D), S=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), D)))), E)))), D)), H=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), N=d(d(2, d(1, d(2, d(d(2, d(1, M)), E)))), D), G=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(J, G))))), D))), d(d(2, d(1, Q)), d(G, d(d(3, d(3, d(1, T))), T))))))), D)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S)))), D)))), E)))), D)))))), D))))), F), R=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), F=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), D))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, E)))), D)))))), D)))))), E)))), D))), K)))))]).
mm_proof(simplbiim, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G, d(d(H, I), I))))), G)))-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, H))), M=d(2, d(1, K)), A=d(2, d(B, N)), O=d(3, d(A, P)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), D))), K=d(d(2, 1), 1), D=d(J, K), E=d(J, d(d(2, d(1, R)), P)), P=d(B, D), S=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), D)))), E)))), D)), H=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), N=d(d(2, d(1, d(2, d(d(2, d(1, M)), E)))), D), G=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(J, G))))), D))), d(d(2, d(1, Q)), d(G, d(d(3, d(3, d(1, T))), T))))))), D)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S)))), D)))), E)))), D)))))), D))))), F), R=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), F=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), D))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, E)))), D)))))), D)))))), E)))), D))), K)))))]).
mm_proof(impel, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(D, F))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(G, d(H, 2)))), I)))))), J)))))), K)))))), J)))))))), J))))))), d(d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), E=d(2, d(1, 3)), D=d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), K)))), J))), L=d(3, d(D, M)), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), F=d(d(2, 1), 1), J=d(I, F), K=d(I, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, M))), F))), F))), M)), M=d(E, J)]).
mm_proof(mpan9, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(D, F))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, 2)))), I)))))), J)))))), J)))))), K)))))), J)))))))), J))))))), d(d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), E=d(2, d(1, 3)), D=d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), K)))), J))), L=d(3, d(D, M)), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), F=d(d(2, 1), 1), J=d(I, F), K=d(I, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, M))), F))), F))), M)), M=d(E, J)]).
mm_proof(sylan9, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(D, F))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(H, I)))))), 1))))), J)))))), K)))))), I)))))))), I))))))), d(d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[J=d(2, d(1, 1)), H=d(2, d(1, 2)), E=d(2, d(1, 3)), D=d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), K)))), I))), L=d(3, d(D, M)), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), B=d(d(d(2, d(1, 2)), 1), G), F=d(d(2, 1), 1), I=d(J, F), K=d(J, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, M))), F))), F))), M)), M=d(E, I)]).
mm_proof(sylan9r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(D, F))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(H, I)))))), 1))))), J)))))), I)))))), K)))))), I)))))))), I))))))), d(d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[J=d(2, d(1, 1)), H=d(2, d(1, 2)), E=d(2, d(1, 3)), D=d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), K)))), I))), L=d(3, d(D, M)), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), B=d(d(d(2, d(1, 2)), 1), G), F=d(d(2, 1), 1), I=d(J, F), K=d(J, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, M))), F))), F))), M)), M=d(E, I)]).
mm_proof(sylan9bb, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(A, d(B, C)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, H))))), d(G, I))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(E, d(F, d(G, d(J, I)))))), d(G, d(J, H)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, D))), R=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, S))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), X=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), Y=d(d(d(2, d(1, 2)), 1), 3), Z=d(d(d(2, d(1, 2)), 1), M), A1=d(d(d(2, d(1, 2)), 1), N), B1=d(d(d(2, d(1, 2)), 1), O), G=d(d(d(2, d(1, 2)), 1), A), J=d(d(d(2, d(1, 2)), 1), B), C1=d(d(d(2, d(1, 2)), 1), d(A, C)), P=d(d(2, 1), 1), D1=d(K, 1), S=d(K, P), E1=d(K, d(d(2, d(1, F1)), W)), W=d(M, S), G1=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), E1)))), S)), D=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1), T=d(d(2, d(1, d(2, P))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), E1)))), S), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, I1))), I1))), F1=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, A))))), S))), H1)))), S)), P), I=d(C1, J1), H=d(C1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(Y, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(Z, d(A1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, J1))), d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G1))))), S))))), E1))))), S))))))), S)))))), K1)), J1=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(Y, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(Z, d(A1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, K)))), E1))))), S))))))), S)))))), K1), K1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(F1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), S))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, E1)))), S)))))), S)))))), E1)))), S))), P))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, H1)))))))), S))), d(L, d(2, d(1, A))))))), S)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, D)))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), D1)))), S)))))), d(R, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), D1)))), S)))))]).
mm_proof(sylan9bbr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(H, d(I, J)))), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(N, O))))), d(N, P))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(L, d(M, d(N, d(Q, P)))))), d(N, d(Q, O))))))))), R))))))), S)))))), T)))))), U)))))), T)))))))), T))))))), V)-[W=d(2, d(1, 1)), X=d(2, d(1, 2)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(A1, B1))))), C1=d(2, d(1, d(2, K))), D1=d(2, d(X, d(d(2, d(1, d(2, d(1, d(X, T))))), d(1, E1)))), A1=d(2, d(Y, F1)), G1=d(3, d(A1, H1)), I1=d(3, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, F1))))), T))), M=d(d(d(2, d(1, 2)), 1), 1), L=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), Y), G=d(d(d(2, d(1, 2)), 1), Z), E=d(d(d(2, d(1, 2)), 1), A1), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), L), N=d(d(d(2, d(1, 2)), 1), H), Q=d(d(d(2, d(1, 2)), 1), I), J1=d(d(d(2, d(1, 2)), 1), d(H, J)), B1=d(d(2, 1), 1), K1=d(W, 1), T=d(W, B1), U=d(W, d(d(2, d(1, L1)), H1)), H1=d(Y, T), S=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), U)))), T)), K=d(d(2, d(1, d(2, d(1, d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), E1=d(d(2, d(1, d(2, B1))), T), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B1)))), U)))), T), H=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(1, I1)), d(H, d(d(3, d(3, d(1, N1))), N1))), L1=d(d(2, d(Y, d(d(2, d(1, d(2, H1))), B1))), B1), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(W, H))))), T))), M1)))), T)), B1), P=d(J1, O1), O=d(J1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(L, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, O1))), R)))))), S))))), T))))), U))))), T))))))), T)))))), V)), O1=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(L, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, d(L, W)))), U))))), T))))))), T)))))), V), V=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(L1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), T))), B1))), d(3, d(A1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, d(d(2, d(1, d(2, d(C1, U)))), T)))))), T)))))), U)))), T))), B1))))), J=d(d(K, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(W, d(X, d(2, d(1, M1)))))))), T))), d(X, d(2, d(1, H))))))), T)), B1)), d(d(2, d(X, d(d(2, d(1, d(2, d(1, K)))), d(D1, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), K1)))), T)))))), d(D1, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), K1)))), T)))))]).
mm_proof(jcad, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I)))))))-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), P)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof(jca2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I))))))))), 1)-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), P)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof(jca31, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, C))), D)))))), D)-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(H, D))))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L=d(2, d(1, D)), H=d(2, d(F, M)), N=d(3, d(H, O)), J=d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, M))))), P))), Q=d(d(d(2, d(1, 2)), 1), 1), R=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(R, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(R, d(Q, d(R, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(E, S))))), P))), d(d(2, d(1, J)), d(S, d(d(3, d(3, d(1, T))), T))))))), P)), D), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), K))))), E))))), P)))), D=d(d(2, 1), 1), P=d(E, D), U=d(E, d(d(2, d(1, V)), O)), O=d(F, P), K=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), P)))), U)))), P)), M=d(d(2, d(1, d(2, d(d(2, d(1, L)), U)))), P), S=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(F, d(d(2, d(1, d(2, O))), D))), D), T=d(V, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), P))), D))), d(3, d(H, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(I, U)))), P)))))), P)))))), U)))), P))), D)))))]).
mm_proof(jca32, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(D, E))))), H))))))), I)))))))), H))))))))), I)-[E=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, I))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), P=d(2, d(1, I)), L=d(2, d(J, Q)), R=d(3, d(L, S)), N=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Q))))), H))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), D=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(E, T))))), H))), d(d(2, d(1, N)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), O))))), C=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), F), I=d(d(2, 1), 1), H=d(E, I), V=d(E, d(d(2, d(1, W)), S)), S=d(J, H), O=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), V)))), H)), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), V)))), H), T=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(J, d(d(2, d(1, d(2, S))), I))), I), U=d(W, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), H))), I))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, V)))), H)))))), H)))))), V)))), H))), I)))))]).
mm_proof(jcai, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(2, d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), H))), d(d(2, d(1, I)), d(E, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), 2)))))))), H))))), d(d(2, 1), 1))))), K)-[G=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, K))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), D=d(2, d(1, K)), O=d(2, d(M, P)), Q=d(3, d(O, R)), I=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, P))))), H))), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 2)), K=d(d(2, 1), 1), H=d(G, K), S=d(G, d(d(2, d(1, T)), R)), R=d(M, H), L=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), S)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, D)), S)))), H), E=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(M, d(d(2, d(1, d(2, R))), K))), K), J=d(T, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), H))), K))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(F, S)))), H)))))), H)))))), S)))), H))), K)))))]).
mm_proof(jcab, d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), d(C, d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, H))))), I)))), J)))), K)))), J)))))), J))))), L)))))))), J))), G)), M)), d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(2, d(1, B)))))), K)))), J)))))), J))))), L))-[C=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, M))))), N=d(2, d(1, d(2, A))), O=d(2, d(1, M)), G=d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L))), D=d(2, d(E, P)), Q=d(3, d(D, R)), S=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, P))))), J))), M=d(d(2, 1), 1), J=d(C, M), K=d(C, d(d(2, d(1, T)), R)), R=d(E, J), I=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), K)))), J)), B=d(d(2, d(1, d(2, d(1, d(O, H))))), I), A=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I), P=d(d(2, d(1, d(2, d(d(2, d(1, O)), K)))), J), U=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(E, d(d(2, d(1, d(2, R))), M))), M), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(C, U))))), J))), d(d(2, d(1, S)), d(U, d(d(3, d(3, d(1, V))), V))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), M))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(N, K)))), J)))))), J)))))), K)))), J))), M)))))]).
mm_proof('pm4.76', d(A, d(d(B, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), d(D, d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, I))))), J)))), K)))), L)))), K)))))), K))))), M)))))))), K))), H)), N)), d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(2, d(1, C)))))), L)))), K)))))), K))))), M)))-[D=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, N))))), O=d(2, d(1, d(2, B))), P=d(2, d(1, N)), H=d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), L)))), K)))))), K))))), M))), E=d(2, d(F, Q)), R=d(3, d(E, S)), T=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, Q))))), K))), N=d(d(2, 1), 1), K=d(D, N), L=d(D, d(d(2, d(1, U)), S)), S=d(F, K), J=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), L)))), K)), C=d(d(2, d(1, d(2, d(1, d(P, I))))), J), B=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), L)))), K), V=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(F, d(d(2, d(1, d(2, S))), N))), N), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, V))))), K))), d(d(2, d(1, T)), d(V, d(d(3, d(3, d(1, W))), W))))))), K)), N), M=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(V, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), N))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(O, L)))), K)))))), K)))))), L)))), K))), N)))))]).
mm_proof(jctil, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, D))))), G))), d(d(2, d(1, H)), d(D, d(d(3, d(3, d(1, I))), I))))))), G)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), K))))), F))))), G))))), 1)))), J)-[F=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), C=d(2, d(1, J)), N=d(2, d(L, O)), P=d(3, d(N, Q)), H=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, O))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), J=d(d(2, 1), 1), G=d(F, J), R=d(F, d(d(2, d(1, S)), Q)), Q=d(L, G), K=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), R)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, C)), R)))), G), D=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(L, d(d(2, d(1, d(2, Q))), J))), J), I=d(S, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), G))), J))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(E, R)))), G)))))), G)))))), R)))), G))), J)))))]).
mm_proof(jctir, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, D))))), G))), d(d(2, d(1, H)), d(D, d(d(3, d(3, d(1, I))), I))))))), G)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), K))))), d(d(d(d(2, d(1, 2)), 1), F), 1)))))), G))))))), J)-[F=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), C=d(2, d(1, J)), N=d(2, d(L, O)), P=d(3, d(N, Q)), H=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, O))))), G))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), J=d(d(2, 1), 1), G=d(F, J), R=d(F, d(d(2, d(1, S)), Q)), Q=d(L, G), K=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), R)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, C)), R)))), G), D=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(L, d(d(2, d(1, d(2, Q))), J))), J), I=d(S, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), G))), J))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(E, R)))), G)))))), G)))))), R)))), G))), J)))))]).
mm_proof(jccir, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(2, d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), H))), d(d(2, d(1, I)), d(E, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(M, 1))))))))), H))))), d(d(2, 1), 1))))), K)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, K))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), D=d(2, d(1, K)), P=d(2, d(N, Q)), R=d(3, d(P, S)), I=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), H))), M=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), B=d(d(d(2, d(1, 2)), 1), M), K=d(d(2, 1), 1), H=d(G, K), T=d(G, d(d(2, d(1, U)), S)), S=d(N, H), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), T)))), H)), Q=d(d(2, d(1, d(2, d(d(2, d(1, D)), T)))), H), E=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(N, d(d(2, d(1, d(2, S))), K))), K), J=d(U, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), H))), K))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(F, T)))), H)))))), H)))))), T)))), H))), K)))))]).
mm_proof(jccil, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(2, d(D, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, 1))))))))), J))))), d(d(2, 1), 1))))), K))-[H=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, K))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, A))))), J))), d(d(2, d(1, Q)), d(A, d(d(3, d(3, d(1, R))), R))))))), J)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S)))), P=d(2, d(1, d(2, B))), O=d(2, d(1, K)), N=d(2, d(L, T)), U=d(3, d(N, V)), Q=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, T))))), J))), I=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), E=d(d(d(2, d(1, 2)), 1), I), K=d(d(2, 1), 1), J=d(H, K), W=d(H, d(d(2, d(1, X)), V)), V=d(L, J), S=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), W)))), J)), B=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), T=d(d(2, d(1, d(2, d(d(2, d(1, O)), W)))), J), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, J)))), W)))), J)))))), J))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(L, d(d(2, d(1, d(2, V))), K))), K), R=d(X, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), J))), K))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, W)))), J)))))), J)))))), W)))), J))), K)))))]).
mm_proof(jctild, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I)))))), D))))-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), P)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof(jctird, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I))))))))), D)-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), P)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof(iba, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), F))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, H))))), F))), d(d(2, d(1, J)), d(H, d(d(3, d(3, d(1, K))), K))))))), F)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), M)))), F))))), F)), L)-[B=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, L))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), I=d(2, d(1, L)), C=d(2, d(D, N)), O=d(3, d(C, P)), J=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, N))))), F))), L=d(d(2, 1), 1), F=d(B, L), G=d(B, d(d(2, d(1, Q)), P)), P=d(D, F), M=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), F)))), G)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, I)), G)))), F), H=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(D, d(d(2, d(1, d(2, P))), L))), L), K=d(Q, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), L))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(A, G)))), F)))))), F)))))), G)))), F))), L)))))]).
mm_proof(ibar, d(d(A, d(B, C)), d(d(D, d(d(2, d(1, d(A, E))), d(A, F))), d(d(2, d(1, d(A, d(B, F)))), d(A, d(B, E)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, D))), N=d(2, d(1, L)), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), K=d(2, d(I, R)), S=d(3, d(K, T)), U=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, R))))), P))), L=d(d(2, 1), 1), V=d(G, 1), P=d(G, L), W=d(G, d(d(2, d(1, X)), T)), T=d(I, P), Y=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), W)))), P)), D=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), Q=d(d(2, d(1, d(2, L))), P), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), W)))), P), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Y)))), P), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, B1))), B1))), C1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), P)))))), P))))), D1), X=d(d(2, d(I, d(d(2, d(1, d(2, T))), L))), L), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, A))))), P))), A1)))), P)), L), D1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(A, C), B1=d(X, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), P))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, W)))), P)))))), P)))))), W)))), P))), L))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, d(2, d(1, A))))))), P)), L)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, D)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), V)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), V)))), P))))), E=d(E1, d(1, d(d(D, C1), C1))), F=d(E1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), P)))))), P))))), D1))))))), P))), Z)))), P)), L))]).
mm_proof(biantrud, d(2, d(1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), F))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, H))))), F))), d(d(2, d(1, J)), d(H, d(d(3, d(3, d(1, K))), K))))))), F)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), M)))), F))))), F)), L)))-[B=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, L))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), I=d(2, d(1, L)), C=d(2, d(D, N)), O=d(3, d(C, P)), J=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, N))))), F))), L=d(d(2, 1), 1), F=d(B, L), G=d(B, d(d(2, d(1, Q)), P)), P=d(D, F), M=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), F)))), G)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, I)), G)))), F), H=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(D, d(d(2, d(1, d(2, P))), L))), L), K=d(Q, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), L))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(A, G)))), F)))))), F)))))), G)))), F))), L)))))]).
mm_proof(biantrurd, d(2, d(1, d(d(A, d(B, C)), d(d(D, d(d(2, d(1, d(A, E))), d(A, F))), d(d(2, d(1, d(A, d(B, F)))), d(A, d(B, E)))))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, D))), N=d(2, d(1, L)), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), K=d(2, d(I, R)), S=d(3, d(K, T)), U=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, R))))), P))), L=d(d(2, 1), 1), V=d(G, 1), P=d(G, L), W=d(G, d(d(2, d(1, X)), T)), T=d(I, P), Y=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), W)))), P)), D=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), Q=d(d(2, d(1, d(2, L))), P), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), W)))), P), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Y)))), P), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, B1))), B1))), C1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), P)))))), P))))), D1), X=d(d(2, d(I, d(d(2, d(1, d(2, T))), L))), L), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, A))))), P))), A1)))), P)), L), D1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(A, C), B1=d(X, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), P))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, W)))), P)))))), P)))))), W)))), P))), L))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, d(2, d(1, A))))))), P)), L)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, D)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), V)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), V)))), P))))), E=d(E1, d(1, d(d(D, C1), C1))), F=d(E1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), P)))))), P))))), D1))))))), P))), Z)))), P)), L))]).
mm_proof(bianfi, d(d(d(d(2, d(1, 2)), 1), d(A, d(B, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(F, d(G, H))))))), I))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, d(J, H))))), I)))), I)))))), I)), K)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(F, d(G, K))))))), I))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, d(J, K))))), I)))), I)))))), I)), K))))), d(d(2, d(d(d(d(2, d(1, 2)), 1), C), d(L, d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(N, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(N, d(L, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(N, d(L, d(N, d(L, 1))))), O))))), I)))), K)))), d(3, d(P, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(F, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(F, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), O)))), I)))))), I))))), R))), d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S)))), I)))), O)))), I)))))), I))))), R)))))), O)))), I))), K)))))))), 1))-[E=d(2, d(1, 1)), T=d(2, d(1, 2)), F=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, U)))), D=d(2, d(1, d(2, C))), G=d(2, d(1, A)), J=d(2, d(1, d(A, d(d(C, B), B)))), V=d(2, d(T, d(d(2, d(1, d(2, d(1, d(T, I))))), d(1, W)))), P=d(2, d(F, X)), Y=d(3, d(P, Z)), A1=d(3, d(P, d(d(2, d(1, d(2, d(F, d(Q, X))))), I))), L=d(d(d(2, d(1, 2)), 1), 1), N=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), B1=d(E, 1), I=d(E, K), O=d(E, C1), Z=d(F, I), S=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), O)))), I)), C=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), W=d(d(2, d(1, d(2, K))), I), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), O)))), I), A=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, A1)), d(A, d(d(3, d(3, d(1, E1))), E1))), C1=d(d(2, d(1, M)), Z), M=d(d(2, d(F, d(d(2, d(1, d(2, Z))), K))), K), U=d(P, K), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, A))))), I))), D1)))), I)), K), R=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F1=d(A, d(B, G1)), H1=d(A, G1), E1=d(M, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), I))), K))), d(3, d(P, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(F, d(Q, d(d(2, d(1, d(2, d(D, O)))), I)))))), I)))))), O)))), I))), K))))), I1=d(d(C, U), C1), G1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(T, d(2, d(1, D1)))))))), I))), d(T, G))))), I)), K)), d(d(2, d(T, d(d(2, d(1, d(2, d(1, C)))), d(V, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B1)))), I)))))), d(V, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), B1)))), I))))), H=d(F1, d(d(C, d(d(2, d(1, d(A, J1))), d(A, K1))), d(d(2, d(1, d(A, d(B, K1)))), d(A, d(B, J1))))), L1=d(H1, d(1, d(B, I1))), J1=d(H1, d(1, I1)), M1=d(H1, K), K1=d(H1, d(F1, d(d(C, d(d(2, d(1, d(A, M1))), d(A, L1))), d(d(2, d(1, d(A, d(B, L1)))), d(A, d(B, M1))))))]).
mm_proof(bianfd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), C), d(D, d(E, d(F, G)))))))), H)))), d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(I, d(d(J, K), K))))), G)))))), H))))), H))))))), H))), L)-[M=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), C=d(2, d(1, d(2, J))), P=d(2, d(N, Q)), R=d(3, d(P, S)), T=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), M), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, I))), L=d(d(2, 1), 1), H=d(M, L), U=d(M, d(d(2, d(1, V)), S)), S=d(N, H), J=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), U)))), H))), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), U)))), H), I=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(M, I))))), H))), d(d(2, d(1, T)), d(I, d(d(3, d(3, d(1, W))), W))))))), H)), L), G=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(M, 1))))), H))), 1)))), H))))), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, 1)))), U))))), H)))), d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), U)))), H)))))), H))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), U))))), H)))), L))))))), H)))), d(d(2, 1), 1)))), L), W=d(V, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), H))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(C, U)))), H)))))), H)))))), U)))), H))), L)))))]).
mm_proof(baib, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C))))), d(d(d(d(2, d(1, 2)), 1), D), d(d(2, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(E, d(F, G)))), d(A, H)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(C, H))))), d(F, d(d(d(d(2, d(1, 2)), 1), C), G))))))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, B))), P=d(2, d(1, N)), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), M=d(2, d(K, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, T))))), R))), E=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), A), N=d(d(2, 1), 1), X=d(I, 1), R=d(I, N), Y=d(I, d(d(2, d(1, Z)), V)), V=d(K, R), A1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Y)))), R)), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), S=d(d(2, d(1, d(2, N))), R), T=d(d(2, d(1, d(2, d(d(2, d(1, P)), Y)))), R), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(A, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), A1)))), R), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, D1))), D1))), E1=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), R)))))), R))))), F1), Z=d(d(2, d(K, d(d(2, d(1, d(2, V))), N))), N), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, A))))), R))), C1)))), R)), N), G=d(d(d(d(2, d(1, 2)), 1), G1), d(E, C)), F1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(A, d(C, H1)), G1=d(A, H1), D1=d(Z, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), R))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, Y)))), R)))))), R)))))), Y)))), R))), N))))), H1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(J, d(2, d(1, C1)))))))), R))), d(J, d(2, d(1, A))))))), R)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), X)))), R))))), I1=d(G1, d(1, d(d(B, E1), E1))), J1=d(G1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), R)))))), R))))), F1))))))), R))), B1)))), R)), N)), H=d(G1, d(D, d(d(B, d(d(2, d(1, d(A, I1))), d(A, J1))), d(d(2, d(1, d(A, d(C, J1)))), d(A, d(C, I1))))))]).
mm_proof(baibr, d(A, d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(2, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(D, d(E, F)))), d(G, H)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G, d(I, H))))), d(E, d(d(d(d(2, d(1, 2)), 1), I), F)))))))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, C))), Q=d(2, d(1, O)), R=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, S))))), d(1, T)))), N=d(2, d(L, U)), V=d(3, d(N, W)), X=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, U))))), S))), D=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G, d(d(C, I), I))))), E=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), Y=d(J, 1), S=d(J, O), Z=d(J, d(d(2, d(1, A1)), W)), W=d(L, S), B1=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S)), C=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1), T=d(d(2, d(1, d(2, O))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, Q)), Z)))), S), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(G, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), B1)))), S), G=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, X)), d(G, d(d(3, d(3, d(1, E1))), E1))), F1=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), S)))))), S))))), G1), A1=d(d(2, d(L, d(d(2, d(1, d(2, W))), O))), O), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, G))))), S))), D1)))), S)), O), F=d(d(d(d(2, d(1, 2)), 1), H1), d(D, I)), G1=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(G, d(I, I1)), H1=d(G, I1), E1=d(A1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, Z)))), S)))))), S)))))), Z)))), S))), O))))), I1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, d(K, d(2, d(1, D1)))))))), S))), d(K, d(2, d(1, G))))))), S)), O)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, C)))), d(R, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), Y)))), S)))))), d(R, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), Y)))), S))))), J1=d(H1, d(1, d(d(C, F1), F1))), K1=d(H1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Z)))), S)))))), S))))), G1))))))), S))), C1)))), S)), O)), H=d(H1, d(B, d(d(C, d(d(2, d(1, d(G, J1))), d(G, K1))), d(d(2, d(1, d(G, d(I, K1)))), d(G, d(I, J1))))))]).
mm_proof(rbaibr, d(A, d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(2, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, G)))), d(H, I)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, d(J, I))))), d(F, d(K, G)))))))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(1, Q)), U=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, V))))), d(1, W)))), P=d(2, d(N, X)), Y=d(3, d(P, Z)), A1=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, X))))), V))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, d(d(S, J), J))))), C=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), H), K=d(d(d(2, d(1, 2)), 1), J), Q=d(d(2, 1), 1), B1=d(L, 1), V=d(L, Q), C1=d(L, d(d(2, d(1, D1)), Z)), Z=d(N, V), E1=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), C1)))), V)), S=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1), W=d(d(2, d(1, d(2, Q))), V), X=d(d(2, d(1, d(2, d(d(2, d(1, T)), C1)))), V), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(H, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), E1)))), V), H=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(1, A1)), d(H, d(d(3, d(3, d(1, H1))), H1))), I1=d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), C1)))), V)))))), V))))), J1), D1=d(d(2, d(N, d(d(2, d(1, d(2, Z))), Q))), Q), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, H))))), V))), G1)))), V)), Q), G=d(d(d(d(2, d(1, 2)), 1), K1), d(E, d(K, d(d(2, d(C, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, L1)))), H))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, J)))), d(H, d(J, L1))))))), J1=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(H, d(J, M1)), K1=d(H, M1), H1=d(D1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), V))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, C1)))), V)))))), V)))))), C1)))), V))), Q))))), L1=d(J, N1), N1=d(d(S, I1), I1), M1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, G1)))))))), V))), d(M, d(2, d(1, H))))))), V)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(U, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), B1)))), V)))))), d(U, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), B1)))), V))))), O1=d(K1, d(1, N1)), P1=d(K1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(1, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), C1)))), V)))))), V))))), J1))))))), V))), F1)))), V)), Q)), I=d(K1, d(B, d(d(S, d(d(2, d(1, d(H, O1))), d(H, P1))), d(d(2, d(1, d(H, d(J, P1)))), d(H, d(J, O1))))))]).
mm_proof(rbaib, d(A, d(A, d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(2, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, G)))), d(H, I)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, d(J, I))))), d(F, d(K, G))))))))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(1, Q)), U=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, V))))), d(1, W)))), P=d(2, d(N, X)), Y=d(3, d(P, Z)), A1=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, X))))), V))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, d(d(S, J), J))))), C=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), H), K=d(d(d(2, d(1, 2)), 1), J), Q=d(d(2, 1), 1), B1=d(L, 1), V=d(L, Q), C1=d(L, d(d(2, d(1, D1)), Z)), Z=d(N, V), E1=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), C1)))), V)), S=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1), W=d(d(2, d(1, d(2, Q))), V), X=d(d(2, d(1, d(2, d(d(2, d(1, T)), C1)))), V), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(H, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), E1)))), V), H=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(1, A1)), d(H, d(d(3, d(3, d(1, H1))), H1))), I1=d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), C1)))), V)))))), V))))), J1), D1=d(d(2, d(N, d(d(2, d(1, d(2, Z))), Q))), Q), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, H))))), V))), G1)))), V)), Q), G=d(d(d(d(2, d(1, 2)), 1), K1), d(E, d(K, d(d(2, d(C, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, L1)))), H))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, J)))), d(H, d(J, L1))))))), J1=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(H, d(J, M1)), K1=d(H, M1), H1=d(D1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), V))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, C1)))), V)))))), V)))))), C1)))), V))), Q))))), L1=d(J, N1), N1=d(d(S, I1), I1), M1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, G1)))))))), V))), d(M, d(2, d(1, H))))))), V)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, S)))), d(U, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), B1)))), V)))))), d(U, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), B1)))), V))))), O1=d(K1, d(1, N1)), P1=d(K1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(1, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), C1)))), V)))))), V))))), J1))))))), V))), F1)))), V)), Q)), I=d(K1, d(B, d(d(S, d(d(2, d(1, d(H, O1))), d(H, P1))), d(d(2, d(1, d(H, d(J, P1)))), d(H, d(J, O1))))))]).
mm_proof(baibd, d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, d(d(d(d(2, d(1, 2)), 1), I), F))))), d(C, d(I, D)))))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, B))), Q=d(2, d(1, O)), R=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, S))))), d(1, T)))), N=d(2, d(L, U)), V=d(3, d(N, W)), X=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, U))))), S))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), C), O=d(d(2, 1), 1), Y=d(J, 1), S=d(J, O), Z=d(J, d(d(2, d(1, A1)), W)), W=d(L, S), B1=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S)), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1), T=d(d(2, d(1, d(2, O))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, Q)), Z)))), S), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, D1))))), B1)))), S), C=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, X)), d(C, d(d(3, d(3, d(1, F1))), F1))), G1=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), S)))))), S))))), H1), A1=d(d(2, d(L, d(d(2, d(1, d(2, W))), O))), O), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, C))))), S))), E1)))), S)), O), F=d(d(d(d(2, d(1, 2)), 1), I1), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, J)))), Z))))), S))))))), S)))))), H1)), H1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D1=d(C, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(C, d(I, J1)), I1=d(C, J1), F1=d(A1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(P, Z)))), S)))))), S)))))), Z)))), S))), O))))), J1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, d(K, d(2, d(1, E1)))))))), S))), d(K, d(2, d(1, C))))))), S)), O)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, B)))), d(R, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y)))), S)))))), d(R, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), Y)))), S))))), K1=d(I1, d(1, d(d(B, G1), G1))), D=d(I1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(d(2, d(1, d(C, d(d(B, I), I)))), d(A, d(d(B, d(d(2, d(1, d(C, K1))), d(C, L1))), d(d(2, d(1, d(C, d(I, L1)))), d(C, d(I, K1)))))))))), Z)))), S)))))), S))))), H1))), D1))))), B1)))), S)))), Z)))), S)))))), S))))), H1)), L1=d(I1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(J, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Z)))), S)))))), S))))), H1))))))), S))), C1)))), S)), O))]).
mm_proof(rbaibd, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, d(I, F))))), d(C, d(J, D)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, P)), T=d(2, d(1, d(C, U))), V=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, W))))), d(1, X)))), O=d(2, d(M, Y)), Z=d(3, d(O, A1)), B1=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, Y))))), W))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), R), E=d(d(d(2, d(1, 2)), 1), C), I=d(d(d(2, d(1, 2)), 1), J), A=d(d(d(2, d(1, 2)), 1), C1), P=d(d(2, 1), 1), D1=d(K, 1), W=d(K, P), E1=d(K, d(d(2, d(1, F1)), A1)), A1=d(M, W), G1=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), E1)))), W)), R=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1), X=d(d(2, d(1, d(2, P))), W), Y=d(d(2, d(1, d(2, d(d(2, d(1, S)), E1)))), W), H1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, I1))))), G1)))), W), C=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, B1)), d(C, d(d(3, d(3, d(1, K1))), K1))), L1=d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), E1)))), W)))))), W))))), M1), F1=d(d(2, d(M, d(d(2, d(1, d(2, A1))), P))), P), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, C))))), W))), J1)))), W)), P), F=d(d(d(d(2, d(1, 2)), 1), N1), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), O), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), K), d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), T), d(E, N1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, d(I, N1))))), O1)))))))), E1))))), W))))))), W)))))), M1)), M1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(C, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(C, d(J, P1)), O1=d(C, d(J, U)), N1=d(C, P1), K1=d(F1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), W))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, E1)))), W)))))), W)))))), E1)))), W))), P))))), P1=d(d(R, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, J1)))))))), W))), d(L, d(2, d(1, C))))))), W)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, R)))), d(V, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), D1)))), W)))))), d(V, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), D1)))), W))))), U=d(N1, d(1, d(d(R, L1), L1))), D=d(N1, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, d(d(2, d(1, d(C, d(d(R, J), J)))), d(C1, d(d(R, d(T, d(C, Q1))), d(d(2, d(1, d(C, d(J, Q1)))), O1)))))))), E1)))), W)))))), W))))), M1))), I1))))), G1)))), W)))), E1)))), W)))))), W))))), M1)), Q1=d(N1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(1, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), E1)))), W)))))), W))))), M1))))))), W))), H1)))), W)), P))]).
mm_proof(bianabs, d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(E, d(d(d(d(2, d(1, 2)), 1), G), F))))), d(C, d(G, D)))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, B))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), E=d(d(d(2, d(1, 2)), 1), C), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), Z=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q)), B=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), X)))), Q), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(C, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Z)))), Q), C=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, V)), d(C, d(d(3, d(3, d(1, C1))), C1))), D1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), Q)))))), Q))))), E1), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, C))))), Q))), B1)))), Q)), M), E1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A=d(C, d(G, F1)), F=d(C, F1), C1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), F1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, d(2, d(1, C))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), W)))), Q))))), G1=d(F, d(1, d(d(B, D1), D1))), D=d(F, d(d(2, d(1, d(C, d(d(B, G), G)))), d(A, d(d(B, d(d(2, d(1, d(C, G1))), d(C, H1))), d(d(2, d(1, d(C, d(G, H1)))), d(C, d(G, G1))))))), H1=d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), X)))), Q)))))), Q))))), E1))))))), Q))), A1)))), Q)), M))]).
mm_proof('pm5.44', d(A, d(A, d(B, d(d(C, d(d(2, d(1, d(D, E))), d(D, F))), d(d(2, d(1, d(D, d(G, F)))), d(D, d(G, E)))))))-[H=d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M)))), L)))))), L))))), N)), O=d(2, d(1, 1)), P=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, Q))))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, C))), U=d(2, d(1, Q)), V=d(2, H), A=d(2, d(1, d(D, d(d(C, G), G)))), W=d(2, d(P, d(d(2, d(1, d(2, d(1, d(P, L))))), d(1, X)))), I=d(2, d(J, Y)), Z=d(3, d(I, A1)), B1=d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, Y))))), L))), Q=d(d(2, 1), 1), C1=d(O, 1), L=d(O, Q), M=d(O, d(d(2, d(1, D1)), A1)), A1=d(J, L), E1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), M)))), L)), S=d(d(2, d(1, d(2, d(1, d(U, F1))))), E1), C=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1), X=d(d(2, d(1, d(2, Q))), L), Y=d(d(2, d(1, d(2, d(d(2, d(1, U)), M)))), L), G1=d(R, L), D=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, B1)), d(D, d(d(3, d(3, d(1, I1))), I1))), J1=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), M)))), L)))))), L))))), N), D1=d(d(2, d(J, d(d(2, d(1, d(2, A1))), Q))), Q), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(O, D))))), L))), H1)))), L)), Q), N=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F1=d(D, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B=d(D, d(G, K1)), L1=d(D, K1), I1=d(D1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), Q))), d(3, d(I, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(T, M)))), L)))))), L)))))), M)))), L))), Q))))), K1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(O, d(P, d(2, d(1, H1)))))))), L))), d(P, d(2, d(1, D))))))), L)), Q)), d(d(2, d(P, d(d(2, d(1, d(2, d(1, C)))), d(W, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), C1)))), L)))))), d(W, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), C1)))), L))))), E=d(L1, d(1, d(G, d(d(C, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(O, d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, F1))))), E1)))), L)))), M)))), L)))))), L))))), N)))))))), L))), V)), Q)), d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(2, d(1, S)))))), M)))), L)))))), L))))), N))))), M1=d(L1, d(1, d(d(C, J1), J1))), N1=d(L1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(O, H))))), L))), G1)))), L)), Q)), F=d(L1, d(B, d(d(C, d(d(2, d(1, d(D, M1))), d(D, N1))), d(d(2, d(1, d(D, d(G, N1)))), d(D, d(G, M1))))))]).
mm_proof('pm5.42', d(A, d(d(2, d(1, A)), d(B, d(d(C, d(D, E)), d(d(F, d(d(2, d(1, d(C, G))), d(C, H))), d(d(2, d(1, d(C, d(D, H)))), d(C, d(D, G))))))))-[B=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, F))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(B, 1), Q=d(B, M), X=d(B, d(d(2, d(1, Y)), U)), U=d(J, Q), Z=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q)), F=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), X)))), Q), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(C, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Z)))), Q), C=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, V)), d(C, d(d(3, d(3, d(1, C1))), C1))), D1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), Q)))))), Q))))), E1), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(B, C))))), Q))), B1)))), Q)), M), E1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A=d(C, E), C1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), E=d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(B, d(I, d(2, d(1, B1)))))))), Q))), d(I, d(2, d(1, C))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, F)))), d(P, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), W)))), Q)))))), d(P, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), W)))), Q))))), G=d(A, d(1, d(d(F, D1), D1))), H=d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(B, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), X)))), Q)))))), Q))))), E1))))))), Q))), A1)))), Q)), M))]).
mm_proof(ancl, d(2, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I))-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), P)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof(anclb, d(A, d(d(B, d(C, D)), d(d(E, d(d(2, d(1, d(B, F))), d(B, G))), d(d(2, d(1, d(B, d(C, G)))), d(B, d(C, F))))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, E))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), Z=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q)), E=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), X)))), Q), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Z)))), Q), B=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, V)), d(B, d(d(3, d(3, d(1, C1))), C1))), D1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), Q)))))), Q))))), E1), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, B))))), Q))), B1)))), Q)), M), E1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A=d(B, D), C1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), D=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, d(2, d(1, B))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, E)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), W)))), Q))))), F=d(A, d(1, d(d(E, D1), D1))), G=d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), X)))), Q)))))), Q))))), E1))))))), Q))), A1)))), Q)), M))]).
mm_proof(ancr, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I)))), E))-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), P)))), E), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof(ancrb, d(d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(2, d(1, F)))))))), G))), d(E, d(2, d(1, A))))))), G)), H)), d(d(2, d(E, d(d(2, d(1, d(2, d(1, B)))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), G)))))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), J)))), G)))))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), N)))), G)))))), G))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, A))))), G))), F)))), G)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), P)))), G))))), G)), H))-[D=d(2, d(1, 1)), E=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, H))))), C=d(2, d(1, d(2, B))), O=d(2, d(1, H)), I=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, G))))), d(1, Q)))), K=d(2, d(L, R)), S=d(3, d(K, T)), U=d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, R))))), G))), H=d(d(2, 1), 1), J=d(D, 1), G=d(D, H), N=d(D, d(d(2, d(1, V)), T)), T=d(L, G), P=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), N)))), G)), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P), Q=d(d(2, d(1, d(2, H))), G), R=d(d(2, d(1, d(2, d(d(2, d(1, O)), N)))), G), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, W))), W))), V=d(d(2, d(L, d(d(2, d(1, d(2, T))), H))), H), W=d(V, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), G))), H))), d(3, d(K, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(C, N)))), G)))))), G)))))), N)))), G))), H)))))]).
mm_proof(ancld, d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I))))), J)))-[J=d(1, H), D=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, J), M=d(2, d(K, N)), O=d(3, d(M, P)), F=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), E))), H=d(d(2, 1), 1), E=d(D, H), Q=d(D, d(d(2, d(1, R)), P)), P=d(K, E), I=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), Q)))), E)), N=d(d(2, d(1, d(2, d(d(2, d(1, A)), Q)))), E), B=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), H))), H), G=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), E))), H))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(C, Q)))), E)))))), E)))))), Q)))), E))), H)))))]).
mm_proof(ancrd, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I)))))))), J)-[J=d(1, H), D=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, J), M=d(2, d(K, N)), O=d(3, d(M, P)), F=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), E))), H=d(d(2, 1), 1), E=d(D, H), Q=d(D, d(d(2, d(1, R)), P)), P=d(K, E), I=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), Q)))), E)), N=d(d(2, d(1, d(2, d(d(2, d(1, A)), Q)))), E), B=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), H))), H), G=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), E))), H))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(C, Q)))), E)))))), E)))))), Q)))), E))), H)))))]).
mm_proof(impac, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(F, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(I, G))))), J))), d(d(2, d(1, K)), d(G, d(d(3, d(3, d(1, L))), L))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))))))), O))))), P))))), J))))))), J)))))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[O=d(1, M), I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), H=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), F=d(2, O), C=d(2, d(D, Q)), R=d(3, d(C, S)), K=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, Q))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), J=d(I, M), P=d(I, d(d(2, d(1, T)), S)), S=d(D, J), N=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), P)))), J)), Q=d(d(2, d(1, d(2, d(d(2, d(1, F)), P)))), J), G=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(D, d(d(2, d(1, d(2, S))), M))), M), L=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), J))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(H, P)))), J)))))), J)))))), P)))), J))), M)))))]).
mm_proof(anc2l, d(A, d(B, d(d(2, d(1, B)), d(C, d(d(A, d(D, E)), d(d(F, d(d(2, d(1, d(A, G))), d(A, H))), d(d(2, d(1, d(A, d(D, H)))), d(A, d(D, G)))))))))-[C=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, F))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(C, 1), Q=d(C, M), X=d(C, d(d(2, d(1, Y)), U)), U=d(J, Q), Z=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q)), F=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), X)))), Q), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(A, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Z)))), Q), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, C1))), C1))), D1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), Q)))))), Q))))), E1), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(C, A))))), Q))), B1)))), Q)), M), E1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(A, E), C1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), E=d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(C, d(I, d(2, d(1, B1)))))))), Q))), d(I, d(2, d(1, A))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, F)))), d(P, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), W)))), Q)))))), d(P, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), W)))), Q))))), G=d(B, d(1, d(d(F, D1), D1))), H=d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(C, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), X)))), Q)))))), Q))))), E1))))))), Q))), A1)))), Q)), M))]).
mm_proof(anc2r, d(2, d(d(2, d(1, 2)), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(A, C))))), E))), d(d(2, d(1, F)), d(C, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I)))), E))))-[A=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), B=d(2, d(1, H)), L=d(2, d(J, M)), N=d(3, d(L, O)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, M))))), E))), H=d(d(2, 1), 1), E=d(A, H), P=d(A, d(d(2, d(1, Q)), O)), O=d(J, E), I=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, B)), P)))), E), C=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(d(2, d(1, d(2, O))), H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(D, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof('pm4.71', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, A))), M=d(2, d(1, K)), N=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, O))))), d(1, P)))), J=d(2, d(H, Q)), R=d(3, d(J, S)), T=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, Q))))), O))), K=d(d(2, 1), 1), U=d(F, 1), O=d(F, K), V=d(F, d(d(2, d(1, W)), S)), S=d(H, O), X=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), V)))), O)), A=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), P=d(d(2, d(1, d(2, K))), O), Q=d(d(2, d(1, d(2, d(d(2, d(1, M)), V)))), O), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, Z))))), X)))), O), B=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, T)), B1), C1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), O)))))), O))))), D1), E1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), O)))))), O))))), D1), W=d(d(2, d(H, d(d(2, d(1, d(2, S))), K))), K), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(1, C1)))))), O))), Y)))), O)), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, B))))), O))), A1)))), O)), K), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(B, G1), Z=d(B, I1), J1=d(B, K1), H1=d(W, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), O))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, V)))), O)))))), O)))))), V)))), O))), K))))), L1=d(F1, C1), I1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(E, d(d(A, d(d(2, d(1, Z)), B1)), d(d(2, d(1, d(B, d(E, G1)))), d(B, d(E, I1))))), C=d(d(A, d(d(2, d(1, d(B, M1))), d(B, L1))), d(d(2, d(1, d(B, d(E, L1)))), d(B, d(E, M1)))), K1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(G, d(2, d(1, A1)))))))), O))), d(G, d(2, d(1, B))))))), O)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), U)))), O)))))), d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), U)))), O))))), N1=d(J1, d(1, d(d(A, E1), E1))), O1=d(J1, F1), D=d(J1, d(d(B, d(E, K1)), d(d(A, d(d(2, d(1, d(B, N1))), d(B, O1))), d(d(2, d(1, d(B, d(E, O1)))), d(B, d(E, N1))))))]).
mm_proof('pm4.71r', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, A))), M=d(2, d(1, K)), N=d(2, d(1, d(B, d(E, O)))), P=d(2, d(1, d(B, Q))), R=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, S))))), d(1, T)))), J=d(2, d(H, U)), V=d(3, d(J, W)), X=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, U))))), S))), K=d(d(2, 1), 1), Y=d(F, 1), S=d(F, K), Z=d(F, d(d(2, d(1, A1)), W)), W=d(H, S), B1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S)), A=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1), T=d(d(2, d(1, d(2, K))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, M)), Z)))), S), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, D1))))), B1)))), S), B=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, X)), F1), G1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Z)))), S)))))), S))))), H1), I1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), S)))))), S))))), H1), A1=d(d(2, d(H, d(d(2, d(1, d(2, W))), K))), K), J1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(1, G1)))))), S))), C1)))), S)), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, B))))), S))), E1)))), S)), K), K1=d(d(3, d(3, d(1, L1))), L1), H1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F1=d(B, K1), D1=d(B, M1), N1=d(B, d(E, O1)), P1=d(B, d(E, Q)), Q1=d(B, O1), R1=d(B, O), L1=d(A1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Z)))), S)))))), S)))))), Z)))), S))), K))))), S1=d(J1, G1), M1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T1=d(E, d(d(A, d(d(2, d(1, D1)), F1)), d(d(2, d(1, d(B, d(E, K1)))), d(B, d(E, M1))))), U1=d(d(A, I1), I1), V1=d(d(A, d(d(2, d(1, d(B, T1))), d(B, S1))), d(d(2, d(1, d(B, d(E, S1)))), d(B, d(E, T1)))), D=d(d(A, d(d(2, d(1, d(B, V1))), d(B, W1))), d(d(2, d(1, d(B, d(E, W1)))), d(B, d(E, V1)))), O1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(G, d(2, d(1, E1)))))))), S))), d(G, d(2, d(1, B))))))), S)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(R, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Y)))), S)))))), d(R, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), Y)))), S))))), C=d(d(A, d(N1, d(d(A, d(P, R1)), d(N, P1)))), d(N1, d(d(A, d(d(2, d(1, d(B, X1))), R1)), d(N, d(B, d(E, X1)))))), X1=d(Q1, d(1, d(E, U1))), Q=d(Q1, d(1, U1)), O=d(Q1, K), Y1=d(Q1, J1), W1=d(Q1, d(N1, d(d(A, d(P, d(B, Y1))), d(d(2, d(1, d(B, d(E, Y1)))), P1))))]).
mm_proof('pm4.71i', d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C)))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, B))), M=d(2, d(1, K)), N=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, O))))), d(1, P)))), J=d(2, d(H, Q)), R=d(3, d(J, S)), T=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, Q))))), O))), K=d(d(2, 1), 1), U=d(F, 1), O=d(F, K), V=d(F, d(d(2, d(1, W)), S)), S=d(H, O), X=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), V)))), O)), B=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), P=d(d(2, d(1, d(2, K))), O), Q=d(d(2, d(1, d(2, d(d(2, d(1, M)), V)))), O), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, Z))))), X)))), O), A=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, T)), B1), C1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), O)))))), O))))), D1), E1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), O)))))), O))))), D1), W=d(d(2, d(H, d(d(2, d(1, d(2, S))), K))), K), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(1, C1)))))), O))), Y)))), O)), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, A))))), O))), A1)))), O)), K), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(A, G1), Z=d(A, I1), J1=d(A, K1), H1=d(W, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), O))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, V)))), O)))))), O)))))), V)))), O))), K))))), L1=d(F1, C1), I1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(E, d(d(B, d(d(2, d(1, Z)), B1)), d(d(2, d(1, d(A, d(E, G1)))), d(A, d(E, I1))))), C=d(d(B, d(d(2, d(1, d(A, M1))), d(A, L1))), d(d(2, d(1, d(A, d(E, L1)))), d(A, d(E, M1)))), K1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(G, d(2, d(1, A1)))))))), O))), d(G, d(2, d(1, A))))))), O)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), U)))), O)))))), d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), U)))), O))))), N1=d(J1, d(1, d(d(B, E1), E1))), O1=d(J1, F1), D=d(J1, d(d(A, d(E, K1)), d(d(B, d(d(2, d(1, d(A, N1))), d(A, O1))), d(d(2, d(1, d(A, d(E, O1)))), d(A, d(E, N1))))))]).
mm_proof('pm4.71ri', d(d(2, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, C)))), d(D, E)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(D, d(d(d(d(2, d(1, 2)), 1), F), E))))), d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, A))), N=d(2, d(1, L)), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), K=d(2, d(I, R)), S=d(3, d(K, T)), U=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, R))))), P))), D=d(d(d(2, d(1, 2)), 1), B), L=d(d(2, 1), 1), V=d(G, 1), P=d(G, L), W=d(G, d(d(2, d(1, X)), T)), T=d(I, P), Y=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), W)))), P)), A=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), Q=d(d(2, d(1, d(2, L))), P), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), W)))), P), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, A1))))), Y)))), P), B=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, U)), C1), D1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), P)))))), P))))), E1), F1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), P)))))), P))))), E1), X=d(d(2, d(I, d(d(2, d(1, d(2, T))), L))), L), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(1, D1)))))), P))), Z)))), P)), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, B))))), P))), B1)))), P)), L), H1=d(d(3, d(3, d(1, I1))), I1), E1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(B, H1), A1=d(B, J1), E=d(B, d(d(A, d(d(2, d(1, d(B, K1))), d(B, L1))), d(d(2, d(1, d(B, d(F, L1)))), d(B, d(F, K1))))), M1=d(B, N1), I1=d(X, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), P))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, W)))), P)))))), P)))))), W)))), P))), L))))), O1=d(G1, D1), J1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(F, P1), Q1=d(F, d(d(A, d(d(2, d(1, A1)), C1)), d(d(2, d(1, d(B, d(F, H1)))), d(B, d(F, J1))))), P1=d(d(A, F1), F1), K1=d(d(A, d(d(2, d(1, d(B, Q1))), d(B, O1))), d(d(2, d(1, d(B, d(F, O1)))), d(B, d(F, Q1)))), N1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(H, d(2, d(1, B1)))))))), P))), d(H, d(2, d(1, B))))))), P)), L)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), V)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), V)))), P))))), R1=d(M1, d(1, P1)), S1=d(M1, G1), L1=d(M1, d(d(B, d(F, N1)), d(d(A, d(d(2, d(1, d(B, R1))), d(B, S1))), d(d(2, d(1, d(B, d(F, S1)))), d(B, d(F, R1))))))]).
mm_proof('pm4.71d', d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C)))))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, B))), M=d(2, d(1, K)), N=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, O))))), d(1, P)))), J=d(2, d(H, Q)), R=d(3, d(J, S)), T=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, Q))))), O))), K=d(d(2, 1), 1), U=d(F, 1), O=d(F, K), V=d(F, d(d(2, d(1, W)), S)), S=d(H, O), X=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), V)))), O)), B=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), P=d(d(2, d(1, d(2, K))), O), Q=d(d(2, d(1, d(2, d(d(2, d(1, M)), V)))), O), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, Z))))), X)))), O), A=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, T)), B1), C1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), O)))))), O))))), D1), E1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), O)))))), O))))), D1), W=d(d(2, d(H, d(d(2, d(1, d(2, S))), K))), K), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(1, C1)))))), O))), Y)))), O)), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, A))))), O))), A1)))), O)), K), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(A, G1), Z=d(A, I1), J1=d(A, K1), H1=d(W, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), O))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, V)))), O)))))), O)))))), V)))), O))), K))))), L1=d(F1, C1), I1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(E, d(d(B, d(d(2, d(1, Z)), B1)), d(d(2, d(1, d(A, d(E, G1)))), d(A, d(E, I1))))), C=d(d(B, d(d(2, d(1, d(A, M1))), d(A, L1))), d(d(2, d(1, d(A, d(E, L1)))), d(A, d(E, M1)))), K1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(G, d(2, d(1, A1)))))))), O))), d(G, d(2, d(1, A))))))), O)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), U)))), O)))))), d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), U)))), O))))), N1=d(J1, d(1, d(d(B, E1), E1))), O1=d(J1, F1), D=d(J1, d(d(A, d(E, K1)), d(d(B, d(d(2, d(1, d(A, N1))), d(A, O1))), d(d(2, d(1, d(A, d(E, O1)))), d(A, d(E, N1))))))]).
mm_proof('pm4.71rd', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(D, E)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(D, d(d(d(d(2, d(1, 2)), 1), F), E))))), G)))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, B))), O=d(2, d(1, M)), C=d(2, d(1, d(P, Q))), R=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, S))))), d(1, T)))), L=d(2, d(J, U)), V=d(3, d(L, W)), X=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, U))))), S))), D=d(d(d(2, d(1, 2)), 1), P), M=d(d(2, 1), 1), Y=d(H, 1), S=d(H, M), Z=d(H, d(d(2, d(1, A1)), W)), W=d(J, S), B1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S)), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1), T=d(d(2, d(1, d(2, M))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, O)), Z)))), S), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, D1))))), B1)))), S), P=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, X)), F1), G1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Z)))), S)))))), S))))), H1), I1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), S)))))), S))))), H1), A1=d(d(2, d(J, d(d(2, d(1, d(2, W))), M))), M), J1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(1, G1)))))), S))), C1)))), S)), M), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, P))))), S))), E1)))), S)), M), K1=d(d(3, d(3, d(1, L1))), L1), E=d(d(d(d(2, d(1, 2)), 1), M1), d(2, d(1, d(P, d(d(B, d(d(2, d(1, d(P, N1))), d(P, O1))), d(d(2, d(1, d(P, d(F, O1)))), d(P, d(F, N1)))))))), H1=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F1=d(P, K1), D1=d(P, P1), A=d(P, d(F, Q1)), G=d(P, d(F, Q)), M1=d(P, Q1), L1=d(A1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, Z)))), S)))))), S)))))), Z)))), S))), M))))), R1=d(J1, G1), P1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(F, d(d(B, d(d(2, d(1, D1)), F1)), d(d(2, d(1, d(P, d(F, K1)))), d(P, d(F, P1))))), N1=d(d(B, d(d(2, d(1, d(P, S1))), d(P, R1))), d(d(2, d(1, d(P, d(F, R1)))), d(P, d(F, S1)))), Q1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, E1)))))))), S))), d(I, d(2, d(1, P))))))), S)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(R, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), Y)))), S)))))), d(R, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), Y)))), S))))), Q=d(M1, d(1, d(d(B, I1), I1))), T1=d(M1, J1), O1=d(M1, d(A, d(d(B, d(C, d(P, T1))), d(d(2, d(1, d(P, d(F, T1)))), G))))]).
mm_proof('pm4.24', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), F)-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, F))))), L=d(2, d(1, d(2, B))), M=d(2, d(1, F)), N=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, O))))), d(1, P)))), K=d(2, d(I, Q)), R=d(3, d(K, S)), T=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, Q))))), O))), F=d(d(2, 1), 1), U=d(G, 1), O=d(G, F), V=d(G, d(d(2, d(1, W)), S)), S=d(I, O), X=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), V)))), O)), B=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), P=d(d(2, d(1, d(2, F))), O), Q=d(d(2, d(1, d(2, d(d(2, d(1, M)), V)))), O), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, Z))))), X)))), O), A=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, T)), B1), C1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), O)))))), O))))), D1), E1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), O)))))), O))))), D1), W=d(d(2, d(I, d(d(2, d(1, d(2, S))), F))), F), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(1, C1)))))), O))), Y)))), O)), F), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, A))))), O))), A1)))), O)), F), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(A, G1), Z=d(A, I1), J1=d(A, K1), H1=d(W, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), O))), F))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, V)))), O)))))), O)))))), V)))), O))), F))))), L1=d(F1, C1), I1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(E, d(d(B, d(d(2, d(1, Z)), B1)), d(d(2, d(1, d(A, d(E, G1)))), d(A, d(E, I1))))), C=d(d(B, d(d(2, d(1, d(A, M1))), d(A, L1))), d(d(2, d(1, d(A, d(E, L1)))), d(A, d(E, M1)))), K1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), O))), d(H, d(2, d(1, A))))))), O)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(N, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), U)))), O)))))), d(N, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), U)))), O))))), N1=d(J1, d(1, d(d(B, E1), E1))), O1=d(J1, F1), D=d(J1, d(d(A, d(E, K1)), d(d(B, d(d(2, d(1, d(A, N1))), d(A, O1))), d(d(2, d(1, d(A, d(E, O1)))), d(A, d(E, N1))))))]).
mm_proof(anidm, d(A, d(d(B, d(d(C, d(d(2, d(1, d(B, D))), d(B, E))), d(d(2, d(1, d(B, d(A, E)))), d(B, d(A, D))))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, F))))), L=d(2, d(1, d(2, C))), M=d(2, d(1, F)), N=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, O))))), d(1, P)))), K=d(2, d(I, Q)), R=d(3, d(K, S)), T=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, Q))))), O))), F=d(d(2, 1), 1), U=d(G, 1), O=d(G, F), V=d(G, d(d(2, d(1, W)), S)), S=d(I, O), X=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), V)))), O)), C=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), P=d(d(2, d(1, d(2, F))), O), Q=d(d(2, d(1, d(2, d(d(2, d(1, M)), V)))), O), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, Z))))), X)))), O), B=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, T)), B1), C1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), O)))))), O))))), D1), E1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), O)))))), O))))), D1), W=d(d(2, d(I, d(d(2, d(1, d(2, S))), F))), F), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(1, C1)))))), O))), Y)))), O)), F), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), O))), A1)))), O)), F), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(B, G1), Z=d(B, I1), J1=d(B, K1), H1=d(W, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), O))), F))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, V)))), O)))))), O)))))), V)))), O))), F))))), L1=d(F1, C1), I1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(A, d(d(C, d(d(2, d(1, Z)), B1)), d(d(2, d(1, d(B, d(A, G1)))), d(B, d(A, I1))))), D=d(d(C, d(d(2, d(1, d(B, M1))), d(B, L1))), d(d(2, d(1, d(B, d(A, L1)))), d(B, d(A, M1)))), K1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), O))), d(H, d(2, d(1, B))))))), O)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(N, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), U)))), O)))))), d(N, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), U)))), O))))), N1=d(J1, d(1, d(d(C, E1), E1))), O1=d(J1, F1), E=d(J1, d(d(B, d(A, K1)), d(d(C, d(d(2, d(1, d(B, N1))), d(B, O1))), d(d(2, d(1, d(B, d(A, O1)))), d(B, d(A, N1))))))]).
mm_proof(anidmdbi, d(A, d(1, d(B, d(d(C, d(d(D, d(d(2, d(1, d(C, E))), d(C, F))), d(d(2, d(1, d(C, d(B, F)))), d(C, d(B, E))))), G))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, G))))), M=d(2, d(1, d(2, D))), N=d(2, d(1, G)), O=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, P))))), d(1, Q)))), L=d(2, d(J, R)), S=d(3, d(L, T)), U=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, R))))), P))), G=d(d(2, 1), 1), V=d(H, 1), P=d(H, G), W=d(H, d(d(2, d(1, X)), T)), T=d(J, P), Y=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), W)))), P)), D=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), Q=d(d(2, d(1, d(2, G))), P), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), W)))), P), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, A1))))), Y)))), P), C=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, U)), C1), D1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), P)))))), P))))), E1), F1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), P)))))), P))))), E1), X=d(d(2, d(J, d(d(2, d(1, d(2, T))), G))), G), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(1, D1)))))), P))), Z)))), P)), G), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, C))))), P))), B1)))), P)), G), H1=d(d(3, d(3, d(1, I1))), I1), E1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(C, H1), A1=d(C, J1), A=d(C, K1), I1=d(X, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), P))), G))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, W)))), P)))))), P)))))), W)))), P))), G))))), L1=d(G1, D1), J1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(B, d(d(D, d(d(2, d(1, A1)), C1)), d(d(2, d(1, d(C, d(B, H1)))), d(C, d(B, J1))))), E=d(d(D, d(d(2, d(1, d(C, M1))), d(C, L1))), d(d(2, d(1, d(C, d(B, L1)))), d(C, d(B, M1)))), K1=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, B1)))))))), P))), d(I, d(2, d(1, C))))))), P)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, D)))), d(O, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), V)))), P)))))), d(O, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), V)))), P))))), N1=d(A, d(1, d(d(D, F1), F1))), O1=d(A, G1), F=d(A, d(d(C, d(B, K1)), d(d(D, d(d(2, d(1, d(C, N1))), d(C, O1))), d(d(2, d(1, d(C, d(B, O1)))), d(C, d(B, N1))))))]).
mm_proof(anidms, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J))), I)-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(K, N)), O=d(3, d(M, P)), G=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), F=d(E, I), Q=d(E, d(d(2, d(1, R)), P)), P=d(K, F), J=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), Q)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), F), C=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), I))), I), H=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(D, Q)))), F)))))), F)))))), Q)))), F))), I)))))]).
mm_proof(imdistan, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, A))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), F))), L=d(2, d(J, R)), S=d(3, d(L, T)), U=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, R))))), Q))), M=d(d(2, 1), 1), V=d(H, 1), Q=d(H, M), W=d(H, d(d(2, d(1, X)), T)), T=d(J, Q), Y=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), W)))), Q)), A=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), G=d(d(2, d(1, d(2, M))), Q), R=d(d(2, d(1, d(2, d(d(2, d(1, O)), W)))), Q), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, A1))))), Y)))), Q), B=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, U)), d(B, d(d(3, d(3, d(1, C1))), C1))), D1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), Q)))))), Q))))), E1), X=d(d(2, d(J, d(d(2, d(1, d(2, T))), M))), M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, B))))), Q))), B1)))), Q)), M), E1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A1=d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(B, G1), C1=d(X, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, W)))), Q)))))), Q)))))), W)))), Q))), M))))), C=d(E, d(d(A, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(1, d(d(2, F), A1))))), Y)))))), Q)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(P, Q)))), Q)))))), Q)))), W)))), Q)))))), Q))))), E1)))), Q))), G1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, d(2, d(1, B))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), V)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), V)))), Q))))), H1=d(F1, d(1, d(d(A, D1), D1))), D=d(F1, d(d(2, d(1, F1)), d(H, d(d(B, d(E, G1)), d(d(A, d(d(2, d(1, d(B, H1))), d(B, I1))), d(d(2, d(1, d(B, d(E, I1)))), d(B, d(E, H1)))))))), I1=d(F1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), W)))), Q)))))), Q))))), E1))))))), Q))), Z)))), Q)), M))]).
mm_proof(imdistani, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(F, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(I, G))))), J))), d(d(2, d(1, K)), d(G, d(d(3, d(3, d(1, L))), L))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N))))), J))))))), O))))), J))))))), J)))))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), H=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), F=d(2, d(1, M)), C=d(2, d(D, P)), Q=d(3, d(C, R)), K=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), J=d(I, M), O=d(I, d(d(2, d(1, S)), R)), R=d(D, J), N=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), O)))), J)), P=d(d(2, d(1, d(2, d(d(2, d(1, F)), O)))), J), G=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(D, d(d(2, d(1, d(2, R))), M))), M), L=d(S, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), J))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(H, O)))), J)))))), J)))))), O)))), J))), M)))))]).
mm_proof(imdistanri, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(F, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(I, G))))), J))), d(d(2, d(1, K)), d(G, d(d(3, d(3, d(1, L))), L))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), J))))), O))))), P))))), J))))))), J)))))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[O=d(1, M), I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), H=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), F=d(2, O), C=d(2, d(D, Q)), R=d(3, d(C, S)), K=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, Q))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), J=d(I, M), P=d(I, d(d(2, d(1, T)), S)), S=d(D, J), N=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), P)))), J)), Q=d(d(2, d(1, d(2, d(d(2, d(1, F)), P)))), J), G=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(D, d(d(2, d(1, d(2, S))), M))), M), L=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), J))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(H, P)))), J)))))), J)))))), P)))), J))), M)))))]).
mm_proof(imdistand, d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C)))))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, B))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), F))), L=d(2, d(J, R)), S=d(3, d(L, T)), U=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, R))))), Q))), M=d(d(2, 1), 1), V=d(H, 1), Q=d(H, M), W=d(H, d(d(2, d(1, X)), T)), T=d(J, Q), Y=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), W)))), Q)), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), G=d(d(2, d(1, d(2, M))), Q), R=d(d(2, d(1, d(2, d(d(2, d(1, O)), W)))), Q), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, A1))))), Y)))), Q), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, C1))), C1))), D1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), Q)))))), Q))))), E1), X=d(d(2, d(J, d(d(2, d(1, d(2, T))), M))), M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, A))))), Q))), B1)))), Q)), M), E1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A1=d(A, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(A, G1), C1=d(X, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, W)))), Q)))))), Q)))))), W)))), Q))), M))))), C=d(E, d(d(B, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(1, d(d(2, F), A1))))), Y)))))), Q)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(P, Q)))), Q)))))), Q)))), W)))), Q)))))), Q))))), E1)))), Q))), G1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, d(2, d(1, A))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), V)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), V)))), Q))))), H1=d(F1, d(1, d(d(B, D1), D1))), D=d(F1, d(d(2, d(1, F1)), d(H, d(d(A, d(E, G1)), d(d(B, d(d(2, d(1, d(A, H1))), d(A, I1))), d(d(2, d(1, d(A, d(E, I1)))), d(A, d(E, H1)))))))), I1=d(F1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), W)))), Q)))))), Q))))), E1))))))), Q))), Z)))), Q)), M))]).
mm_proof(imdistanda, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C)))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, 1)), H)))))), I))-[J=d(1, K), L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, B))), S=d(2, d(1, Q)), T=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, U))))), J))), P=d(2, d(N, V)), W=d(3, d(P, X)), Y=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, V))))), U))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), Q=d(d(2, 1), 1), Z=d(L, 1), U=d(L, Q), A1=d(L, d(d(2, d(1, B1)), X)), X=d(N, U), I=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), A1)))), U)), B=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I), K=d(d(2, d(1, d(2, Q))), U), V=d(d(2, d(1, d(2, d(d(2, d(1, S)), A1)))), U), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, H))))), I)))), U), A=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, Y)), d(A, d(d(3, d(3, d(1, E1))), E1))), F1=d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), A1)))), U)))))), U))))), G1), B1=d(d(2, d(N, d(d(2, d(1, d(2, X))), Q))), Q), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, A))))), U))), D1)))), U)), Q), G1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(A, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(A, I1), E1=d(B1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), U))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, A1)))), U)))))), U)))))), A1)))), U))), Q))))), C=d(E, d(d(B, d(d(2, d(1, d(2, d(T, d(L, d(d(2, d(1, d(2, d(1, d(d(2, J), H))))), I)))))), U)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(L, d(d(2, d(1, d(2, d(T, U)))), U)))))), U)))), A1)))), U)))))), U))))), G1)))), U))), I1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(M, d(2, d(1, D1)))))))), U))), d(M, d(2, d(1, A))))))), U)), Q)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, B)))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Z)))), U)))))), d(T, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), Z)))), U))))), J1=d(H1, d(1, d(d(B, F1), F1))), D=d(H1, d(d(2, d(1, H1)), d(L, d(d(A, d(E, I1)), d(d(B, d(d(2, d(1, d(A, J1))), d(A, K1))), d(d(2, d(1, d(A, d(E, K1)))), d(A, d(E, J1)))))))), K1=d(H1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, d(1, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), A1)))), U)))))), U))))), G1))))))), U))), C1)))), U)), Q))]).
mm_proof('pm5.3', d(A, d(d(2, d(1, d(d(B, d(C, D)), d(d(E, d(d(2, d(1, d(B, F))), d(B, G))), d(d(2, d(1, d(B, d(C, G)))), d(B, d(C, F))))))), H))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, E))), P=d(2, d(1, N)), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), M=d(2, d(K, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, T))))), R))), N=d(d(2, 1), 1), X=d(I, 1), R=d(I, N), Y=d(I, d(d(2, d(1, Z)), V)), V=d(K, R), A1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Y)))), R)), E=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), S=d(d(2, d(1, d(2, N))), R), T=d(d(2, d(1, d(2, d(d(2, d(1, P)), Y)))), R), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), A1)))), R), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, D1))), D1))), H=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), R)))))), R))))), E1), F1=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), R)))))), R))))), E1), Z=d(d(2, d(K, d(d(2, d(1, d(2, V))), N))), N), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, B))))), R))), C1)))), R)), N), E1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A=d(B, D), D1=d(Z, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), R))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, Y)))), R)))))), R)))))), Y)))), R))), N))))), D=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(J, d(2, d(1, C1)))))))), R))), d(J, d(2, d(1, B))))))), R)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, E)))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), X)))), R))))), F=d(A, d(1, d(d(E, F1), F1))), G=d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(1, H)))))), R))), B1)))), R)), N))]).
mm_proof('pm5.32', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, B)), M=d(2, d(1, d(B, d(E, N)))), O=d(2, d(1, P)), Q=d(2, d(1, R)), S=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, T))))), d(1, U)))), V=d(2, d(H, W)), X=d(3, d(V, Y)), Z=d(3, d(V, d(d(2, d(1, d(2, d(H, d(I, W))))), T))), A1=d(d(2, 1), 1), B1=d(F, 1), T=d(F, A1), C1=d(F, D1), Y=d(H, T), A=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), T))), U=d(d(2, d(1, d(2, A1))), T), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, A1)))), C1)))), T), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, Z)), d(B, d(d(3, d(3, d(1, F1))), F1))), D1=d(d(2, d(1, G1)), Y), G1=d(d(2, d(H, d(d(2, d(1, d(2, Y))), A1))), A1), J=d(V, A1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), T))), E1)))), T)), A1), H1=d(B, d(E, I1)), J1=d(B, d(E, K1)), P=d(B, d(E, L1)), M1=d(B, I1), R=d(B, K1), N1=d(B, N), O1=d(B, L1), F1=d(G1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), T))), A1))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, C1)))), T)))))), T)))))), C1)))), T))), A1))))), C=d(E, d(d(A, d(d(2, d(1, d(B, P1))), N1)), d(M, d(B, d(E, P1))))), D=d(d(A, d(d(2, d(1, d(B, Q1))), d(B, R1))), d(d(2, d(1, d(B, d(E, R1)))), d(B, d(E, Q1)))), P1=d(d(A, d(d(2, d(1, d(B, S1))), R)), d(d(2, d(1, J1)), d(B, d(E, S1)))), Q1=d(d(A, d(d(2, d(1, d(B, T1))), M1)), d(d(2, d(1, H1)), d(B, d(E, T1)))), S1=d(d(A, d(Q, N1)), d(M, J1)), U1=d(d(A, J), D1), I1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, E1)))))))), T))), d(G, L))))), T)), A1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), B1)))), T)))))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), B1)))), T))))), T1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, V1))))))), T))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(Q, V1))))), T)))), T)))))), T)), A1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, A1))))))), T))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(Q, A1))))), T)))), T)))))), T)), A1)), K1=d(d(A, E), E), N=d(d(A, d(H1, d(d(A, d(d(2, d(1, d(B, W1))), O1)), d(O, d(B, d(E, W1)))))), d(H1, d(d(A, d(d(2, d(1, d(B, X1))), O1)), d(O, d(B, d(E, X1)))))), V1=d(H1, d(d(A, d(d(2, d(1, d(B, Y1))), d(B, Z1))), d(d(2, d(1, d(B, d(E, Z1)))), d(B, d(E, Y1))))), W1=d(M1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(M1, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), A2=d(M1, d(1, d(E, U1))), Y1=d(M1, d(1, U1)), R1=d(M1, d(1, T1)), L1=d(M1, A1), Z1=d(M1, d(H1, d(d(A, d(d(2, d(1, O1)), d(B, A2))), d(d(2, d(1, d(B, d(E, A2)))), P))))]).
mm_proof('pm5.32i', d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C)))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, B))), L=d(2, d(1, A)), M=d(2, d(1, d(A, d(E, N)))), O=d(2, d(1, P)), Q=d(2, d(1, R)), S=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, T))))), d(1, U)))), V=d(2, d(H, W)), X=d(3, d(V, Y)), Z=d(3, d(V, d(d(2, d(1, d(2, d(H, d(I, W))))), T))), A1=d(d(2, 1), 1), B1=d(F, 1), T=d(F, A1), C1=d(F, D1), Y=d(H, T), B=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), T))), U=d(d(2, d(1, d(2, A1))), T), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, A1)))), C1)))), T), A=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, Z)), d(A, d(d(3, d(3, d(1, F1))), F1))), D1=d(d(2, d(1, G1)), Y), G1=d(d(2, d(H, d(d(2, d(1, d(2, Y))), A1))), A1), J=d(V, A1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, A))))), T))), E1)))), T)), A1), H1=d(A, d(E, I1)), J1=d(A, d(E, K1)), P=d(A, d(E, L1)), M1=d(A, I1), R=d(A, K1), N1=d(A, N), O1=d(A, L1), F1=d(G1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), T))), A1))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, C1)))), T)))))), T)))))), C1)))), T))), A1))))), C=d(E, d(d(B, d(d(2, d(1, d(A, P1))), N1)), d(M, d(A, d(E, P1))))), D=d(d(B, d(d(2, d(1, d(A, Q1))), d(A, R1))), d(d(2, d(1, d(A, d(E, R1)))), d(A, d(E, Q1)))), P1=d(d(B, d(d(2, d(1, d(A, S1))), R)), d(d(2, d(1, J1)), d(A, d(E, S1)))), Q1=d(d(B, d(d(2, d(1, d(A, T1))), M1)), d(d(2, d(1, H1)), d(A, d(E, T1)))), S1=d(d(B, d(Q, N1)), d(M, J1)), U1=d(d(B, J), D1), I1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, E1)))))))), T))), d(G, L))))), T)), A1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B1)))), T)))))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), B1)))), T))))), T1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, V1))))))), T))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(Q, V1))))), T)))), T)))))), T)), A1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, A1))))))), T))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(Q, A1))))), T)))), T)))))), T)), A1)), K1=d(d(B, E), E), N=d(d(B, d(H1, d(d(B, d(d(2, d(1, d(A, W1))), O1)), d(O, d(A, d(E, W1)))))), d(H1, d(d(B, d(d(2, d(1, d(A, X1))), O1)), d(O, d(A, d(E, X1)))))), V1=d(H1, d(d(B, d(d(2, d(1, d(A, Y1))), d(A, Z1))), d(d(2, d(1, d(A, d(E, Z1)))), d(A, d(E, Y1))))), W1=d(M1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(M1, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), A2=d(M1, d(1, d(E, U1))), Y1=d(M1, d(1, U1)), R1=d(M1, d(1, T1)), L1=d(M1, A1), Z1=d(M1, d(H1, d(d(B, d(d(2, d(1, O1)), d(A, A2))), d(d(2, d(1, d(A, d(E, A2)))), P))))]).
mm_proof('pm5.32d', d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C)))))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, B))), L=d(2, d(1, A)), M=d(2, d(1, d(A, d(E, N)))), O=d(2, d(1, P)), Q=d(2, d(1, R)), S=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, T))))), d(1, U)))), V=d(2, d(H, W)), X=d(3, d(V, Y)), Z=d(3, d(V, d(d(2, d(1, d(2, d(H, d(I, W))))), T))), A1=d(d(2, 1), 1), B1=d(F, 1), T=d(F, A1), C1=d(F, D1), Y=d(H, T), B=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), T))), U=d(d(2, d(1, d(2, A1))), T), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, A1)))), C1)))), T), A=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, Z)), d(A, d(d(3, d(3, d(1, F1))), F1))), D1=d(d(2, d(1, G1)), Y), G1=d(d(2, d(H, d(d(2, d(1, d(2, Y))), A1))), A1), J=d(V, A1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, A))))), T))), E1)))), T)), A1), H1=d(A, d(E, I1)), J1=d(A, d(E, K1)), P=d(A, d(E, L1)), M1=d(A, I1), R=d(A, K1), N1=d(A, N), O1=d(A, L1), F1=d(G1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), T))), A1))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, C1)))), T)))))), T)))))), C1)))), T))), A1))))), C=d(E, d(d(B, d(d(2, d(1, d(A, P1))), N1)), d(M, d(A, d(E, P1))))), D=d(d(B, d(d(2, d(1, d(A, Q1))), d(A, R1))), d(d(2, d(1, d(A, d(E, R1)))), d(A, d(E, Q1)))), P1=d(d(B, d(d(2, d(1, d(A, S1))), R)), d(d(2, d(1, J1)), d(A, d(E, S1)))), Q1=d(d(B, d(d(2, d(1, d(A, T1))), M1)), d(d(2, d(1, H1)), d(A, d(E, T1)))), S1=d(d(B, d(Q, N1)), d(M, J1)), U1=d(d(B, J), D1), I1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, E1)))))))), T))), d(G, L))))), T)), A1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B1)))), T)))))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), B1)))), T))))), T1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, V1))))))), T))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(Q, V1))))), T)))), T)))))), T)), A1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, A1))))))), T))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(Q, A1))))), T)))), T)))))), T)), A1)), K1=d(d(B, E), E), N=d(d(B, d(H1, d(d(B, d(d(2, d(1, d(A, W1))), O1)), d(O, d(A, d(E, W1)))))), d(H1, d(d(B, d(d(2, d(1, d(A, X1))), O1)), d(O, d(A, d(E, X1)))))), V1=d(H1, d(d(B, d(d(2, d(1, d(A, Y1))), d(A, Z1))), d(d(2, d(1, d(A, d(E, Z1)))), d(A, d(E, Y1))))), W1=d(M1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(M1, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), A2=d(M1, d(1, d(E, U1))), Y1=d(M1, d(1, U1)), R1=d(M1, d(1, T1)), L1=d(M1, A1), Z1=d(M1, d(H1, d(d(B, d(d(2, d(1, O1)), d(A, A2))), d(d(2, d(1, d(A, d(E, A2)))), P))))]).
mm_proof('pm5.32da', d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C)))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, 1)), d(A, H))))))), I))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, B))), P=d(2, d(1, A)), Q=d(2, d(1, d(A, d(E, R)))), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, X))))), d(1, Y)))), Z=d(2, d(L, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(L, d(M, A1))))), X))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), E1=d(d(2, 1), 1), F1=d(J, 1), X=d(J, E1), G1=d(J, H1), C1=d(L, X), I=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), G1)))), X)), B=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I), Y=d(d(2, d(1, d(2, E1))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E1)))), G1)))), X), A=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, D1)), d(A, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(1, K1)), C1), K1=d(d(2, d(L, d(d(2, d(1, d(2, C1))), E1))), E1), N=d(Z, E1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, A))))), X))), I1)))), X)), E1), L1=d(A, d(E, M1)), N1=d(A, d(E, O1)), T=d(A, d(E, P1)), Q1=d(A, M1), V=d(A, O1), R1=d(A, R), S1=d(A, P1), J1=d(K1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), X))), E1))), d(3, d(Z, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(O, G1)))), X)))))), X)))))), G1)))), X))), E1))))), H=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, d(d(B, d(d(2, d(1, d(A, T1))), R1)), d(Q, d(A, d(E, T1))))), D=d(d(B, d(d(2, d(1, d(A, U1))), d(A, V1))), d(d(2, d(1, d(A, d(E, V1)))), d(A, d(E, U1)))), T1=d(d(B, d(d(2, d(1, d(A, W1))), V)), d(d(2, d(1, N1)), d(A, d(E, W1)))), U1=d(d(B, d(d(2, d(1, d(A, X1))), Q1)), d(d(2, d(1, L1)), d(A, d(E, X1)))), W1=d(d(B, d(U, R1)), d(Q, N1)), Y1=d(d(B, N), H1), M1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, d(K, d(2, d(1, I1)))))))), X))), d(K, P))))), X)), E1)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, B)))), d(W, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), F1)))), X)))))), d(W, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), X))))), X1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, d(L, d(P, Z1))))))), X))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(U, Z1))))), X)))), X)))))), X)), E1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, d(L, d(P, E1))))))), X))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(U, E1))))), X)))), X)))))), X)), E1)), O1=d(d(B, E), E), R=d(d(B, d(L1, d(d(B, d(d(2, d(1, d(A, A2))), S1)), d(S, d(A, d(E, A2)))))), d(L1, d(d(B, d(d(2, d(1, d(A, B2))), S1)), d(S, d(A, d(E, B2)))))), Z1=d(L1, d(d(B, d(d(2, d(1, d(A, C2))), d(A, D2))), d(d(2, d(1, d(A, d(E, D2)))), d(A, d(E, C2))))), A2=d(Q1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B2=d(Q1, d(1, H)), E2=d(Q1, d(1, d(E, Y1))), C2=d(Q1, d(1, Y1)), V1=d(Q1, d(1, X1)), P1=d(Q1, E1), D2=d(Q1, d(L1, d(d(B, d(d(2, d(1, S1)), d(A, E2))), d(d(2, d(1, d(A, d(E, E2)))), T))))]).
mm_proof(sylan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), L))), d(d(2, d(1, M)), d(I, d(d(3, d(3, d(1, N))), N))))))), L)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P))))), L)))))), K)))))), L)))))), L)))))), Q)))))), L)))))))), L))))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[K=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, O))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), D=d(2, d(E, R)), S=d(3, d(D, T)), M=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, R))))), L))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), L=d(K, O), Q=d(K, d(d(2, d(1, U)), T)), T=d(E, L), P=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), L)))), Q)))), L)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Q)))), L), I=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(E, d(d(2, d(1, d(2, T))), O))), O), N=d(U, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), L))), O))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(J, Q)))), L)))))), L)))))), Q)))), L))), O)))))]).
mm_proof(sylanb, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), L))), d(d(2, d(1, M)), d(I, d(d(3, d(3, d(1, N))), N))))))), L)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P))))), L)))))), d(d(d(d(2, d(1, 2)), 1), K), I))))))), L)))))), L)))))), Q)))))), L)))))))), L))))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[K=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, O))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), D=d(2, d(E, R)), S=d(3, d(D, T)), M=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, R))))), L))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), L=d(K, O), Q=d(K, d(d(2, d(1, U)), T)), T=d(E, L), P=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), L)))), Q)))), L)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Q)))), L), I=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(E, d(d(2, d(1, d(2, T))), O))), O), N=d(U, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), L))), O))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(J, Q)))), L)))))), L)))))), Q)))), L))), O)))))]).
mm_proof(sylanbr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K))))), L)))))), d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, 2)), 1), I), J)))))))), L)))))), L)))))), N)))))), L)))))))), L))))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[M=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D=d(2, d(E, R)), S=d(3, d(D, T)), Q=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, R))))), L))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), L=d(M, O), N=d(M, d(d(2, d(1, U)), T)), T=d(E, L), K=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), L)))), N)))), L)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), N)))), L), I=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(E, d(d(2, d(1, d(2, T))), O))), O), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, I))))), L))), d(d(2, d(1, Q)), d(I, d(d(3, d(3, d(1, V))), V))))))), L)), O), V=d(U, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), O))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(P, N)))), L)))))), L)))))), N)))), L))), O)))))]).
mm_proof(sylanbrc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), D)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(C, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F))))), G))))), H))))))), I))-[G=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, I))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), E=d(2, d(1, I)), L=d(2, d(J, O)), P=d(3, d(L, Q)), N=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, O))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), H=d(G, I), R=d(G, d(d(2, d(1, S)), Q)), Q=d(J, H), F=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), R)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, E)), R)))), H), C=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(J, d(d(2, d(1, d(2, Q))), I))), I), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, C))))), H))), d(d(2, d(1, N)), d(C, d(d(3, d(3, d(1, T))), T))))))), H)), I), T=d(S, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), H))), I))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, R)))), H)))))), H)))))), R)))), H))), I)))))]).
mm_proof(syl2anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), H)))))), I))))))))), L)-[H=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), P=d(2, d(N, Q)), R=d(3, d(P, S)), J=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), T=d(H, d(d(2, d(1, U)), S)), S=d(N, I), M=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), T)))), I)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), T)))), I), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), I))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(G, T)))), I)))))), I)))))), T)))), I))), L)))))]).
mm_proof(syl2anc2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(2, d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(G, d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(J, H))))), K))), d(d(2, d(1, L)), d(H, d(d(3, d(3, d(1, M))), M))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), G)))))))), K)))))), d(d(2, 1), 1)))))), N)-[J=d(2, d(1, 1)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, N))))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), R=d(2, d(P, S)), T=d(3, d(R, U)), L=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, S))))), K))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), G=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, 1)), N=d(d(2, 1), 1), K=d(J, N), V=d(J, d(d(2, d(1, W)), U)), U=d(P, K), O=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), V)))), K)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), V)))), K), H=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(P, d(d(2, d(1, d(2, U))), N))), N), M=d(W, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), K))), N))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(I, V)))), K)))))), K)))))), V)))), K))), N)))))]).
mm_proof(sylancl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), d(d(d(d(2, d(1, 2)), 1), H), 1))))))), I))))))))), L)-[H=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), P=d(2, d(N, Q)), R=d(3, d(P, S)), J=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), T=d(H, d(d(2, d(1, U)), S)), S=d(N, I), M=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), T)))), I)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), T)))), I), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), I))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(G, T)))), I)))))), I)))))), T)))), I))), L)))))]).
mm_proof(sylancr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), H)))))), I)))))), 1))))), L)-[H=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), P=d(2, d(N, Q)), R=d(3, d(P, S)), J=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), T=d(H, d(d(2, d(1, U)), S)), S=d(N, I), M=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), T)))), I)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), T)))), I), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), I))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(G, T)))), I)))))), I)))))), T)))), I))), L)))))]).
mm_proof(sylancom, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), J)))), I)))))), I))))), K))), C))))), D)))), I)))), J)))), I)))))), I))))), K))))))), I))))))), L)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), F=d(2, d(G, O)), P=d(3, d(F, Q)), N=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, O))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), I=d(E, L), J=d(E, d(d(2, d(1, R)), Q)), Q=d(G, I), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), J)))), I)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), J)))), I), S=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(G, d(d(2, d(1, d(2, Q))), L))), L), K=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(E, S))))), I))), d(d(2, d(1, N)), d(S, d(d(3, d(3, d(1, T))), T))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(R, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), L))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(M, J)))), I)))))), I)))))), J)))), I))), L)))))]).
mm_proof(sylanblc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, F))), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), d(d(d(d(2, d(1, 2)), 1), H), 1))))))), I))))))))), L)-[H=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), P=d(2, d(N, Q)), R=d(3, d(P, S)), J=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), T=d(H, d(d(2, d(1, U)), S)), S=d(N, I), M=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), T)))), I)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), T)))), I), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), I))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(G, T)))), I)))))), I)))))), T)))), I))), L)))))]).
mm_proof(sylanblrc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), D)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(C, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F))))), d(d(d(d(2, d(1, 2)), 1), G), 1)))))), H))))))), I))-[G=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, I))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), E=d(2, d(1, I)), L=d(2, d(J, O)), P=d(3, d(L, Q)), N=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, O))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), H=d(G, I), R=d(G, d(d(2, d(1, S)), Q)), Q=d(J, H), F=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), R)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, E)), R)))), H), C=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(J, d(d(2, d(1, d(2, Q))), I))), I), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, C))))), H))), d(d(2, d(1, N)), d(C, d(d(3, d(3, d(1, T))), T))))))), H)), I), T=d(S, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), H))), I))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, R)))), H)))))), H)))))), R)))), H))), I)))))]).
mm_proof(syldan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), H)))))), I))))), d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), Q)))), I)))))), I))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), L)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, R)), S=d(3, d(N, T)), J=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, R))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), Q=d(H, d(d(2, d(1, U)), T)), T=d(O, I), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), Q)))), I)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Q)))), I), F=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(O, d(d(2, d(1, d(2, T))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), I))), L))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(G, Q)))), I)))))), I)))))), Q)))), I))), L)))))]).
mm_proof(sylbida, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), O), d(d(d(d(2, d(1, 2)), 1), P), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(2, d(1, F)))))), Q))))), I))))))), I)))))), R)))))))), I))))), d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), Q)))), I)))))), I))))), R))))), L)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, S)), T=d(3, d(N, U)), J=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, S))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), Q=d(H, d(d(2, d(1, V)), U)), U=d(O, I), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), Q)))), I)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Q)))), I), F=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(O, d(d(2, d(1, d(2, U))), L))), L), R=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(V, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), I))), L))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(G, Q)))), I)))))), I)))))), Q)))), I))), L)))))]).
mm_proof(sylan2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, H)))), M))))), N))))))), N)))))), O)))), F)))))), G))))), N))))), M))))), N))))))), N)))))), O)))))))), N))))), d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), M)))), N)))))), N))))), O))))), S)-[H=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(P, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), P=d(2, d(Q, V)), W=d(3, d(P, X)), U=d(3, d(P, d(d(2, d(1, d(2, d(Q, d(R, V))))), N))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), Q), L=d(d(d(2, d(1, 2)), 1), R), J=d(d(d(2, d(1, 2)), 1), P), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), S=d(d(2, 1), 1), N=d(H, S), M=d(H, d(d(2, d(1, Y)), X)), X=d(Q, N), G=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), N)))), M)))), N)), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), M)))), N), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(Q, d(d(2, d(1, d(2, X))), S))), S), O=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(H, Z))))), N))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), N)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N))), S))), d(3, d(P, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(T, M)))), N)))))), N)))))), M)))), N))), S)))))]).
mm_proof(sylan2b, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, M))))), N))))), O))))))), O)))))), P)))), F)))))), G))))), O))))), N))))), O))))))), O)))))), P)))))))), O))))), d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), N)))), O)))))), O))))), P))))), T)-[U=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, T))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), Q=d(2, d(R, X)), Y=d(3, d(Q, Z)), W=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, X))))), O))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), U), K=d(d(d(2, d(1, 2)), 1), R), L=d(d(d(2, d(1, 2)), 1), S), J=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), T=d(d(2, 1), 1), O=d(U, T), N=d(U, d(d(2, d(1, A1)), Z)), Z=d(R, O), G=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), O)))), N)))), O)), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, T)))), N)))), O), M=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), T))), T), P=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(U, M))))), O))), d(d(2, d(1, W)), d(M, d(d(3, d(3, d(1, B1))), B1))))))), O)), T), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(A1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), O))), T))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, N)))), O)))))), O)))))), N)))), O))), T)))))]).
mm_proof(sylan2br, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, 2)), 1), M), N)))))), O))))), P))))))), P)))))), Q)))), F)))))), G))))), P))))), O))))), P))))))), P)))))), Q)))))))), P))))), d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), O)))), P)))))), P))))), Q))))), U)-[V=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, U))))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), R=d(2, d(S, Y)), Z=d(3, d(R, A1)), X=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, Y))))), P))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), V), K=d(d(d(2, d(1, 2)), 1), S), L=d(d(d(2, d(1, 2)), 1), T), J=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), U=d(d(2, 1), 1), P=d(V, U), O=d(V, d(d(2, d(1, B1)), A1)), A1=d(S, P), G=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), P)))), O)))), P)), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, U)))), O)))), P), M=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(S, d(d(2, d(1, d(2, A1))), U))), U), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(V, M))))), P))), d(d(2, d(1, X)), d(M, d(d(3, d(3, d(1, C1))), C1))))))), P)), U), Q=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(B1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), P))), U))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(W, O)))), P)))))), P)))))), O)))), P))), U)))))]).
mm_proof(syl2an, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), M)))))), N))))), O)))))), P)))))), O)))))), O)))))), Q)))))), O)))))))), O))))))), R))))), M))))))), N))))))), d(d(d(d(2, d(1, 2)), 1), P), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, P)))), Q))))), O))))))), O)))))), R)))), M)))))), N))))), O))))), Q))))), O))))))), O)))))), R))))))))), O)))))), d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), Q)))), O)))))), O))))), R)))))), V)-[P=d(2, d(1, 1)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(S, V))))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), S=d(2, d(T, Y)), Z=d(3, d(S, A1)), X=d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, Y))))), O))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), I=d(d(d(2, d(1, 2)), 1), T), J=d(d(d(2, d(1, 2)), 1), U), H=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), K), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), V=d(d(2, 1), 1), O=d(P, V), Q=d(P, d(d(2, d(1, B1)), A1)), A1=d(T, O), N=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), O)))), Q)))), O)), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, V)))), Q)))), O), C1=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(T, d(d(2, d(1, d(2, A1))), V))), V), R=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(C1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(P, C1))))), O))), d(d(2, d(1, X)), d(C1, d(d(3, d(3, d(1, D1))), D1))))))), O)), V), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(B1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), O))), V))), d(3, d(S, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(W, Q)))), O)))))), O)))))), Q)))), O))), V)))))]).
mm_proof(syl2anr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(I, d(J, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(I, d(J, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(I, d(J, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(I, d(J, d(I, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(I, d(J, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(I, d(J, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(I, d(J, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(I, d(J, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), M)))))), N))))), O)))))), P)))))), O)))))), O)))))), Q)))))), O)))))))), O))))))), R))))), M))))))), N))))))), d(d(d(d(2, d(1, 2)), 1), P), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, P)))), Q))))), O))))))), O)))))), R)))), M)))))), N))))), O))))), Q))))), O))))))), O)))))), R))))))))), O)))))), d(d(2, d(1, d(3, d(W, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), Q)))), O)))))), O))))), R)))))), Z)))))), M)))))))), N))))))), O))))))), Q))))))), O))))))))), O)))))))), R)-[P=d(2, d(1, 1)), X=d(2, d(1, 3)), Y=d(2, d(1, d(2, d(1, d(W, Z))))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), W=d(2, d(X, C1)), D1=d(3, d(W, E1)), B1=d(3, d(W, d(d(2, d(1, d(2, d(X, d(Y, C1))))), O))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), S=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), U=d(d(d(2, d(1, 2)), 1), X), V=d(d(d(2, d(1, 2)), 1), Y), T=d(d(d(2, d(1, 2)), 1), W), J=d(d(d(2, d(1, 2)), 1), L), I=d(d(d(2, d(1, 2)), 1), K), E=d(d(d(2, d(1, 2)), 1), S), B=d(d(d(2, d(1, 2)), 1), A), G=d(d(d(2, d(1, 2)), 1), U), H=d(d(d(2, d(1, 2)), 1), V), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), J), C=d(d(d(2, d(1, 2)), 1), I), Z=d(d(2, 1), 1), O=d(P, Z), Q=d(P, d(d(2, d(1, F1)), E1)), E1=d(X, O), N=d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), O)))), Q)))), O)), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Z)))), Q)))), O), G1=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(X, d(d(2, d(1, d(2, E1))), Z))), Z), R=d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(G1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(P, G1))))), O))), d(d(2, d(1, B1)), d(G1, d(d(3, d(3, d(1, H1))), H1))))))), O)), Z), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(F1, d(d(2, d(1, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), O))), Z))), d(3, d(W, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(A1, Q)))), O)))))), O)))))), Q)))), O))), Z)))))]).
mm_proof(syl2anb, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), M)))))), N))))), O)))))), P)))))), O)))))), O)))))), Q)))))), O)))))))), O))))))), R))))), M))))))), N))))))), d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, P)))), Q))))), O))))))), O)))))), R)))), M)))))), N))))), O))))), Q))))), O))))))), O)))))), R))))))))), O)))))), d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), Q)))), O)))))), O))))), R)))))), W)-[X=d(2, d(1, 1)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(T, W))))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), T=d(2, d(U, A1)), B1=d(3, d(T, C1)), Z=d(3, d(T, d(d(2, d(1, d(2, d(U, d(V, A1))))), O))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), S=d(d(d(2, d(1, 2)), 1), X), I=d(d(d(2, d(1, 2)), 1), U), J=d(d(d(2, d(1, 2)), 1), V), H=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), K), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), W=d(d(2, 1), 1), O=d(X, W), Q=d(X, d(d(2, d(1, D1)), C1)), C1=d(U, O), N=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), O)))), Q)))), O)), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Q)))), O), E1=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(U, d(d(2, d(1, d(2, C1))), W))), W), P=d(S, E1), R=d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(E1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(X, E1))))), O))), d(d(2, d(1, Z)), d(E1, d(d(3, d(3, d(1, F1))), F1))))))), O)), W), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(D1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), O))), W))), d(3, d(T, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(Y, Q)))), O)))))), O)))))), Q)))), O))), W)))))]).
mm_proof(syl2anbr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), M)))))), N))))), O)))))), P)))))), O)))))), O)))))), Q)))))), O)))))))), O))))))), R))))), M))))))), N))))))), d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, P)))), Q))))), O))))))), O)))))), R)))), M)))))), N))))), O))))), Q))))), O))))))), O)))))), R))))))))), O)))))), d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), Q)))), O)))))), O))))), R)))))), W)-[X=d(2, d(1, 1)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(T, W))))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), T=d(2, d(U, A1)), B1=d(3, d(T, C1)), Z=d(3, d(T, d(d(2, d(1, d(2, d(U, d(V, A1))))), O))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), S=d(d(d(2, d(1, 2)), 1), X), I=d(d(d(2, d(1, 2)), 1), U), J=d(d(d(2, d(1, 2)), 1), V), H=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), K), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), W=d(d(2, 1), 1), O=d(X, W), Q=d(X, d(d(2, d(1, D1)), C1)), C1=d(U, O), N=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), O)))), Q)))), O)), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Q)))), O), E1=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(U, d(d(2, d(1, d(2, C1))), W))), W), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(X, E1))))), O))), d(d(2, d(1, Z)), d(E1, d(d(3, d(3, d(1, G1))), G1))))))), O)), W), P=d(S, d(d(d(d(2, d(1, 2)), 1), E1), F1)), R=d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(E1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(D1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), O))), W))), d(3, d(T, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(Y, Q)))), O)))))), O)))))), Q)))), O))), W)))))]).
mm_proof(sylancb, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), M)))))), N))))), O)))))), P)))))), O)))))), O)))))), Q)))))), O)))))))), O))))))), R))))), M))))))), N))))))), d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, P)))), Q))))), O))))))), O)))))), R)))), M)))))), N))))), O))))), Q))))), O))))))), O)))))), R))))))))), O)))))), d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), Q)))), O)))))), O))))), R)))))), W)))))), M)))))))), N))))), W)-[X=d(2, d(1, 1)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(T, W))))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), T=d(2, d(U, A1)), B1=d(3, d(T, C1)), Z=d(3, d(T, d(d(2, d(1, d(2, d(U, d(V, A1))))), O))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), S=d(d(d(2, d(1, 2)), 1), X), I=d(d(d(2, d(1, 2)), 1), U), J=d(d(d(2, d(1, 2)), 1), V), H=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), K), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), W=d(d(2, 1), 1), O=d(X, W), Q=d(X, d(d(2, d(1, D1)), C1)), C1=d(U, O), N=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), O)))), Q)))), O)), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Q)))), O), E1=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(U, d(d(2, d(1, d(2, C1))), W))), W), P=d(S, E1), R=d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(E1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(X, E1))))), O))), d(d(2, d(1, Z)), d(E1, d(d(3, d(3, d(1, F1))), F1))))))), O)), W), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(D1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), O))), W))), d(3, d(T, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(Y, Q)))), O)))))), O)))))), Q)))), O))), W)))))]).
mm_proof(sylancbr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), M)))))), N))))), O)))))), P)))))), O)))))), O)))))), Q)))))), O)))))))), O))))))), R))))), M))))))), N))))))), d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, P)))), Q))))), O))))))), O)))))), R)))), M)))))), N))))), O))))), Q))))), O))))))), O)))))), R))))))))), O)))))), d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), Q)))), O)))))), O))))), R)))))), W)))))), M)))))))), N))))), W)-[X=d(2, d(1, 1)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(T, W))))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), T=d(2, d(U, A1)), B1=d(3, d(T, C1)), Z=d(3, d(T, d(d(2, d(1, d(2, d(U, d(V, A1))))), O))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), S=d(d(d(2, d(1, 2)), 1), X), I=d(d(d(2, d(1, 2)), 1), U), J=d(d(d(2, d(1, 2)), 1), V), H=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), K), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), W=d(d(2, 1), 1), O=d(X, W), Q=d(X, d(d(2, d(1, D1)), C1)), C1=d(U, O), N=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), O)))), Q)))), O)), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Q)))), O), E1=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(U, d(d(2, d(1, d(2, C1))), W))), W), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(X, E1))))), O))), d(d(2, d(1, Z)), d(E1, d(d(3, d(3, d(1, G1))), G1))))))), O)), W), P=d(S, d(d(d(d(2, d(1, 2)), 1), E1), F1)), R=d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(E1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(D1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), O))), W))), d(3, d(T, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(Y, Q)))), O)))))), O)))))), Q)))), O))), W)))))]).
mm_proof(syldanl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, J)))), K)))))), d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(M, N))))), O))))), K)))), J))))), P))))), K))))))), K)))))), Q)))))))), K)))))), K)))))), P)))))), K)))))))), K))))))), Q)-[L=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), M=d(2, d(1, U)), T=d(2, d(R, X)), Y=d(3, d(T, Z)), W=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, X))))), K))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), S), E=d(d(d(2, d(1, 2)), 1), T), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), U=d(d(2, 1), 1), K=d(L, U), P=d(L, d(d(2, d(1, A1)), Z)), Z=d(R, K), O=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), K)))), P)))), K)), X=d(d(2, d(1, d(2, d(d(2, d(1, M)), P)))), K), B1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), U))), U), J=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), N)))))), O), Q=d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(B1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(L, B1))))), K))), d(d(2, d(1, W)), d(B1, d(d(3, d(3, d(1, C1))), C1))))))), K)), U), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(A1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), K))), U))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, P)))), K)))))), K)))))), P)))), K))), U)))))]).
mm_proof(syland, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(G, d(H, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(d(d(d(2, d(1, 2)), 1), J), d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(L, d(I, d(M, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(L, d(I, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(L, 2))), N)))), d(O, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(Q, O))))), N))), d(d(2, d(1, R)), d(O, d(d(3, d(3, d(1, S))), S))))))), N)), T), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), U))))))), N)))))))))))), N)))))))), N)))))), V)))))), N)))))))), N))))))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)-[Q=d(2, d(1, 1)), J=d(2, d(1, 2)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, T))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), D=d(2, d(E, W)), X=d(3, d(D, Y)), R=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, W))))), N))), L=d(d(d(2, d(1, 2)), 1), 1), I=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), Q), M=d(d(d(2, d(1, 2)), 1), d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, N))))), d(1, Z))))), C=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), I), H=d(d(d(2, d(1, 2)), 1), K), G=d(d(d(2, d(1, 2)), 1), M), T=d(d(2, 1), 1), N=d(Q, T), V=d(Q, d(d(2, d(1, A1)), Y)), Y=d(E, N), U=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), V)))), N)), Z=d(d(2, d(1, d(2, T))), N), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, T)))), V)))), N), O=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(E, d(d(2, d(1, d(2, Y))), T))), T), S=d(A1, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), N))), T))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(P, V)))), N)))))), N)))))), V)))), N))), T)))))]).
mm_proof(sylani, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(G, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(d(d(d(2, d(1, 2)), 1), J), d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(L, d(I, d(M, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(L, d(I, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(L, 2))), N)))), d(O, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(Q, O))))), N))), d(d(2, d(1, R)), d(O, d(d(3, d(3, d(1, S))), S))))))), N)), T), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), U))))))), N)))))), 1)))))))), N)))))))), N)))))), V)))))), N)))))))), N))))))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)-[Q=d(2, d(1, 1)), J=d(2, d(1, 2)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, T))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), D=d(2, d(E, W)), X=d(3, d(D, Y)), R=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, W))))), N))), L=d(d(d(2, d(1, 2)), 1), 1), I=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), Q), M=d(d(d(2, d(1, 2)), 1), d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, N))))), d(1, Z))))), C=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), I), H=d(d(d(2, d(1, 2)), 1), K), G=d(d(d(2, d(1, 2)), 1), M), T=d(d(2, 1), 1), N=d(Q, T), V=d(Q, d(d(2, d(1, A1)), Y)), Y=d(E, N), U=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), V)))), N)), Z=d(d(2, d(1, d(2, T))), N), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, T)))), V)))), N), O=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(E, d(d(2, d(1, d(2, Y))), T))), T), S=d(A1, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), N))), T))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(P, V)))), N)))))), N)))))), V)))), N))), T)))))]).
mm_proof(sylan2d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(d(d(d(2, d(1, 2)), 1), K), d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, 2))), S)))), T)))))), U))))))), S))))))))), S))))))), S))))), V))))), S))))))), S)))))), W))))), S))))), S)))), T)))))), U))))))), S)))))))))))), S)))))))), S)))))), V)))))), S)))))))), S))))))), W)))))), S)))))), S))))), T))))))), U)))))))), S)))))))))), S)))))))), S)))))), V)))))), S)))))))), S))))))), W)))))), S)-[X=d(2, d(1, 1)), K=d(2, d(1, 2)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(A1, B1))))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), A1=d(2, d(Y, E1)), F1=d(3, d(A1, G1)), D1=d(3, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, E1))))), S))), M=d(d(d(2, d(1, 2)), 1), 1), J=d(d(d(2, d(1, 2)), 1), 2), O=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), X), Q=d(d(d(2, d(1, 2)), 1), Y), R=d(d(d(2, d(1, 2)), 1), Z), N=d(d(d(2, d(1, 2)), 1), d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, S))))), d(1, H1))))), P=d(d(d(2, d(1, 2)), 1), A1), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), J), D=d(d(d(2, d(1, 2)), 1), O), I=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), R), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), P), B1=d(d(2, 1), 1), S=d(X, B1), V=d(X, d(d(2, d(1, I1)), G1)), G1=d(Y, S), U=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), V)))), S)), H1=d(d(2, d(1, d(2, B1))), S), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B1)))), V)))), S), J1=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(Y, d(d(2, d(1, d(2, G1))), B1))), B1), W=d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(J1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(X, J1))))), S))), d(d(2, d(1, D1)), d(J1, d(d(3, d(3, d(1, K1))), K1))))))), S)), B1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(I1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), S))), B1))), d(3, d(A1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, d(d(2, d(1, d(2, d(C1, V)))), S)))))), S)))))), V)))), S))), B1)))))]).
mm_proof(sylan2i, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(d(d(d(2, d(1, 2)), 1), K), d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, 2))), S)))), T)))))), U))))))), S))))))))), S))))))), S))))), V))))), S))))))), S)))))), W))))), S))))), S)))), T)))))), U))))))), S)))))), 1)))))))), S)))))))), S)))))), V)))))), S)))))))), S))))))), W)))))), S)))))), S))))), T))))))), U)))))))), S)))))))))), S)))))))), S)))))), V)))))), S)))))))), S))))))), W)))))), S)-[X=d(2, d(1, 1)), K=d(2, d(1, 2)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(A1, B1))))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), A1=d(2, d(Y, E1)), F1=d(3, d(A1, G1)), D1=d(3, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, E1))))), S))), M=d(d(d(2, d(1, 2)), 1), 1), J=d(d(d(2, d(1, 2)), 1), 2), O=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), X), Q=d(d(d(2, d(1, 2)), 1), Y), R=d(d(d(2, d(1, 2)), 1), Z), N=d(d(d(2, d(1, 2)), 1), d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, S))))), d(1, H1))))), P=d(d(d(2, d(1, 2)), 1), A1), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), J), D=d(d(d(2, d(1, 2)), 1), O), I=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), R), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), P), B1=d(d(2, 1), 1), S=d(X, B1), V=d(X, d(d(2, d(1, I1)), G1)), G1=d(Y, S), U=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), V)))), S)), H1=d(d(2, d(1, d(2, B1))), S), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B1)))), V)))), S), J1=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(Y, d(d(2, d(1, d(2, G1))), B1))), B1), W=d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(J1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(X, J1))))), S))), d(d(2, d(1, D1)), d(J1, d(d(3, d(3, d(1, K1))), K1))))))), S)), B1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(I1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), S))), B1))), d(3, d(A1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, d(d(2, d(1, d(2, d(C1, V)))), S)))))), S)))))), V)))), S))), B1)))))]).
mm_proof(syl2ani, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(I, d(J, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(d(d(d(2, d(1, 2)), 1), L), d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(L, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(S, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(V, d(W, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(S, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(S, d(Q, d(S, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(S, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, 2))), X)))), Y)))))), Z))))))), X))))))))), X))))))), X))))), A1))))), X))))))), X)))))), B1))))), X))))), X)))), Y)))))), Z))))))), X)))))), 1)))))))), X)))))))), X)))))), A1)))))), X)))))))), X))))))), B1)))))), X)))))), X))))), Y))))))), Z)))))))), X)))))))))), X)))))))), X)))))), A1)))))), X)))))))), X))))))), B1)))))), X)))))), X))))), Y))))))), Z)))))))), X))))))), 1))))))))), X))))))))), X))))))), A1))))))), X))))))))), X)))))))), B1))))))), X)-[C1=d(2, d(1, 1)), D1=d(2, d(1, 2)), E1=d(2, d(1, 3)), F1=d(2, d(1, d(2, d(1, d(G1, H1))))), I1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), G1=d(2, d(E1, K1)), L1=d(3, d(G1, M1)), J1=d(3, d(G1, d(d(2, d(1, d(2, d(E1, d(F1, K1))))), X))), R=d(d(d(2, d(1, 2)), 1), 1), P=d(d(d(2, d(1, 2)), 1), 2), T=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), Q=d(d(d(2, d(1, 2)), 1), C1), L=d(d(d(2, d(1, 2)), 1), D1), V=d(d(d(2, d(1, 2)), 1), E1), W=d(d(d(2, d(1, 2)), 1), F1), S=d(d(d(2, d(1, 2)), 1), d(2, d(D1, d(d(2, d(1, d(2, d(1, d(D1, X))))), d(1, N1))))), U=d(d(d(2, d(1, 2)), 1), G1), N=d(d(d(2, d(1, 2)), 1), R), K=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), T), B=d(d(d(2, d(1, 2)), 1), A), M=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), V), H=d(d(d(2, d(1, 2)), 1), W), O=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), U), D=d(d(d(2, d(1, 2)), 1), N), C=d(d(d(2, d(1, 2)), 1), K), J=d(d(d(2, d(1, 2)), 1), M), I=d(d(d(2, d(1, 2)), 1), O), H1=d(d(2, 1), 1), X=d(C1, H1), A1=d(C1, d(d(2, d(1, O1)), M1)), M1=d(E1, X), Z=d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), A1)))), X)), N1=d(d(2, d(1, d(2, H1))), X), K1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H1)))), A1)))), X), P1=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(d(2, d(E1, d(d(2, d(1, d(2, M1))), H1))), H1), B1=d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y=d(P1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I1, d(C1, P1))))), X))), d(d(2, d(1, J1)), d(P1, d(d(3, d(3, d(1, Q1))), Q1))))))), X)), H1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q1=d(O1, d(d(2, d(1, d(d(2, d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), X))), H1))), d(3, d(G1, d(d(2, d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(2, d(1, d(2, d(E1, d(F1, d(d(2, d(1, d(2, d(I1, A1)))), X)))))), X)))))), A1)))), X))), H1)))))]).
mm_proof(syl2and, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(I, d(J, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(d(d(d(2, d(1, 2)), 1), L), d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(M, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(L, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(S, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(V, d(W, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(S, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(S, d(Q, d(S, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(S, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(P, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(R, 2))), X)))), Y)))))), Z))))))), X))))))))), X))))))), X))))), A1))))), X))))))), X)))))), B1))))), X))))), X)))), Y)))))), Z))))))), X)))))))))))), X)))))))), X)))))), A1)))))), X)))))))), X))))))), B1)))))), X)))))), X))))), Y))))))), Z)))))))), X)))))))))), X)))))))), X)))))), A1)))))), X)))))))), X))))))), B1)))))), X)))))), X))))), Y))))))), Z)))))))), X)))))))))))))), X))))))))), X))))))), A1))))))), X))))))))), X)))))))), B1))))))), X)-[C1=d(2, d(1, 1)), D1=d(2, d(1, 2)), E1=d(2, d(1, 3)), F1=d(2, d(1, d(2, d(1, d(G1, H1))))), I1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), G1=d(2, d(E1, K1)), L1=d(3, d(G1, M1)), J1=d(3, d(G1, d(d(2, d(1, d(2, d(E1, d(F1, K1))))), X))), R=d(d(d(2, d(1, 2)), 1), 1), P=d(d(d(2, d(1, 2)), 1), 2), T=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), Q=d(d(d(2, d(1, 2)), 1), C1), L=d(d(d(2, d(1, 2)), 1), D1), V=d(d(d(2, d(1, 2)), 1), E1), W=d(d(d(2, d(1, 2)), 1), F1), S=d(d(d(2, d(1, 2)), 1), d(2, d(D1, d(d(2, d(1, d(2, d(1, d(D1, X))))), d(1, N1))))), U=d(d(d(2, d(1, 2)), 1), G1), N=d(d(d(2, d(1, 2)), 1), R), K=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), T), B=d(d(d(2, d(1, 2)), 1), A), M=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), V), H=d(d(d(2, d(1, 2)), 1), W), O=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), U), D=d(d(d(2, d(1, 2)), 1), N), C=d(d(d(2, d(1, 2)), 1), K), J=d(d(d(2, d(1, 2)), 1), M), I=d(d(d(2, d(1, 2)), 1), O), H1=d(d(2, 1), 1), X=d(C1, H1), A1=d(C1, d(d(2, d(1, O1)), M1)), M1=d(E1, X), Z=d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), A1)))), X)), N1=d(d(2, d(1, d(2, H1))), X), K1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H1)))), A1)))), X), P1=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(d(2, d(E1, d(d(2, d(1, d(2, M1))), H1))), H1), B1=d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y=d(P1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I1, d(C1, P1))))), X))), d(d(2, d(1, J1)), d(P1, d(d(3, d(3, d(1, Q1))), Q1))))))), X)), H1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q1=d(O1, d(d(2, d(1, d(d(2, d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), X))), H1))), d(3, d(G1, d(d(2, d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(2, d(1, d(2, d(E1, d(F1, d(d(2, d(1, d(2, d(I1, A1)))), X)))))), X)))))), A1)))), X))), H1)))))]).
mm_proof(anim12d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(d(d(d(2, d(1, 2)), 1), K), d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(2, d(K, d(O, d(d(2, d(1, d(2, d(P, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(O, d(d(2, d(1, d(2, d(P, d(O, d(P, d(O, d(d(2, d(1, d(2, d(P, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(T, U))), V))))), W)))))), U)))))))), U)))))), U)))), X)))), U)))))), U))))), Y)))), U)))), U))), V))))), W)))))), U)))))))))), U))))))), U))))), X))))), U))))))), U)))))), Y))))), U))))), U)))), V)))))), W))))))), U))))))))), U))))))), U))))), X))))), U))))))), U)))))), Y))))), U))))), U)))), V)))))), W))))))), U)))))))))))), U)))))))), U)))))), X)))))), U)))))))), U))))))), Y)))))), U)-[O=d(2, d(1, 1)), K=d(2, d(1, 2)), R=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, Z)))), S=d(2, d(1, d(2, d(1, d(Q, Z))))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), P=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, U))))), d(1, C1)))), Q=d(2, d(R, D1)), E1=d(3, d(Q, F1)), B1=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, D1))))), U))), M=d(d(d(2, d(1, 2)), 1), 1), J=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), S), N=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), J), I=d(d(d(2, d(1, 2)), 1), L), H=d(d(d(2, d(1, 2)), 1), N), Z=d(d(2, 1), 1), U=d(O, Z), X=d(O, d(d(2, d(1, G1)), F1)), F1=d(R, U), W=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), X)))), U)), C1=d(d(2, d(1, d(2, Z))), U), D1=d(d(2, d(1, d(2, d(T, X)))), U), H1=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(R, d(d(2, d(1, d(2, F1))), Z))), Z), Y=d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(H1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(O, H1))))), U))), d(d(2, d(1, B1)), d(H1, d(d(3, d(3, d(1, I1))), I1))))))), U)), Z), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(G1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), U))), Z))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(A1, X)))), U)))))), U)))))), X)))), U))), Z)))))]).
mm_proof(anim12d1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(d(d(d(2, d(1, 2)), 1), K), d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, 2)), 1), d(2, d(K, d(O, d(d(2, d(1, d(2, d(P, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(O, d(d(2, d(1, d(2, d(P, d(O, d(P, d(O, d(d(2, d(1, d(2, d(P, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(T, U))), V))))), W)))))), U)))))))), U)))))), U)))), X)))), U)))))), U))))), Y)))), U)))), U))), V))))), W)))))), U))))), 1))))))), U))))))), U))))), X))))), U))))))), U)))))), Y))))), U))))), U)))), V)))))), W))))))), U))))))))), U))))))), U))))), X))))), U))))))), U)))))), Y))))), U))))), U)))), V)))))), W))))))), U)))))))))))), U)))))))), U)))))), X)))))), U)))))))), U))))))), Y)))))), U)-[O=d(2, d(1, 1)), K=d(2, d(1, 2)), R=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, Z)))), S=d(2, d(1, d(2, d(1, d(Q, Z))))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), P=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, U))))), d(1, C1)))), Q=d(2, d(R, D1)), E1=d(3, d(Q, F1)), B1=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, D1))))), U))), M=d(d(d(2, d(1, 2)), 1), 1), J=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), S), N=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), J), I=d(d(d(2, d(1, 2)), 1), L), H=d(d(d(2, d(1, 2)), 1), N), Z=d(d(2, 1), 1), U=d(O, Z), X=d(O, d(d(2, d(1, G1)), F1)), F1=d(R, U), W=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), X)))), U)), C1=d(d(2, d(1, d(2, Z))), U), D1=d(d(2, d(1, d(2, d(T, X)))), U), H1=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(R, d(d(2, d(1, d(2, F1))), Z))), Z), Y=d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(H1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(O, H1))))), U))), d(d(2, d(1, B1)), d(H1, d(d(3, d(3, d(1, I1))), I1))))))), U)), Z), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(G1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), U))), Z))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(A1, X)))), U)))))), U)))))), X)))), U))), Z)))))]).
mm_proof(anim1d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(2, d(H, d(I, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(2, d(J, d(I, d(J, d(I, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(H, d(I, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(2, d(J, d(I, d(J, d(I, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(K, L))), M))))), N)))))), L)))))))), L)))))), L)))), O)))), L)))))), L))))), P)))), L)))), L))), M))))), N)))))), L)))), Q)))))), L)))))), L)))), O)))), L)))))), L))))), P)))), L)))), L))), M))))), N)))))), L)))))))), L)))))), L)))), O)))), L)))))), L))))), P)))), L)))), L))), M))))), N)))))), L)))))))))), L))))))), L))))), O))))), L))))))), L)))))), P))))), L)-[Q=d(1, R), I=d(2, d(1, 1)), H=d(2, d(1, 2)), D=d(2, d(1, 3)), K=d(2, d(1, d(2, Q))), E=d(2, d(1, d(2, d(1, d(C, R))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), J=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, L))))), d(1, U)))), C=d(2, d(D, V)), W=d(3, d(C, X)), T=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, V))))), L))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), I), F=d(d(d(2, d(1, 2)), 1), J), R=d(d(2, 1), 1), L=d(I, R), O=d(I, d(d(2, d(1, Y)), X)), X=d(D, L), N=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), O)))), L)), U=d(d(2, d(1, d(2, R))), L), V=d(d(2, d(1, d(2, d(K, O)))), L), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(D, d(d(2, d(1, d(2, X))), R))), R), P=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, Z))))), L))), d(d(2, d(1, T)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), L)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), L))), R))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(S, O)))), L)))))), L)))))), O)))), L))), R)))))]).
mm_proof(anim2d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), I), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(2, d(I, d(J, d(d(2, d(1, d(2, d(K, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, d(J, d(d(2, d(1, d(2, d(K, d(J, d(K, d(J, d(d(2, d(1, d(2, d(K, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(O, P))), Q))))), R)))))), P)))))))), P)))))), P)))), S)))), P)))))), P))))), T)))), P)))), P))), Q))))), R)))))), P)))))))))), P))))))), P))))), S))))), P))))))), P)))))), T))))), P))))), P)))), Q)))))), R))))))), P))))))))), P))))))), P))))), S))))), P))))))), P)))))), T))))), P))))), P)))), Q)))))), R))))))), P))))), U))))))), P))))))), P))))), S))))), P))))))), P)))))), T))))), P)-[U=d(1, V), J=d(2, d(1, 1)), I=d(2, d(1, 2)), M=d(2, d(1, 3)), O=d(2, d(1, d(2, U))), N=d(2, d(1, d(2, d(1, d(L, V))))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), K=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, P))))), d(1, Y)))), L=d(2, d(M, Z)), A1=d(3, d(L, B1)), X=d(3, d(L, d(d(2, d(1, d(2, d(M, d(N, Z))))), P))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), J), E=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), N), G=d(d(d(2, d(1, 2)), 1), K), D=d(d(d(2, d(1, 2)), 1), L), V=d(d(2, 1), 1), P=d(J, V), S=d(J, d(d(2, d(1, C1)), B1)), B1=d(M, P), R=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), S)))), P)), Y=d(d(2, d(1, d(2, V))), P), Z=d(d(2, d(1, d(2, d(O, S)))), P), D1=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(M, d(d(2, d(1, d(2, B1))), V))), V), T=d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(D1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(J, D1))))), P))), d(d(2, d(1, X)), d(D1, d(d(3, d(3, d(1, E1))), E1))))))), P)), V), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(C1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), P))), V))), d(3, d(L, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(W, S)))), P)))))), P)))))), S)))), P))), V)))))]).
mm_proof(anim12i, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, K))))), L)))), M))))), N))))), M))))), M))))), O))))), M))))))), M)))))), P)))), K)))))), L)))))), d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, N)))), O))))), M))))))), M)))))), P)))), K)))))), L))))), M))))), O))))), M))))))), M)))))), P)))))))), M))))), d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), O)))), M)))))), M))))), P))))), T)-[N=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, T))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), J=d(2, d(1, T)), Q=d(2, d(R, W)), X=d(3, d(Q, Y)), V=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, W))))), M))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), R), I=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), T=d(d(2, 1), 1), M=d(N, T), O=d(N, d(d(2, d(1, Z)), Y)), Y=d(R, M), L=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), M)))), O)))), M)), W=d(d(2, d(1, d(2, d(d(2, d(1, J)), O)))), M), A1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(R, d(d(2, d(1, d(2, Y))), T))), T), P=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(N, A1))))), M))), d(d(2, d(1, V)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), M)), T), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), M))), T))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(U, O)))), M)))))), M)))))), O)))), M))), T)))))]).
mm_proof(anim12ci, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, K))))), L)))), M))))), N))))), M))))), M))))), O))))), M))))))), M)))))), P)))), K)))))), L)))))), d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, N)))), O))))), M))))))), M)))))), P)))), K)))))), L))))), M))))), O))))), M))))))), M)))))), P)))))))), M))))), d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), O)))), M)))))), M))))), P))))), T))))), K))))))), L)))))), M)))))), O)))))), M)))))))), M))))))), P)-[N=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, T))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), J=d(2, d(1, T)), Q=d(2, d(R, W)), X=d(3, d(Q, Y)), V=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, W))))), M))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), S), E=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), T=d(d(2, 1), 1), M=d(N, T), O=d(N, d(d(2, d(1, Z)), Y)), Y=d(R, M), L=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), M)))), O)))), M)), W=d(d(2, d(1, d(2, d(d(2, d(1, J)), O)))), M), A1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(R, d(d(2, d(1, d(2, Y))), T))), T), P=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(N, A1))))), M))), d(d(2, d(1, V)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), M)), T), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), M))), T))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(U, O)))), M)))))), M)))))), O)))), M))), T)))))]).
mm_proof(anim1ci, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, K))))), L)))), M)))), M)))), M)))), M)))), N)))), M)))))), M))))), O))), K))))), L))))), d(d(d(d(2, d(1, 2)), 1), P), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, P)))), N))))), M))))))), M)))))), O)))), K)))))), L))))), M))))), N))))), M))))))), M)))))), O))))))), M)))), d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N)))), M)))))), M))))), O)))), Q)))), K)))))), L))))), M))))), N))))), M))))))), M)))))), O)-[P=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), J=d(2, d(1, Q)), G=d(2, d(H, T)), U=d(3, d(G, V)), S=d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, T))))), M))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), H), F=d(d(d(2, d(1, 2)), 1), I), D=d(d(d(2, d(1, 2)), 1), G), Q=d(d(2, 1), 1), M=d(P, Q), N=d(P, d(d(2, d(1, W)), V)), V=d(H, M), L=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), M)))), N)))), M)), T=d(d(2, d(1, d(2, d(d(2, d(1, J)), N)))), M), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(H, d(d(2, d(1, d(2, V))), Q))), Q), O=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(P, X))))), M))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), M)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), Q))), d(3, d(G, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(R, N)))), M)))))), M)))))), N)))), M))), Q)))))]).
mm_proof(anim2i, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, G))))), H)))), I)))), I)))), I)))), I)))), J)))), I)))))), I))))), K))), G))))), H))))), d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, L)))), J))))), I))))))), I)))))), K)))), G)))))), H))))), I))))), J))))), I))))))), I)))))), K))))))), I)))), d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), J)))), I)))))), I))))), K)))), Q)-[L=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), F=d(2, d(1, Q)), C=d(2, d(D, T)), U=d(3, d(C, V)), S=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, T))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(d(2, d(1, 2)), 1), 3), O=d(d(d(2, d(1, 2)), 1), D), P=d(d(d(2, d(1, 2)), 1), E), N=d(d(d(2, d(1, 2)), 1), C), Q=d(d(2, 1), 1), I=d(L, Q), J=d(L, d(d(2, d(1, W)), V)), V=d(D, I), H=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), I)))), J)))), I)), T=d(d(2, d(1, d(2, d(d(2, d(1, F)), J)))), I), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(D, d(d(2, d(1, d(2, V))), Q))), Q), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(L, X))))), I))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), I)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), Q))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(R, J)))), I)))))), I)))))), J)))), I))), Q)))))]).
mm_proof(anim12ii, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(2, d(1, d(d(2, d(1, d(2, d(1, d(M, N))))), O))))))), P)))), Q)))))), Q))))), R))), N))))), O)))), Q))))), S))))), Q))))), Q))))), P))))), Q))))))), Q)))))), R)))), N)))))), O)))))), d(d(d(d(2, d(1, 2)), 1), S), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, S)))), P))))), Q))))))), Q)))))), R)))), N)))))), O))))), Q))))), P))))), Q))))))), Q)))))), R)))))))), Q))))), d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), P)))), Q)))))), Q))))), R))))), T)-[S=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, T))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), M=d(2, d(1, T)), J=d(2, d(K, W)), X=d(3, d(J, Y)), V=d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, W))))), Q))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), K), I=d(d(d(2, d(1, 2)), 1), L), G=d(d(d(2, d(1, 2)), 1), J), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), T=d(d(2, 1), 1), Q=d(S, T), P=d(S, d(d(2, d(1, Z)), Y)), Y=d(K, Q), O=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Q)))), P)))), Q)), W=d(d(2, d(1, d(2, d(d(2, d(1, M)), P)))), Q), A1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(K, d(d(2, d(1, d(2, Y))), T))), T), R=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(S, A1))))), Q))), d(d(2, d(1, V)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), Q)), T), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), Q))), T))), d(3, d(J, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(U, P)))), Q)))))), Q)))))), P)))), Q))), T)))))]).
mm_proof(anim12dan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(H, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(d(d(d(2, d(1, 2)), 1), K), d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(N, d(L, d(d(d(d(2, d(1, 2)), 1), d(2, d(K, d(S, d(d(2, d(1, d(2, d(T, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(U, d(d(2, d(1, d(2, d(V, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(S, d(d(2, d(1, d(2, d(T, d(S, d(T, d(S, d(d(2, d(1, d(2, d(T, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(X, Y))), Z))))), A1)))))), Y)))))))), Y)))))), Y)))), B1)))), Y)))))), Y))))), C1)))), Y)))), Y))), Z))))), A1)))))), Y))))), D1))))))), Y))))))), Y))))), B1))))), Y))))))), Y)))))), C1))))), Y))))), Y)))), Z)))))), A1))))))), Y))))))))), Y))))))), Y))))), B1))))), Y))))))), Y)))))), C1))))), Y))))), Y)))), Z)))))), A1))))))), Y)))))), D1)))))))), Y)))))))), Y)))))), B1)))))), Y)))))))), Y))))))), C1)))))), Y)))))), B1)))))), Y)))))))), Y))))))), C1)-[S=d(2, d(1, 1)), K=d(2, d(1, 2)), V=d(2, d(1, 3)), X=d(2, d(1, d(2, d(1, E1)))), W=d(2, d(1, d(2, d(1, d(U, E1))))), F1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), T=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, Y))))), d(1, H1)))), U=d(2, d(V, I1)), J1=d(3, d(U, K1)), G1=d(3, d(U, d(d(2, d(1, d(2, d(V, d(W, I1))))), Y))), M=d(d(d(2, d(1, 2)), 1), 1), J=d(d(d(2, d(1, 2)), 1), 2), O=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), S), Q=d(d(d(2, d(1, 2)), 1), V), R=d(d(d(2, d(1, 2)), 1), W), N=d(d(d(2, d(1, 2)), 1), T), P=d(d(d(2, d(1, 2)), 1), U), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), J), D=d(d(d(2, d(1, 2)), 1), O), I=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), R), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), P), E1=d(d(2, 1), 1), Y=d(S, E1), B1=d(S, d(d(2, d(1, L1)), K1)), K1=d(V, Y), A1=d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), B1)))), Y)), H1=d(d(2, d(1, d(2, E1))), Y), I1=d(d(2, d(1, d(2, d(X, B1)))), Y), M1=d(d(2, d(1, J1)), d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(V, d(d(2, d(1, d(2, K1))), E1))), E1), D1=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(M, d(J, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, 1)), Z)))))), A1), C1=d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(M1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(S, M1))))), Y))), d(d(2, d(1, G1)), d(M1, d(d(3, d(3, d(1, N1))), N1))))))), Y)), E1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(L1, d(d(2, d(1, d(d(2, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), Y))), E1))), d(3, d(U, d(d(2, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(V, d(W, d(d(2, d(1, d(2, d(F1, B1)))), Y)))))), Y)))))), B1)))), Y))), E1)))))]).
mm_proof(im2anan9, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(2, d(1, d(d(2, d(1, d(2, d(1, d(M, N))))), O))))))), P)))), Q)))))), Q))))), R))), N))))), O)))), Q))))), d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(T, d(U, V)))))), Q))))))), Q))))), Q))))), P))))), Q))))))), Q)))))), R)))), N)))))), O)))))), d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(T, d(U, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, V)), N))))), O)))), Q)))), P)))), Q)))))), Q))))), R))))))), Q)))))), P))))), Q))))))), Q)))))), R)))), N)))))), O))))), Q))))), P))))), Q))))))), Q)))))), R)))))))), Q))))), V)))), W)-[U=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, W))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), M=d(2, d(1, W)), J=d(2, d(K, Z)), A1=d(3, d(J, B1)), Y=d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, Z))))), Q))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), S=d(d(d(2, d(1, 2)), 1), U), H=d(d(d(2, d(1, 2)), 1), K), I=d(d(d(2, d(1, 2)), 1), L), G=d(d(d(2, d(1, 2)), 1), J), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), T=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, 2))), W=d(d(2, 1), 1), Q=d(U, W), P=d(U, d(d(2, d(1, C1)), B1)), B1=d(K, Q), O=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), Q)))), P)))), Q)), Z=d(d(2, d(1, d(2, d(d(2, d(1, M)), P)))), Q), D1=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), P)))), Q)))))), Q))))), R), C1=d(d(2, d(K, d(d(2, d(1, d(2, B1))), W))), W), R=d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(D1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(U, D1))))), Q))), d(d(2, d(1, Y)), d(D1, d(d(3, d(3, d(1, E1))), E1))))))), Q)), W), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(C1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), Q))), W))), d(3, d(J, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(X, P)))), Q)))))), Q)))))), P)))), Q))), W)))))]).
mm_proof(im2anan9r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(2, d(1, d(d(2, d(1, d(2, d(1, d(M, N))))), O))))))), P)))), Q)))))), Q))))), R))), N))))), O)))), Q))))), d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(T, d(U, V)))))), Q))))))), Q))))), Q))))), P))))), Q))))))), Q)))))), R)))), N)))))), O)))))), d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(T, d(U, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, V)), N))))), O)))), Q)))), P)))), Q)))))), Q))))), R))))))), Q)))))), P))))), Q))))))), Q)))))), R)))), N)))))), O))))), Q))))), P))))), Q))))))), Q)))))), R)))))))), Q))))), V)))), W))))), N))))))), O)))))), Q)))))), P)))))), Q)))))))), Q))))))), R)-[U=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, W))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), M=d(2, d(1, W)), J=d(2, d(K, Z)), A1=d(3, d(J, B1)), Y=d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, Z))))), Q))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), S=d(d(d(2, d(1, 2)), 1), U), F=d(d(d(2, d(1, 2)), 1), K), G=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), J), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), T=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, 2))), W=d(d(2, 1), 1), Q=d(U, W), P=d(U, d(d(2, d(1, C1)), B1)), B1=d(K, Q), O=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), Q)))), P)))), Q)), Z=d(d(2, d(1, d(2, d(d(2, d(1, M)), P)))), Q), D1=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), P)))), Q)))))), Q))))), R), C1=d(d(2, d(K, d(d(2, d(1, d(2, B1))), W))), W), R=d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(D1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(U, D1))))), Q))), d(d(2, d(1, Y)), d(D1, d(d(3, d(3, d(1, E1))), E1))))))), Q)), W), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(C1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), Q))), W))), d(3, d(J, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(X, P)))), Q)))))), Q)))))), P)))), Q))), W)))))]).
mm_proof('pm3.45', d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(F, d(E, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(D, d(E, d(D, d(E, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(F, d(E, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(D, d(E, d(D, d(E, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(G, H))), I))))), J)))))), H)))))))), H)))))), H)))), K)))), H)))))), H))))), L)))), H)))), H))), I))))), J)))))), H)))), M)))))), H)))))), H)))), K)))), H)))))), H))))), L)))), H)))), H))), I))))), J)))))), H)))))))), H)))))), H)))), K)))), H)))))), H))))), L)))), H)))), H))), I))))), J)))))), H)))), N)))))), H)))))), H)))), K)))), H)))))), H))))), L)))), H)-[M=d(1, N), E=d(2, d(1, 1)), F=d(2, d(1, 2)), B=d(2, d(1, 3)), G=d(2, d(1, d(2, M))), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D=d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, H))))), d(1, Q)))), A=d(2, d(B, R)), S=d(3, d(A, T)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), H))), N=d(d(2, 1), 1), H=d(E, N), K=d(E, d(d(2, d(1, U)), T)), T=d(B, H), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), K)))), H)), Q=d(d(2, d(1, d(2, N))), H), R=d(d(2, d(1, d(2, d(G, K)))), H), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), N))), N), L=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(E, V))))), H))), d(d(2, d(1, P)), d(V, d(d(3, d(3, d(1, W))), W))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), H))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, K)))), H)))))), H)))))), K)))), H))), N)))))]).
mm_proof(anbi2d, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C)))))))), F)-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, B))), L=d(2, d(1, A)), M=d(2, d(1, d(A, d(E, N)))), O=d(2, d(1, P)), Q=d(2, d(1, R)), S=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, T))))), d(1, U)))), V=d(2, d(H, W)), X=d(3, d(V, Y)), Z=d(3, d(V, d(d(2, d(1, d(2, d(H, d(I, W))))), T))), A1=d(d(2, 1), 1), B1=d(F, 1), T=d(F, A1), C1=d(F, D1), Y=d(H, T), B=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), T))), U=d(d(2, d(1, d(2, A1))), T), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, A1)))), C1)))), T), A=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, Z)), d(A, d(d(3, d(3, d(1, F1))), F1))), D1=d(d(2, d(1, G1)), Y), G1=d(d(2, d(H, d(d(2, d(1, d(2, Y))), A1))), A1), J=d(V, A1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, A))))), T))), E1)))), T)), A1), H1=d(A, d(E, I1)), J1=d(A, d(E, K1)), P=d(A, d(E, L1)), M1=d(A, I1), R=d(A, K1), N1=d(A, N), O1=d(A, L1), F1=d(G1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), T))), A1))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, C1)))), T)))))), T)))))), C1)))), T))), A1))))), C=d(E, d(d(B, d(d(2, d(1, d(A, P1))), N1)), d(M, d(A, d(E, P1))))), D=d(d(B, d(d(2, d(1, d(A, Q1))), d(A, R1))), d(d(2, d(1, d(A, d(E, R1)))), d(A, d(E, Q1)))), P1=d(d(B, d(d(2, d(1, d(A, S1))), R)), d(d(2, d(1, J1)), d(A, d(E, S1)))), Q1=d(d(B, d(d(2, d(1, d(A, T1))), M1)), d(d(2, d(1, H1)), d(A, d(E, T1)))), S1=d(d(B, d(Q, N1)), d(M, J1)), U1=d(d(B, J), D1), I1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, E1)))))))), T))), d(G, L))))), T)), A1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B1)))), T)))))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), B1)))), T))))), T1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, V1))))))), T))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(Q, V1))))), T)))), T)))))), T)), A1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, A1))))))), T))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(Q, A1))))), T)))), T)))))), T)), A1)), K1=d(d(B, E), E), N=d(d(B, d(H1, d(d(B, d(d(2, d(1, d(A, W1))), O1)), d(O, d(A, d(E, W1)))))), d(H1, d(d(B, d(d(2, d(1, d(A, X1))), O1)), d(O, d(A, d(E, X1)))))), V1=d(H1, d(d(B, d(d(2, d(1, d(A, Y1))), d(A, Z1))), d(d(2, d(1, d(A, d(E, Z1)))), d(A, d(E, Y1))))), W1=d(M1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(M1, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), A2=d(M1, d(1, d(E, U1))), Y1=d(M1, d(1, U1)), R1=d(M1, d(1, T1)), L1=d(M1, A1), Z1=d(M1, d(H1, d(d(B, d(d(2, d(1, O1)), d(A, A2))), d(d(2, d(1, d(A, d(E, A2)))), P))))]).
mm_proof(anbi1, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, N)), O=d(2, d(1, C)), P=d(2, d(1, d(C, d(F, Q)))), R=d(2, d(1, S)), T=d(2, d(1, U)), V=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, W))))), d(1, X)))), Y=d(2, d(I, Z)), A1=d(3, d(Y, B1)), C1=d(3, d(Y, d(d(2, d(1, d(2, d(I, d(J, Z))))), W))), N=d(d(2, 1), 1), D1=d(G, 1), W=d(G, N), E1=d(G, F1), B1=d(I, W), G1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), E1)))), W)), B=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1), X=d(d(2, d(1, d(2, N))), W), Z=d(d(2, d(1, d(2, d(d(2, d(1, M)), E1)))), W), C=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, C1)), d(C, d(d(3, d(3, d(1, I1))), I1))), J1=d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(C, K1)))))), G1)))), W)))), E1)))), W)))))), W))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, L1)), B1), L1=d(d(2, d(I, d(d(2, d(1, d(2, B1))), N))), N), K=d(Y, N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), W))), H1)))), W)), N), A=d(C, d(F, M1)), N1=d(C, d(F, O1)), S=d(C, d(F, P1)), Q1=d(C, M1), U=d(C, O1), R1=d(C, Q), S1=d(C, P1), I1=d(L1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), W))), N))), d(3, d(Y, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, E1)))), W)))))), W)))))), E1)))), W))), N))))), K1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T1=d(F, d(d(B, d(d(2, d(1, d(C, U1))), R1)), d(P, d(C, d(F, U1))))), V1=d(d(B, J1), J1), W1=d(d(B, d(d(2, d(1, d(C, X1))), d(C, Y1))), d(d(2, d(1, d(C, d(F, Y1)))), d(C, d(F, X1)))), U1=d(d(B, d(d(2, d(1, d(C, Z1))), U)), d(d(2, d(1, N1)), d(C, d(F, Z1)))), X1=d(d(B, d(d(2, d(1, d(C, A2))), Q1)), d(d(2, d(1, A)), d(C, d(F, A2)))), Z1=d(d(B, d(T, R1)), d(P, N1)), B2=d(d(B, K), F1), M1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, H1)))))))), W))), d(H, O))))), W)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(V, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), D1)))), W)))))), d(V, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), D1)))), W))))), A2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, C2))))))), W))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(T, C2))))), W)))), W)))))), W)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), W))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(T, N))))), W)))), W)))))), W)), N)), O1=d(d(B, F), F), Q=d(d(B, d(A, d(d(B, d(d(2, d(1, d(C, D2))), S1)), d(R, d(C, d(F, D2)))))), d(A, d(d(B, d(d(2, d(1, d(C, E2))), S1)), d(R, d(C, d(F, E2)))))), C2=d(A, d(d(B, d(d(2, d(1, d(C, F2))), d(C, G2))), d(d(2, d(1, d(C, d(F, G2)))), d(C, d(F, F2))))), D2=d(Q1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E2=d(Q1, d(1, K1)), D=d(Q1, d(1, d(F, V1))), H2=d(Q1, d(1, d(F, B2))), I2=d(Q1, d(1, V1)), F2=d(Q1, d(1, B2)), Y1=d(Q1, d(1, A2)), P1=d(Q1, N), J2=d(Q1, d(d(2, d(1, d(C, d(d(B, d(d(2, d(1, d(C, T1))), d(C, W1))), d(d(2, d(1, d(C, d(F, W1)))), d(C, d(F, T1))))))), W)), G2=d(Q1, d(A, d(d(B, d(d(2, d(1, S1)), d(C, H2))), d(d(2, d(1, d(C, d(F, H2)))), S)))), E=d(Q1, d(A, d(d(B, d(d(2, d(1, d(C, J2))), d(C, I2))), d(d(2, d(1, d(C, d(F, I2)))), d(C, d(F, J2))))))]).
mm_proof(anbi2, d(d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))))), F)-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, A)), N=d(2, d(1, d(A, d(E, O)))), P=d(2, d(1, Q)), R=d(2, d(1, S)), T=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, F))))), d(1, U)))), V=d(2, d(I, W)), X=d(3, d(V, Y)), Z=d(3, d(V, d(d(2, d(1, d(2, d(I, d(J, W))))), F))), A1=d(d(2, 1), 1), B1=d(G, 1), F=d(G, A1), C1=d(G, D1), Y=d(I, F), B=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), F))), U=d(d(2, d(1, d(2, A1))), F), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, A1)))), C1)))), F), A=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, Z)), d(A, d(d(3, d(3, d(1, F1))), F1))), D1=d(d(2, d(1, G1)), Y), G1=d(d(2, d(I, d(d(2, d(1, d(2, Y))), A1))), A1), K=d(V, A1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, A))))), F))), E1)))), F)), A1), H1=d(A, d(E, I1)), J1=d(A, d(E, K1)), Q=d(A, d(E, L1)), M1=d(A, I1), S=d(A, K1), N1=d(A, O), O1=d(A, L1), F1=d(G1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), F))), A1))), d(3, d(V, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, C1)))), F)))))), F)))))), C1)))), F))), A1))))), C=d(E, d(d(B, d(d(2, d(1, d(A, P1))), N1)), d(N, d(A, d(E, P1))))), D=d(d(B, d(d(2, d(1, d(A, Q1))), d(A, R1))), d(d(2, d(1, d(A, d(E, R1)))), d(A, d(E, Q1)))), P1=d(d(B, d(d(2, d(1, d(A, S1))), S)), d(d(2, d(1, J1)), d(A, d(E, S1)))), Q1=d(d(B, d(d(2, d(1, d(A, T1))), M1)), d(d(2, d(1, H1)), d(A, d(E, T1)))), S1=d(d(B, d(R, N1)), d(N, J1)), U1=d(d(B, K), D1), I1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, E1)))))))), F))), d(H, M))))), F)), A1)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(T, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B1)))), F)))))), d(T, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), B1)))), F))))), T1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, V1))))))), F))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(R, V1))))), F)))), F)))))), F)), A1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, A1))))))), F))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(R, A1))))), F)))), F)))))), F)), A1)), K1=d(d(B, E), E), O=d(d(B, d(H1, d(d(B, d(d(2, d(1, d(A, W1))), O1)), d(P, d(A, d(E, W1)))))), d(H1, d(d(B, d(d(2, d(1, d(A, X1))), O1)), d(P, d(A, d(E, X1)))))), V1=d(H1, d(d(B, d(d(2, d(1, d(A, Y1))), d(A, Z1))), d(d(2, d(1, d(A, d(E, Z1)))), d(A, d(E, Y1))))), W1=d(M1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(M1, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), A2=d(M1, d(1, d(E, U1))), Y1=d(M1, d(1, U1)), R1=d(M1, d(1, T1)), L1=d(M1, A1), Z1=d(M1, d(H1, d(d(B, d(d(2, d(1, O1)), d(A, A2))), d(d(2, d(1, d(A, d(E, A2)))), Q))))]).
mm_proof(an2anr, d(d(A, d(d(2, d(1, d(B, C))), D)), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, B)), P=d(2, d(1, d(B, Q))), R=d(2, d(1, d(B, d(F, S)))), E=d(2, d(1, d(B, d(F, T)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Z))))), d(1, A1)))), B1=d(2, d(I, C1)), D1=d(3, d(B1, E1)), F1=d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, C1))))), Z))), N=d(d(2, 1), 1), G1=d(G, 1), Z=d(G, N), H1=d(G, I1), E1=d(I, Z), J1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), H1)))), Z)), A=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), A1=d(d(2, d(1, d(2, N))), Z), C1=d(d(2, d(1, d(2, d(d(2, d(1, M)), H1)))), Z), B=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, F1)), d(B, d(d(3, d(3, d(1, L1))), L1))), M1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(B, N1)))))), J1)))), Z)))), H1)))), Z)))))), Z))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, O1)), E1), O1=d(d(2, d(I, d(d(2, d(1, d(2, E1))), N))), N), K=d(B1, N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), Z))), K1)))), Z)), N), P1=d(B, d(F, Q1)), R1=d(B, d(F, S1)), V=d(B, d(F, T1)), U1=d(B, Q1), X=d(B, S1), V1=d(B, S), D=d(B, T), W1=d(B, T1), L1=d(O1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Z))), N))), d(3, d(B1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, H1)))), Z)))))), Z)))))), H1)))), Z))), N))))), N1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(F, X1), Y1=d(F, d(d(A, d(d(2, d(1, d(B, Z1))), V1)), d(R, d(B, d(F, Z1))))), X1=d(d(A, M1), M1), A2=d(d(A, d(P, D)), d(E, d(B, d(F, Q)))), C=d(d(A, d(d(2, d(1, d(B, A2))), d(B, X1))), d(P, d(B, d(F, A2)))), B2=d(d(A, d(d(2, d(1, d(B, C2))), d(B, D2))), d(d(2, d(1, d(B, d(F, D2)))), d(B, d(F, C2)))), Z1=d(d(A, d(d(2, d(1, d(B, E2))), X)), d(d(2, d(1, R1)), d(B, d(F, E2)))), C2=d(d(A, d(d(2, d(1, d(B, F2))), U1)), d(d(2, d(1, P1)), d(B, d(F, F2)))), E2=d(d(A, d(W, V1)), d(R, R1)), G2=d(d(A, K), I1), Q1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, K1)))))))), Z))), d(H, O))))), Z)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(Y, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), G1)))), Z)))))), d(Y, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), G1)))), Z))))), F2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, H2))))))), Z))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, H2))))), Z)))), Z)))))), Z)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), Z))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, N))))), Z)))), Z)))))), Z)), N)), S1=d(d(A, F), F), S=d(d(A, d(P1, d(d(A, d(d(2, d(1, d(B, I2))), W1)), d(U, d(B, d(F, I2)))))), d(P1, d(d(A, d(d(2, d(1, d(B, J2))), W1)), d(U, d(B, d(F, J2)))))), H2=d(P1, d(d(A, d(d(2, d(1, d(B, K2))), d(B, L2))), d(d(2, d(1, d(B, d(F, L2)))), d(B, d(F, K2))))), T=d(d(B, d(d(A, d(d(2, d(1, d(B, Y1))), d(B, B2))), d(d(2, d(1, d(B, d(F, B2)))), d(B, d(F, Y1))))), d(1, X1)), I2=d(U1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J2=d(U1, d(1, N1)), M2=d(U1, d(1, d(F, G2))), K2=d(U1, d(1, G2)), D2=d(U1, d(1, F2)), T1=d(U1, N), L2=d(U1, d(P1, d(d(A, d(d(2, d(1, W1)), d(B, M2))), d(d(2, d(1, d(B, d(F, M2)))), V))))]).
mm_proof('pm4.38', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, N)), O=d(2, d(1, C)), P=d(2, d(1, d(C, d(F, Q)))), R=d(2, d(1, S)), T=d(2, d(1, d(C, d(d(B, d(d(2, d(1, d(C, U))), d(C, V))), d(d(2, d(1, d(C, d(F, V)))), d(C, d(F, U))))))), W=d(2, d(1, X)), Y=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Z))))), d(1, A1)))), B1=d(2, d(I, C1)), D1=d(3, d(B1, E1)), F1=d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, C1))))), Z))), N=d(d(2, 1), 1), G1=d(G, 1), Z=d(G, N), H1=d(G, I1), E1=d(I, Z), J1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), H1)))), Z)), B=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), A1=d(d(2, d(1, d(2, N))), Z), C1=d(d(2, d(1, d(2, d(d(2, d(1, M)), H1)))), Z), C=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, F1)), d(C, d(d(3, d(3, d(1, L1))), L1))), M1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), H1)))), Z)))))), Z))))), N1), O1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, P1))))), J1)))), Z)))), H1)))), Z)))))), Z))))), N1), I1=d(d(2, d(1, Q1)), E1), Q1=d(d(2, d(I, d(d(2, d(1, d(2, E1))), N))), N), K=d(B1, N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), Z))), K1)))), Z)), N), N1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P1=d(C, R1), A=d(C, d(F, S1)), T1=d(C, d(F, U1)), S=d(C, d(F, V1)), W1=d(C, S1), X=d(C, U1), X1=d(C, Q), Y1=d(C, V1), L1=d(Q1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Z))), N))), d(3, d(B1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, H1)))), Z)))))), Z)))))), H1)))), Z))), N))))), R1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(F, d(d(B, d(d(2, d(1, d(C, Z1))), X1)), d(P, d(C, d(F, Z1))))), A2=d(d(B, O1), O1), V=d(d(B, d(d(2, d(1, d(C, B2))), d(C, C2))), d(d(2, d(1, d(C, d(F, C2)))), d(C, d(F, B2)))), Z1=d(d(B, d(d(2, d(1, d(C, D2))), X)), d(d(2, d(1, T1)), d(C, d(F, D2)))), B2=d(d(B, d(d(2, d(1, d(C, E2))), W1)), d(d(2, d(1, A)), d(C, d(F, E2)))), D2=d(d(B, d(W, X1)), d(P, T1)), F2=d(d(B, K), I1), S1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, K1)))))))), Z))), d(H, O))))), Z)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(Y, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), G1)))), Z)))))), d(Y, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), G1)))), Z))))), E2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, G2))))))), Z))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, G2))))), Z)))), Z)))))), Z)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), Z))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, N))))), Z)))), Z)))))), Z)), N)), U1=d(d(B, F), F), Q=d(d(B, d(A, d(d(B, d(d(2, d(1, d(C, H2))), Y1)), d(R, d(C, d(F, H2)))))), d(A, d(d(B, d(d(2, d(1, d(C, I2))), Y1)), d(R, d(C, d(F, I2)))))), G2=d(A, d(d(B, d(d(2, d(1, d(C, J2))), d(C, K2))), d(d(2, d(1, d(C, d(F, K2)))), d(C, d(F, J2))))), H2=d(W1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I2=d(W1, d(1, R1)), L2=d(W1, d(1, d(F, A2))), M2=d(W1, d(1, d(F, F2))), N2=d(W1, d(1, A2)), J2=d(W1, d(1, F2)), C2=d(W1, d(1, E2)), V1=d(W1, N), O2=d(W1, d(T, d(G, M1))), D=d(W1, d(T, d(G, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), P1))))), J1)))), Z)))), H1)))), Z)))))), Z))))), N1)))), E=d(W1, d(A, d(d(B, d(d(2, d(1, d(C, L2))), d(C, P2))), d(d(2, d(1, d(C, d(F, P2)))), d(C, d(F, L2)))))), K2=d(W1, d(A, d(d(B, d(d(2, d(1, Y1)), d(C, M2))), d(d(2, d(1, d(C, d(F, M2)))), S)))), P2=d(W1, d(A, d(d(B, d(d(2, d(1, d(C, O2))), d(C, N2))), d(d(2, d(1, d(C, d(F, N2)))), d(C, d(F, O2))))))]).
mm_proof(bi2bian9, d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, F))))), d(E, G))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(C, d(D, d(E, d(H, G)))))), d(E, d(H, F)))))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, P))), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), M=d(2, d(K, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, T))))), R))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), X=d(d(d(2, d(1, 2)), 1), 3), Y=d(d(d(2, d(1, 2)), 1), K), Z=d(d(d(2, d(1, 2)), 1), L), A1=d(d(d(2, d(1, 2)), 1), d(2, d(1, B1))), C1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(D1, d(E1, F1))))), G1=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), D1), H=d(d(d(2, d(1, 2)), 1), E1), A=d(d(d(2, d(1, 2)), 1), B1), H1=d(d(d(2, d(1, 2)), 1), I1), N=d(d(2, 1), 1), J1=d(I, 1), R=d(I, N), K1=d(I, d(d(2, d(1, L1)), V)), V=d(K, R), M1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), K1)))), R)), P=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1), S=d(d(2, d(1, d(2, N))), R), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), K1)))), R), D1=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, W)), d(D1, d(d(3, d(3, d(1, O1))), O1))), L1=d(d(2, d(K, d(d(2, d(1, d(2, V))), N))), N), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, D1))))), R))), N1)))), R)), N), P1=d(H1, d(D, d(H, Q1))), R1=d(H1, d(D, d(H, S1))), T1=d(H1, d(D, Q1)), U1=d(H1, d(D, S1)), G=d(H1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(D1, V1)))), d(E, W1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, W1))))), d(D1, d(E1, V1)))))), W1=d(H1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, X1)))), d(D1, Y1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(D1, d(E1, Y1))))), d(E, d(H, X1)))))), X1=d(H1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, Z1)))), I1))), d(A1, d(E, d(H, Z1)))))), F=d(H1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, A2)))), I1))), d(A1, d(E, d(H, A2)))))), Q1=d(H1, B2), S1=d(H1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(X, d(G1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(Y, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, B2))), d(D1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M1))))), R))))), K1))))), R))))))), R)))))), C2)), B2=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(X, d(G1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(Y, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, I)))), K1))))), R))))))), R)))))), C2), Z1=d(d(2, d(B, d(A1, d(E, D2)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, D2))))), E2)), A2=d(d(2, d(B, d(A1, d(E, F2)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, F2))))), E2)), D2=d(d(2, d(B, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, T1)))), G2))), d(C1, d(E, d(H, T1))))))), d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, P1)))), G2))), d(C1, d(E, d(H, P1)))))), F2=d(d(2, d(B, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, U1)))), G2))), d(C1, d(E, d(H, U1))))))), d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, R1)))), G2))), d(C1, d(E, d(H, R1)))))), C2=d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E2=d(D1, d(E1, H2)), B1=d(D1, H2), I1=d(D1, I2), G2=d(D1, F1), O1=d(L1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1)))), R))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, K1)))), R)))))), R)))))), K1)))), R))), N))))), H2=d(E1, I2), I2=d(d(P, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(J, d(2, d(1, N1)))))))), R))), d(J, d(2, d(1, D1))))))), R)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, P)))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), J1)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), J1)))), R))))), J2=d(d(P, E1), E1), V1=d(I1, d(1, d(E1, J2))), Y1=d(I1, d(1, J2)), F1=d(I1, N)]).
mm_proof(anbiim, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, K))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, L))))), M))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), M)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), M))))), R))))), M))))))), M)))))), S))))))), M))))), K)))))), M)))), P)-[F=d(2, d(1, 1)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, P))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), V=d(2, d(T, W)), X=d(3, d(V, Y)), N=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, W))))), M))), C=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), I=d(d(d(2, d(1, 2)), 1), T), J=d(d(d(2, d(1, 2)), 1), U), H=d(d(d(2, d(1, 2)), 1), V), B=d(d(d(2, d(1, 2)), 1), D), P=d(d(2, 1), 1), M=d(F, P), R=d(F, d(d(2, d(1, Z)), Y)), Y=d(T, M), Q=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), M)))), R)))), M)), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), R)))), M), L=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(T, d(d(2, d(1, d(2, Y))), P))), P), K=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, F)))), R))))), M))))))), M)))))), S), S=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(Z, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), M))), P))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(E, R)))), M)))))), M)))))), R)))), M))), P)))))]).
mm_proof(an21, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, B))), L=d(2, d(1, M)), N=d(2, d(1, C)), O=d(2, d(1, d(C, P))), Q=d(2, d(1, d(C, d(A, R)))), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, X))))), d(1, Y)))), Z=d(2, d(H, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, A1))))), X))), M=d(d(2, 1), 1), E1=d(F, 1), X=d(F, M), F1=d(F, G1), C1=d(H, X), H1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), F1)))), X)), I1=d(d(2, d(1, d(2, d(1, d(L, J1))))), H1), B=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1), Y=d(d(2, d(1, d(2, M))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, L)), F1)))), X), K1=d(d(2, d(1, d(2, I1))), X), C=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, D1)), d(C, d(d(3, d(3, d(1, M1))), M1))), N1=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), F1)))), X)))))), X))))), O1), G1=d(d(2, d(1, P1)), C1), P1=d(d(2, d(H, d(d(2, d(1, d(2, C1))), M))), M), J=d(Z, M), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, C))))), X))), L1)))), X)), M), O1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(C, Q1), R1=d(C, d(A, S1)), T1=d(C, d(A, U1)), T=d(C, d(A, V1)), W1=d(C, d(d(B, d(d(2, d(1, d(C, X1))), d(C, Y1))), d(d(2, d(1, d(C, d(A, Y1)))), d(C, d(A, X1))))), Z1=d(C, S1), V=d(C, U1), A2=d(C, R), B2=d(C, V1), M1=d(P1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), X))), M))), d(3, d(Z, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, F1)))), X)))))), X)))))), F1)))), X))), M))))), Q1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A, C2), D2=d(A, d(d(B, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K1)), J1))))), H1)))))), X)))), F1)))), X)))))), X))))), O1)))), F1)))), X)))))), X))))), O1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(F, d(d(2, d(1, d(2, d(W, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I1)), J1))))), H1)))))), X)))))), X)))), F1)))), X)))))), X))))), O1)))), X)))), F1)))), X)))))), X))))), O1))), X1=d(A, d(d(B, d(d(2, d(1, d(C, E2))), A2)), d(Q, d(C, d(A, E2))))), C2=d(d(B, N1), N1), F2=d(d(B, d(O, d(C, G2))), d(d(2, d(1, d(C, d(A, G2)))), d(C, d(A, P)))), E=d(d(B, d(d(2, d(1, d(C, D2))), d(C, H2))), d(d(2, d(1, d(C, d(A, H2)))), d(C, d(A, D2)))), D=d(d(B, d(d(2, d(1, d(C, F2))), d(C, C2))), d(O, d(C, d(A, F2)))), Y1=d(d(B, d(d(2, d(1, d(C, I2))), d(C, J2))), d(d(2, d(1, d(C, d(A, J2)))), d(C, d(A, I2)))), E2=d(d(B, d(d(2, d(1, d(C, K2))), V)), d(d(2, d(1, T1)), d(C, d(A, K2)))), I2=d(d(B, d(d(2, d(1, d(C, L2))), Z1)), d(d(2, d(1, R1)), d(C, d(A, L2)))), K2=d(d(B, d(U, A2)), d(Q, T1)), M2=d(d(B, J), G1), S1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, L1)))))))), X))), d(G, N))))), X)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(W, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E1)))), X)))))), d(W, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), E1)))), X))))), L2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, N2))))))), X))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(U, N2))))), X)))), X)))))), X)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), X))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(U, M))))), X)))), X)))))), X)), M)), U1=d(d(B, A), A), R=d(d(B, d(R1, d(d(B, d(d(2, d(1, d(C, O2))), B2)), d(S, d(C, d(A, O2)))))), d(R1, d(d(B, d(d(2, d(1, d(C, P2))), B2)), d(S, d(C, d(A, P2)))))), N2=d(R1, d(d(B, d(d(2, d(1, d(C, Q2))), d(C, R2))), d(d(2, d(1, d(C, d(A, R2)))), d(C, d(A, Q2))))), H2=d(W1, d(1, d(d(B, M), M))), G2=d(W1, d(1, C2)), O2=d(Z1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P2=d(Z1, d(1, Q1)), S2=d(Z1, d(1, d(A, M2))), Q2=d(Z1, d(1, M2)), J2=d(Z1, d(1, L2)), V1=d(Z1, M), R2=d(Z1, d(R1, d(d(B, d(d(2, d(1, B2)), d(C, S2))), d(d(2, d(1, d(C, d(A, S2)))), T))))]).
mm_proof(an12, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, M)), N=d(2, d(1, B)), O=d(2, d(1, d(B, d(E, P)))), Q=d(2, d(1, R)), S=d(2, d(1, T)), U=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, V))))), d(1, W)))), X=d(2, d(H, Y)), Z=d(3, d(X, A1)), B1=d(3, d(X, d(d(2, d(1, d(2, d(H, d(I, Y))))), V))), M=d(d(2, 1), 1), C1=d(F, 1), V=d(F, M), D1=d(F, E1), A1=d(H, V), F1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), D1)))), V)), G1=d(d(2, d(1, d(2, d(1, d(L, H1))))), F1), A=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1), W=d(d(2, d(1, d(2, M))), V), Y=d(d(2, d(1, d(2, d(d(2, d(1, L)), D1)))), V), I1=d(d(2, d(1, d(2, G1))), V), B=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, B1)), d(B, d(d(3, d(3, d(1, K1))), K1))), L1=d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), D1)))), V)))))), V))))), M1), E1=d(d(2, d(1, N1)), A1), N1=d(d(2, d(H, d(d(2, d(1, d(2, A1))), M))), M), J=d(X, M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), V))), J1)))), V)), M), M1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H1=d(B, O1), P1=d(B, d(E, Q1)), R1=d(B, d(E, S1)), R=d(B, d(E, T1)), U1=d(B, Q1), T=d(B, S1), V1=d(B, P), W1=d(B, T1), K1=d(N1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), V))), M))), d(3, d(X, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, D1)))), V)))))), V)))))), D1)))), V))), M))))), O1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, X1), Y1=d(E, d(d(A, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I1)), H1))))), F1)))))), V)))), D1)))), V)))))), V))))), M1)))), D1)))), V)))))), V))))), M1)), d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(F, d(d(2, d(1, d(2, d(U, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, G1)), H1))))), F1)))))), V)))))), V)))), D1)))), V)))))), V))))), M1)))), V)))), D1)))), V)))))), V))))), M1))), Z1=d(E, d(d(A, d(d(2, d(1, d(B, A2))), V1)), d(O, d(B, d(E, A2))))), X1=d(d(A, L1), L1), D=d(d(A, d(d(2, d(1, d(B, Y1))), d(B, B2))), d(d(2, d(1, d(B, d(E, B2)))), d(B, d(E, Y1)))), C2=d(d(A, d(d(2, d(1, d(B, D2))), d(B, E2))), d(d(2, d(1, d(B, d(E, E2)))), d(B, d(E, D2)))), A2=d(d(A, d(d(2, d(1, d(B, F2))), T)), d(d(2, d(1, R1)), d(B, d(E, F2)))), D2=d(d(A, d(d(2, d(1, d(B, G2))), U1)), d(d(2, d(1, P1)), d(B, d(E, G2)))), F2=d(d(A, d(S, V1)), d(O, R1)), H2=d(d(A, J), E1), Q1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, J1)))))))), V))), d(G, N))))), V)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(U, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), C1)))), V)))))), d(U, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), C1)))), V))))), G2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, I2))))))), V))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(S, I2))))), V)))), V)))))), V)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), V))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(S, M))))), V)))), V)))))), V)), M)), S1=d(d(A, E), E), P=d(d(A, d(P1, d(d(A, d(d(2, d(1, d(B, J2))), W1)), d(Q, d(B, d(E, J2)))))), d(P1, d(d(A, d(d(2, d(1, d(B, K2))), W1)), d(Q, d(B, d(E, K2)))))), I2=d(P1, d(d(A, d(d(2, d(1, d(B, L2))), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), d(B, d(E, L2))))), B2=d(d(B, d(d(A, d(d(2, d(1, d(B, Z1))), d(B, C2))), d(d(2, d(1, d(B, d(E, C2)))), d(B, d(E, Z1))))), d(1, X1)), J2=d(U1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K2=d(U1, d(1, O1)), N2=d(U1, d(1, d(E, H2))), L2=d(U1, d(1, H2)), E2=d(U1, d(1, G2)), T1=d(U1, M), M2=d(U1, d(P1, d(d(A, d(d(2, d(1, W1)), d(B, N2))), d(d(2, d(1, d(B, d(E, N2)))), R))))]).
mm_proof(an32, d(d(A, d(B, d(C, D))), d(d(2, d(1, d(C, d(E, D)))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, C)), B=d(2, d(1, d(C, P))), Q=d(2, d(1, d(C, d(E, R)))), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, X))))), d(1, Y)))), Z=d(2, d(I, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, A1))))), X))), N=d(d(2, 1), 1), E1=d(G, 1), X=d(G, N), F1=d(G, G1), C1=d(I, X), H1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), F1)))), X)), I1=d(d(2, d(1, d(2, d(1, d(M, J1))))), H1), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1), Y=d(d(2, d(1, d(2, N))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, M)), F1)))), X), K1=d(d(2, d(1, d(2, I1))), X), C=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, D1)), d(C, d(d(3, d(3, d(1, M1))), M1))), N1=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), F1)))), X)))))), X))))), O1), G1=d(d(2, d(1, P1)), C1), P1=d(d(2, d(I, d(d(2, d(1, d(2, C1))), N))), N), K=d(Z, N), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), X))), L1)))), X)), N), O1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(C, Q1), F=d(C, d(E, P)), R1=d(C, d(E, S1)), T1=d(C, d(E, U1)), T=d(C, d(E, V1)), W1=d(C, d(d(A, d(d(2, d(1, d(C, X1))), d(C, Y1))), d(d(2, d(1, d(C, d(E, Y1)))), d(C, d(E, X1))))), Z1=d(C, S1), V=d(C, U1), A2=d(C, R), B2=d(C, V1), M1=d(P1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), X))), N))), d(3, d(Z, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, F1)))), X)))))), X)))))), F1)))), X))), N))))), Q1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(E, C2), D2=d(E, d(d(A, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K1)), J1))))), H1)))))), X)))), F1)))), X)))))), X))))), O1)))), F1)))), X)))))), X))))), O1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I1)), J1))))), H1)))))), X)))))), X)))), F1)))), X)))))), X))))), O1)))), X)))), F1)))), X)))))), X))))), O1))), D=d(E, d(d(A, d(d(2, d(1, d(C, E2))), d(C, F2))), d(d(2, d(1, d(C, d(E, F2)))), d(C, d(E, E2))))), X1=d(E, d(d(A, d(d(2, d(1, d(C, G2))), A2)), d(Q, d(C, d(E, G2))))), C2=d(d(A, N1), N1), H2=d(d(A, d(B, d(C, I2))), d(d(2, d(1, d(C, d(E, I2)))), F)), F2=d(d(A, d(d(2, d(1, d(C, D2))), d(C, J2))), d(d(2, d(1, d(C, d(E, J2)))), d(C, d(E, D2)))), E2=d(d(A, d(d(2, d(1, d(C, H2))), d(C, C2))), d(B, d(C, d(E, H2)))), Y1=d(d(A, d(d(2, d(1, d(C, K2))), d(C, L2))), d(d(2, d(1, d(C, d(E, L2)))), d(C, d(E, K2)))), G2=d(d(A, d(d(2, d(1, d(C, M2))), V)), d(d(2, d(1, T1)), d(C, d(E, M2)))), K2=d(d(A, d(d(2, d(1, d(C, N2))), Z1)), d(d(2, d(1, R1)), d(C, d(E, N2)))), M2=d(d(A, d(U, A2)), d(Q, T1)), O2=d(d(A, K), G1), S1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, L1)))))))), X))), d(H, O))))), X)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E1)))), X)))))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), E1)))), X))))), N2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, P2))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(U, P2))))), X)))), X)))))), X)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(U, N))))), X)))), X)))))), X)), N)), U1=d(d(A, E), E), R=d(d(A, d(R1, d(d(A, d(d(2, d(1, d(C, Q2))), B2)), d(S, d(C, d(E, Q2)))))), d(R1, d(d(A, d(d(2, d(1, d(C, R2))), B2)), d(S, d(C, d(E, R2)))))), P2=d(R1, d(d(A, d(d(2, d(1, d(C, S2))), d(C, T2))), d(d(2, d(1, d(C, d(E, T2)))), d(C, d(E, S2))))), J2=d(W1, d(1, d(d(A, N), N))), I2=d(W1, d(1, C2)), Q2=d(Z1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R2=d(Z1, d(1, Q1)), U2=d(Z1, d(1, d(E, O2))), S2=d(Z1, d(1, O2)), L2=d(Z1, d(1, N2)), V1=d(Z1, N), T2=d(Z1, d(R1, d(d(A, d(d(2, d(1, B2)), d(C, U2))), d(d(2, d(1, d(C, d(E, U2)))), T))))]).
mm_proof(an13, d(d(A, d(d(2, d(1, B)), d(C, D))), d(d(2, d(1, d(C, d(E, D)))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, C)), P=d(2, d(1, F)), Q=d(2, d(1, d(C, d(E, R)))), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, X))))), d(1, Y)))), Z=d(2, d(I, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, A1))))), X))), N=d(d(2, 1), 1), E1=d(G, 1), X=d(G, N), F1=d(G, G1), C1=d(I, X), H1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), F1)))), X)), I1=d(d(2, d(1, d(2, d(1, d(M, J1))))), H1), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1), Y=d(d(2, d(1, d(2, N))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, M)), F1)))), X), K1=d(d(2, d(1, d(2, I1))), X), C=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, D1)), d(C, d(d(3, d(3, d(1, M1))), M1))), N1=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), F1)))), X)))))), X))))), O1), G1=d(d(2, d(1, P1)), C1), P1=d(d(2, d(I, d(d(2, d(1, d(2, C1))), N))), N), K=d(Z, N), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), X))), L1)))), X)), N), O1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(C, Q1), F=d(C, R1), S1=d(C, d(E, T1)), U1=d(C, d(E, V1)), T=d(C, d(E, W1)), B=d(C, X1), Y1=d(C, d(d(A, d(d(2, d(1, d(C, Z1))), d(C, A2))), d(d(2, d(1, d(C, d(E, A2)))), d(C, d(E, Z1))))), B2=d(C, T1), V=d(C, V1), C2=d(C, R), D2=d(C, W1), M1=d(P1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), X))), N))), d(3, d(Z, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, F1)))), X)))))), X)))))), F1)))), X))), N))))), Q1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(E, d(E, d(d(A, d(d(2, d(1, d(C, E2))), d(C, F2))), d(d(2, d(1, d(C, d(E, F2)))), d(C, d(E, E2)))))), R1=d(E, X1), G2=d(E, d(d(A, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K1)), J1))))), H1)))))), X)))), F1)))), X)))))), X))))), O1)))), F1)))), X)))))), X))))), O1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I1)), J1))))), H1)))))), X)))))), X)))), F1)))), X)))))), X))))), O1)))), X)))), F1)))), X)))))), X))))), O1))), Z1=d(E, d(d(A, d(d(2, d(1, d(C, H2))), C2)), d(Q, d(C, d(E, H2))))), X1=d(d(A, N1), N1), I2=d(d(A, d(P, d(C, J2))), d(d(2, d(1, d(C, d(E, J2)))), d(C, d(E, R1)))), F2=d(d(A, d(d(2, d(1, d(C, G2))), d(C, K2))), d(d(2, d(1, d(C, d(E, K2)))), d(C, d(E, G2)))), E2=d(d(A, d(d(2, d(1, d(C, I2))), B)), d(P, d(C, d(E, I2)))), A2=d(d(A, d(d(2, d(1, d(C, L2))), d(C, M2))), d(d(2, d(1, d(C, d(E, M2)))), d(C, d(E, L2)))), H2=d(d(A, d(d(2, d(1, d(C, N2))), V)), d(d(2, d(1, U1)), d(C, d(E, N2)))), L2=d(d(A, d(d(2, d(1, d(C, O2))), B2)), d(d(2, d(1, S1)), d(C, d(E, O2)))), N2=d(d(A, d(U, C2)), d(Q, U1)), P2=d(d(A, K), G1), T1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, L1)))))))), X))), d(H, O))))), X)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), E1)))), X)))))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), E1)))), X))))), O2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, Q2))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(U, Q2))))), X)))), X)))))), X)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(U, N))))), X)))), X)))))), X)), N)), V1=d(d(A, E), E), R=d(d(A, d(S1, d(d(A, d(d(2, d(1, d(C, R2))), D2)), d(S, d(C, d(E, R2)))))), d(S1, d(d(A, d(d(2, d(1, d(C, S2))), D2)), d(S, d(C, d(E, S2)))))), Q2=d(S1, d(d(A, d(d(2, d(1, d(C, T2))), d(C, U2))), d(d(2, d(1, d(C, d(E, U2)))), d(C, d(E, T2))))), K2=d(Y1, d(1, d(d(A, N), N))), J2=d(Y1, d(1, X1)), R2=d(B2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S2=d(B2, d(1, Q1)), V2=d(B2, d(1, d(E, P2))), T2=d(B2, d(1, P2)), M2=d(B2, d(1, O2)), W1=d(B2, N), U2=d(B2, d(S1, d(d(A, d(d(2, d(1, D2)), d(C, V2))), d(d(2, d(1, d(C, d(E, V2)))), T))))]).
mm_proof(an31, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, B)), P=d(2, d(1, Q)), E=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, d(F, T)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Z))))), d(1, A1)))), B1=d(2, d(I, C1)), D1=d(3, d(B1, E1)), F1=d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, C1))))), Z))), N=d(d(2, 1), 1), G1=d(G, 1), Z=d(G, N), H1=d(G, I1), E1=d(I, Z), J1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), H1)))), Z)), K1=d(d(2, d(1, d(2, d(1, d(M, L1))))), J1), A=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), A1=d(d(2, d(1, d(2, N))), Z), C1=d(d(2, d(1, d(2, d(d(2, d(1, M)), H1)))), Z), M1=d(d(2, d(1, d(2, K1))), Z), B=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, F1)), d(B, d(d(3, d(3, d(1, O1))), O1))), P1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), H1)))), Z)))))), Z))))), Q1), I1=d(d(2, d(1, R1)), E1), R1=d(d(2, d(I, d(d(2, d(1, d(2, E1))), N))), N), K=d(B1, N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), Z))), N1)))), Z)), N), Q1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L1=d(B, S1), T1=d(B, d(F, R)), Q=d(B, U1), V1=d(B, d(F, W1)), X1=d(B, d(F, Y1)), V=d(B, d(F, Z1)), A2=d(B, B2), C2=d(B, d(d(A, d(d(2, d(1, d(B, D2))), d(B, E2))), d(d(2, d(1, d(B, d(F, E2)))), d(B, d(F, D2))))), F2=d(B, W1), X=d(B, Y1), G2=d(B, T), H2=d(B, Z1), O1=d(R1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Z))), N))), d(3, d(B1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, H1)))), Z)))))), Z)))))), H1)))), Z))), N))))), S1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I2=d(F, d(F, d(d(A, d(d(2, d(1, d(B, J2))), d(B, K2))), d(d(2, d(1, d(B, d(F, K2)))), d(B, d(F, J2)))))), U1=d(F, B2), R=d(F, D), D2=d(F, d(d(A, d(d(2, d(1, d(B, L2))), G2)), d(S, d(B, d(F, L2))))), B2=d(d(A, P1), P1), D=d(d(A, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), L1))))), J1)))))), Z)))), H1)))), Z)))))), Z))))), Q1)))), H1)))), Z)))))), Z))))), Q1)), d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, d(G, d(d(2, d(1, d(2, d(Y, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K1)), L1))))), J1)))))), Z)))))), Z)))), H1)))), Z)))))), Z))))), Q1)))), Z)))), H1)))), Z)))))), Z))))), Q1)), M2=d(d(A, d(P, d(B, N2))), d(d(2, d(1, d(B, d(F, N2)))), d(B, d(F, U1)))), C=d(d(A, d(E, d(B, O2))), d(d(2, d(1, d(B, d(F, O2)))), T1)), K2=d(d(A, d(E, d(B, P2))), d(d(2, d(1, d(B, d(F, P2)))), T1)), O2=d(d(A, d(d(2, d(1, A2)), d(B, I2))), d(d(2, d(1, d(B, d(F, I2)))), Q)), J2=d(d(A, d(d(2, d(1, d(B, M2))), A2)), d(P, d(B, d(F, M2)))), E2=d(d(A, d(d(2, d(1, d(B, Q2))), d(B, R2))), d(d(2, d(1, d(B, d(F, R2)))), d(B, d(F, Q2)))), L2=d(d(A, d(d(2, d(1, d(B, S2))), X)), d(d(2, d(1, X1)), d(B, d(F, S2)))), Q2=d(d(A, d(d(2, d(1, d(B, T2))), F2)), d(d(2, d(1, V1)), d(B, d(F, T2)))), S2=d(d(A, d(W, G2)), d(S, X1)), U2=d(d(A, K), I1), W1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, N1)))))))), Z))), d(H, O))))), Z)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(Y, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), G1)))), Z)))))), d(Y, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), G1)))), Z))))), T2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, V2))))))), Z))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, V2))))), Z)))), Z)))))), Z)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), Z))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, N))))), Z)))), Z)))))), Z)), N)), Y1=d(d(A, F), F), T=d(d(A, d(V1, d(d(A, d(d(2, d(1, d(B, W2))), H2)), d(U, d(B, d(F, W2)))))), d(V1, d(d(A, d(d(2, d(1, d(B, X2))), H2)), d(U, d(B, d(F, X2)))))), V2=d(V1, d(d(A, d(d(2, d(1, d(B, Y2))), d(B, Z2))), d(d(2, d(1, d(B, d(F, Z2)))), d(B, d(F, Y2))))), P2=d(C2, d(1, d(d(A, N), N))), N2=d(C2, d(1, B2)), W2=d(F2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X2=d(F2, d(1, S1)), A3=d(F2, d(1, d(F, U2))), Y2=d(F2, d(1, U2)), R2=d(F2, d(1, T2)), Z1=d(F2, N), Z2=d(F2, d(V1, d(d(A, d(d(2, d(1, H2)), d(B, A3))), d(d(2, d(1, d(B, d(F, A3)))), V))))]).
mm_proof(ancom2s, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, C))))), D)))), J)))), K)))), J)))))), J))))), L))))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L))))))), J)))), d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L)))), M)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), I=d(2, d(1, M)), F=d(2, d(G, P)), Q=d(3, d(F, R)), O=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, P))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), J=d(E, M), K=d(E, d(d(2, d(1, S)), R)), R=d(G, J), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), K)))), J)), P=d(d(2, d(1, d(2, d(d(2, d(1, I)), K)))), J), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(G, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(E, T))))), J))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), M))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(N, K)))), J)))))), J)))))), K)))), J))), M)))))]).
mm_proof(an13s, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), I)))))), J))))), K)))), I)))))), J))))))), K))))))), K))))))))), K))))))), K))))), L))))), K))))))), K)))))), M))))), K))))), L))))), K))))))), K)))))), M)-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), R=d(2, d(P, V)), W=d(3, d(R, X)), U=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, V))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, K))))), d(1, Y))))), D=d(d(d(2, d(1, 2)), 1), R), S=d(d(2, 1), 1), K=d(N, S), L=d(N, d(d(2, d(1, Z)), X)), X=d(P, K), J=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), L)))), K)), Y=d(d(2, d(1, d(2, S))), K), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), L)))), K), A1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(P, d(d(2, d(1, d(2, X))), S))), S), M=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(N, A1))))), K))), d(d(2, d(1, U)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), K)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), S))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(T, L)))), K)))))), K)))))), L)))), K))), S)))))]).
mm_proof(ancom1s, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, F))))), G)))), H)))), K)))), H)))))), H))))), L))))))), H))))), H))))), K))))), H))))))), H)))))), L)-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), J=d(2, d(1, M)), C=d(2, d(D, P)), Q=d(3, d(C, R)), O=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), H=d(I, M), K=d(I, d(d(2, d(1, S)), R)), R=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), K)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, J)), K)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(D, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), H))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(N, K)))), H)))))), H)))))), K)))), H))), M)))))]).
mm_proof(an31s, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), I)))))), J)))), I)))))), J))))))), K))))))), L))))), K))))))), K)))))), M))))), L))))), K))))))), K)))))), M)-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), R=d(2, d(P, V)), W=d(3, d(R, X)), U=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, V))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), N), E=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, K))))), d(1, Y))))), D=d(d(d(2, d(1, 2)), 1), R), S=d(d(2, 1), 1), K=d(N, S), L=d(N, d(d(2, d(1, Z)), X)), X=d(P, K), J=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), L)))), K)), Y=d(d(2, d(1, d(2, S))), K), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), L)))), K), A1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(P, d(d(2, d(1, d(2, X))), S))), S), M=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(N, A1))))), K))), d(d(2, d(1, U)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), K)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), S))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(T, L)))), K)))))), K)))))), L)))), K))), S)))))]).
mm_proof(an4, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, B)), E=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, d(F, R)))), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, X))))), d(1, Y)))), Z=d(2, d(I, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, A1))))), X))), N=d(d(2, 1), 1), E1=d(G, 1), X=d(G, N), F1=d(G, G1), C1=d(I, X), H1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), F1)))), X)), I1=d(d(2, d(1, d(2, d(1, d(M, J1))))), H1), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1), Y=d(d(2, d(1, d(2, N))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, M)), F1)))), X), K1=d(d(2, d(1, d(2, I1))), X), B=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, D1)), d(B, d(d(3, d(3, d(1, M1))), M1))), N1=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), F1)))), X)))))), X))))), O1), G1=d(d(2, d(1, P1)), C1), P1=d(d(2, d(I, d(d(2, d(1, d(2, C1))), N))), N), K=d(Z, N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), X))), L1)))), X)), N), O1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(B, Q1), R1=d(B, d(F, P)), S1=d(B, d(F, T1)), U1=d(B, d(F, V1)), T=d(B, d(F, W1)), X1=d(B, d(d(A, d(d(2, d(1, d(B, Y1))), d(B, Z1))), d(d(2, d(1, d(B, d(F, Z1)))), d(B, d(F, Y1))))), A2=d(B, T1), V=d(B, V1), B2=d(B, R), C2=d(B, W1), M1=d(P1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), X))), N))), d(3, d(Z, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, F1)))), X)))))), X)))))), F1)))), X))), N))))), Q1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D2=d(F, E2), P=d(F, D), Y1=d(F, d(d(A, d(d(2, d(1, d(B, F2))), B2)), d(Q, d(B, d(F, F2))))), E2=d(d(A, N1), N1), D=d(d(A, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K1)), J1))))), H1)))))), X)))), F1)))), X)))))), X))))), O1)))), F1)))), X)))))), X))))), O1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(W, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I1)), J1))))), H1)))))), X)))))), X)))), F1)))), X)))))), X))))), O1)))), X)))), F1)))), X)))))), X))))), O1)), G2=d(d(A, d(E, d(B, H2))), d(d(2, d(1, d(B, d(F, H2)))), R1)), C=d(d(A, d(E, d(B, I2))), d(d(2, d(1, d(B, d(F, I2)))), R1)), Z1=d(d(A, d(d(2, d(1, d(B, J2))), d(B, K2))), d(d(2, d(1, d(B, d(F, K2)))), d(B, d(F, J2)))), F2=d(d(A, d(d(2, d(1, d(B, L2))), V)), d(d(2, d(1, U1)), d(B, d(F, L2)))), J2=d(d(A, d(d(2, d(1, d(B, M2))), A2)), d(d(2, d(1, S1)), d(B, d(F, M2)))), L2=d(d(A, d(U, B2)), d(Q, U1)), N2=d(d(A, K), G1), T1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, L1)))))))), X))), d(H, O))))), X)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), E1)))), X)))))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), E1)))), X))))), M2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, O2))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(U, O2))))), X)))), X)))))), X)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(U, N))))), X)))), X)))))), X)), N)), V1=d(d(A, F), F), R=d(d(A, d(S1, d(d(A, d(d(2, d(1, d(B, P2))), C2)), d(S, d(B, d(F, P2)))))), d(S1, d(d(A, d(d(2, d(1, d(B, Q2))), C2)), d(S, d(B, d(F, Q2)))))), O2=d(S1, d(d(A, d(d(2, d(1, d(B, R2))), d(B, S2))), d(d(2, d(1, d(B, d(F, S2)))), d(B, d(F, R2))))), H2=d(X1, d(1, E2)), I2=d(X1, d(1, d(d(A, d(d(2, d(1, d(B, D2))), d(B, G2))), d(d(2, d(1, d(B, d(F, G2)))), d(B, d(F, D2)))))), P2=d(A2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q2=d(A2, d(1, Q1)), T2=d(A2, d(1, d(F, N2))), R2=d(A2, d(1, N2)), K2=d(A2, d(1, M2)), W1=d(A2, N), S2=d(A2, d(S1, d(d(A, d(d(2, d(1, C2)), d(B, T2))), d(d(2, d(1, d(B, d(F, T2)))), T))))]).
mm_proof(an42, d(d(A, d(d(2, d(1, B)), d(C, D))), d(d(2, d(1, d(C, d(E, D)))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, C)), P=d(2, d(1, d(C, Q))), R=d(2, d(1, d(C, d(E, S)))), T=d(2, d(1, U)), V=d(2, d(1, W)), X=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Y))))), d(1, Z)))), A1=d(2, d(I, B1)), C1=d(3, d(A1, D1)), E1=d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, B1))))), Y))), N=d(d(2, 1), 1), F1=d(G, 1), Y=d(G, N), G1=d(G, H1), D1=d(I, Y), I1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), G1)))), Y)), J1=d(d(2, d(1, d(2, d(1, d(M, K1))))), I1), A=d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1), Z=d(d(2, d(1, d(2, N))), Y), B1=d(d(2, d(1, d(2, d(d(2, d(1, M)), G1)))), Y), L1=d(d(2, d(1, d(2, J1))), Y), C=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(1, E1)), d(C, d(d(3, d(3, d(1, N1))), N1))), O1=d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), G1)))), Y)))))), Y))))), P1), H1=d(d(2, d(1, Q1)), D1), Q1=d(d(2, d(I, d(d(2, d(1, d(2, D1))), N))), N), K=d(A1, N), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), Y))), M1)))), Y)), N), P1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K1=d(C, R1), S1=d(C, d(E, Q)), T1=d(C, d(E, U1)), V1=d(C, d(E, W1)), F=d(C, d(E, X1)), U=d(C, d(E, Y1)), Z1=d(C, d(d(A, d(d(2, d(1, d(C, A2))), d(C, B2))), d(d(2, d(1, d(C, d(E, B2)))), d(C, d(E, A2))))), C2=d(C, U1), W=d(C, W1), D2=d(C, S), B=d(C, X1), E2=d(C, Y1), N1=d(Q1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), Y))), N))), d(3, d(A1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, G1)))), Y)))))), Y)))))), G1)))), Y))), N))))), R1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F2=d(E, G2), Q=d(E, H2), A2=d(E, d(d(A, d(d(2, d(1, d(C, I2))), D2)), d(R, d(C, d(E, I2))))), G2=d(d(A, O1), O1), H2=d(d(A, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L1)), K1))))), I1)))))), Y)))), G1)))), Y)))))), Y))))), P1)))), G1)))), Y)))))), Y))))), P1)), d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, d(G, d(d(2, d(1, d(2, d(X, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, J1)), K1))))), I1)))))), Y)))))), Y)))), G1)))), Y)))))), Y))))), P1)))), Y)))), G1)))), Y)))))), Y))))), P1)), J2=d(d(A, d(P, B)), d(d(2, d(1, F)), S1)), K2=d(d(A, d(P, d(C, L2))), d(d(2, d(1, d(C, d(E, L2)))), S1)), D=d(d(A, d(d(2, d(1, d(C, K2))), d(C, H2))), d(P, d(C, d(E, K2)))), B2=d(d(A, d(d(2, d(1, d(C, M2))), d(C, N2))), d(d(2, d(1, d(C, d(E, N2)))), d(C, d(E, M2)))), I2=d(d(A, d(d(2, d(1, d(C, O2))), W)), d(d(2, d(1, V1)), d(C, d(E, O2)))), M2=d(d(A, d(d(2, d(1, d(C, P2))), C2)), d(d(2, d(1, T1)), d(C, d(E, P2)))), O2=d(d(A, d(V, D2)), d(R, V1)), Q2=d(d(A, K), H1), U1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, M1)))))))), Y))), d(H, O))))), Y)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(X, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), F1)))), Y)))))), d(X, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), F1)))), Y))))), P2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, R2))))))), Y))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(V, R2))))), Y)))), Y)))))), Y)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), Y))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(V, N))))), Y)))), Y)))))), Y)), N)), W1=d(d(A, E), E), S=d(d(A, d(T1, d(d(A, d(d(2, d(1, d(C, S2))), E2)), d(T, d(C, d(E, S2)))))), d(T1, d(d(A, d(d(2, d(1, d(C, T2))), E2)), d(T, d(C, d(E, T2)))))), R2=d(T1, d(d(A, d(d(2, d(1, d(C, U2))), d(C, V2))), d(d(2, d(1, d(C, d(E, V2)))), d(C, d(E, U2))))), X1=d(Z1, d(1, G2)), L2=d(Z1, d(1, d(d(A, d(d(2, d(1, d(C, F2))), d(C, J2))), d(d(2, d(1, d(C, d(E, J2)))), d(C, d(E, F2)))))), S2=d(C2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T2=d(C2, d(1, R1)), W2=d(C2, d(1, d(E, Q2))), U2=d(C2, d(1, Q2)), N2=d(C2, d(1, P2)), Y1=d(C2, N), V2=d(C2, d(T1, d(d(A, d(d(2, d(1, E2)), d(C, W2))), d(d(2, d(1, d(C, d(E, W2)))), U))))]).
mm_proof(an43, d(A, d(d(B, d(d(2, d(1, C)), d(D, E))), d(d(2, d(1, d(D, d(A, E)))), F)))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, N)), O=d(2, d(1, D)), P=d(2, d(1, d(D, Q))), R=d(2, d(1, d(D, d(A, S)))), T=d(2, d(1, U)), V=d(2, d(1, W)), X=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Y))))), d(1, Z)))), A1=d(2, d(I, B1)), C1=d(3, d(A1, D1)), E1=d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, B1))))), Y))), N=d(d(2, 1), 1), F1=d(G, 1), Y=d(G, N), G1=d(G, H1), D1=d(I, Y), I1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), G1)))), Y)), J1=d(d(2, d(1, d(2, d(1, d(M, K1))))), I1), B=d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1), Z=d(d(2, d(1, d(2, N))), Y), B1=d(d(2, d(1, d(2, d(d(2, d(1, M)), G1)))), Y), L1=d(d(2, d(1, d(2, J1))), Y), D=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(1, E1)), d(D, d(d(3, d(3, d(1, N1))), N1))), O1=d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), G1)))), Y)))))), Y))))), P1), H1=d(d(2, d(1, Q1)), D1), Q1=d(d(2, d(I, d(d(2, d(1, d(2, D1))), N))), N), K=d(A1, N), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, D))))), Y))), M1)))), Y)), N), P1=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K1=d(D, R1), S1=d(D, d(A, Q)), T1=d(D, d(A, U1)), V1=d(D, d(A, W1)), F=d(D, d(A, X1)), U=d(D, d(A, Y1)), Z1=d(D, d(d(B, d(d(2, d(1, d(D, A2))), d(D, B2))), d(d(2, d(1, d(D, d(A, B2)))), d(D, d(A, A2))))), C2=d(D, U1), W=d(D, W1), D2=d(D, S), C=d(D, X1), E2=d(D, Y1), N1=d(Q1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), Y))), N))), d(3, d(A1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, G1)))), Y)))))), Y)))))), G1)))), Y))), N))))), R1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F2=d(A, G2), Q=d(A, H2), A2=d(A, d(d(B, d(d(2, d(1, d(D, I2))), D2)), d(R, d(D, d(A, I2))))), G2=d(d(B, O1), O1), H2=d(d(B, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L1)), K1))))), I1)))))), Y)))), G1)))), Y)))))), Y))))), P1)))), G1)))), Y)))))), Y))))), P1)), d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, d(G, d(d(2, d(1, d(2, d(X, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, J1)), K1))))), I1)))))), Y)))))), Y)))), G1)))), Y)))))), Y))))), P1)))), Y)))), G1)))), Y)))))), Y))))), P1)), J2=d(d(B, d(P, C)), d(d(2, d(1, F)), S1)), K2=d(d(B, d(P, d(D, L2))), d(d(2, d(1, d(D, d(A, L2)))), S1)), E=d(d(B, d(d(2, d(1, d(D, K2))), d(D, H2))), d(P, d(D, d(A, K2)))), B2=d(d(B, d(d(2, d(1, d(D, M2))), d(D, N2))), d(d(2, d(1, d(D, d(A, N2)))), d(D, d(A, M2)))), I2=d(d(B, d(d(2, d(1, d(D, O2))), W)), d(d(2, d(1, V1)), d(D, d(A, O2)))), M2=d(d(B, d(d(2, d(1, d(D, P2))), C2)), d(d(2, d(1, T1)), d(D, d(A, P2)))), O2=d(d(B, d(V, D2)), d(R, V1)), Q2=d(d(B, K), H1), U1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, M1)))))))), Y))), d(H, O))))), Y)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(X, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), F1)))), Y)))))), d(X, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), F1)))), Y))))), P2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, R2))))))), Y))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(V, R2))))), Y)))), Y)))))), Y)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), Y))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(V, N))))), Y)))), Y)))))), Y)), N)), W1=d(d(B, A), A), S=d(d(B, d(T1, d(d(B, d(d(2, d(1, d(D, S2))), E2)), d(T, d(D, d(A, S2)))))), d(T1, d(d(B, d(d(2, d(1, d(D, T2))), E2)), d(T, d(D, d(A, T2)))))), R2=d(T1, d(d(B, d(d(2, d(1, d(D, U2))), d(D, V2))), d(d(2, d(1, d(D, d(A, V2)))), d(D, d(A, U2))))), X1=d(Z1, d(1, G2)), L2=d(Z1, d(1, d(d(B, d(d(2, d(1, d(D, F2))), d(D, J2))), d(d(2, d(1, d(D, d(A, J2)))), d(D, d(A, F2)))))), S2=d(C2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T2=d(C2, d(1, R1)), W2=d(C2, d(1, d(A, Q2))), U2=d(C2, d(1, Q2)), N2=d(C2, d(1, P2)), Y1=d(C2, N), V2=d(C2, d(T1, d(d(B, d(d(2, d(1, E2)), d(D, W2))), d(d(2, d(1, d(D, d(A, W2)))), U))))]).
mm_proof(an3, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F))), d(G, d(H, d(d(I, d(d(2, d(1, J)), d(G, K))), d(d(2, d(1, d(G, d(H, K)))), L)))))-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, I))), Q=d(2, d(1, R)), S=d(2, d(1, G)), T=d(2, d(1, d(G, U))), V=d(2, d(1, d(G, d(H, W)))), X=d(2, d(1, Y)), Z=d(2, d(1, A1)), B1=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, D))))), d(1, C1)))), A=d(2, d(B, D1)), E1=d(3, d(A, F1)), G1=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, D1))))), D))), R=d(d(2, 1), 1), H1=d(M, 1), D=d(M, R), E=d(M, I1), F1=d(B, D), J1=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), E)))), D)), K1=d(d(2, d(1, d(2, d(1, d(Q, L1))))), J1), I=d(d(2, d(1, d(2, d(1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), C1=d(d(2, d(1, d(2, R))), D), D1=d(d(2, d(1, d(2, d(d(2, d(1, Q)), E)))), D), M1=d(d(2, d(1, d(2, K1))), D), G=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, G1)), d(G, d(d(3, d(3, d(1, O1))), O1))), P1=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), E)))), D)))))), D))))), F), I1=d(d(2, d(1, Q1)), F1), Q1=d(d(2, d(B, d(d(2, d(1, d(2, F1))), R))), R), O=d(A, R), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, G))))), D))), N1)))), D)), R), F=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L1=d(G, R1), S1=d(G, d(H, U)), T1=d(G, d(H, U1)), V1=d(G, d(H, W1)), L=d(G, d(H, X1)), Y=d(G, d(H, Y1)), Z1=d(G, d(d(I, d(d(2, d(1, d(G, A2))), d(G, B2))), d(d(2, d(1, d(G, d(H, B2)))), d(G, d(H, A2))))), C2=d(G, U1), A1=d(G, W1), D2=d(G, W), J=d(G, X1), E2=d(G, Y1), O1=d(Q1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), D))), R))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, E)))), D)))))), D)))))), E)))), D))), R))))), R1=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F2=d(H, G2), U=d(H, H2), A2=d(H, d(d(I, d(d(2, d(1, d(G, I2))), D2)), d(V, d(G, d(H, I2))))), G2=d(d(I, P1), P1), H2=d(d(I, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), L1))))), J1)))))), D)))), E)))), D)))))), D))))), F)))), E)))), D)))))), D))))), F)), d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(M, d(d(2, d(1, d(2, d(B1, d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K1)), L1))))), J1)))))), D)))))), D)))), E)))), D)))))), D))))), F)))), D)))), E)))), D)))))), D))))), F)), J2=d(d(I, d(T, J)), d(d(2, d(1, L)), S1)), K2=d(d(I, d(T, d(G, L2))), d(d(2, d(1, d(G, d(H, L2)))), S1)), K=d(d(I, d(d(2, d(1, d(G, K2))), d(G, H2))), d(T, d(G, d(H, K2)))), B2=d(d(I, d(d(2, d(1, d(G, M2))), d(G, N2))), d(d(2, d(1, d(G, d(H, N2)))), d(G, d(H, M2)))), I2=d(d(I, d(d(2, d(1, d(G, O2))), A1)), d(d(2, d(1, V1)), d(G, d(H, O2)))), M2=d(d(I, d(d(2, d(1, d(G, P2))), C2)), d(d(2, d(1, T1)), d(G, d(H, P2)))), O2=d(d(I, d(Z, D2)), d(V, V1)), Q2=d(d(I, O), I1), U1=d(d(I, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(N, d(2, d(1, N1)))))))), D))), d(N, S))))), D)), R)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, I)))), d(B1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H1)))), D)))))), d(B1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), H1)))), D))))), P2=d(d(I, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(B, d(S, R2))))))), D))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, d(Z, R2))))), D)))), D)))))), D)), R)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(B, d(S, R))))))), D))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, d(Z, R))))), D)))), D)))))), D)), R)), W1=d(d(I, H), H), W=d(d(I, d(T1, d(d(I, d(d(2, d(1, d(G, S2))), E2)), d(X, d(G, d(H, S2)))))), d(T1, d(d(I, d(d(2, d(1, d(G, T2))), E2)), d(X, d(G, d(H, T2)))))), R2=d(T1, d(d(I, d(d(2, d(1, d(G, U2))), d(G, V2))), d(d(2, d(1, d(G, d(H, V2)))), d(G, d(H, U2))))), X1=d(Z1, d(1, G2)), L2=d(Z1, d(1, d(d(I, d(d(2, d(1, d(G, F2))), d(G, J2))), d(d(2, d(1, d(G, d(H, J2)))), d(G, d(H, F2)))))), S2=d(C2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T2=d(C2, d(1, R1)), W2=d(C2, d(1, d(H, Q2))), U2=d(C2, d(1, Q2)), N2=d(C2, d(1, P2)), Y1=d(C2, R), V2=d(C2, d(T1, d(d(I, d(d(2, d(1, E2)), d(G, W2))), d(d(2, d(1, d(G, d(H, W2)))), Y))))]).
mm_proof(anabs1, d(A, d(d(B, d(d(C, d(d(2, d(1, d(B, D))), d(B, E))), d(d(2, d(1, d(B, d(A, E)))), d(B, d(A, D))))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, C))), N=d(2, d(1, L)), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), K=d(2, d(I, R)), S=d(3, d(K, T)), U=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, R))))), P))), L=d(d(2, 1), 1), V=d(G, 1), P=d(G, L), W=d(G, d(d(2, d(1, X)), T)), T=d(I, P), Y=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), W)))), P)), C=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), Q=d(d(2, d(1, d(2, L))), P), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), W)))), P), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, A1))))), Y)))), P), B=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, U)), C1), F=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), W)))), P)))))), P))))), D1), E1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), P)))))), P))))), D1), X=d(d(2, d(I, d(d(2, d(1, d(2, T))), L))), L), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(1, F)))))), P))), Z)))), P)), L), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, B))))), P))), B1)))), P)), L), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(B, G1), A1=d(B, I1), J1=d(B, K1), H1=d(X, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), P))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, W)))), P)))))), P)))))), W)))), P))), L))))), L1=d(F1, F), I1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(A, d(d(C, d(d(2, d(1, A1)), C1)), d(d(2, d(1, d(B, d(A, G1)))), d(B, d(A, I1))))), D=d(d(C, d(d(2, d(1, d(B, M1))), d(B, L1))), d(d(2, d(1, d(B, d(A, L1)))), d(B, d(A, M1)))), K1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(G, d(H, d(2, d(1, B1)))))))), P))), d(H, d(2, d(1, B))))))), P)), L)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), V)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), V)))), P))))), N1=d(J1, d(1, d(d(C, E1), E1))), O1=d(J1, F1), E=d(J1, d(d(B, d(A, K1)), d(d(C, d(d(2, d(1, d(B, N1))), d(B, O1))), d(d(2, d(1, d(B, d(A, O1)))), d(B, d(A, N1))))))]).
mm_proof(anabs5, d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), d(F, d(G, d(d(B, d(d(2, d(1, d(A, H))), d(A, I))), d(d(2, d(1, d(A, d(E, I)))), d(A, d(E, H)))))))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, B))), P=d(2, d(1, Q)), R=d(2, d(1, A)), S=d(2, d(1, d(A, d(E, T)))), U=d(2, d(1, V)), F=d(2, d(1, W)), X=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, Y))))), d(1, Z)))), A1=d(2, d(L, B1)), C1=d(3, d(A1, D1)), E1=d(3, d(A1, d(d(2, d(1, d(2, d(L, d(M, B1))))), Y))), Q=d(d(2, 1), 1), F1=d(J, 1), Y=d(J, Q), G1=d(J, H1), D1=d(L, Y), I1=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), G1)))), Y)), B=d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1), Z=d(d(2, d(1, d(2, Q))), Y), B1=d(d(2, d(1, d(2, d(d(2, d(1, P)), G1)))), Y), J1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(A, K1)))))), I1)))), Y), A=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, E1)), d(A, d(d(3, d(3, d(1, M1))), M1))), N1=d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), Y)))))), Y))))), O1), H1=d(d(2, d(1, P1)), D1), P1=d(d(2, d(L, d(d(2, d(1, d(2, D1))), Q))), Q), N=d(A1, Q), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, A))))), Y))), L1)))), Y)), Q), O1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(A, d(E, Q1)), R1=d(A, d(E, S1)), V=d(A, d(E, T1)), U1=d(A, Q1), W=d(A, S1), V1=d(A, T), W1=d(A, T1), M1=d(P1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), Y))), Q))), d(3, d(A1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(O, G1)))), Y)))))), Y)))))), G1)))), Y))), Q))))), K1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, d(d(B, d(d(2, d(1, d(A, X1))), V1)), d(S, d(A, d(E, X1))))), D=d(d(B, d(d(2, d(1, d(A, Y1))), d(A, Z1))), d(d(2, d(1, d(A, d(E, Z1)))), d(A, d(E, Y1)))), X1=d(d(B, d(d(2, d(1, d(A, A2))), W)), d(d(2, d(1, R1)), d(A, d(E, A2)))), Y1=d(d(B, d(d(2, d(1, d(A, B2))), U1)), d(d(2, d(1, G)), d(A, d(E, B2)))), A2=d(d(B, d(F, V1)), d(S, R1)), C2=d(d(B, N), H1), Q1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, d(K, d(2, d(1, L1)))))))), Y))), d(K, R))))), Y)), Q)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, B)))), d(X, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), F1)))), Y)))))), d(X, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), F1)))), Y))))), B2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, d(L, d(R, D2))))))), Y))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(F, D2))))), Y)))), Y)))))), Y)), Q)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, d(L, d(R, Q))))))), Y))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(F, Q))))), Y)))), Y)))))), Y)), Q)), S1=d(d(B, E), E), T=d(d(B, d(G, d(d(B, d(d(2, d(1, d(A, E2))), W1)), d(U, d(A, d(E, E2)))))), d(G, d(d(B, d(d(2, d(1, d(A, F2))), W1)), d(U, d(A, d(E, F2)))))), D2=d(G, d(d(B, d(d(2, d(1, d(A, G2))), d(A, H2))), d(d(2, d(1, d(A, d(E, H2)))), d(A, d(E, G2))))), E2=d(U1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F2=d(U1, d(1, K1)), I2=d(U1, d(1, d(E, C2))), H=d(U1, d(1, d(d(B, N1), N1))), G2=d(U1, d(1, C2)), Z1=d(U1, d(1, B2)), T1=d(U1, Q), I=d(U1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(J, d(1, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), G1)))), Y)))))), Y))))), O1))))))), Y))), J1)))), Y)), Q)), H2=d(U1, d(G, d(d(B, d(d(2, d(1, W1)), d(A, I2))), d(d(2, d(1, d(A, d(E, I2)))), V))))]).
mm_proof(anabs7, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, B))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), Z=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q)), B=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), X)))), Q), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, B1))))), Z)))), Q), C=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, V)), D1), G=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), X)))), Q)))))), Q))))), E1), F1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), Q)))))), Q))))), E1), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, F))))), Q))), A1)))), Q)), M), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, C))))), Q))), C1)))), Q)), M), H1=d(d(3, d(3, d(1, I1))), I1), E1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D1=d(C, H1), B1=d(C, J1), K1=d(C, L1), I1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), M1=d(G1, G), J1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(A, N1), O1=d(A, d(d(B, d(d(2, d(1, B1)), D1)), d(d(2, d(1, d(C, d(A, H1)))), d(C, d(A, J1))))), N1=d(d(B, F1), F1), P1=d(d(B, d(d(2, d(1, d(C, O1))), d(C, M1))), d(d(2, d(1, d(C, d(A, M1)))), d(C, d(A, O1)))), L1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, C1)))))))), Q))), d(I, d(2, d(1, C))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), W)))), Q))))), E=d(d(C, d(d(B, d(d(2, d(1, d(C, P1))), d(C, Q1))), d(d(2, d(1, d(C, d(A, Q1)))), d(C, d(A, P1))))), d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, F), B1))))), Z)))), Q)))), X)))), Q)))))), Q))))), E1)), R1=d(K1, d(1, N1)), S1=d(K1, G1), Q1=d(K1, d(d(C, d(A, L1)), d(d(B, d(d(2, d(1, d(C, R1))), d(C, S1))), d(d(2, d(1, d(C, d(A, S1)))), d(C, d(A, R1))))))]).
mm_proof(anabsan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(J, d(d(J, d(d(K, d(d(2, d(1, d(J, L))), d(J, M))), d(d(2, d(1, d(J, d(N, M)))), d(J, d(N, L))))), O)))))))), H))))), H))))), P))))), H))))))), H)))))), Q)-[I=d(2, d(1, 1)), R=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, O))))), S=d(2, d(1, d(2, K))), T=d(2, d(1, O)), U=d(2, d(R, d(d(2, d(1, d(2, d(1, d(R, H))))), d(1, V)))), C=d(2, d(D, W)), X=d(3, d(C, Y)), Z=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, W))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), O=d(d(2, 1), 1), A1=d(I, 1), H=d(I, O), P=d(I, d(d(2, d(1, B1)), Y)), Y=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), P)))), H)), K=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G), V=d(d(2, d(1, d(2, O))), H), W=d(d(2, d(1, d(2, d(d(2, d(1, T)), P)))), H), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, F))))), G)))), H), J=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, Z)), E1), F1=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), P)))), H)))))), H))))), Q), G1=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), P)))), H)))))), H))))), Q), B1=d(d(2, d(D, d(d(2, d(1, d(2, Y))), O))), O), H1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, d(1, F1)))))), H))), C1)))), H)), O), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, J))))), H))), D1)))), H)), O), I1=d(d(3, d(3, d(1, J1))), J1), Q=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(J, I1), F=d(J, K1), L1=d(J, M1), J1=d(B1, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), H))), O))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(S, P)))), H)))))), H)))))), P)))), H))), O))))), N1=d(H1, F1), K1=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(N, d(d(K, d(d(2, d(1, F)), E1)), d(d(2, d(1, d(J, d(N, I1)))), d(J, d(N, K1))))), L=d(d(K, d(d(2, d(1, d(J, O1))), d(J, N1))), d(d(2, d(1, d(J, d(N, N1)))), d(J, d(N, O1)))), M1=d(d(K, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, d(R, d(2, d(1, D1)))))))), H))), d(R, d(2, d(1, J))))))), H)), O)), d(d(2, d(R, d(d(2, d(1, d(2, d(1, K)))), d(U, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), A1)))), H)))))), d(U, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), A1)))), H))))), P1=d(L1, d(1, d(d(K, G1), G1))), Q1=d(L1, H1), M=d(L1, d(d(J, d(N, M1)), d(d(K, d(d(2, d(1, d(J, P1))), d(J, Q1))), d(d(2, d(1, d(J, d(N, Q1)))), d(J, d(N, P1))))))]).
mm_proof(anabss5, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), I)))))), J))))), K)))), I)))))), J))))))), K))))), L))))), K))))))), K)))))), M))))), L))))), K))))))), K)))))), M)))), I)))))), J))))), K))))), d(H, d(N, d(d(N, d(d(O, d(d(2, d(1, d(N, P))), d(N, Q))), d(d(2, d(1, d(N, d(R, Q)))), d(N, d(R, P))))), S)))))))), K))))), K))))), L))))), K))))))), K)))))), M)-[H=d(2, d(1, 1)), T=d(2, d(1, 2)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(W, S))))), X=d(2, d(1, d(2, O))), Y=d(2, d(1, S)), G=d(2, d(T, d(d(2, d(1, d(2, d(1, d(T, K))))), d(1, Z)))), W=d(2, d(U, A1)), B1=d(3, d(W, C1)), D1=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, A1))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), U), F=d(d(d(2, d(1, 2)), 1), V), D=d(d(d(2, d(1, 2)), 1), W), S=d(d(2, 1), 1), E1=d(H, 1), K=d(H, S), L=d(H, d(d(2, d(1, F1)), C1)), C1=d(U, K), J=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), L)))), K)), O=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J), Z=d(d(2, d(1, d(2, S))), K), A1=d(d(2, d(1, d(2, d(d(2, d(1, Y)), L)))), K), G1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, I))))), J)))), K), N=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, D1)), I1), J1=d(d(2, d(1, d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), L)))), K)))))), K))))), M), K1=d(d(2, d(1, d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), L)))), K)))))), K))))), M), F1=d(d(2, d(U, d(d(2, d(1, d(2, C1))), S))), S), L1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(H, d(1, J1)))))), K))), G1)))), K)), S), R=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(H, N))))), K))), H1)))), K)), S), M1=d(d(3, d(3, d(1, N1))), N1), M=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(N, M1), I=d(N, O1), P1=d(N, Q1), N1=d(F1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), S))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(X, L)))), K)))))), K)))))), L)))), K))), S))))), R1=d(L1, J1), O1=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(R, d(d(O, d(d(2, d(1, I)), I1)), d(d(2, d(1, d(N, d(R, M1)))), d(N, d(R, O1))))), P=d(d(O, d(d(2, d(1, d(N, S1))), d(N, R1))), d(d(2, d(1, d(N, d(R, R1)))), d(N, d(R, S1)))), Q1=d(d(O, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(H, d(T, d(2, d(1, H1)))))))), K))), d(T, d(2, d(1, N))))))), K)), S)), d(d(2, d(T, d(d(2, d(1, d(2, d(1, O)))), d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), E1)))), K)))))), d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), E1)))), K))))), T1=d(P1, d(1, d(d(O, K1), K1))), U1=d(P1, L1), Q=d(P1, d(d(N, d(R, Q1)), d(d(O, d(d(2, d(1, d(N, T1))), d(N, U1))), d(d(2, d(1, d(N, d(R, U1)))), d(N, d(R, T1))))))]).
mm_proof(anabsi5, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), 2))), B))), d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(2, d(1, d(C, E))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), F)))), B)))))), B))))), d(d(d(2, d(1, G)), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), F)))), B))), G=d(3, d(C, I)), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), B=d(H, E), F=d(H, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, I))), E))), E))), I)), I=d(D, B)]).
mm_proof(anabsi6, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), H)))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), H))), d(d(2, d(1, L)), d(I, d(d(3, d(3, d(1, M))), M))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O))))))), H))))))))), H))))))), H))))), P))))), H))))))), H)))))), Q))))), H))))), H))), d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), P)))), H)))))), H))))), Q))-[K=d(2, d(1, 1)), R=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), C=d(2, d(D, S)), T=d(3, d(C, U)), L=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, S))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), K), F=d(d(d(2, d(1, 2)), 1), d(2, d(R, d(d(2, d(1, d(2, d(1, d(R, H))))), d(1, V))))), N=d(d(2, 1), 1), H=d(K, N), P=d(K, d(d(2, d(1, W)), U)), U=d(D, H), O=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), P)))), H)), V=d(d(2, d(1, d(2, N))), H), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), P)))), H), I=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(D, d(d(2, d(1, d(2, U))), N))), N), Q=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(W, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), H))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(J, P)))), H)))))), H)))))), P)))), H))), N)))))]).
mm_proof(anabsi7, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I)))), J)))))), K))))))), I))))))))), I))))))), I))))), L))))), I))))))), I)))))), M))))), I))))), I))), d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), L)))), I)))))), I))))), M))))), J)))))), K))))), I))))), L))))), I))))))), I)))))), M)-[Q=d(2, d(1, 1)), R=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), N=d(2, d(O, V)), W=d(3, d(N, X)), U=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, V))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), Q), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), G=d(d(d(2, d(1, 2)), 1), d(2, d(R, d(d(2, d(1, d(2, d(1, d(R, I))))), d(1, Y))))), D=d(d(d(2, d(1, 2)), 1), N), S=d(d(2, 1), 1), I=d(Q, S), L=d(Q, d(d(2, d(1, Z)), X)), X=d(O, I), K=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), L)))), I)), Y=d(d(2, d(1, d(2, S))), I), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), L)))), I), A1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(O, d(d(2, d(1, d(2, X))), S))), S), M=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(Q, A1))))), I))), d(d(2, d(1, U)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), I)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), I))), S))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(T, L)))), I)))))), I)))))), L)))), I))), S)))))]).
mm_proof(anabsi8, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), F))), d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H))))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), F))), d(d(2, d(1, L)), d(I, d(d(3, d(3, d(1, M))), M))))))), F)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O))))), F))))), G))))), F))))))), F)))))), H)-[K=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), C=d(2, d(D, P)), Q=d(3, d(C, R)), L=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), F=d(K, N), G=d(K, d(d(2, d(1, S)), R)), R=d(D, F), O=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), F)))), G)))), F)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), G)))), F), I=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(D, d(d(2, d(1, d(2, R))), N))), N), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(S, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(J, G)))), F)))))), F)))))), G)))), F))), N)))))]).
mm_proof(anandi, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, O)), P=d(2, d(1, B)), Q=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, T))), U=d(2, d(1, d(B, d(E, V)))), W=d(2, d(1, X)), Y=d(2, d(1, Z)), A1=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, B1))))), d(1, C1)))), D1=d(2, d(J, E1)), F1=d(3, d(D1, G1)), H1=d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, E1))))), B1))), O=d(d(2, 1), 1), I1=d(H, 1), B1=d(H, O), J1=d(H, K1), G1=d(J, B1), L1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), J1)))), B1)), M1=d(d(2, d(1, d(2, d(1, d(N, N1))))), L1), A=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1), C1=d(d(2, d(1, d(2, O))), B1), E1=d(d(2, d(1, d(2, d(d(2, d(1, N)), J1)))), B1), O1=d(d(2, d(1, d(2, M1))), B1), B=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(1, H1)), Q1), R1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), J1)))), B1)))))), B1))))), S1), T1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), J1)))), B1)))))), B1))))), S1), K1=d(d(2, d(1, U1)), G1), U1=d(d(2, d(J, d(d(2, d(1, d(2, G1))), O))), O), L=d(D1, O), V1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(1, R1)))))), B1))), O1)))), B1)), O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, B))))), B1))), P1)))), B1)), O), W1=d(d(3, d(3, d(1, X1))), X1), S1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(B, W1), N1=d(B, Y1), Z1=d(B, d(E, R)), A2=d(B, d(E, T)), B2=d(B, d(E, C2)), D2=d(B, d(E, E2)), X=d(B, d(E, F2)), G2=d(B, d(d(A, d(d(2, d(1, d(B, H2))), d(B, I2))), d(d(2, d(1, d(B, d(E, I2)))), d(B, d(E, H2))))), J2=d(B, C2), Z=d(B, E2), K2=d(B, V), L2=d(B, F2), X1=d(U1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), B1))), O))), d(3, d(D1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, J1)))), B1)))))), B1)))))), J1)))), B1))), O))))), M2=d(V1, R1), Y1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(E, G), T=d(E, N2), O2=d(E, d(d(A, d(d(2, d(1, N1)), Q1)), d(d(2, d(1, d(B, d(E, W1)))), d(B, d(E, Y1))))), D=d(E, d(d(A, d(d(2, d(1, d(B, P2))), d(B, G))), d(Q, d(B, d(E, P2))))), H2=d(E, d(d(A, d(d(2, d(1, d(B, Q2))), K2)), d(U, d(B, d(E, Q2))))), G=d(d(A, T1), T1), N2=d(d(A, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O1)), N1))))), L1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), J1)))), B1)))))), B1))))), S1)), d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), N1))))), L1)))))), B1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), B1)))), J1)))), B1)))))), B1))))), S1)), P2=d(d(A, d(Q, d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), Z1)), S2=d(d(A, d(S, d(B, T2))), d(d(2, d(1, d(B, d(E, T2)))), A2)), U2=d(d(A, d(S, d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), A2)), W2=d(d(A, d(d(2, d(1, d(B, O2))), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), d(B, d(E, O2)))), C=d(d(A, d(d(2, d(1, d(B, U2))), d(B, N2))), d(S, d(B, d(E, U2)))), I2=d(d(A, d(d(2, d(1, d(B, X2))), d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), d(B, d(E, X2)))), Q2=d(d(A, d(d(2, d(1, d(B, Z2))), Z)), d(d(2, d(1, D2)), d(B, d(E, Z2)))), X2=d(d(A, d(d(2, d(1, d(B, A3))), J2)), d(d(2, d(1, B2)), d(B, d(E, A3)))), Z2=d(d(A, d(Y, K2)), d(U, D2)), B3=d(d(A, L), K1), C2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, P1)))))))), B1))), d(I, P))))), B1)), O)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(A1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), I1)))), B1)))))), d(A1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P1))), I1)))), B1))))), A3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, C3))))))), B1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Y, C3))))), B1)))), B1)))))), B1)), O)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, O))))))), B1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Y, O))))), B1)))), B1)))))), B1)), O)), E2=d(d(A, E), E), V=d(d(A, d(B2, d(d(A, d(d(2, d(1, d(B, D3))), L2)), d(W, d(B, d(E, D3)))))), d(B2, d(d(A, d(d(2, d(1, d(B, E3))), L2)), d(W, d(B, d(E, E3)))))), C3=d(B2, d(d(A, d(d(2, d(1, d(B, F3))), d(B, G3))), d(d(2, d(1, d(B, d(E, G3)))), d(B, d(E, F3))))), R2=d(G2, d(1, d(E, d(d(B, d(d(A, d(d(2, d(1, d(B, W2))), d(B, H3))), d(d(2, d(1, d(B, d(E, H3)))), d(B, d(E, W2))))), O)))), T2=d(G2, F), V2=d(G2, d(1, d(d(A, d(Q, d(B, S2))), d(d(2, d(1, d(B, d(E, S2)))), Z1)))), D3=d(J2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E3=d(J2, d(1, Y1)), I3=d(J2, d(1, d(E, B3))), J3=d(J2, F), F3=d(J2, d(1, B3)), Y2=d(J2, d(1, A3)), F2=d(J2, O), K3=d(J2, V1), H3=d(J2, d(B2, d(d(A, d(d(2, d(1, d(B, J3))), d(B, K3))), d(d(2, d(1, d(B, d(E, K3)))), d(B, d(E, J3)))))), G3=d(J2, d(B2, d(d(A, d(d(2, d(1, L2)), d(B, I3))), d(d(2, d(1, d(B, d(E, I3)))), X))))]).
mm_proof(anandir, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, O)), P=d(2, d(1, B)), Q=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, d(E, T)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Z))))), d(1, A1)))), B1=d(2, d(J, C1)), D1=d(3, d(B1, E1)), F1=d(3, d(B1, d(d(2, d(1, d(2, d(J, d(K, C1))))), Z))), O=d(d(2, 1), 1), G1=d(H, 1), Z=d(H, O), H1=d(H, I1), E1=d(J, Z), J1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), H1)))), Z)), K1=d(d(2, d(1, d(2, d(1, d(N, L1))))), J1), A=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), A1=d(d(2, d(1, d(2, O))), Z), C1=d(d(2, d(1, d(2, d(d(2, d(1, N)), H1)))), Z), M1=d(d(2, d(1, d(2, K1))), Z), B=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, F1)), O1), P1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), H1)))), Z)))))), Z))))), Q1), R1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), H1)))), Z)))))), Z))))), Q1), I1=d(d(2, d(1, S1)), E1), S1=d(d(2, d(J, d(d(2, d(1, d(2, E1))), O))), O), L=d(B1, O), T1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(1, P1)))))), Z))), M1)))), Z)), O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, B))))), Z))), N1)))), Z)), O), U1=d(d(3, d(3, d(1, V1))), V1), Q1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(B, U1), L1=d(B, W1), X1=d(B, d(E, R)), Y1=d(B, d(E, Z1)), A2=d(B, d(E, B2)), V=d(B, d(E, C2)), D2=d(B, d(d(A, d(d(2, d(1, d(B, E2))), d(B, F2))), d(d(2, d(1, d(B, d(E, F2)))), d(B, d(E, E2))))), G2=d(B, Z1), X=d(B, B2), H2=d(B, T), I2=d(B, C2), V1=d(S1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Z))), O))), d(3, d(B1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, H1)))), Z)))))), Z)))))), H1)))), Z))), O))))), J2=d(T1, P1), W1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K2=d(E, G), R=d(E, L2), M2=d(E, d(d(A, d(d(2, d(1, L1)), O1)), d(d(2, d(1, d(B, d(E, U1)))), d(B, d(E, W1))))), E2=d(E, d(d(A, d(d(2, d(1, d(B, N2))), H2)), d(S, d(B, d(E, N2))))), D=d(E, d(D2, d(1, d(E, d(d(B, d(d(A, d(d(2, d(1, d(B, O2))), d(B, P2))), d(d(2, d(1, d(B, d(E, P2)))), d(B, d(E, O2))))), O))))), G=d(d(A, R1), R1), L2=d(d(A, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), L1))))), J1)))))), Z)))), H1)))), Z)))))), Z))))), Q1)))), H1)))), Z)))))), Z))))), Q1)), d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, d(H, d(d(2, d(1, d(2, d(Y, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K1)), L1))))), J1)))))), Z)))))), Z)))), H1)))), Z)))))), Z))))), Q1)))), Z)))), H1)))), Z)))))), Z))))), Q1)), Q2=d(d(A, d(Q, d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), X1)), S2=d(d(A, d(Q, d(B, T2))), d(d(2, d(1, d(B, d(E, T2)))), X1)), O2=d(d(A, d(d(2, d(1, d(B, M2))), d(B, J2))), d(d(2, d(1, d(B, d(E, J2)))), d(B, d(E, M2)))), C=d(d(A, d(d(2, d(1, d(B, S2))), d(B, L2))), d(Q, d(B, d(E, S2)))), F2=d(d(A, d(d(2, d(1, d(B, U2))), d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), d(B, d(E, U2)))), N2=d(d(A, d(d(2, d(1, d(B, W2))), X)), d(d(2, d(1, A2)), d(B, d(E, W2)))), U2=d(d(A, d(d(2, d(1, d(B, X2))), G2)), d(d(2, d(1, Y1)), d(B, d(E, X2)))), W2=d(d(A, d(W, H2)), d(S, A2)), Y2=d(d(A, L), I1), Z1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, N1)))))))), Z))), d(I, P))))), Z)), O)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(Y, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), G1)))), Z)))))), d(Y, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), G1)))), Z))))), X2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, Z2))))))), Z))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(W, Z2))))), Z)))), Z)))))), Z)), O)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, O))))))), Z))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(W, O))))), Z)))), Z)))))), Z)), O)), B2=d(d(A, E), E), T=d(d(A, d(Y1, d(d(A, d(d(2, d(1, d(B, A3))), I2)), d(U, d(B, d(E, A3)))))), d(Y1, d(d(A, d(d(2, d(1, d(B, B3))), I2)), d(U, d(B, d(E, B3)))))), Z2=d(Y1, d(d(A, d(d(2, d(1, d(B, C3))), d(B, D3))), d(d(2, d(1, d(B, d(E, D3)))), d(B, d(E, C3))))), R2=d(D2, F), T2=d(D2, d(1, d(d(A, d(d(2, d(1, d(B, K2))), d(B, Q2))), d(d(2, d(1, d(B, d(E, Q2)))), d(B, d(E, K2)))))), A3=d(G2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B3=d(G2, d(1, W1)), E3=d(G2, d(1, d(E, Y2))), F3=d(G2, F), C3=d(G2, d(1, Y2)), V2=d(G2, d(1, X2)), C2=d(G2, O), G3=d(G2, T1), P2=d(G2, d(Y1, d(d(A, d(d(2, d(1, d(B, F3))), d(B, G3))), d(d(2, d(1, d(B, d(E, G3)))), d(B, d(E, F3)))))), D3=d(G2, d(Y1, d(d(A, d(d(2, d(1, I2)), d(B, E3))), d(d(2, d(1, d(B, d(E, E3)))), V))))]).
mm_proof(sylanl1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), J)))))), K))))), L)))))), d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, J))))), K)))), L))))), M))))), L))))), L))))), O))))), L))))))), L)))))), P)))), J)))))), K))))), d(M, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), J))))), K)))), L)))), O)))), L)))))), L))))), P))))))), L)))), T))), U)))))))), L)))))), L)))))), O)))))), L)))))))), L))))))), P)-[M=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), N=d(2, d(1, U)), Q=d(2, d(R, X)), Y=d(3, d(Q, Z)), W=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, X))))), L))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), S), E=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), U=d(d(2, 1), 1), L=d(M, U), O=d(M, d(d(2, d(1, A1)), Z)), Z=d(R, L), K=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), L)))), O)))), L)), X=d(d(2, d(1, d(2, d(d(2, d(1, N)), O)))), L), B1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), O)))), L)))))), L))))), P), A1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), U))), U), P=d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(B1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(M, B1))))), L))), d(d(2, d(1, W)), d(B1, d(d(3, d(3, d(1, C1))), C1))))))), L)), U), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(A1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), L))), U))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, O)))), L)))))), L)))))), O)))), L))), U)))))]).
mm_proof(sylanl2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), J)))))), K))))), L)))))), d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(N, J))))), K))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, M)))), O))))), L))))))), L)))))), P)))), J)))))), K))))), L))))), O))))), L))))))), L)))))), P)))), J)))))), K)))))), O))))), L))))))), L)))))), P)))))))), L)))))), L)))))), O)))))), L)))))))), L))))))), P)-[M=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(S, T))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), N=d(2, d(1, T)), S=d(2, d(Q, W)), X=d(3, d(S, Y)), V=d(3, d(S, d(d(2, d(1, d(2, d(Q, d(R, W))))), L))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), R), E=d(d(d(2, d(1, 2)), 1), S), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), T=d(d(2, 1), 1), L=d(M, T), O=d(M, d(d(2, d(1, Z)), Y)), Y=d(Q, L), K=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), L)))), O)))), L)), W=d(d(2, d(1, d(2, d(d(2, d(1, N)), O)))), L), A1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(Q, d(d(2, d(1, d(2, Y))), T))), T), P=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(M, A1))))), L))), d(d(2, d(1, V)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), L)), T), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), L))), T))), d(3, d(S, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(U, O)))), L)))))), L)))))), O)))), L))), T)))))]).
mm_proof(sylanr1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, F))))), G)))), N))))), O))))), N))))), N))))), P))))), N))))))), N)))))), Q)))), F)))))), G))))), d(O, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, U)), F))))), G)))), N)))), P)))), N)))))), N))))), Q))))))), N)))), U))), V)))))), P))))), N))))))), N)))))), Q)))), F)))))), G))))), N))))), P))))), N))))))), N)))))), Q)))))))), N))))), U)))), V)-[O=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, V))))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), M=d(2, d(1, V)), R=d(2, d(S, Y)), Z=d(3, d(R, A1)), X=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, Y))))), N))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), O), K=d(d(d(2, d(1, 2)), 1), S), L=d(d(d(2, d(1, 2)), 1), T), J=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), V=d(d(2, 1), 1), N=d(O, V), P=d(O, d(d(2, d(1, B1)), A1)), A1=d(S, N), G=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), N)))), P)))), N)), Y=d(d(2, d(1, d(2, d(d(2, d(1, M)), P)))), N), C1=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), P)))), N)))))), N))))), Q), B1=d(d(2, d(S, d(d(2, d(1, d(2, A1))), V))), V), Q=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(C1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(O, C1))))), N))), d(d(2, d(1, X)), d(C1, d(d(3, d(3, d(1, D1))), D1))))))), N)), V), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(B1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), N))), V))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(W, P)))), N)))))), N)))))), P)))), N))), V)))))]).
mm_proof(sylanr2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, F))))), G)))), Q)))), Q)))), Q)))), Q)))), R)))), Q)))))), Q))))), S))), F))))), G))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, T)))), R))))), Q))))))), Q)))))), S)))), F)))))), G))))), Q))))), R))))), Q))))))), Q)))))), S))))))), Q)))), U))), V)))))), R))))), Q))))))), Q)))))), S)))), F)))))), G))))), Q))))), R))))), Q))))))), Q)))))), S)))))))), Q))))), U)))), V)-[T=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, V))))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), P=d(2, d(1, V)), M=d(2, d(N, Y)), Z=d(3, d(M, A1)), X=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, Y))))), Q))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), T), K=d(d(d(2, d(1, 2)), 1), N), L=d(d(d(2, d(1, 2)), 1), O), J=d(d(d(2, d(1, 2)), 1), M), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), V=d(d(2, 1), 1), Q=d(T, V), R=d(T, d(d(2, d(1, B1)), A1)), A1=d(N, Q), G=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), Q)))), R)))), Q)), Y=d(d(2, d(1, d(2, d(d(2, d(1, P)), R)))), Q), C1=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), R)))), Q)))))), Q))))), S), B1=d(d(2, d(N, d(d(2, d(1, d(2, A1))), V))), V), S=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(C1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(T, C1))))), Q))), d(d(2, d(1, X)), d(C1, d(d(3, d(3, d(1, D1))), D1))))))), Q)), V), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(B1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), Q))), V))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(W, R)))), Q)))))), Q)))))), R)))), Q))), V)))))]).
mm_proof(syl6an, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, 2)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(B, D))))), F))), d(d(2, d(1, G)), d(D, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J))))))))-[B=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(K, N)), O=d(3, d(M, P)), G=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), F))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), F=d(B, I), Q=d(B, d(d(2, d(1, R)), P)), P=d(K, F), J=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), Q)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), F), D=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), I))), I), H=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(E, Q)))), F)))))), F)))))), Q)))), F))), I)))))]).
mm_proof(syl2an2r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, 1)), L)))))), M))))), N)))))), O)))))), N)))))), N)))))), P)))))), N)))))))), N))))))), Q))))), L))))))), M))))))), O))))))), N)))))), d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), P)))), N)))))), N))))), Q)))))), R)-[O=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, R))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), G=d(2, d(H, U)), V=d(3, d(G, W)), T=d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, U))))), N))), K=d(d(d(2, d(1, 2)), 1), 1), J=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), K), E=d(d(d(2, d(1, 2)), 1), J), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), R=d(d(2, 1), 1), N=d(O, R), P=d(O, d(d(2, d(1, X)), W)), W=d(H, N), M=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), N)))), P)))), N)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, R)))), P)))), N), Y=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(H, d(d(2, d(1, d(2, W))), R))), R), Q=d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(Y, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(O, Y))))), N))), d(d(2, d(1, T)), d(Y, d(d(3, d(3, d(1, Z))), Z))))))), N)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(X, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), N))), R))), d(3, d(G, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(S, P)))), N)))))), N)))))), P)))), N))), R)))))]).
mm_proof(syl2an2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), H)))))), I)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, H)))), N))))), I))))))), I)))))), O)))), F)))))), G))))), I))))), N))))), I))))))), I)))))), O)))))), P)-[H=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(S, P))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), S=d(2, d(Q, V)), W=d(3, d(S, X)), U=d(3, d(S, d(d(2, d(1, d(2, d(Q, d(R, V))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), Q), M=d(d(d(2, d(1, 2)), 1), R), K=d(d(d(2, d(1, 2)), 1), S), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), P=d(d(2, 1), 1), I=d(H, P), N=d(H, d(d(2, d(1, Y)), X)), X=d(Q, I), G=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), I)))), N)))), I)), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), N)))), I), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(Q, d(d(2, d(1, d(2, X))), P))), P), O=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(H, Z))))), I))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), I)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), I))), P))), d(3, d(S, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(T, N)))), I)))))), I)))))), N)))), I))), P)))))]).
mm_proof(mpdan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), H)))))), I))))), L)))), L)-[H=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), P=d(2, d(N, Q)), R=d(3, d(P, S)), J=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), T=d(H, d(d(2, d(1, U)), S)), S=d(N, I), M=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), T)))), I)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), T)))), I), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), I))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(G, T)))), I)))))), I)))))), T)))), I))), L)))))]).
mm_proof(mpancom, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J))))), F))))), F))))))), I)-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(K, N)), O=d(3, d(M, P)), G=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), F=d(E, I), Q=d(E, d(d(2, d(1, R)), P)), P=d(K, F), J=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), Q)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), F), C=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), I))), I), H=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(D, Q)))), F)))))), F)))))), Q)))), F))), I)))))]).
mm_proof(mpidan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), O), d(d(d(d(2, d(1, 2)), 1), P), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, H)))), Q))))), I))))))), I)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), I))))), L)))), L)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, R)), S=d(3, d(N, T)), J=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, R))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), Q=d(H, d(d(2, d(1, U)), T)), T=d(O, I), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), Q)))), I)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Q)))), I), F=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(O, d(d(2, d(1, d(2, T))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), I))), L))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(G, Q)))), I)))))), I)))))), Q)))), I))), L)))))]).
mm_proof(mpan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J))))), F))))), F))))), 1)))), I)-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(K, N)), O=d(3, d(M, P)), G=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), F=d(E, I), Q=d(E, d(d(2, d(1, R)), P)), P=d(K, F), J=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), Q)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), F), C=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), I))), I), H=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(D, Q)))), F)))))), F)))))), Q)))), F))), I)))))]).
mm_proof(mpan2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))))), d(d(d(d(2, d(1, 2)), 1), H), 1))))))), I))))), L)))), L)-[H=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), P=d(2, d(N, Q)), R=d(3, d(P, S)), J=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), I))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), L=d(d(2, 1), 1), I=d(H, L), T=d(H, d(d(2, d(1, U)), S)), S=d(N, I), M=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), T)))), I)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), T)))), I), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), I))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(G, T)))), I)))))), I)))))), T)))), I))), L)))))]).
mm_proof(mp2an, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, 1)), d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, D))))), G))), d(d(2, d(1, H)), d(D, d(d(3, d(3, d(1, I))), I))))))), G)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K))))), G))))), G))))), 1)))), J))-[F=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), N=d(2, d(L, O)), P=d(3, d(N, Q)), H=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, O))))), G))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), J=d(d(2, 1), 1), G=d(F, J), R=d(F, d(d(2, d(1, S)), Q)), Q=d(L, G), K=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), R)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), R)))), G), D=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(L, d(d(2, d(1, d(2, Q))), J))), J), I=d(S, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), G))), J))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(E, R)))), G)))))), G)))))), R)))), G))), J)))))]).
mm_proof(mp4an, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G))))), H))))), H)))))), d(d(d(d(2, d(1, 2)), 1), E), I)))))), J)))))), I)-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), Q=d(2, d(1, J)), N=d(2, d(L, R)), S=d(3, d(N, T)), P=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, R))))), H))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1))), C=d(d(d(2, d(1, 2)), 1), A), J=d(d(2, 1), 1), H=d(K, J), U=d(K, d(d(2, d(1, V)), T)), T=d(L, H), G=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), H)))), U)))), H)), I=d(d(2, d(1, d(2, d(1, d(Q, F))))), G), R=d(d(2, d(1, d(2, d(d(2, d(1, Q)), U)))), H), W=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(L, d(d(2, d(1, d(2, T))), J))), J), F=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, W))))), H))), d(d(2, d(1, P)), d(W, d(d(3, d(3, d(1, X))), X))))))), H)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), H))), J))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(O, U)))), H)))))), H)))))), U)))), H))), J)))))]).
mm_proof(mpan2d, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(B, d(d(2, d(1, d(2, d(1, d(B, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, 2))), D)))), d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(F, G))))), D))), d(d(2, d(1, I)), d(G, d(d(3, d(3, d(1, J))), J))))))), D)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L))))))), D))))), F)-[F=d(2, d(1, 1)), B=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, K))))), H=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), O=d(2, d(M, P)), Q=d(3, d(O, R)), I=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, P))))), D))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), D=d(F, K), S=d(F, d(d(2, d(1, T)), R)), R=d(M, D), L=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), S)))), D)), E=d(d(2, d(1, d(2, K))), D), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), S)))), D), G=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(M, d(d(2, d(1, d(2, R))), K))), K), J=d(T, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), D))), K))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(H, S)))), D)))))), D)))))), S)))), D))), K)))))]).
mm_proof(mpand, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, 2))), I)))), J)))))), K))))))), I))))))))), I))))))), I))))), L))))), I))))))), I)))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I))))), I)))), J)))))), K))))))), I))))), N)-[N=d(2, d(1, 1)), B=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(G, R)), S=d(3, d(F, T)), Q=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, R))))), I))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), d(2, d(B, d(d(2, d(1, d(2, d(1, d(B, I))))), d(1, U))))), O=d(d(2, 1), 1), I=d(N, O), L=d(N, d(d(2, d(1, V)), T)), T=d(G, I), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), L)))), I)), U=d(d(2, d(1, d(2, O))), I), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), L)))), I), M=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(G, d(d(2, d(1, d(2, T))), O))), O), J=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(N, M))))), I))), d(d(2, d(1, Q)), d(M, d(d(3, d(3, d(1, W))), W))))))), I)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), I))), O))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(P, L)))), I)))))), I)))))), L)))), I))), O)))))]).
mm_proof(mpani, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, 2))), I)))), J)))))), K))))))), I))))))))), I))))))), I))))), L))))), I))))))), I)))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I))))), I)))), J)))))), K))))))), I))))), d(E, 1))-[N=d(2, d(1, 1)), B=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(G, R)), S=d(3, d(F, T)), Q=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, R))))), I))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), d(2, d(B, d(d(2, d(1, d(2, d(1, d(B, I))))), d(1, U))))), O=d(d(2, 1), 1), I=d(N, O), L=d(N, d(d(2, d(1, V)), T)), T=d(G, I), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), L)))), I)), U=d(d(2, d(1, d(2, O))), I), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), L)))), I), M=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(G, d(d(2, d(1, d(2, T))), O))), O), J=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(N, M))))), I))), d(d(2, d(1, Q)), d(M, d(d(3, d(3, d(1, W))), W))))))), I)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), I))), O))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(P, L)))), I)))))), I)))))), L)))), I))), O)))))]).
mm_proof(mpan2i, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(B, d(d(2, d(1, d(2, d(1, d(B, D))))), d(1, E))))), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, 2))), D)))), d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(I, G))))), D))), d(d(2, d(1, J)), d(G, d(d(3, d(3, d(1, K))), K))))))), D)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M))))))), D))))), d(F, 1))-[I=d(2, d(1, 1)), B=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), H=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), P=d(2, d(N, Q)), R=d(3, d(P, S)), J=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), D))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), I), L=d(d(2, 1), 1), D=d(I, L), T=d(I, d(d(2, d(1, U)), S)), S=d(N, D), M=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), T)))), D)), E=d(d(2, d(1, d(2, L))), D), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), T)))), D), G=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(U, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), D))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(H, T)))), D)))))), D)))))), T)))), D))), L)))))]).
mm_proof(mp2ani, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, 2))), I)))), J)))))), K))))))), I))))))))), I))))))), I))))), L))))), I))))))), I)))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I))))), I)))), J)))))), K))))))), I))))), d(E, 1)))))), 1)-[N=d(2, d(1, 1)), B=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(G, R)), S=d(3, d(F, T)), Q=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, R))))), I))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), d(2, d(B, d(d(2, d(1, d(2, d(1, d(B, I))))), d(1, U))))), O=d(d(2, 1), 1), I=d(N, O), L=d(N, d(d(2, d(1, V)), T)), T=d(G, I), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), L)))), I)), U=d(d(2, d(1, d(2, O))), I), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), L)))), I), M=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(G, d(d(2, d(1, d(2, T))), O))), O), J=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(N, M))))), I))), d(d(2, d(1, Q)), d(M, d(d(3, d(3, d(1, W))), W))))))), I)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), I))), O))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(P, L)))), I)))))), I)))))), L)))), I))), O)))))]).
mm_proof(mp2and, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, 2))), I)))), J)))))), K))))))), I))))))))), I))))))), I))))), L))))), I))))))), I)))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I))))), I)))), J)))))), K))))))), I))))), N)))-[N=d(2, d(1, 1)), B=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(G, R)), S=d(3, d(F, T)), Q=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, R))))), I))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), d(2, d(B, d(d(2, d(1, d(2, d(1, d(B, I))))), d(1, U))))), O=d(d(2, 1), 1), I=d(N, O), L=d(N, d(d(2, d(1, V)), T)), T=d(G, I), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), L)))), I)), U=d(d(2, d(1, d(2, O))), I), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), L)))), I), M=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(G, d(d(2, d(1, d(2, T))), O))), O), J=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(N, M))))), I))), d(d(2, d(1, Q)), d(M, d(d(3, d(3, d(1, W))), W))))))), I)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), I))), O))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(P, L)))), I)))))), I)))))), L)))), I))), O)))))]).
mm_proof(mpanl1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), I)))))), J))))), K)))))), d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, I))))), J)))), K)))), K)))), 1))), N)))))))), K)))))), K)))))), O)))))), K)))))))), K))))))), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[L=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, N))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(1, N)), D=d(2, d(E, S)), T=d(3, d(D, U)), R=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, S))))), K))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), N=d(d(2, 1), 1), K=d(L, N), O=d(L, d(d(2, d(1, V)), U)), U=d(E, K), J=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), O)))), K)), S=d(d(2, d(1, d(2, d(d(2, d(1, M)), O)))), K), P=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(E, d(d(2, d(1, d(2, U))), N))), N), I=d(P, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, P))))), K))), d(d(2, d(1, R)), d(P, d(d(3, d(3, d(1, W))), W))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), K))), N))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(Q, O)))), K)))))), K)))))), O)))), K))), N)))))]).
mm_proof(mpanl2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), I)))))), J))))), K)))))), d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, I))))), J))))), d(L, 1)))))), K)))), N))), N)))))))), K)))))), K)))))), O)))))), K)))))))), K))))))), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[Q=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, N))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(1, N)), D=d(2, d(E, T)), U=d(3, d(D, V)), S=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, T))))), K))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), N=d(d(2, 1), 1), K=d(Q, N), O=d(Q, d(d(2, d(1, W)), V)), V=d(E, K), J=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), O)))), K)), T=d(d(2, d(1, d(2, d(d(2, d(1, M)), O)))), K), P=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(E, d(d(2, d(1, d(2, V))), N))), N), I=d(P, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(Q, P))))), K))), d(d(2, d(1, S)), d(P, d(d(3, d(3, d(1, X))), X))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), K))), N))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(R, O)))), K)))))), K)))))), O)))), K))), N)))))]).
mm_proof(mpanl12, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), I)))))), J))))), K)))))), d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, I))))), J)))), K)))), K)))), 1))), N)))))))), K)))))), K)))))), O)))))), K)))))))), K))))))), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I))))))), J)))))), K)))))), K)))))), 1))))), N)-[L=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, N))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(1, N)), D=d(2, d(E, S)), T=d(3, d(D, U)), R=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, S))))), K))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), N=d(d(2, 1), 1), K=d(L, N), O=d(L, d(d(2, d(1, V)), U)), U=d(E, K), J=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), O)))), K)), S=d(d(2, d(1, d(2, d(d(2, d(1, M)), O)))), K), P=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(E, d(d(2, d(1, d(2, U))), N))), N), I=d(P, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, P))))), K))), d(d(2, d(1, R)), d(P, d(d(3, d(3, d(1, W))), W))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), K))), N))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(Q, O)))), K)))))), K)))))), O)))), K))), N)))))]).
mm_proof(mpanr1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, K))))), d(1, L))))), d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), N)))))), O))))), K)))), N)))))), O))))))), K))))), P))))), K))))))), K)))))), Q))))), P))))), K))))))), K)))))), Q)))), N)))))), O))))), K)))))), d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, N))))), O))))), d(M, 1)))))), K)))), S))), S)))))))), K)))))), K)))))), P)))))), K)))))))), K))))))), Q)-[T=d(2, d(1, 1)), J=d(2, d(1, 2)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(W, S))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), R=d(2, d(1, S)), W=d(2, d(U, Z)), A1=d(3, d(W, B1)), Y=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, Z))))), K))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), U), G=d(d(d(2, d(1, 2)), 1), V), E=d(d(d(2, d(1, 2)), 1), W), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), S=d(d(2, 1), 1), K=d(T, S), P=d(T, d(d(2, d(1, C1)), B1)), B1=d(U, K), O=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), P)))), K)), L=d(d(2, d(1, d(2, S))), K), Z=d(d(2, d(1, d(2, d(d(2, d(1, R)), P)))), K), D1=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(U, d(d(2, d(1, d(2, B1))), S))), S), Q=d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(D1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(T, D1))))), K))), d(d(2, d(1, Y)), d(D1, d(d(3, d(3, d(1, E1))), E1))))))), K)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(C1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), K))), S))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(X, P)))), K)))))), K)))))), P)))), K))), S)))))]).
mm_proof(mpanr2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, F))))), G))))), d(H, 1)))))), N)))), O))), O)))))), P))))), N))))))), N)))))), Q)))), F)))))), G))))), N))))), P))))), N))))))), N)))))), Q)))))))), N))))), d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), P)))), N)))))), N))))), Q))))), O)-[U=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, O))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), M=d(2, d(1, O)), R=d(2, d(S, X)), Y=d(3, d(R, Z)), W=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, X))))), N))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), U), K=d(d(d(2, d(1, 2)), 1), S), L=d(d(d(2, d(1, 2)), 1), T), J=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), O=d(d(2, 1), 1), N=d(U, O), P=d(U, d(d(2, d(1, A1)), Z)), Z=d(S, N), G=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), N)))), P)))), N)), X=d(d(2, d(1, d(2, d(d(2, d(1, M)), P)))), N), B1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(S, d(d(2, d(1, d(2, Z))), O))), O), Q=d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(B1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(U, B1))))), N))), d(d(2, d(1, W)), d(B1, d(d(3, d(3, d(1, C1))), C1))))))), N)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(A1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), N))), O))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(V, P)))), N)))))), N)))))), P)))), N))), O)))))]).
mm_proof(mpanr12, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, N))))), d(1, O))))), d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), Q)))))), R))))), N)))), Q)))))), R))))))), N))))), S))))), N))))))), N)))))), T))))), S))))), N))))))), N)))))), T)))), Q)))))), R))))), N)))))), d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, Q))))), R))))), V))))), N)))), W))), W)))))))), N)))))), N)))))), S)))))), N)))))))), N))))))), T))))), Q))))))), R))))))), V))))))), N)))))), W))))), W)-[X=d(2, d(1, 1)), M=d(2, d(1, 2)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(A1, W))))), B1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), U=d(2, d(1, W)), A1=d(2, d(Y, D1)), E1=d(3, d(A1, F1)), C1=d(3, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, D1))))), N))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), P=d(d(d(2, d(1, 2)), 1), X), I=d(d(d(2, d(1, 2)), 1), Y), J=d(d(d(2, d(1, 2)), 1), Z), H=d(d(d(2, d(1, 2)), 1), A1), F=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), K), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), W=d(d(2, 1), 1), N=d(X, W), S=d(X, d(d(2, d(1, G1)), F1)), F1=d(Y, N), R=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), S)))), N)), O=d(d(2, d(1, d(2, W))), N), D1=d(d(2, d(1, d(2, d(d(2, d(1, U)), S)))), N), H1=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(Y, d(d(2, d(1, d(2, F1))), W))), W), V=d(P, 1), T=d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(H1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(X, H1))))), N))), d(d(2, d(1, C1)), d(H1, d(d(3, d(3, d(1, I1))), I1))))))), N)), W), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(G1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), N))), W))), d(3, d(A1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, d(d(2, d(1, d(2, d(B1, S)))), N)))))), N)))))), S)))), N))), W)))))]).
mm_proof(mpanlr1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), J)))))), K))))), L)))))), d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(1, N)))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), L)))), L)))), 1))), O)))))), P))))), L))))))), L)))))), Q)))), J)))))), K))))), L))))), P))))), L))))))), L)))))), Q)))), J)))))), K)))))), P))))), L))))))), L)))))), Q)))))))), L)))))), L)))))), P)))))), L)))))))), L))))))), Q)-[R=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(U, O))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), X=d(2, d(1, O)), U=d(2, d(S, Y)), Z=d(3, d(U, A1)), W=d(3, d(U, d(d(2, d(1, d(2, d(S, d(T, Y))))), L))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), T), E=d(d(d(2, d(1, 2)), 1), U), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), O=d(d(2, 1), 1), L=d(R, O), P=d(R, d(d(2, d(1, B1)), A1)), A1=d(S, L), K=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), L)))), P)))), L)), N=d(d(2, d(1, d(2, d(1, d(X, J))))), K), Y=d(d(2, d(1, d(2, d(d(2, d(1, X)), P)))), L), C1=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(S, d(d(2, d(1, d(2, A1))), O))), O), Q=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(C1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(R, C1))))), L))), d(d(2, d(1, W)), d(C1, d(d(3, d(3, d(1, D1))), D1))))))), L)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(B1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), L))), O))), d(3, d(U, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(V, P)))), L)))))), L)))))), P)))), L))), O)))))]).
mm_proof(mpbirand, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(C, d(D, d(E, F))))), d(E, G))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, G)))))), d(E, d(H, F)))))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, B))), P=d(2, d(1, N)), Q=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, R))))), d(1, S)))), M=d(2, d(K, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, T))))), R))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), X), H=d(d(d(2, d(1, 2)), 1), Y), N=d(d(2, 1), 1), Z=d(I, 1), R=d(I, N), A1=d(I, d(d(2, d(1, B1)), V)), V=d(K, R), C1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), R)), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1), S=d(d(2, d(1, d(2, N))), R), T=d(d(2, d(1, d(2, d(d(2, d(1, P)), A1)))), R), D1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(X, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), C1)))), R), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, W)), d(X, d(d(3, d(3, d(1, F1))), F1))), G1=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), A1)))), R)))))), R))))), H1), B1=d(d(2, d(K, d(d(2, d(1, d(2, V))), N))), N), Y=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, X))))), R))), E1)))), R)), N), F=d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(X, d(d(B, Y), Y))))), d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(X, I1))), d(X, J1))), d(d(2, d(1, d(X, d(Y, J1)))), d(X, d(Y, I1))))))))), H1=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A=d(X, d(Y, K1)), G=d(X, K1), F1=d(B1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), R))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, A1)))), R)))))), R)))))), A1)))), R))), N))))), K1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(J, d(2, d(1, E1)))))))), R))), d(J, d(2, d(1, X))))))), R)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), Z)))), R)))))), d(Q, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), Z)))), R))))), I1=d(G, d(1, d(d(B, G1), G1))), J1=d(G, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), A1)))), R)))))), R))))), H1))))))), R))), D1)))), R)), N))]).
mm_proof(mpbiran2d, d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(C, d(D, d(E, F))))), d(E, G))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, G)))))), d(E, d(H, F)))))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, N)), R=d(2, d(1, d(S, T))), U=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, V))))), d(1, W)))), M=d(2, d(K, X)), Y=d(3, d(M, Z)), A1=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, X))))), V))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), S), H=d(d(d(2, d(1, 2)), 1), B1), A=d(d(d(2, d(1, 2)), 1), C1), D1=d(d(d(2, d(1, 2)), 1), E1), N=d(d(2, 1), 1), F1=d(I, 1), V=d(I, N), G1=d(I, d(d(2, d(1, H1)), Z)), Z=d(K, V), I1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), G1)))), V)), P=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1), W=d(d(2, d(1, d(2, N))), V), X=d(d(2, d(1, d(2, d(d(2, d(1, Q)), G1)))), V), J1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(S, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), I1)))), V), S=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, A1)), d(S, d(d(3, d(3, d(1, L1))), L1))), M1=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), V)))))), V))))), N1), H1=d(d(2, d(K, d(d(2, d(1, d(2, Z))), N))), N), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, S))))), V))), K1)))), V)), N), F=d(D1, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(S, d(d(P, B1), B1))))), d(2, d(1, d(C1, d(d(P, d(R, d(S, O1))), d(d(2, d(1, d(S, d(B1, O1)))), P1))))))), G=d(D1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), R), d(E, E1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, E1))))), P1)))), N1=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(S, d(B1, Q1)), P1=d(S, d(B1, T)), E1=d(S, Q1), L1=d(H1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), V))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, G1)))), V)))))), V)))))), G1)))), V))), N))))), Q1=d(d(P, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(J, d(2, d(1, K1)))))))), V))), d(J, d(2, d(1, S))))))), V)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, P)))), d(U, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), F1)))), V)))))), d(U, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), F1)))), V))))), T=d(E1, d(1, d(d(P, M1), M1))), O1=d(E1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), G1)))), V)))))), V))))), N1))))))), V))), J1)))), V)), N))]).
mm_proof(mpbiran, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(D, E))))), F)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, G))))), d(D, d(H, E))))-[I=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, M)), L=d(2, d(J, Q)), R=d(3, d(L, S)), T=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Q))))), U))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), F), H=d(d(d(2, d(1, 2)), 1), G), M=d(d(2, 1), 1), U=d(I, M), V=d(I, d(d(2, d(1, W)), S)), S=d(J, U), X=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), U)))), V)))), U)), O=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), V)))), U), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(F, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), X)))), U), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), U)))))), U))))), A1), W=d(d(2, d(J, d(d(2, d(1, d(2, S))), M))), M), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), U)))))), U))))), A1))))))), U))), Y)))), U)), M), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, F))))), U))), d(d(2, d(1, T)), d(F, d(d(3, d(3, d(1, C1))), C1))))))), U)), M), E=d(H, d(d(2, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(F, D1)))), d(D, B1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(H, B1))))), d(F, d(G, D1))))), A1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(W, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), U))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, V)))), U)))))), U)))))), V)))), U))), M))))), D1=d(G, d(d(O, Z), Z))]).
mm_proof(mpbiran2, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(D, E))))), d(D, F))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(G, F)))))), d(D, d(G, E))))-[H=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, L)), K=d(2, d(I, P)), Q=d(3, d(K, R)), S=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, P))))), T))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), U=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(V, W)))), A=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), V), G=d(d(d(2, d(1, 2)), 1), X), L=d(d(2, 1), 1), T=d(H, L), Y=d(H, d(d(2, d(1, Z)), R)), R=d(I, T), A1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), T)))), Y)))), T)), N=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), P=d(d(2, d(1, d(2, d(d(2, d(1, O)), Y)))), T), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(V, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), A1)))), T), V=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), T)))))), T))))), D1), Z=d(d(2, d(I, d(d(2, d(1, d(2, R))), L))), L), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Y)))), T)))))), T))))), D1))))))), T))), B1)))), T)), L), X=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, V))))), T))), d(d(2, d(1, S)), d(V, d(d(3, d(3, d(1, F1))), F1))))))), T)), L), E=d(G, d(d(2, d(A, d(U, d(D, E1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(G, E1))))), G1))), F=d(d(2, d(A, d(U, V))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, X)))), G1)), D1=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G1=d(V, d(X, W)), F1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), T))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, Y)))), T)))))), T)))))), Y)))), T))), L))))), W=d(X, d(d(N, C1), C1))]).
mm_proof(mpbir2an, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(D, d(E, d(A, F))))), G)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(A, H))))), d(A, d(B, F)))))))-[I=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, M)), L=d(2, d(J, Q)), R=d(3, d(L, S)), T=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Q))))), U))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), O), A=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), H), M=d(d(2, 1), 1), U=d(I, M), V=d(I, d(d(2, d(1, W)), S)), S=d(J, U), X=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), U)))), V)))), U)), O=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), V)))), U), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), X)))), U), G=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), U)))))), U))))), A1), W=d(d(2, d(J, d(d(2, d(1, d(2, S))), M))), M), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), U)))))), U))))), A1))))))), U))), Y)))), U)), M), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, G))))), U))), d(d(2, d(1, T)), d(G, d(d(3, d(3, d(1, C1))), C1))))))), U)), M), F=d(B, d(d(2, d(C, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G, D1)))), d(A, B1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(A, d(B, B1))))), d(G, d(H, D1))))), A1=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(W, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), U))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, V)))), U)))))), U)))))), V)))), U))), M))))), D1=d(H, d(d(O, Z), Z))]).
mm_proof(mpbi2and, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(2, d(1, B)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, B))))), G))), d(d(2, d(1, H)), d(B, d(d(3, d(3, d(1, I))), I))))))), G)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), K))))), F))))), G))))))), J))-[F=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D=d(2, d(1, J)), N=d(2, d(L, O)), P=d(3, d(N, Q)), H=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, O))))), G))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), J=d(d(2, 1), 1), G=d(F, J), R=d(F, d(d(2, d(1, S)), Q)), Q=d(L, G), K=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), R)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, D)), R)))), G), B=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(L, d(d(2, d(1, d(2, Q))), J))), J), I=d(S, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), G))), J))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(E, R)))), G)))))), G)))))), R)))), G))), J)))))]).
mm_proof(mpbir2and, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, C))), d(2, d(1, d(C, d(d(D, E), E))))))))), F))))), F))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), H))))), I))))), F))))))), J))-[I=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, J))))), N=d(2, d(1, d(2, D))), G=d(2, d(1, J)), M=d(2, d(K, O)), P=d(3, d(M, Q)), R=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), J=d(d(2, 1), 1), F=d(I, J), S=d(I, d(d(2, d(1, T)), Q)), Q=d(K, F), H=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), F)))), S)))), F)), D=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H), O=d(d(2, d(1, d(2, d(d(2, d(1, G)), S)))), F), C=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(K, d(d(2, d(1, d(2, Q))), J))), J), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, C))))), F))), d(d(2, d(1, R)), d(C, d(d(3, d(3, d(1, U))), U))))))), F)), J), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), F))), J))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(N, S)))), F)))))), F)))))), S)))), F))), J)))))]).
mm_proof(adantll, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))))))), H))))), H))))), J))))), H))))))), H)))))), K)-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), C=d(2, d(D, O)), P=d(3, d(C, Q)), N=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, O))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), H=d(I, L), J=d(I, d(d(2, d(1, R)), Q)), Q=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), J)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), J)))), H), S=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(D, d(d(2, d(1, d(2, Q))), L))), L), K=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(I, S))))), H))), d(d(2, d(1, N)), d(S, d(d(3, d(3, d(1, T))), T))))))), H)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(R, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), L))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(M, J)))), H)))))), H)))))), J)))), H))), L)))))]).
mm_proof(adantlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, F))))), I))), d(d(2, d(1, J)), d(F, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M))))), I))))), d(H, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), N)))), I)))))), I))))), O))))))), I))))), I))))), N))))), I))))))), I)))))), O)-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, L))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), C=d(2, d(D, P)), Q=d(3, d(C, R)), J=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), I=d(H, L), N=d(H, d(d(2, d(1, S)), R)), R=d(D, I), M=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), N)))), I)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), N)))), I), F=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(D, d(d(2, d(1, d(2, R))), L))), L), O=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(S, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), I))), L))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(G, N)))), I)))))), I)))))), N)))), I))), L)))))]).
mm_proof(adantrl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), C))))), D)))), J)))), K)))), J)))))), J))))), L))))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L))))))), J)))), I))), M)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), F=d(2, d(G, P)), Q=d(3, d(F, R)), O=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, P))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), J=d(E, M), K=d(E, d(d(2, d(1, S)), R)), R=d(G, J), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), K)))), J)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), K)))), J), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L), S=d(d(2, d(G, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(E, T))))), J))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), M))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(N, K)))), J)))))), J)))))), K)))), J))), M)))))]).
mm_proof(adantrr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, I)))), J)))), K)))))), K))))), L))), C))))), D)))), K)))), J)))), K)))))), K))))), L))))))), K)))), I))), M)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), F=d(2, d(G, P)), Q=d(3, d(F, R)), O=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, P))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), K=d(E, M), J=d(E, d(d(2, d(1, S)), R)), R=d(G, K), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), K)))), J)))), K)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), K), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), K)))))), K))))), L), S=d(d(2, d(G, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(E, T))))), K))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), K)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), K))), M))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(N, J)))), K)))))), K)))))), J)))), K))), M)))))]).
mm_proof(adantlll, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, F))))), G)))), H)))), K)))), H)))), H)))), L)))), H)))))), H))))), M))), F))))), G)))), K)))), H))), N)), O))))))), H))))), H))))), L))))), H))))))), H)))))), M)-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), J=d(2, d(1, O)), C=d(2, d(D, R)), S=d(3, d(C, T)), Q=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, R))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), O=d(d(2, 1), 1), H=d(I, O), K=d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, N)), F))))), G)))), H)))), L)))), H)))))), H))))), M)), L=d(I, d(d(2, d(1, U)), T)), T=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), H)))), L)))), H)), R=d(d(2, d(1, d(2, d(d(2, d(1, J)), L)))), H), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), L)))), H)))))), H))))), M), U=d(d(2, d(D, d(d(2, d(1, d(2, T))), O))), O), M=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, V))))), H))), d(d(2, d(1, Q)), d(V, d(d(3, d(3, d(1, W))), W))))))), H)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), H))), O))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(P, L)))), H)))))), H)))))), L)))), H))), O)))))]).
mm_proof(adantllr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, F))))), G)))), H)))), d(I, K))))), H)))), H)))), L)))), H)))))), H))))), M))), F))))), G)))), d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K)), F))))), G)))), H)))), L)))), H)))))), H))))), M)))))), H))), K)), N))))))), H))))), H))))), L))))), H))))))), H)))))), M)-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), J=d(2, d(1, N)), C=d(2, d(D, Q)), R=d(3, d(C, S)), P=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, Q))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), H=d(I, N), L=d(I, d(d(2, d(1, T)), S)), S=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), L)))), H)), Q=d(d(2, d(1, d(2, d(d(2, d(1, J)), L)))), H), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), L)))), H)))))), H))))), M), T=d(d(2, d(D, d(d(2, d(1, d(2, S))), N))), N), M=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, U))))), H))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), H))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(O, L)))), H)))))), H)))))), L)))), H))), N)))))]).
mm_proof(adantlrl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(J, F))))), G))))), H))), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), K)))), H)))))), H))))), L))), F))))), G)))), H)))), K)))), H)))))), H))))), L))))), K)))), H)))))), H))))), L))), F))))), G)))), H)))), K)))), H)))))), H))))), L))), F))))), G))))), K)))), H)))))), H))))), L))))))), H))))), H))))), K))))), H))))))), H)))))), L)-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), J=d(2, d(1, M)), C=d(2, d(D, P)), Q=d(3, d(C, R)), O=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), H=d(I, M), K=d(I, d(d(2, d(1, S)), R)), R=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), K)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, J)), K)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(D, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), H))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(N, K)))), H)))))), H)))))), K)))), H))), M)))))]).
mm_proof(adantlrr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(J, F))))), G))))), H))), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), K)))), H)))))), H))))), L))))), K)))), H)))))), H))))), L))), F))))), G)))), H)))), K)))), H)))))), H))))), L))), F))))), G))))), K)))), H)))))), H))))), L))))))), H))))), H))))), K))))), H))))))), H)))))), L)-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), J=d(2, d(1, M)), C=d(2, d(D, P)), Q=d(3, d(C, R)), O=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), H=d(I, M), K=d(I, d(d(2, d(1, S)), R)), R=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), K)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, J)), K)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(D, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), H))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(N, K)))), H)))))), H)))))), K)))), H))), M)))))]).
mm_proof(adantrll, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, C))))), D)))), J)))), K)))), J)))), J)))), L)))), J)))))), J))))), M))), C))))), D)))), K)))), J))), N)), O))))), L)))), J)))))), J))))), M))), C))))), D)))), J)))), L)))), J)))))), J))))), M))))))), J)))), N))), O)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), I=d(2, d(1, O)), F=d(2, d(G, R)), S=d(3, d(F, T)), Q=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, R))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), O=d(d(2, 1), 1), J=d(E, O), K=d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, N)), C))))), D)))), J)))), L)))), J)))))), J))))), M)), L=d(E, d(d(2, d(1, U)), T)), T=d(G, J), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), J)))), L)))), J)), R=d(d(2, d(1, d(2, d(d(2, d(1, I)), L)))), J), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), L)))), J)))))), J))))), M), U=d(d(2, d(G, d(d(2, d(1, d(2, T))), O))), O), M=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(E, V))))), J))), d(d(2, d(1, Q)), d(V, d(d(3, d(3, d(1, W))), W))))))), J)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), J))), O))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(P, L)))), J)))))), J)))))), L)))), J))), O)))))]).
mm_proof(adantrlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, C))))), D)))), J)))), d(E, K))))), J)))), J)))), L)))), J)))))), J))))), M))), C))))), D)))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K)), C))))), D)))), J)))), L)))), J)))))), J))))), M)))))), J))), K)), N))))), L)))), J)))))), J))))), M))), C))))), D)))), J)))), L)))), J)))))), J))))), M))))))), J)))), K))), N)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), I=d(2, d(1, N)), F=d(2, d(G, Q)), R=d(3, d(F, S)), P=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, Q))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), J=d(E, N), L=d(E, d(d(2, d(1, T)), S)), S=d(G, J), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), J)))), L)))), J)), Q=d(d(2, d(1, d(2, d(d(2, d(1, I)), L)))), J), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), L)))), J)))))), J))))), M), T=d(d(2, d(G, d(d(2, d(1, d(2, S))), N))), N), M=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(E, U))))), J))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), J)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), J))), N))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(O, L)))), J)))))), J)))))), L)))), J))), N)))))]).
mm_proof(adantrrl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, C))))), D)))), J)))), J)))), J)))), J)))), K)))), J)))))), J))))), L))), C))))), D)))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), C))))), D)))), J)))), K)))), J)))))), J))))), L))))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L)))))), J))), M)), N))))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L))))))), J)))), M))), N)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), I=d(2, d(1, N)), F=d(2, d(G, Q)), R=d(3, d(F, S)), P=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, Q))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), J=d(E, N), K=d(E, d(d(2, d(1, T)), S)), S=d(G, J), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), J)))), K)))), J)), Q=d(d(2, d(1, d(2, d(d(2, d(1, I)), K)))), J), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L), T=d(d(2, d(G, d(d(2, d(1, d(2, S))), N))), N), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(E, U))))), J))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), J)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), N))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(O, K)))), J)))))), J)))))), K)))), J))), N)))))]).
mm_proof(adantrrr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, C))))), D)))), J)))), J)))), J)))), J)))), K)))), J)))))), J))))), L))), C))))), D)))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, M)))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L)))))), J))), M)), N))))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L))))))), J)))), M))), N)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), I=d(2, d(1, N)), F=d(2, d(G, Q)), R=d(3, d(F, S)), P=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, Q))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), J=d(E, N), K=d(E, d(d(2, d(1, T)), S)), S=d(G, J), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), J)))), K)))), J)), Q=d(d(2, d(1, d(2, d(d(2, d(1, I)), K)))), J), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L), T=d(d(2, d(G, d(d(2, d(1, d(2, S))), N))), N), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(E, U))))), J))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), J)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), N))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(O, K)))), J)))))), J)))))), K)))), J))), N)))))]).
mm_proof(ad2antrr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))), d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, K))))), I))), d(d(2, d(1, M)), d(K, d(d(3, d(3, d(1, N))), N))))))), I)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P))))), I))))), d(G, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J))))))), I))))), I))))), H))))), I))))))), I)))))), J)-[G=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, O))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), Q=d(2, d(R, T)), U=d(3, d(Q, V)), M=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, T))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), D=d(d(d(2, d(1, 2)), 1), Q), O=d(d(2, 1), 1), I=d(G, O), H=d(G, d(d(2, d(1, W)), V)), V=d(R, I), P=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), I)))), H)))), I)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), H)))), I), K=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(R, d(d(2, d(1, d(2, V))), O))), O), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(W, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), O))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(L, H)))), I)))))), I)))))), H)))), I))), O)))))]).
mm_proof(ad2antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), d(G, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J))), K))))), L)))), I)))), H)))), I)))))), I))))), J))))))), I))))), I))))), H))))), I))))))), I)))))), J)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, P))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), M=d(2, d(N, S)), T=d(3, d(M, U)), R=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, S))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), P=d(d(2, 1), 1), I=d(G, P), H=d(G, d(d(2, d(1, V)), U)), U=d(N, I), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), I)))), H)))), I)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), H)))), I), W=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(N, d(d(2, d(1, d(2, U))), P))), P), J=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(G, W))))), I))), d(d(2, d(1, R)), d(W, d(d(3, d(3, d(1, X))), X))))))), I)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), P))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Q, H)))), I)))))), I)))))), H)))), I))), P)))))]).
mm_proof(ad2antrl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), H))))), I))))))), I)))))), J)))), K)))))), L))))), d(G, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, P)))), H)))), I)))))), I))))), J))), K))))), L)))), I)))), H)))), I)))))), I))))), J))))))), I)))), P))), Q)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), M=d(2, d(N, T)), U=d(3, d(M, V)), S=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, T))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), Q=d(d(2, 1), 1), I=d(G, Q), H=d(G, d(d(2, d(1, W)), V)), V=d(N, I), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), I)))), H)))), I)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), H)))), I), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J), W=d(d(2, d(N, d(d(2, d(1, d(2, V))), Q))), Q), J=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, X))))), I))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), I)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), Q))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, H)))), I)))))), I)))))), H)))), I))), Q)))))]).
mm_proof(ad2antll, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), H))))), I))))))), I)))))), J)))))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), H))))), I))))))), I)))))), J)-[G=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), O=d(2, d(M, S)), T=d(3, d(O, U)), R=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, S))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), I=d(G, P), H=d(G, d(d(2, d(1, V)), U)), U=d(M, I), L=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), I)))), H)))), I)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), H)))), I), W=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(M, d(d(2, d(1, d(2, U))), P))), P), J=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(G, W))))), I))), d(d(2, d(1, R)), d(W, d(d(3, d(3, d(1, X))), X))))))), I)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, H)))), I)))))), I)))))), H)))), I))), P)))))]).
mm_proof(ad3antrrr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))))), H))))), I))))))), I)))))), J)))), d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, K))))), I))), d(d(2, d(1, M)), d(K, d(d(3, d(3, d(1, N))), N))))))), I)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P))))), I))))), d(G, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J))))))), I))))), I))))), H))))), I))))))), I)))))), J)-[G=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, O))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), Q=d(2, d(R, T)), U=d(3, d(Q, V)), M=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, T))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), D=d(d(d(2, d(1, 2)), 1), Q), O=d(d(2, 1), 1), I=d(G, O), H=d(G, d(d(2, d(1, W)), V)), V=d(R, I), P=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), I)))), H)))), I)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), H)))), I), K=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(R, d(d(2, d(1, d(2, V))), O))), O), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(W, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), O))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(L, H)))), I)))))), I)))))), H)))), I))), O)))))]).
mm_proof(ad3antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), H))))), I))))))), I)))))), J)))))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), d(G, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J))))))), I))))), I))))), H))))), I))))))), I)))))), J)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, P))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), M=d(2, d(N, S)), T=d(3, d(M, U)), R=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, S))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), P=d(d(2, 1), 1), I=d(G, P), H=d(G, d(d(2, d(1, V)), U)), U=d(N, I), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), I)))), H)))), I)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), H)))), I), W=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(N, d(d(2, d(1, d(2, U))), P))), P), J=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(G, W))))), I))), d(d(2, d(1, R)), d(W, d(d(3, d(3, d(1, X))), X))))))), I)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), P))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Q, H)))), I)))))), I)))))), H)))), I))), P)))))]).
mm_proof(ad4antr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, L))))), J))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), J)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), J))))), d(H, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, P))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R=d(2, d(S, U)), V=d(3, d(R, W)), N=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, U))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), R), P=d(d(2, 1), 1), J=d(H, P), I=d(H, d(d(2, d(1, X)), W)), W=d(S, J), Q=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I)))), J)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J), L=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(S, d(d(2, d(1, d(2, W))), P))), P), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(X, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), P))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), P)))))]).
mm_proof(ad4antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), d(H, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, T)), U=d(3, d(N, V)), S=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), Q=d(d(2, 1), 1), J=d(H, Q), I=d(H, d(d(2, d(1, W)), V)), V=d(O, J), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, V))), Q))), Q), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(ad5antr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, L))))), J))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), J)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), J))))), d(H, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, P))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R=d(2, d(S, U)), V=d(3, d(R, W)), N=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, U))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), R), P=d(d(2, 1), 1), J=d(H, P), I=d(H, d(d(2, d(1, X)), W)), W=d(S, J), Q=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I)))), J)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J), L=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(S, d(d(2, d(1, d(2, W))), P))), P), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(X, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), P))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), P)))))]).
mm_proof(ad5antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), d(H, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, T)), U=d(3, d(N, V)), S=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), Q=d(d(2, 1), 1), J=d(H, Q), I=d(H, d(d(2, d(1, W)), V)), V=d(O, J), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, V))), Q))), Q), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(ad6antr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, L))))), J))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), J)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), J))))), d(H, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, P))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R=d(2, d(S, U)), V=d(3, d(R, W)), N=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, U))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), R), P=d(d(2, 1), 1), J=d(H, P), I=d(H, d(d(2, d(1, X)), W)), W=d(S, J), Q=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I)))), J)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J), L=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(S, d(d(2, d(1, d(2, W))), P))), P), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(X, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), P))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), P)))))]).
mm_proof(ad6antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), d(H, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, T)), U=d(3, d(N, V)), S=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), Q=d(d(2, 1), 1), J=d(H, Q), I=d(H, d(d(2, d(1, W)), V)), V=d(O, J), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, V))), Q))), Q), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(ad7antr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, L))))), J))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), J)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), J))))), d(H, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, P))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R=d(2, d(S, U)), V=d(3, d(R, W)), N=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, U))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), R), P=d(d(2, 1), 1), J=d(H, P), I=d(H, d(d(2, d(1, X)), W)), W=d(S, J), Q=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I)))), J)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J), L=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(S, d(d(2, d(1, d(2, W))), P))), P), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(X, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), P))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), P)))))]).
mm_proof(ad7antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), d(H, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, T)), U=d(3, d(N, V)), S=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), Q=d(d(2, 1), 1), J=d(H, Q), I=d(H, d(d(2, d(1, W)), V)), V=d(O, J), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, V))), Q))), Q), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(ad8antr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, L))))), J))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), J)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), J))))), d(H, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, P))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R=d(2, d(S, U)), V=d(3, d(R, W)), N=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, U))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), R), P=d(d(2, 1), 1), J=d(H, P), I=d(H, d(d(2, d(1, X)), W)), W=d(S, J), Q=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I)))), J)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J), L=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(S, d(d(2, d(1, d(2, W))), P))), P), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(X, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), P))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), P)))))]).
mm_proof(ad8antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), d(H, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, T)), U=d(3, d(N, V)), S=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), Q=d(d(2, 1), 1), J=d(H, Q), I=d(H, d(d(2, d(1, W)), V)), V=d(O, J), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, V))), Q))), Q), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(ad9antr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, L))))), J))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), J)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), J))))), d(H, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, P))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R=d(2, d(S, U)), V=d(3, d(R, W)), N=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, U))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), R), P=d(d(2, 1), 1), J=d(H, P), I=d(H, d(d(2, d(1, X)), W)), W=d(S, J), Q=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I)))), J)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J), L=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(S, d(d(2, d(1, d(2, W))), P))), P), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(X, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), P))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), P)))))]).
mm_proof(ad9antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), d(H, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, T)), U=d(3, d(N, V)), S=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), Q=d(d(2, 1), 1), J=d(H, Q), I=d(H, d(d(2, d(1, W)), V)), V=d(O, J), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, V))), Q))), Q), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(ad10antr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, L))))), J))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), J)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), J))))), d(H, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, P))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R=d(2, d(S, U)), V=d(3, d(R, W)), N=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, U))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), R), P=d(d(2, 1), 1), J=d(H, P), I=d(H, d(d(2, d(1, X)), W)), W=d(S, J), Q=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I)))), J)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I)))), J), L=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(S, d(d(2, d(1, d(2, W))), P))), P), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(X, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), P))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(M, I)))), J)))))), J)))))), I)))), J))), P)))))]).
mm_proof(ad10antlr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, H)))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))))), I))))), J))))))), J)))))), K)))), L)))))), M))))), J))))), d(H, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K))))))), J))))), J))))), I))))), J))))))), J)))))), K)-[H=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, T)), U=d(3, d(N, V)), S=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), Q=d(d(2, 1), 1), J=d(H, Q), I=d(H, d(d(2, d(1, W)), V)), V=d(O, J), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, V))), Q))), Q), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof(ad2ant2l, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), d(H, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), J)))), K)))))), K))))), L))), F))))), G)))), K)))), J)))), K)))))), K))))), L))))))), K)))), M))), N)))), F)))))), G))))), K))))), I))))), K))))), K))))), J))))), K))))))), K)))))), L)-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), C=d(2, d(D, Q)), R=d(3, d(C, S)), P=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, Q))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), K=d(H, N), I=d(H, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), F))))), G)))), K)))), J)))), K)))))), K))))), L)), J=d(H, d(d(2, d(1, T)), S)), S=d(D, K), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), J)))), K)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), J)))), K), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), K)))))), K))))), L), T=d(d(2, d(D, d(d(2, d(1, d(2, S))), N))), N), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, U))))), K))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), K))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(O, J)))), K)))))), K)))))), J)))), K))), N)))))]).
mm_proof(ad2ant2r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), d(H, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), J)))), K)))))), K))))), L))), F))))), G)))), K)))), J)))), K)))))), K))))), L))))))), K)))), M))), N)))), F)))))), G))))), K))))), I))))), K))))), K))))), J))))), K))))))), K)))))), L)-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), C=d(2, d(D, Q)), R=d(3, d(C, S)), P=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, Q))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), K=d(H, N), I=d(H, M), J=d(H, d(d(2, d(1, T)), S)), S=d(D, K), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), J)))), K)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), J)))), K), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), K)))))), K))))), L), T=d(d(2, d(D, d(d(2, d(1, d(2, S))), N))), N), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, U))))), K))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), K))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(O, J)))), K)))))), K)))))), J)))), K))), N)))))]).
mm_proof(ad2ant2lr, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), d(H, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, I)))), J)))), K)))))), K))))), L))), F))))), G)))), K)))), J)))), K)))))), K))))), L))))))), K)))), I))), M)))), F)))))), G))))), K))))), d(H, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), F))))), G)))), K)))), J)))), K)))))), K))))), L))))))), K))))), K))))), J))))), K))))))), K)))))), L)-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), C=d(2, d(D, P)), Q=d(3, d(C, R)), O=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), K=d(H, M), J=d(H, d(d(2, d(1, S)), R)), R=d(D, K), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), K)))), J)))), K)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), K), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), K)))))), K))))), L), S=d(d(2, d(D, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, T))))), K))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), K)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), K))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(N, J)))), K)))))), K)))))), J)))), K))), M)))))]).
mm_proof(ad2ant2rl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), d(H, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), F))))), G)))), J)))), K)))), J)))))), J))))), L))))), K)))), J)))))), J))))), L))), F))))), G)))), J)))), K)))), J)))))), J))))), L))))))), J)))), I))), M)))), F)))))), G))))), J))))), d(H, I)))))), J))))), J))))), K))))), J))))))), J)))))), L)-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), C=d(2, d(D, P)), Q=d(3, d(C, R)), O=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), J=d(H, M), K=d(H, d(d(2, d(1, S)), R)), R=d(D, J), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), K)))), J)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), K)))), J), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L), S=d(d(2, d(D, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, T))))), J))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), M))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(N, K)))), J)))))), J)))))), K)))), J))), M)))))]).
mm_proof(adantl3r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(I, K))))), H)))), H)))), L)))), H)))))), H))))), M)))))), H)))), H)))), L)))), H)))))), H))))), M))), F))))), G)))), d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K)), F))))), G)))), H)))), L)))), H)))))), H))))), M)))))), H))), K)), N))))))), H))))), H))))), L))))), H))))))), H)))))), M)-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, F))))), G)))), H)))), Q=d(2, d(1, N)), C=d(2, d(D, R)), S=d(3, d(C, T)), P=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, R))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), H=d(I, N), L=d(I, d(d(2, d(1, U)), T)), T=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), L)))), H)), R=d(d(2, d(1, d(2, d(d(2, d(1, Q)), L)))), H), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), L)))), H)))))), H))))), M), U=d(d(2, d(D, d(d(2, d(1, d(2, T))), N))), N), M=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, V))))), H))), d(d(2, d(1, P)), d(V, d(d(3, d(3, d(1, W))), W))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), H))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(O, L)))), H)))))), H)))))), L)))), H))), N)))))]).
mm_proof(ad4ant13, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), d(G, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, K))))), L)))), I)))), d(G, Q))))), I)))), I)))), H)))), I)))))), I))))), J))), K))))), L)))), d(G, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Q)), K))))), L)))), I)))), H)))), I)))))), I))))), J)))))), I))), Q)), R))))))), I))))), I))))), H))))), I))))))), I)))))), J)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, R))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), P=d(2, d(1, R)), M=d(2, d(N, U)), V=d(3, d(M, W)), T=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, U))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), R=d(d(2, 1), 1), I=d(G, R), H=d(G, d(d(2, d(1, X)), W)), W=d(N, I), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), I)))), H)))), I)), U=d(d(2, d(1, d(2, d(d(2, d(1, P)), H)))), I), Y=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J), X=d(d(2, d(N, d(d(2, d(1, d(2, W))), R))), R), J=d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(Y, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(G, Y))))), I))), d(d(2, d(1, T)), d(Y, d(d(3, d(3, d(1, Z))), Z))))))), I)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(X, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), R))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(S, H)))), I)))))), I)))))), H)))), I))), R)))))]).
mm_proof(ad4ant14, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), I))))), J))))), I))))), I))))), K))))), I))))))), I)))))), L)))), G)))))), H))))), I))))), J))))), I))))), I))))), K))))), I))))))), I)))))), L)-[M=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), P=d(2, d(N, T)), U=d(3, d(P, V)), S=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, T))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), P), Q=d(d(2, 1), 1), I=d(M, Q), J=d(M, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), K)))), I)))))), I))))), L)), K=d(M, d(d(2, d(1, W)), V)), V=d(N, I), H=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), I)))), K)))), I)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), K)))), I), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(N, d(d(2, d(1, d(2, V))), Q))), Q), L=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, X))))), I))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), I)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), I))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, K)))), I)))))), I)))))), K)))), I))), Q)))))]).
mm_proof(ad4ant23, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), d(G, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, K))))), L)))), I)))), Q)))), I)))), I)))), H)))), I)))))), I))))), J))), K))))), L)))), Q)))), I))), R)), S))))))), I))))), I))))), H))))), I))))))), I)))))), J)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), P=d(2, d(1, S)), M=d(2, d(N, V)), W=d(3, d(M, X)), U=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, V))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), S=d(d(2, 1), 1), I=d(G, S), Q=d(G, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, R)), K))))), L)))), I)))), H)))), I)))))), I))))), J)), H=d(G, d(d(2, d(1, Y)), X)), X=d(N, I), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), I)))), H)))), I)), V=d(d(2, d(1, d(2, d(d(2, d(1, P)), H)))), I), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J), Y=d(d(2, d(N, d(d(2, d(1, d(2, X))), S))), S), J=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(G, Z))))), I))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), I)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), S))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(T, H)))), I)))))), I)))))), H)))), I))), S)))))]).
mm_proof(ad4ant24, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), I))))), d(J, K)))))), I))))), I))))), L))))), I))))))), I)))))), M)))), G)))))), H))))), I))))), d(J, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, G))))), H)))), I)))), R)))), I)))), I)))), L)))), I)))))), I))))), M))), G))))), H)))), R)))), I))), K)), S))))))), I))))), I))))), L))))), I))))))), I)))))), M)-[J=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), Q=d(2, d(1, S)), N=d(2, d(O, V)), W=d(3, d(N, X)), U=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, V))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), S=d(d(2, 1), 1), I=d(J, S), R=d(J, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K)), G))))), H)))), I)))), L)))), I)))))), I))))), M)), L=d(J, d(d(2, d(1, Y)), X)), X=d(O, I), H=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), I)))), L)))), I)), V=d(d(2, d(1, d(2, d(d(2, d(1, Q)), L)))), I), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), L)))), I)))))), I))))), M), Y=d(d(2, d(O, d(d(2, d(1, d(2, X))), S))), S), M=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(J, Z))))), I))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), I)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), I))), S))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(T, L)))), I)))))), I)))))), L)))), I))), S)))))]).
mm_proof(adantl4r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H)))), G)))))), H))))), I))))), d(J, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(J, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(J, O))))), I)))), I)))), P)))), I)))))), I))))), Q)))))), I)))), I)))), P)))), I)))))), I))))), Q))), G))))), H)))), d(J, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O)), G))))), H)))), I)))), P)))), I)))))), I))))), Q)))))), I))), O)), R))))))), I))))), I))))), P))))), I))))))), I)))))), Q))))), P))))), I))))))), I)))))), Q)-[J=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, R))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, G))))), H)))), I)))), U=d(2, d(1, R)), K=d(2, d(L, V)), W=d(3, d(K, X)), T=d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, V))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), M), D=d(d(d(2, d(1, 2)), 1), K), R=d(d(2, 1), 1), I=d(J, R), P=d(J, d(d(2, d(1, Y)), X)), X=d(L, I), H=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), I)))), P)))), I)), V=d(d(2, d(1, d(2, d(d(2, d(1, U)), P)))), I), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), P)))), I)))))), I))))), Q), Y=d(d(2, d(L, d(d(2, d(1, d(2, X))), R))), R), Q=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(J, Z))))), I))), d(d(2, d(1, T)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), I)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), I))), R))), d(3, d(K, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(S, P)))), I)))))), I)))))), P)))), I))), R)))))]).
mm_proof(ad5ant12, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))))), H))))), I))))))), I)))))), J)))), d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, K))))), I))), d(d(2, d(1, M)), d(K, d(d(3, d(3, d(1, N))), N))))))), I)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P))))), I))))), d(G, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J))))))), I))))), I))))), H))))), I))))))), I)))))), J)-[G=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, O))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), Q=d(2, d(R, T)), U=d(3, d(Q, V)), M=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, T))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), D=d(d(d(2, d(1, 2)), 1), Q), O=d(d(2, 1), 1), I=d(G, O), H=d(G, d(d(2, d(1, W)), V)), V=d(R, I), P=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), I)))), H)))), I)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), H)))), I), K=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(R, d(d(2, d(1, d(2, V))), O))), O), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(W, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), O))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(L, H)))), I)))))), I)))))), H)))), I))), O)))))]).
mm_proof(ad5ant13, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), H)))))), I))))), J))))), K))))), J))))), J))))), L))))), J))))))), J)))))), M)))))), L))))), J))))))), J)))))), M)))), H)))))), I))))), J))))), K))))), J))))), J))))), L))))), J))))))), J)))))), M)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), P=d(2, d(N, T)), U=d(3, d(P, V)), S=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), P), Q=d(d(2, 1), 1), J=d(G, Q), K=d(G, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), L)))), J)))))), J))))), M)), L=d(G, d(d(2, d(1, W)), V)), V=d(N, J), I=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), L)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), L)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(N, d(d(2, d(1, d(2, V))), Q))), Q), M=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), J))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, L)))), J)))))), J)))))), L)))), J))), Q)))))]).
mm_proof(ad5ant14, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), H)))))), I))))), J))))), K))))), J))))), J))))), L))))), J))))))), J)))))), M)))))), L))))), J))))))), J)))))), M)))), H)))))), I))))), J))))), d(G, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, H))))), I)))), J)))), K)))), J)))), J)))), L)))), J)))))), J))))), M))), H))))), I)))), d(G, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, R)), H))))), I)))), J)))), L)))), J)))))), J))))), M)))))), J))), R)), S))))))), J))))), J))))), L))))), J))))))), J)))))), M)-[G=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), Q=d(2, d(1, S)), N=d(2, d(O, V)), W=d(3, d(N, X)), U=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, V))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), S=d(d(2, 1), 1), J=d(G, S), K=d(G, R), L=d(G, d(d(2, d(1, Y)), X)), X=d(O, J), I=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), J)))), L)))), J)), V=d(d(2, d(1, d(2, d(d(2, d(1, Q)), L)))), J), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), L)))), J)))))), J))))), M), Y=d(d(2, d(O, d(d(2, d(1, d(2, X))), S))), S), M=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(G, Z))))), J))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), J)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), J))), S))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(T, L)))), J)))))), J)))))), L)))), J))), S)))))]).
mm_proof(ad5ant15, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), I))))), J))))), I))))), I))))), K))))), I))))))), I)))))), L)))), G)))))), H))))), I))))), J))))), I))))), I))))), K))))), I))))))), I)))))), L)))), G)))))), H))))), I))))), J))))), I))))), I))))), K))))), I))))))), I)))))), L)-[M=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), P=d(2, d(N, T)), U=d(3, d(P, V)), S=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, T))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), P), Q=d(d(2, 1), 1), I=d(M, Q), J=d(M, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), K)))), I)))))), I))))), L)), K=d(M, d(d(2, d(1, W)), V)), V=d(N, I), H=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), I)))), K)))), I)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), K)))), I), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(N, d(d(2, d(1, d(2, V))), Q))), Q), L=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, X))))), I))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), I)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), I))), Q))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, K)))), I)))))), I)))))), K)))), I))), Q)))))]).
mm_proof(ad5ant23, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), H)))))), I))))), J))))), d(G, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, N)), H))))), I)))), J)))), O)))), J)))))), J))))), P))))))), J))))), J))))), O))))), J))))))), J)))))), P)))))), O))))), J))))))), J)))))), P)))), H)))))), I))))), J))))), d(G, N)))))), J))))), J))))), O))))), J))))))), J)))))), P)-[G=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), K=d(2, d(L, T)), U=d(3, d(K, V)), S=d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), M), D=d(d(d(2, d(1, 2)), 1), K), Q=d(d(2, 1), 1), J=d(G, Q), O=d(G, d(d(2, d(1, W)), V)), V=d(L, J), I=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), O)))), J)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), O)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), O)))), J)))))), J))))), P), W=d(d(2, d(L, d(d(2, d(1, d(2, V))), Q))), Q), P=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), J))), Q))), d(3, d(K, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(R, O)))), J)))))), J)))))), O)))), J))), Q)))))]).
mm_proof(ad5ant24, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), H)))))), I))))), J))))), K))))), J))))), J))))), L))))), J))))))), J)))))), M)))))), L))))), J))))))), J)))))), M)))), H)))))), I))))), J))))), d(G, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, H))))), I)))), J)))), d(G, R))))), J)))), J)))), L)))), J)))))), J))))), M))), H))))), I)))), K)))), J))), R)), S))))))), J))))), J))))), L))))), J))))))), J)))))), M)-[G=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), Q=d(2, d(1, S)), N=d(2, d(O, V)), W=d(3, d(N, X)), U=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, V))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), S=d(d(2, 1), 1), J=d(G, S), K=d(G, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, R)), H))))), I)))), J)))), L)))), J)))))), J))))), M)), L=d(G, d(d(2, d(1, Y)), X)), X=d(O, J), I=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), J)))), L)))), J)), V=d(d(2, d(1, d(2, d(d(2, d(1, Q)), L)))), J), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), L)))), J)))))), J))))), M), Y=d(d(2, d(O, d(d(2, d(1, d(2, X))), S))), S), M=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(G, Z))))), J))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), J)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), J))), S))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(T, L)))), J)))))), J)))))), L)))), J))), S)))))]).
mm_proof(ad5ant25, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), I))))), d(J, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, N)), G))))), H)))), I)))), O)))), I)))))), I))))), P))))))), I))))), I))))), O))))), I))))))), I)))))), P)))), G)))))), H))))), I))))), Q))))), I))))), I))))), O))))), I))))))), I)))))), P)))), G)))))), H))))), I))))), Q))))), I))))), I))))), O))))), I))))))), I)))))), P)-[J=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, R))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), K=d(2, d(L, U)), V=d(3, d(K, W)), T=d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, U))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), M), D=d(d(d(2, d(1, 2)), 1), K), R=d(d(2, 1), 1), I=d(J, R), Q=d(J, N), O=d(J, d(d(2, d(1, X)), W)), W=d(L, I), H=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), I)))), O)))), I)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, R)))), O)))), I), Y=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), O)))), I)))))), I))))), P), X=d(d(2, d(L, d(d(2, d(1, d(2, W))), R))), R), P=d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(Y, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(J, Y))))), I))), d(d(2, d(1, T)), d(Y, d(d(3, d(3, d(1, Z))), Z))))))), I)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(X, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), I))), R))), d(3, d(K, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(S, O)))), I)))))), I)))))), O)))), I))), R)))))]).
mm_proof(adantl5r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H)))), G)))))), H)))), G)))))), H))))), I))))), d(J, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(J, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(J, O))))), I)))), I)))), P)))), I)))))), I))))), Q)))))), I)))), I)))), P)))), I)))))), I))))), Q))), G))))), H)))), d(J, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O)), G))))), H)))), I)))), P)))), I)))))), I))))), Q)))))), I))), O)), R))))))), I))))), I))))), P))))), I))))))), I)))))), Q))))), P))))), I))))))), I)))))), Q))))), P))))), I))))))), I)))))), Q)-[J=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, R))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, G))))), H)))), I)))), U=d(2, d(1, R)), K=d(2, d(L, V)), W=d(3, d(K, X)), T=d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, V))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), M), D=d(d(d(2, d(1, 2)), 1), K), R=d(d(2, 1), 1), I=d(J, R), P=d(J, d(d(2, d(1, Y)), X)), X=d(L, I), H=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), I)))), P)))), I)), V=d(d(2, d(1, d(2, d(d(2, d(1, U)), P)))), I), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), P)))), I)))))), I))))), Q), Y=d(d(2, d(L, d(d(2, d(1, d(2, X))), R))), R), Q=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(J, Z))))), I))), d(d(2, d(1, T)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), I)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), I))), R))), d(3, d(K, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(S, P)))), I)))))), I)))))), P)))), I))), R)))))]).
mm_proof(adantl6r, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H)))), G)))))), H)))), G)))))), H)))), G)))))), H))))), I))))), d(J, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(J, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(J, O))))), I)))), I)))), P)))), I)))))), I))))), Q)))))), I)))), I)))), P)))), I)))))), I))))), Q))), G))))), H)))), d(J, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O)), G))))), H)))), I)))), P)))), I)))))), I))))), Q)))))), I))), O)), R))))))), I))))), I))))), P))))), I))))))), I)))))), Q))))), P))))), I))))))), I)))))), Q))))), P))))), I))))))), I)))))), Q))))), P))))), I))))))), I)))))), Q)-[J=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, R))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, G))))), H)))), I)))), U=d(2, d(1, R)), K=d(2, d(L, V)), W=d(3, d(K, X)), T=d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, V))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), M), D=d(d(d(2, d(1, 2)), 1), K), R=d(d(2, 1), 1), I=d(J, R), P=d(J, d(d(2, d(1, Y)), X)), X=d(L, I), H=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), I)))), P)))), I)), V=d(d(2, d(1, d(2, d(d(2, d(1, U)), P)))), I), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), P)))), I)))))), I))))), Q), Y=d(d(2, d(L, d(d(2, d(1, d(2, X))), R))), R), Q=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(J, Z))))), I))), d(d(2, d(1, T)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), I)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), I))), R))), d(3, d(K, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(S, P)))), I)))))), I)))))), P)))), I))), R)))))]).
mm_proof('pm3.33', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, E))))), d(D, d(F, G))))), E)))), H)))), E)))))), E))))), d(d(d(2, d(1, I)), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(1, C), F=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), A=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), E))), I=d(3, d(A, J)), C=d(d(2, 1), 1), E=d(F, C), H=d(F, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, J))), C))), C))), J)), J=d(B, E)]).
mm_proof('pm3.34', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), D)))), E)))), D)))))), D))))), d(d(d(2, d(1, F)), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), E)))), D))), F=d(3, d(A, H)), C=d(d(2, 1), 1), D=d(G, C), E=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, H))), C))), C))), H)), H=d(B, D)]).
mm_proof(simpll, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), H))), d(d(2, d(1, I)), d(E, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))), H)))), d(G, D))))), H)))), H)))), M)))), H)))))), H))))), N)-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), I=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), H))), K=d(d(2, 1), 1), H=d(G, K), M=d(G, d(d(2, d(1, R)), Q)), Q=d(B, H), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), M)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), M)))), H), E=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), M)))), H)))))), H))))), N), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), K))), K), N=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(F, M)))), H)))))), H)))))), M)))), H))), K)))))]).
mm_proof(simplld, d(d(d(d(2, d(1, 2)), 1), A), A)-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(C, d(d(2, d(1, d(2, d(1, d(D, E))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), d(d(d(2, d(1, H)), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), D=d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), G)))), F))), H=d(3, d(D, I)), E=d(d(2, 1), 1), F=d(B, E), G=d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, I))), E))), E))), I)), I=d(C, F)]).
mm_proof(simplr, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, F)))), G)))))), G))))), H)))))), G)))), G)))), F)))), G)))))), G))))), H)-[E=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, I))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, M))))), G))), d(d(2, d(1, K)), d(M, d(d(3, d(3, d(1, N))), N))))))), G)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))), G)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), I=d(d(2, 1), 1), G=d(E, I), F=d(E, d(d(2, d(1, R)), Q)), Q=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), F)))), G), M=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), I))), I), H=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), I))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), I)))))]).
mm_proof(simplrd, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(d(C, D), D))))), A))-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(H, I))))), J=d(2, d(1, d(2, C))), K=d(2, d(1, I)), A=d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M)))), L)))))), L))))), N))), H=d(2, d(F, O)), P=d(3, d(H, Q)), R=d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, O))))), L))), I=d(d(2, 1), 1), L=d(E, I), M=d(E, d(d(2, d(1, S)), Q)), Q=d(F, L), T=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), L)))), M)))), L)), C=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T), O=d(d(2, d(1, d(2, d(d(2, d(1, K)), M)))), L), B=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, B))))), L))), d(d(2, d(1, R)), d(B, d(d(3, d(3, d(1, U))), U))))))), L)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), T)))), L)))), M)))), L)))))), L))))), N), S=d(d(2, d(F, d(d(2, d(1, d(2, Q))), I))), I), N=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(S, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), I))), d(3, d(H, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(J, M)))), L)))))), L)))))), M)))), L))), I)))))]).
mm_proof(simprl, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), E))))), F)))), G)))), H)))), G)))))), G))))), I))), E))))), F)))), d(J, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, D)))), H)))), G)))))), G))))), I))), E))))), F)))), G)))), H)))), G)))))), G))))), I)))))), G))), D)), K)-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), G))), K=d(d(2, 1), 1), G=d(J, K), H=d(J, d(d(2, d(1, Q)), P)), P=d(B, G), F=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G)))), H)))), G)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), H)))), G), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), I=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(J, R))))), G))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), G)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, H)))), G)))))), G)))))), H)))), G))), K)))))]).
mm_proof(simprld, d(A, d(A, d(2, d(1, d(B, d(d(C, D), D))))))-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(H, I))))), J=d(2, d(1, d(2, C))), K=d(2, d(1, I)), H=d(2, d(F, L)), M=d(3, d(H, N)), O=d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, L))))), P))), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), Q)))), P)))))), P))))), R)))), I=d(d(2, 1), 1), P=d(E, I), Q=d(E, d(d(2, d(1, S)), N)), N=d(F, P), T=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), P)))), Q)))), P)), C=d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T), L=d(d(2, d(1, d(2, d(d(2, d(1, K)), Q)))), P), B=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, B))))), P))), d(d(2, d(1, O)), d(B, d(d(3, d(3, d(1, U))), U))))))), P)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), T)))), P)))), Q)))), P)))))), P))))), R), S=d(d(2, d(F, d(d(2, d(1, d(2, N))), I))), I), R=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(S, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), I))), d(3, d(H, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(J, Q)))), P)))))), P)))))), Q)))), P))), I)))))]).
mm_proof(simprr, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), E)))))), E))))), G))), H))))), I)))), E)))), F)))), E)))))), E))))), G))))), F)))), E)))))), E))))), G))), H))))), I)))), E)))), F)))), E)))))), E))))), G)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, J))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(B, M)), N=d(3, d(A, O)), L=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, M))))), E))), J=d(d(2, 1), 1), E=d(D, J), F=d(D, d(d(2, d(1, P)), O)), O=d(B, E), I=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), E)))), F)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), F)))), E), Q=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(B, d(d(2, d(1, d(2, O))), J))), J), G=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(D, Q))))), E))), d(d(2, d(1, L)), d(Q, d(d(3, d(3, d(1, R))), R))))))), E)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(P, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), E))), J))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(K, F)))), E)))))), E)))))), F)))), E))), J)))))]).
mm_proof(simprrd, d(A, d(d(d(d(2, d(1, 2)), 1), B), d(A, B)))-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(F, G))))), H=d(2, d(1, d(2, I))), J=d(2, d(1, G)), B=d(2, d(1, d(K, d(d(I, L), L)))), F=d(2, d(D, M)), N=d(3, d(F, O)), P=d(3, d(F, d(d(2, d(1, d(2, d(D, d(E, M))))), Q))), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), R)))), Q)))))), Q))))), S)))), G=d(d(2, 1), 1), Q=d(C, G), R=d(C, d(d(2, d(1, T)), O)), O=d(D, Q), U=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), Q)))), R)))), Q)), I=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U), M=d(d(2, d(1, d(2, d(d(2, d(1, J)), R)))), Q), K=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(C, K))))), Q))), d(d(2, d(1, P)), d(K, d(d(3, d(3, d(1, V))), V))))))), Q)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), U)))), Q)))), R)))), Q)))))), Q))))), S), T=d(d(2, d(D, d(d(2, d(1, d(2, O))), G))), G), S=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), Q))), G))), d(3, d(F, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(H, R)))), Q)))))), Q)))))), R)))), Q))), G)))))]).
mm_proof(simplll, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), F)))))), F))))), G))), d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(J, H))))), F))), d(d(2, d(1, K)), d(H, d(d(3, d(3, d(1, L))), L))))))), F)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), F)))), D)))), F)))), F)))), E)))), F)))))), F))))), G)-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), F))), M=d(d(2, 1), 1), F=d(J, M), D=d(J, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), F)))))), F))))), G)), E=d(J, d(d(2, d(1, R)), Q)), Q=d(B, F), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), F)))), E)))), F)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), E)))), F), H=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), G=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), F))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(I, E)))), F)))))), F)))))), E)))), F))), M)))))]).
mm_proof(simpllr, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof(simplrl, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), I))))), J)))), G)))), F)))), G)))))), G))))), H)))))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), G))), K=d(d(2, 1), 1), G=d(D, K), F=d(D, d(d(2, d(1, Q)), P)), P=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G)))), F)))), G)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), F)))), G), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), H=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), G))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), G)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, F)))), G)))))), G)))))), F)))), G))), K)))))]).
mm_proof(simplrr, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), F)))))), F))))), G))), H))))), I)))), F)))), D)))), F)))), F)))), E)))), F)))))), F))))), G)-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), F))), K=d(d(2, 1), 1), F=d(J, K), D=d(J, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), F)))))), F))))), G))), H))))), I)))), F)))), E)))), F)))))), F))))), G)), E=d(J, d(d(2, d(1, Q)), P)), P=d(B, F), I=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), F)))), E)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), E)))), F), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), G=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(J, R))))), F))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), F)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), F))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, E)))), F)))))), F)))))), E)))), F))), K)))))]).
mm_proof(simprll, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), d(D, A))))), E))), F)), G)-[D=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), J=d(2, d(H, M)), N=d(3, d(J, O)), L=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, M))))), E))), G=d(d(2, 1), 1), E=d(D, G), P=d(D, d(d(2, d(1, Q)), O)), O=d(H, E), C=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), E)))), P)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), P)))), E), R=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), P)))), E)))))), E))))), S), A=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, F)))), P)))), E)))))), E))))), S))), B))))), C)))), E)))), P)))), E)))))), E))))), S), Q=d(d(2, d(H, d(d(2, d(1, d(2, O))), G))), G), S=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(D, R))))), E))), d(d(2, d(1, L)), d(R, d(d(3, d(3, d(1, T))), T))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(Q, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, P)))), E)))))), E)))))), P)))), E))), G)))))]).
mm_proof(simprlr, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J)))))), H))), E)), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof(simprrl, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), E)))))), E))))), G))))), F)))), E)))))), E))))), G))), H))))), I)))), E)))), F)))), E)))))), E))))), G))))), F)))), E)))))), E))))), G))), H))))), I)))), E)))), F)))), E)))))), E))))), G)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, J))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(B, M)), N=d(3, d(A, O)), L=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, M))))), E))), J=d(d(2, 1), 1), E=d(D, J), F=d(D, d(d(2, d(1, P)), O)), O=d(B, E), I=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), E)))), F)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), F)))), E), Q=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(B, d(d(2, d(1, d(2, O))), J))), J), G=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(D, Q))))), E))), d(d(2, d(1, L)), d(Q, d(d(3, d(3, d(1, R))), R))))))), E)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(P, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), E))), J))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(K, F)))), E)))))), E)))))), F)))), E))), J)))))]).
mm_proof(simprrr, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), E)))))), E))))), G))), H))))), I)))), E)))), F)))), E)))))), E))))), G))))), F)))), E)))))), E))))), G))), H))))), I)))), E)))), F)))), E)))))), E))))), G))))), F)))), E)))))), E))))), G))), H))))), I)))), E)))), F)))), E)))))), E))))), G)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, J))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(B, M)), N=d(3, d(A, O)), L=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, M))))), E))), J=d(d(2, 1), 1), E=d(D, J), F=d(D, d(d(2, d(1, P)), O)), O=d(B, E), I=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), E)))), F)))), E)), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), F)))), E), Q=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(B, d(d(2, d(1, d(2, O))), J))), J), G=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(D, Q))))), E))), d(d(2, d(1, L)), d(Q, d(d(3, d(3, d(1, R))), R))))))), E)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(P, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), E))), J))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(K, F)))), E)))))), E)))))), F)))), E))), J)))))]).
mm_proof('simp-4l', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, I))))), G))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof('simp-4r', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof('simp-5l', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, I))))), G))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof('simp-5r', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof('simp-6l', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, I))))), G))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof('simp-6r', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof('simp-7l', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, I))))), G))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof('simp-7r', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof('simp-8l', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, I))))), G))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof('simp-8r', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof('simp-9l', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, I))))), G))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof('simp-9r', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof('simp-10l', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, I))))), G))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof('simp-10r', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof('simp-11l', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, I))))), G))), d(d(2, d(1, K)), d(I, d(d(3, d(3, d(1, L))), L))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), N=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof('simp-11r', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, N)), O=d(3, d(A, P)), M=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, N))))), H))), K=d(d(2, 1), 1), H=d(D, K), I=d(D, d(d(2, d(1, Q)), P)), P=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), R=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), Q=d(d(2, d(B, d(d(2, d(1, d(2, P))), K))), K), J=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, R))))), H))), d(d(2, d(1, M)), d(R, d(d(3, d(3, d(1, S))), S))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(Q, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(L, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof('pm2.01da', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(A, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(D, F))))), H))), d(d(2, d(1, I)), d(F, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L))))), d(B, d(M, N))))))), K)-[N=d(1, K), D=d(2, d(1, 1)), B=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(O, K))))), C=d(2, d(1, d(2, P))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), O=d(2, d(B, Q)), R=d(3, d(O, P)), I=d(3, d(O, d(d(2, d(1, d(2, d(B, d(M, Q))))), H))), E=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), H=d(D, K), S=d(D, d(d(2, d(1, T)), P)), P=d(B, H), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), S)))), H)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), H), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(B, d(C, K))), K), J=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), H))), K))), d(3, d(O, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(B, d(M, d(d(2, d(1, d(2, d(G, S)))), H)))))), H)))))), S)))), H))), K)))))]).
mm_proof('pm2.18da', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), H))), d(d(2, d(1, I)), d(E, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L))))), K)-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, K))))), C=d(2, d(1, d(2, O))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), N=d(2, d(B, P)), Q=d(3, d(N, O)), I=d(3, d(N, d(d(2, d(1, d(2, d(B, d(M, P))))), H))), D=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), K=d(d(2, 1), 1), H=d(G, K), R=d(G, d(d(2, d(1, S)), O)), O=d(B, H), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), R)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), R)))), H), E=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(C, K))), K), J=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), H))), K))), d(3, d(N, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(B, d(M, d(d(2, d(1, d(2, d(F, R)))), H)))))), H)))))), R)))), H))), K)))))]).
mm_proof(impbida, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), G)))))), H))))), G)))))), H)))), I)-[F=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, I))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L=d(2, d(J, O)), P=d(3, d(L, Q)), M=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, O))))), H))), C=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B=d(d(d(2, d(1, 2)), 1), D), I=d(d(2, 1), 1), H=d(F, I), R=d(F, d(d(2, d(1, S)), Q)), Q=d(J, H), N=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), R)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), R)))), H), T=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(J, d(d(2, d(1, d(2, Q))), I))), I), G=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, T))))), H))), d(d(2, d(1, M)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), N), U=d(S, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), H))), I))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(E, R)))), H)))))), H)))))), R)))), H))), I)))))]).
mm_proof('pm5.21nd', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(E, d(d(d(d(2, d(1, 2)), 1), F), 1)))))), d(C, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(E, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(H, d(I, d(d(J, d(d(2, d(1, d(K, L))), d(K, M))), d(d(2, d(1, d(K, d(N, M)))), d(K, d(N, L))))))))))), O))))), O)))))))))), P)-[F=d(2, d(1, 1)), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, T)))), D=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, J))), W=d(2, d(1, d(2, K))), H=d(2, d(1, K)), X=d(2, d(1, d(K, d(d(J, N), N)))), Y=d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, Z))))), d(1, A1)))), B1=d(2, d(R, C1)), D1=d(3, d(B1, U)), E1=d(3, d(B1, d(d(2, d(1, d(2, d(R, d(S, C1))))), Z))), F1=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), Q), G1=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), S), C=d(d(d(2, d(1, 2)), 1), G1), P=d(d(2, 1), 1), H1=d(F, 1), Z=d(F, P), I1=d(F, J1), U=d(R, Z), K1=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), I1)))), Z)), J=d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1), A1=d(d(2, d(1, d(2, P))), Z), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), I1)))), Z), K=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, E1)), d(K, d(d(3, d(3, d(1, M1))), M1))), J1=d(d(2, d(1, N1)), U), N1=d(d(2, d(R, d(D, P))), P), T=d(B1, P), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, K))))), Z))), L1)))), Z)), P), O=d(G1, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(F1, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(F1, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(F1, d(B, d(F1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, 1)), d(K, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K1))))), I1))))), Z))), I=d(K, d(N, O1)), P1=d(K, O1), M1=d(N1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), Z))), P))), d(3, d(B1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, I1)))), Z)))))), Z)))))), I1)))), Z))), P))))), Q1=d(d(J, T), J1), O1=d(d(J, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, d(Q, d(2, d(1, L1)))))))), Z))), d(Q, H))))), Z)), P)), d(d(2, d(Q, d(d(2, d(1, d(2, d(1, J)))), d(Y, d(F, d(d(2, d(1, d(2, d(W, H1)))), Z)))))), d(Y, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), H1)))), Z))))), R1=d(I, d(d(J, d(d(2, d(1, d(K, S1))), d(K, T1))), d(d(2, d(1, d(K, d(N, T1)))), d(K, d(N, S1))))), U1=d(P1, d(1, d(N, Q1))), L=d(P1, d(1, d(N, d(d(J, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, d(R, d(H, R1))))))), Z))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(X, R1))))), Z)))), Z)))))), Z)), P)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, d(R, d(H, P))))))), Z))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(X, P))))), Z)))), Z)))))), Z)), P))))), S1=d(P1, d(1, Q1)), V1=d(P1, P), M=d(P1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(F, d(W, Z)))))), Z))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, H1)))), Z))), 1)))), Z))))), Z)), P)), T1=d(P1, d(I, d(d(J, d(d(2, d(1, d(K, V1))), d(K, U1))), d(d(2, d(1, d(K, d(N, U1)))), d(K, d(N, V1))))))]).
mm_proof('pm3.35', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(1, d(A, C))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), D)))), E)))), D)))))), D))))), d(d(d(2, d(1, F)), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), A=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), E)))), D))), F=d(3, d(A, H)), C=d(d(2, 1), 1), D=d(G, C), E=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, H))), C))), C))), H)), H=d(B, D)]).
mm_proof('pm5.74da', d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(2, d(1, F)))))))), G))), d(E, d(2, d(1, A))))))), G)), H)), d(d(2, d(E, d(d(2, d(1, d(2, d(1, B)))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J)))), G)))))), d(I, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), J)))), G))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, A))))), G))), F)))), G)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M))-[D=d(2, d(1, 1)), E=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, H))))), C=d(2, d(1, d(2, B))), I=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, G))))), d(1, Q)))), P=d(2, d(N, R)), S=d(3, d(P, T)), U=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, R))))), G))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), H=d(d(2, 1), 1), J=d(D, 1), G=d(D, H), V=d(D, d(d(2, d(1, W)), T)), T=d(N, G), M=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), V)))), G)), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M), Q=d(d(2, d(1, d(2, H))), G), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), V)))), G), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, X))), X))), W=d(d(2, d(N, d(d(2, d(1, d(2, T))), H))), H), X=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), G))), H))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(C, V)))), G)))))), G)))))), V)))), G))), H)))))]).
mm_proof(bitr, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(E, F))), d(G, d(d(H, d(d(2, d(1, d(E, I))), d(E, J))), d(d(2, d(1, d(E, d(K, J)))), d(E, d(K, I)))))))))), L)))), L)))), M)))), L)))))), L))))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, P))))), Q=d(2, d(1, d(2, H))), D=d(2, d(1, E)), R=d(2, d(1, G)), S=d(2, d(1, d(E, T))), U=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, L))))), d(1, V)))), A=d(2, d(B, W)), X=d(3, d(A, Y)), Z=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, W))))), L))), P=d(d(2, 1), 1), A1=d(N, 1), L=d(N, P), M=d(N, d(d(2, d(1, B1)), Y)), Y=d(B, L), H=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), M)))), L))), V=d(d(2, d(1, d(2, P))), L), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), M)))), L), E=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, Z)), d(E, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(B, d(d(2, d(1, d(2, Y))), P))), P), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(N, E))))), L))), C1)))), L)), P), G=d(E, E1), F1=d(E, G1), H1=d(E, I1), D1=d(B1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), P))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(Q, M)))), L)))))), L)))))), M)))), L))), P))))), E1=d(K, G1), T=d(K, I1), J1=d(d(H, d(R, d(E, K1))), d(d(2, d(1, d(E, d(K, K1)))), d(E, d(K, E1)))), G1=d(d(H, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(N, d(O, d(2, d(1, C1)))))))), L))), d(O, D))))), L)), P)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, H)))), d(U, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), A1)))), L)))))), d(U, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), A1)))), L))))), F=d(d(H, K), K), K1=d(d(H, d(G, d(d(H, d(d(2, d(1, d(E, L1))), H1)), d(S, d(E, d(K, L1)))))), d(G, d(d(H, d(d(2, d(1, d(E, M1))), H1)), d(S, d(E, d(K, M1)))))), I=d(F1, d(1, d(K, F))), M1=d(F1, d(1, T)), N1=d(F1, d(1, F)), L1=d(F1, d(1, I1)), I1=d(F1, P), O1=d(F1, d(G, d(d(H, d(d(2, d(1, d(E, J1))), F1)), d(R, d(E, d(K, J1)))))), J=d(F1, d(G, d(d(H, d(d(2, d(1, d(E, O1))), d(E, N1))), d(d(2, d(1, d(E, d(K, N1)))), d(E, d(K, O1))))))]).
mm_proof(biantr, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(E, d(d(F, G), G)))), d(H, d(d(F, d(d(2, d(1, d(E, I))), J)), d(K, d(E, d(G, I)))))))))), L)))), L)))), L)))), M)))), L)))))), L))))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, P))))), Q=d(2, d(1, d(2, F))), D=d(2, d(1, E)), K=d(2, d(1, H)), R=d(2, d(1, d(E, S))), T=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, L))))), d(1, U)))), A=d(2, d(B, V)), W=d(3, d(A, X)), Y=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, V))))), L))), P=d(d(2, 1), 1), Z=d(N, 1), L=d(N, P), M=d(N, d(d(2, d(1, A1)), X)), X=d(B, L), F=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), M)))), L))), U=d(d(2, d(1, d(2, P))), L), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), M)))), L), E=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, Y)), d(E, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(B, d(d(2, d(1, d(2, X))), P))), P), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(N, E))))), L))), B1)))), L)), P), H=d(E, D1), J=d(E, E1), F1=d(E, G1), C1=d(A1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), P))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(Q, M)))), L)))))), L)))))), M)))), L))), P))))), D1=d(G, E1), S=d(G, G1), I=d(d(F, d(K, d(E, H1))), d(d(2, d(1, d(E, d(G, H1)))), d(E, d(G, D1)))), E1=d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(N, d(O, d(2, d(1, B1)))))))), L))), d(O, D))))), L)), P)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, F)))), d(T, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), Z)))), L)))))), d(T, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Z)))), L))))), H1=d(d(F, d(H, d(d(F, d(d(2, d(1, d(E, I1))), F1)), d(R, d(E, d(G, I1)))))), d(H, d(d(F, d(d(2, d(1, d(E, J1))), F1)), d(R, d(E, d(G, J1)))))), J1=d(J, d(1, S)), I1=d(J, d(1, G1)), G1=d(J, P)]).
mm_proof('pm4.14', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, N))), P=d(2, d(1, d(2, A))), E=d(2, d(1, d(B, Q))), R=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, S))))), G))), M=d(2, d(K, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, T))))), S))), N=d(d(2, 1), 1), X=d(I, 1), S=d(I, N), Y=d(I, d(d(2, d(1, Z)), V)), V=d(K, S), A1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), Y)))), S)), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), H=d(O, S), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), Y)))), S), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, C1))), C1))), Z=d(d(2, d(K, d(d(2, d(1, d(2, V))), N))), N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, B))))), S))), B1)))), S)), N), C1=d(Z, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), S))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(P, Y)))), S)))))), S)))))), Y)))), S))), N))))), Q=d(F, D), D=d(d(A, d(d(2, d(1, d(2, d(R, d(I, d(d(2, d(1, d(2, d(1, d(d(2, G), d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), A1)))))), S)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(I, d(d(2, d(1, d(2, d(R, S)))), S)))))), S)))), Y)))), S)))))), S))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)), C=d(d(A, d(E, d(B, D1))), d(d(2, d(1, d(B, d(F, D1)))), d(B, d(F, Q)))), D1=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, B1)))))))), S))), d(J, d(2, d(1, B))))))), S)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, A)))), d(R, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), S)))))), d(R, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), X)))), S)))))), d(1, d(d(A, d(K, d(L, d(d(2, d(1, d(2, d(O, Y)))), S)))), 3)))]).
mm_proof('pm3.37', d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(E, d(A, d(F, C)))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, N))), P=d(2, d(1, d(2, B))), E=d(2, d(1, d(A, Q))), R=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, S))))), G))), M=d(2, d(K, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, T))))), S))), N=d(d(2, 1), 1), X=d(I, 1), S=d(I, N), Y=d(I, d(d(2, d(1, Z)), V)), V=d(K, S), A1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), Y)))), S)), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), H=d(O, S), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), Y)))), S), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, C1))), C1))), Z=d(d(2, d(K, d(d(2, d(1, d(2, V))), N))), N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, A))))), S))), B1)))), S)), N), C1=d(Z, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), S))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(P, Y)))), S)))))), S)))))), Y)))), S))), N))))), Q=d(F, D), D=d(d(B, d(d(2, d(1, d(2, d(R, d(I, d(d(2, d(1, d(2, d(1, d(d(2, G), d(A, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), A1)))))), S)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(I, d(d(2, d(1, d(2, d(R, S)))), S)))))), S)))), Y)))), S)))))), S))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)), C=d(d(B, d(E, d(A, D1))), d(d(2, d(1, d(A, d(F, D1)))), d(A, d(F, Q)))), D1=d(d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, B1)))))))), S))), d(J, d(2, d(1, A))))))), S)), N)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(R, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), S)))))), d(R, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), X)))), S)))))), d(1, d(d(B, d(K, d(L, d(d(2, d(1, d(2, d(O, Y)))), S)))), 3)))]).
mm_proof(anim12, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(2, d(1, d(d(2, d(1, d(2, d(1, d(D, E))))), F))))))), G)))), H)))))), H))))), I))), E))))), F)))), H)))), d(J, d(d(2, d(1, d(2, d(K, d(J, L))))), H)))))), H)))), H)))), G)))), H)))))), H))))), I))), E))))), F)))), d(J, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(d(2, d(1, d(2, d(K, d(J, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), E))))), F)))), H)))), G)))), H)))))), H))))), I)))))), H))))), G)))), H)))))), H))))), I))), E))))), F)))), H)))), G)))), H)))))), H))))), I)))))), H))), L)), M)-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), K=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), D=d(2, d(1, M)), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(J, M), G=d(J, d(d(2, d(1, S)), R)), R=d(B, H), F=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, H)))), G)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, D)), G)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), G)))), H)))))), H))))), I), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(J, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, G)))), H)))))), H)))))), G)))), H))), M)))))]).
mm_proof('pm3.4', d(A, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), E)))))), E))))), G))), d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(A, H))))), E))), d(d(2, d(1, J)), d(H, d(d(3, d(3, d(1, K))), K))))))), E)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), M)))), E)))), F)))), E)))))), E))))), G))-[A=d(2, d(1, 1)), C=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, d(B, L))))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), B=d(2, d(C, N)), O=d(3, d(B, P)), J=d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, N))))), E))), L=d(d(2, 1), 1), E=d(A, L), F=d(A, d(d(2, d(1, Q)), P)), P=d(C, E), M=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), E)))), F)))), E)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), E), H=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(C, d(d(2, d(1, d(2, P))), L))), L), G=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(Q, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), E))), L))), d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(I, F)))), E)))))), E)))))), F)))), E))), L)))))]).
mm_proof(exbiri, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, F))), d(2, d(1, d(F, d(d(G, H), H))))))))), I))))), I))))), J))))), I))))))), I)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))))), L)))), K)))))), L)-[M=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, N))))), O=d(2, d(1, d(2, G))), C=d(2, d(D, P)), Q=d(3, d(C, R)), S=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, P))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), I=d(M, N), J=d(M, d(d(2, d(1, T)), R)), R=d(D, I), L=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), I)))), J)))), I)), G=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), J)))), I), F=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(D, d(d(2, d(1, d(2, R))), N))), N), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(M, F))))), I))), d(d(2, d(1, S)), d(F, d(d(3, d(3, d(1, U))), U))))))), I)), N), K=d(F, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), N))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(O, J)))), I)))))), I)))))), J)))), I))), N)))))]).
mm_proof('pm2.61ian', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, D)))), d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), E), D))))-[F=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(E, I))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(G, M)), N=d(3, d(E, O)), K=d(3, d(E, d(d(2, d(1, d(2, d(G, d(H, M))))), P))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), P=d(F, I), Q=d(F, d(d(2, d(1, A)), O)), O=d(G, P), L=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), P)))), Q)))), P)), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), P), R=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(G, d(d(2, d(1, d(2, O))), I))), I), D=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, 1)), d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(F, R))))), P))), d(d(2, d(1, K)), d(R, d(d(3, d(3, d(1, S))), S))))))), P)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L), S=d(A, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), I))), d(3, d(E, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(J, Q)))), P)))))), P)))))), Q)))), P))), I)))))]).
mm_proof('pm2.61dan', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), D), E))))), d(B, d(d(d(d(2, d(1, 2)), 1), F), E)))))))), G)-[D=d(2, d(1, 1)), H=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(I, G))))), C=d(2, d(1, d(2, J))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), I=d(2, d(H, N)), O=d(3, d(I, J)), L=d(3, d(I, d(d(2, d(1, d(2, d(H, d(F, N))))), P))), Q=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), H), G=d(d(2, 1), 1), P=d(D, G), R=d(D, d(d(2, d(1, S)), J)), J=d(H, P), M=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), P)))), R)))), P)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), R)))), P), T=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(H, d(C, G))), G), E=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(D, T))))), P))), d(d(2, d(1, L)), d(T, d(d(3, d(3, d(1, U))), U))))))), P)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M), U=d(S, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), P))), G))), d(3, d(I, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(H, d(F, d(d(2, d(1, d(2, d(K, R)))), P)))))), P)))))), R)))), P))), G)))))]).
mm_proof('pm2.61ddan', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(E, d(F, d(G, d(H, I)))))), d(C, d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(K, d(B, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, P)))), d(Q, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), U)))))), U))))), W))))))), U))))), U))))), V))))), U))))))), U)))))), W)))), X)))))), Y)))))), d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(Z, d(d(2, d(1, d(2, d(1, d(Z, U))))), d(1, A1))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, P))), X)))))), Y))))))), U))))), V))))), U))))))), U)))))), W))))), V))))), U))))))), U)))))), W)))), X)))))), Y))))))))), B1))))), X))))))), Y)))))))))), B1)-[Q=d(2, d(1, 1)), Z=d(2, d(1, 2)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, B1))))), C1=d(2, d(1, d(2, D1))), E1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), R=d(2, d(S, G1)), H1=d(3, d(R, D1)), F1=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, G1))))), U))), L=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), M=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), Z), O=d(d(d(2, d(1, 2)), 1), S), J=d(d(d(2, d(1, 2)), 1), T), N=d(d(d(2, d(1, 2)), 1), R), K=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C1)), B1=d(d(2, 1), 1), U=d(Q, B1), V=d(Q, d(d(2, d(1, I1)), D1)), D1=d(S, U), Y=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), V)))), U)), A1=d(d(2, d(1, d(2, B1))), U), G1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B1)))), V)))), U), J1=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(S, d(C1, B1))), B1), I=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, 1)), X)))))), Y), P=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, I)))), U), W=d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(J1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(Q, J1))))), U))), d(d(2, d(1, F1)), d(J1, d(d(3, d(3, d(1, K1))), K1))))))), U)), B1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(I1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), U))), B1))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(E1, V)))), U)))))), U)))))), V)))), U))), B1)))))]).
mm_proof('pm2.61dda', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(B, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, O))))), d(1, P))))), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, Q))), R)))))), S))))))), O))))), T))))), O))))))), O)))))), U))))), T))))), O))))))), O)))))), U)))), R)))))), S)))))), d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, Q)))), d(V, d(d(2, d(1, d(3, d(W, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), T)))), O)))))), O))))), U))))))), O))))), O))))), T))))), O))))))), O)))))), U)))), R)))))), S))))))))), Z))))), R))))))), S))))))), d(L, d(M, A1))))))))), Z)-[V=d(2, d(1, 1)), N=d(2, d(1, 2)), X=d(2, d(1, 3)), Y=d(2, d(1, d(2, d(1, d(W, Z))))), B1=d(2, d(1, d(2, C1))), D1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), W=d(2, d(X, F1)), G1=d(3, d(W, C1)), E1=d(3, d(W, d(d(2, d(1, d(2, d(X, d(Y, F1))))), O))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), V), E=d(d(d(2, d(1, 2)), 1), N), L=d(d(d(2, d(1, 2)), 1), X), M=d(d(d(2, d(1, 2)), 1), Y), K=d(d(d(2, d(1, 2)), 1), W), G=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), C=d(d(d(2, d(1, 2)), 1), L), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B1)), Z=d(d(2, 1), 1), O=d(V, Z), T=d(V, d(d(2, d(1, H1)), C1)), C1=d(X, O), S=d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), T)))), O)), P=d(d(2, d(1, d(2, Z))), O), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Z)))), T)))), O), I1=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(X, d(B1, Z))), Z), A1=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), R)))))), S), Q=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, A1)))), O), U=d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(I1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(V, I1))))), O))), d(d(2, d(1, E1)), d(I1, d(d(3, d(3, d(1, J1))), J1))))))), O)), Z), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(H1, d(d(2, d(1, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), O))), Z))), d(3, d(W, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(D1, T)))), O)))))), O)))))), T)))), O))), Z)))))]).
mm_proof(mtand, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(L, J))))), M))), d(d(2, d(1, N)), d(J, d(d(3, d(3, d(1, O))), O))))))), M)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))))), R))))), M)))))))), L)))))), d(S, d(H, T)))))))), P)-[T=d(1, P), L=d(2, d(1, 1)), S=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(U, P))))), D=d(2, d(1, d(2, V))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), U=d(2, d(S, W)), X=d(3, d(U, V)), N=d(3, d(U, d(d(2, d(1, d(2, d(S, d(H, W))))), M))), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), S), B=d(d(d(2, d(1, 2)), 1), G), P=d(d(2, 1), 1), M=d(L, P), R=d(L, d(d(2, d(1, Y)), V)), V=d(S, M), Q=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), M)))), R)))), M)), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), R)))), M), J=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(S, d(D, P))), P), O=d(Y, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), M))), P))), d(3, d(U, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(S, d(H, d(d(2, d(1, d(2, d(K, R)))), M)))))), M)))))), R)))), M))), P)))))]).
mm_proof('pm2.65da', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(G, d(E, d(F, d(C, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, J)))), K))))), L)))))))), J)))))), d(M, d(H, N)))))))), O)-[N=d(1, O), P=d(2, d(1, 1)), M=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(Q, O))))), D=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), Q=d(2, d(M, V)), W=d(3, d(Q, R)), T=d(3, d(Q, d(d(2, d(1, d(2, d(M, d(H, V))))), L))), I=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), C=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), L=d(P, O), K=d(P, d(d(2, d(1, X)), R)), R=d(M, L), U=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), L)))), K)))), L)), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), L), Y=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(M, d(D, O))), O), J=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(I, d(G, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(Y, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(P, Y))))), L))), d(d(2, d(1, T)), d(Y, d(d(3, d(3, d(1, Z))), Z))))))), L)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), U), Z=d(X, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), O))), d(3, d(Q, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(M, d(H, d(d(2, d(1, d(2, d(S, K)))), L)))))), L)))))), K)))), L))), O)))))]).
mm_proof(condan, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, A)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(H, d(F, d(G, d(D, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(J, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(J, d(H, K)))), L))))), M)))))))), K)))))), d(N, d(I, O)))))))), P))-[O=d(1, P), Q=d(2, d(1, 1)), N=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(R, P))))), E=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), R=d(2, d(N, W)), X=d(3, d(R, S)), U=d(3, d(R, d(d(2, d(1, d(2, d(N, d(I, W))))), M))), J=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), G=d(d(d(2, d(1, 2)), 1), Q), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), D=d(d(d(2, d(1, 2)), 1), N), C=d(d(d(2, d(1, 2)), 1), H), P=d(d(2, 1), 1), M=d(Q, P), L=d(Q, A), S=d(N, M), V=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), M)))), L)))), M)), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), L)))), M), Y=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, Z)), S), Z=d(d(2, d(N, d(E, P))), P), K=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(J, d(H, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), d(Y, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(Q, Y))))), M))), d(d(2, d(1, U)), d(Y, d(d(3, d(3, d(1, A1))), A1))))))), M)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), V), A1=d(Z, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), M))), P))), d(3, d(R, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(N, d(I, d(d(2, d(1, d(2, d(T, L)))), M)))))), M)))))), L)))), M))), P)))))]).
mm_proof(biadan, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, d(2, B))), M=d(2, d(1, N)), O=d(2, d(1, B)), P=d(2, d(1, Q)), R=d(2, d(1, S)), T=d(2, d(1, U)), V=d(2, d(1, d(B, d(E, W)))), X=d(2, d(1, Y)), Z=d(2, d(1, A1)), B1=d(2, d(1, C1)), D1=d(2, d(1, d(B, E1))), F1=d(2, d(1, d(B, G1))), H1=d(2, d(1, d(B, I1))), J1=d(2, d(1, K1)), L1=d(2, d(1, d(B, M1))), N1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, O1))))), d(1, P1)))), Q1=d(2, d(H, R1)), S1=d(3, d(Q1, T1)), U1=d(3, d(Q1, d(d(2, d(1, d(2, d(H, d(I, R1))))), O1))), N=d(d(2, 1), 1), V1=d(F, 1), O1=d(F, N), W1=d(F, X1), T1=d(H, O1), Y1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P1))), W1)))), O1)), A=d(d(2, d(1, d(2, d(1, d(U1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y1), P1=d(d(2, d(1, d(2, N))), O1), R1=d(d(2, d(1, d(2, d(d(2, d(1, M)), W1)))), O1), Z1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, A2))))), Y1)))), O1), B=d(d(2, d(1, S1)), d(S1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B2=d(d(2, d(1, U1)), C2), D2=d(d(2, d(1, d(3, d(Q1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), W1)))), O1)))))), O1))))), E2), F2=d(d(2, d(1, d(3, d(Q1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z1))), W1)))), O1)))))), O1))))), E2), X1=d(d(2, d(1, G2)), T1), G2=d(d(2, d(H, d(d(2, d(1, d(2, T1))), N))), N), J=d(Q1, N), H2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(1, D2)))))), O1))), Z1)))), O1)), N), I2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(L, O1)))))), O1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, V1)))), O1))), 1)))), O1))))), O1)), N), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), O1))), B2)))), O1)), N), J2=d(d(3, d(3, d(1, K2))), K2), E2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C2=d(B, J2), L2=d(B, M2), A2=d(B, N2), O2=d(B, P2), Q2=d(B, d(E, R2)), S2=d(B, d(E, T2)), Q=d(B, d(E, U2)), S=d(B, R2), V2=d(B, W2), U=d(B, X2), Y2=d(B, d(E, Z2)), A3=d(B, d(E, E1)), B3=d(B, d(E, G1)), C3=d(B, d(E, I1)), Y=d(B, d(E, D3)), A1=d(B, d(E, E3)), F3=d(B, G3), H3=d(B, I3), J3=d(B, T2), K3=d(B, L3), M3=d(B, N3), C1=d(B, O3), P3=d(B, W), Q3=d(B, Z2), R3=d(B, D3), S3=d(B, E3), K1=d(B, T3), K2=d(G2, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W1)))), O1))), N))), d(3, d(Q1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, W1)))), O1)))))), O1)))))), W1)))), O1))), N))))), M2=d(G2, d(d(2, d(1, d(S, d(d(A, d(J1, d(B, U3))), d(d(2, d(1, d(B, d(E, U3)))), F3))))), d(3, d(Q1, d(S, d(d(A, d(L1, d(B, V3))), d(d(2, d(1, d(B, d(E, V3)))), H3))))))), W3=d(H2, D2), N2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P2=d(E, M2), X3=d(E, d(d(A, d(d(2, d(1, A2)), C2)), d(d(2, d(1, d(B, d(E, J2)))), d(B, d(E, N2))))), Y3=d(E, d(d(A, d(d(2, d(1, O2)), d(B, Z3))), d(d(2, d(1, d(B, d(E, Z3)))), d(B, d(E, P2))))), A4=d(E, d(d(A, d(d(2, d(1, d(B, B4))), C1)), d(T, d(B, d(E, B4))))), C4=d(E, d(d(A, d(d(2, d(1, d(B, D4))), P3)), d(V, d(B, d(E, D4))))), E4=d(E, d(d(A, d(d(2, d(1, d(B, U2))), d(B, F4))), d(d(2, d(1, d(B, d(E, F4)))), Q))), F4=d(E, d(d(A, d(d(2, d(1, d(B, G4))), d(B, H4))), d(d(2, d(1, d(B, I4))), d(B, d(E, G4))))), I4=d(E, H4), R2=d(E, L3), W2=d(E, N3), X2=d(E, O3), J4=d(E, d(d(A, d(S, d(d(A, d(H1, S3)), d(Z, C3)))), d(S, d(d(A, d(d(2, d(1, Q3)), S3)), d(Z, Y2))))), G3=d(E, T3), I3=d(E, M1), K4=d(d(A, F2), F2), L4=d(d(A, d(d(2, d(1, d(B, X3))), d(B, W3))), d(d(2, d(1, d(B, d(E, W3)))), d(B, d(E, X3)))), B4=d(d(A, d(d(2, d(1, d(B, Y3))), d(B, M4))), d(d(2, d(1, d(B, d(E, M4)))), d(B, d(E, Y3)))), C=d(d(A, d(d(2, d(1, d(B, A4))), C1)), d(T, d(B, d(E, A4)))), N4=d(d(A, d(d(2, d(1, d(B, C4))), d(B, O4))), d(d(2, d(1, d(B, d(E, O4)))), d(B, d(E, C4)))), P4=d(d(A, d(R, d(B, Q4))), d(d(2, d(1, d(B, d(E, Q4)))), Q2)), R4=d(d(A, d(R, d(B, S4))), d(d(2, d(1, d(B, d(E, S4)))), Q2)), T4=d(d(A, d(d(2, d(1, d(B, J4))), M3)), d(d(2, d(1, V2)), d(B, d(E, J4)))), U4=d(d(A, d(d(2, d(1, d(B, L4))), d(B, V4))), d(d(2, d(1, d(B, d(E, V4)))), d(B, d(E, L4)))), M4=d(d(A, d(d(2, d(1, J3)), d(B, W4))), d(d(2, d(1, d(B, d(E, W4)))), S2)), O4=d(d(A, d(d(2, d(1, d(B, X4))), d(B, Y4))), d(d(2, d(1, d(B, d(E, Y4)))), d(B, d(E, X4)))), D4=d(d(A, d(d(2, d(1, d(B, Z4))), C1)), d(T, d(B, d(E, Z4)))), T2=d(d(A, d(d(2, d(1, d(B, A5))), C1)), d(T, d(B, d(E, A5)))), X4=d(d(A, d(d(2, d(1, M3)), K3)), d(R, V2)), U2=d(d(A, d(B1, d(B, T4))), d(d(2, d(1, d(B, d(E, T4)))), U)), Z4=d(d(A, d(B1, P3)), d(V, U)), A5=d(d(A, d(B1, d(B, B5))), d(d(2, d(1, d(B, d(E, B5)))), U)), D=d(d(A, d(d(2, d(1, d(B, C5))), d(B, U4))), d(d(2, d(1, d(B, d(E, U4)))), d(B, d(E, C5)))), H4=d(d(A, J), X1), L3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, B2)))))))), O1))), d(G, O))))), O1)), N)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(N1, d(F, d(d(2, d(1, d(2, d(L, V1)))), O1)))))), d(N1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B2))), V1)))), O1))))), N3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(O, D5))))))), O1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(B1, D5))))), O1)))), O1)))))), O1)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(O, N))))))), O1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(B1, N))))), O1)))), O1)))))), O1)), N)), O3=d(d(A, E), E), W=d(d(A, d(S, d(d(A, d(d(2, d(1, d(B, E5))), S3)), d(Z, d(B, d(E, E5)))))), d(S, d(d(A, d(d(2, d(1, d(B, F5))), S3)), d(Z, d(B, d(E, F5)))))), C5=d(d(A, d(S, d(d(A, d(F1, S3)), d(Z, B3)))), d(S, d(d(A, d(d(2, d(1, d(B, G5))), S3)), d(Z, d(B, d(E, G5)))))), W4=d(d(A, d(S, d(d(A, d(d(2, d(1, d(B, H5))), S3)), d(Z, d(B, d(E, H5)))))), d(S, d(d(A, d(d(2, d(1, d(B, I5))), S3)), d(Z, d(B, d(E, I5)))))), B5=d(d(A, d(S, d(d(A, d(d(2, d(1, R3)), S3)), d(Z, Y)))), d(S, d(d(A, d(D1, S3)), d(Z, A3)))), Q4=d(d(A, d(S, d(d(A, d(d(2, d(1, d(B, J5))), S3)), d(Z, d(B, d(E, J5)))))), d(S, d(d(A, d(d(2, d(1, d(B, K5))), S3)), d(Z, d(B, d(E, K5)))))), S4=d(d(A, d(S, d(d(A, d(d(2, d(1, d(B, L5))), S3)), d(Z, d(B, d(E, L5)))))), d(S, d(d(A, d(d(2, d(1, d(B, M5))), S3)), d(Z, d(B, d(E, M5)))))), Z3=d(L2, d(d(A, d(d(2, d(1, L2)), J3)), d(d(2, d(1, S2)), O2))), N5=d(S, d(d(A, d(d(2, d(1, d(B, O5))), K1)), d(d(2, d(1, F3)), d(B, d(E, O5))))), D5=d(S, d(d(A, d(H1, d(B, P5))), d(d(2, d(1, d(B, d(E, P5)))), C3))), E5=d(K3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F5=d(K3, d(1, N2)), G5=d(K3, d(1, d(E, K4))), I5=d(K3, d(1, d(E, N4))), Q5=d(K3, d(1, d(E, d(d(A, d(d(2, d(1, d(B, E4))), U)), d(d(2, d(1, d(B, d(E, X2)))), d(B, d(E, E4))))))), Z2=d(K3, d(1, I4)), O5=d(K3, d(1, W2)), E1=d(K3, d(1, X2)), K5=d(K3, d(1, G3)), M5=d(K3, d(1, I3)), G1=d(K3, d(1, K4)), H5=d(K3, d(1, N4)), I1=d(K3, d(1, H4)), Y4=d(K3, d(1, N3)), D3=d(K3, d(1, O3)), J5=d(K3, d(1, T3)), L5=d(K3, d(1, M1)), E3=d(K3, N), R5=d(K3, d(B1, d(P, d(B1, I2)))), S5=d(K3, d(B1, d(P, d(B1, N5)))), U3=d(K3, d(B1, d(S, d(d(A, d(D1, d(B, T5))), d(d(2, d(1, d(B, d(E, T5)))), A3))))), V3=d(K3, d(B1, d(S, d(d(A, d(d(2, d(1, d(B, U5))), d(B, Q5))), d(d(2, d(1, d(B, d(E, Q5)))), d(B, d(E, U5))))))), V5=d(K3, H2), T3=d(K3, I2), W5=d(K3, d(S, d(d(A, d(d(2, d(1, d(B, P4))), K3)), d(R, d(B, d(E, P4)))))), X5=d(K3, d(S, d(d(A, d(d(2, d(1, d(B, R4))), K3)), d(R, d(B, d(E, R4)))))), M1=d(K3, N5), U5=d(K3, d(S, d(d(A, d(D1, d(B, Y5))), d(d(2, d(1, d(B, d(E, Y5)))), A3)))), V4=d(K3, d(S, d(d(A, d(F1, d(B, V5))), d(d(2, d(1, d(B, d(E, V5)))), B3)))), P5=d(K3, d(S, d(d(A, d(d(2, d(1, S3)), Q3)), d(d(2, d(1, Y2)), A1)))), T5=d(K3, d(S, d(d(A, d(d(2, d(1, d(B, W5))), R3)), d(X, d(B, d(E, W5)))))), Y5=d(K3, d(S, d(d(A, d(d(2, d(1, d(B, X5))), R3)), d(X, d(B, d(E, X5)))))), G4=d(M3, d(E, d(G2, d(d(2, d(1, d(B1, d(S, d(d(A, d(J1, d(B, R5))), d(d(2, d(1, d(B, d(E, R5)))), F3)))))), d(3, d(Q1, d(B1, d(S, d(d(A, d(L1, d(B, S5))), d(d(2, d(1, d(B, d(E, S5)))), H3))))))))))]).
mm_proof('pm5.1', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, D)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, D))), G)))))), G))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, 1))))), G))), 1)))), G))))), G)), H))))), I)))), G)))))), G))))), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[F=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, H))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, J))))), G))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), G)))), I)))), G)))))), A=d(2, d(B, J)), K=d(3, d(A, L)), H=d(d(2, 1), 1), G=d(F, H), I=d(F, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, L))), H))), H))), L)), L=d(B, G), J=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), I)))), G), D=d(d(2, d(1, K)), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof('pm5.21', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, d(d(F, d(d(2, d(1, d(G, H))), d(G, I))), d(d(2, d(1, d(G, d(J, I)))), d(G, d(J, H))))))))), K)))), L)))))), L))))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, F))), Q=d(2, d(1, d(2, G))), D=d(2, d(1, G)), R=d(2, d(1, d(G, d(d(F, J), J)))), S=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, L))))), d(1, T)))), A=d(2, d(B, U)), V=d(3, d(A, W)), X=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, U))))), L))), Y=d(d(2, 1), 1), Z=d(M, 1), L=d(M, Y), K=d(M, A1), W=d(B, L), F=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), K)))), L))), T=d(d(2, d(1, d(2, Y))), L), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), K)))), L), G=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(G, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), W), D1=d(d(2, d(B, d(d(2, d(1, d(2, W))), Y))), Y), O=d(A, Y), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, G))))), L))), B1)))), L)), Y), E=d(G, d(J, E1)), F1=d(G, E1), C1=d(D1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), Y))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, K)))), L)))))), L)))))), K)))), L))), Y))))), G1=d(d(F, O), A1), E1=d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(N, d(2, d(1, B1)))))))), L))), d(N, D))))), L)), Y)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, F)))), d(S, d(M, d(d(2, d(1, d(2, d(Q, Z)))), L)))))), d(S, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Z)))), L))))), H1=d(E, d(d(F, d(d(2, d(1, d(G, I1))), d(G, J1))), d(d(2, d(1, d(G, d(J, J1)))), d(G, d(J, I1))))), K1=d(F1, d(1, d(J, G1))), H=d(F1, d(1, d(J, d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(B, d(D, H1))))))), L))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(R, H1))))), L)))), L)))))), L)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(B, d(D, Y))))))), L))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(R, Y))))), L)))), L)))))), L)), Y))))), I1=d(F1, d(1, G1)), L1=d(F1, Y), I=d(F1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(Q, L)))))), L))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, Z)))), L))), 1)))), L))))), L)), Y)), J1=d(F1, d(E, d(d(F, d(d(2, d(1, d(G, L1))), d(G, K1))), d(d(2, d(1, d(G, d(J, K1)))), d(G, d(J, L1))))))]).
mm_proof('pm5.35', d(d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), E)))), D)), F), d(d(G, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(H, d(2, d(1, E)))))))), D))), d(H, I))))), D)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, G)))), d(J, d(C, d(d(2, d(1, d(2, d(K, L)))), D)))))), d(J, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), L)))), D))))))))), d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(K, D)))))), D))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, L)))), D))), 1)))), D))))), D)), F))))), P)))), D)))))), D))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))-[C=d(2, d(1, 1)), H=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, F))))), B=d(2, d(1, d(2, G))), K=d(2, d(1, d(2, A))), I=d(2, d(1, A)), J=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, D))))), d(1, Q)))), M=d(2, d(N, R)), S=d(3, d(M, T)), U=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, R))))), D))), F=d(d(2, 1), 1), L=d(C, 1), D=d(C, F), P=d(C, d(d(2, d(1, V)), T)), T=d(N, D), G=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), P)))), D))), Q=d(d(2, d(1, d(2, F))), D), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), P)))), D), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, W))), W))), V=d(d(2, d(N, d(d(2, d(1, d(2, T))), F))), F), W=d(V, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), D))), F))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(B, P)))), D)))))), D)))))), P)))), D))), F)))))]).
mm_proof(abai, d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, I))))), J))), K)))), J)), L)))-[I=d(1, 1), H=d(2, I), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, P)))), G=d(2, d(1, d(2, B))), Q=d(2, d(1, A)), R=d(2, d(1, d(A, d(E, S)))), T=d(2, d(1, U)), F=d(2, d(1, V)), W=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, J))))), d(1, K)))), X=d(2, d(N, Y)), Z=d(3, d(X, A1)), B1=d(3, d(X, d(d(2, d(1, d(2, d(N, d(O, Y))))), J))), L=d(d(2, 1), 1), C1=d(H, 1), J=d(H, L), D1=d(H, E1), A1=d(N, J), B=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), D1)))), J))), K=d(d(2, d(1, d(2, L))), J), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), D1)))), J), A=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, B1)), d(A, d(d(3, d(3, d(1, G1))), G1))), E1=d(d(2, d(1, H1)), A1), H1=d(d(2, d(N, d(d(2, d(1, d(2, A1))), L))), L), P=d(X, L), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, A))))), J))), F1)))), J)), L), I1=d(A, d(E, J1)), K1=d(A, d(E, L1)), U=d(A, d(E, M1)), N1=d(A, J1), V=d(A, L1), O1=d(A, S), P1=d(A, M1), G1=d(H1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), J))), L))), d(3, d(X, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(G, D1)))), J)))))), J)))))), D1)))), J))), L))))), C=d(E, d(d(B, d(d(2, d(1, d(A, Q1))), O1)), d(R, d(A, d(E, Q1))))), D=d(d(B, d(d(2, d(1, d(A, R1))), d(A, S1))), d(d(2, d(1, d(A, d(E, S1)))), d(A, d(E, R1)))), Q1=d(d(B, d(d(2, d(1, d(A, T1))), V)), d(d(2, d(1, K1)), d(A, d(E, T1)))), R1=d(d(B, d(d(2, d(1, d(A, U1))), N1)), d(d(2, d(1, I1)), d(A, d(E, U1)))), T1=d(d(B, d(F, O1)), d(R, K1)), V1=d(d(B, P), E1), J1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, d(M, d(2, d(1, F1)))))))), J))), d(M, Q))))), J)), L)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, B)))), d(W, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), C1)))), J)))))), d(W, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), C1)))), J))))), U1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, d(N, d(Q, W1))))))), J))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(F, W1))))), J)))), J)))))), J)), L)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, d(N, d(Q, L))))))), J))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(F, L))))), J)))), J)))))), J)), L)), L1=d(d(B, E), E), S=d(d(B, d(I1, d(d(B, d(d(2, d(1, d(A, X1))), P1)), d(T, d(A, d(E, X1)))))), d(I1, d(d(B, d(d(2, d(1, d(A, Y1))), P1)), d(T, d(A, d(E, Y1)))))), W1=d(I1, d(d(B, d(d(2, d(1, d(A, Z1))), d(A, A2))), d(d(2, d(1, d(A, d(E, A2)))), d(A, d(E, Z1))))), X1=d(N1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y1=d(N1, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), B2=d(N1, d(1, d(E, V1))), Z1=d(N1, d(1, V1)), S1=d(N1, d(1, U1)), M1=d(N1, L), A2=d(N1, d(I1, d(d(B, d(d(2, d(1, P1)), d(A, B2))), d(d(2, d(1, d(A, d(E, B2)))), U))))]).
mm_proof('pm4.45im', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), 1)-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, B))), M=d(2, d(1, K)), N=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, O))))), d(1, P)))), J=d(2, d(H, Q)), R=d(3, d(J, S)), T=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, Q))))), O))), K=d(d(2, 1), 1), U=d(F, 1), O=d(F, K), V=d(F, d(d(2, d(1, W)), S)), S=d(H, O), X=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), V)))), O)), B=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), P=d(d(2, d(1, d(2, K))), O), Q=d(d(2, d(1, d(2, d(d(2, d(1, M)), V)))), O), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, Z))))), X)))), O), A=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, T)), B1), C1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), O)))))), O))))), D1), E1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), O)))))), O))))), D1), W=d(d(2, d(H, d(d(2, d(1, d(2, S))), K))), K), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(1, C1)))))), O))), Y)))), O)), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, A))))), O))), A1)))), O)), K), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(A, G1), Z=d(A, I1), J1=d(A, K1), H1=d(W, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), O))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, V)))), O)))))), O)))))), V)))), O))), K))))), L1=d(F1, C1), I1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(E, d(d(B, d(d(2, d(1, Z)), B1)), d(d(2, d(1, d(A, d(E, G1)))), d(A, d(E, I1))))), C=d(d(B, d(d(2, d(1, d(A, M1))), d(A, L1))), d(d(2, d(1, d(A, d(E, L1)))), d(A, d(E, M1)))), K1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(G, d(2, d(1, A1)))))))), O))), d(G, d(2, d(1, A))))))), O)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), U)))), O)))))), d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), U)))), O))))), N1=d(J1, d(1, d(d(B, E1), E1))), O1=d(J1, F1), D=d(J1, d(d(A, d(E, K1)), d(d(B, d(d(2, d(1, d(A, N1))), d(A, O1))), d(d(2, d(1, d(A, d(E, O1)))), d(A, d(E, N1))))))]).
mm_proof(impimprbi, d(d(A, d(d(2, d(1, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, E)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(H, I)))))), I))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, 1))))), I))), 1)))), I))))), I)), J))))), K)))), I)))))), I))))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(E, d(d(A, d(d(2, d(1, d(E, L))), M)), d(d(2, d(1, d(E, d(N, O)))), d(E, d(N, L))))))), d(d(2, d(C, d(P, d(d(2, d(d(2, d(1, 2)), d(G, d(d(2, d(1, d(2, d(F, I)))), Q)))), d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(D, d(G, d(C, d(G, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, 1))))), K)))), I))), J))))))))), I)))), d(C, d(D, d(d(2, d(1, d(2, d(H, K)))), I)))))))))), J))-[G=d(2, d(1, 1)), C=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, d(B, J))))), P=d(2, d(1, d(2, R))), F=d(2, d(1, d(2, A))), H=d(2, d(1, d(2, E))), B=d(2, d(C, S)), T=d(3, d(B, R)), U=d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, S))))), I))), J=d(d(2, 1), 1), I=d(G, J), K=d(G, d(d(2, d(1, V)), R)), R=d(C, I), A=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), K)))), I))), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), K)))), I), E=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(1, U)), M), V=d(d(2, d(C, d(P, J))), J), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), I))), Q)))), I)), J), O=d(d(3, d(3, d(1, W))), W), M=d(E, O), W=d(V, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), I))), J))), d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(F, K)))), I)))))), I)))))), K)))), I))), J))))), L=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof(nan, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, B))), N=d(2, d(1, C)), O=d(2, d(1, d(C, d(d(B, A), A)))), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), F))), R=d(2, d(J, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), W=d(d(2, 1), 1), X=d(H, 1), Q=d(H, W), Y=d(H, Z), U=d(J, Q), A1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), Y)))), Q)), B=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), G=d(d(2, d(1, d(2, W))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Y)))), Q), C=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, V)), d(C, d(d(3, d(3, d(1, C1))), C1))), Z=d(d(2, d(1, D1)), U), D1=d(d(2, d(J, d(d(2, d(1, d(2, U))), W))), W), L=d(R, W), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, C))))), Q))), B1)))), Q)), W), E1=d(C, d(A, F1)), G1=d(C, F1), C1=d(D1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), Q))), W))), d(3, d(R, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, Y)))), Q)))))), Q)))))), Y)))), Q))), W))))), H1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(A, J1), E=d(d(B, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(1, d(d(2, F), d(C, H1)))))), A1)))))), Q)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(P, Q)))), Q)))))), Q)))), Y)))), Q)))))), Q))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)), J1=d(d(B, L), Z), F1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, B1)))))))), Q))), d(I, N))))), Q)), W)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), X)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), X)))), Q))))), K1=d(E1, d(d(B, d(d(2, d(1, d(C, L1))), d(C, M1))), d(d(2, d(1, d(C, d(A, M1)))), d(C, d(A, L1))))), N1=d(G1, d(1, I1)), D=d(G1, d(1, d(d(B, d(d(2, d(1, d(C, O1))), d(C, J1))), d(d(2, d(1, d(C, I1))), d(C, d(A, O1)))))), L1=d(G1, d(1, J1)), P1=d(G1, W), M1=d(G1, d(E1, d(d(B, d(d(2, d(1, d(C, P1))), d(C, N1))), d(d(2, d(1, d(C, d(A, N1)))), d(C, d(A, P1)))))), O1=d(d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, K1))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, K1))))), Q)))), Q)))))), Q)), W)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(N, W))))))), Q))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(O, W))))), Q)))), Q)))))), Q)), W))), H1)]).
mm_proof('pm5.31', d(d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(A, B))))), C))))), d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, G)), B))))), C)))), H)))), I)))), H)))))), H))))), J)))), d(K, G))-[K=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), A=d(2, d(1, L)), D=d(2, d(E, O)), P=d(3, d(D, Q)), N=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, O))))), H))), L=d(d(2, 1), 1), H=d(K, L), I=d(K, d(d(2, d(1, R)), Q)), Q=d(E, H), C=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), I)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, A)), I)))), H), S=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G=d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), R=d(d(2, d(E, d(d(2, d(1, d(2, Q))), L))), L), J=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(K, S))))), H))), d(d(2, d(1, N)), d(S, d(d(3, d(3, d(1, T))), T))))))), H)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(R, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), L))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(M, I)))), H)))))), H)))))), I)))), H))), L)))))]).
mm_proof('pm5.31r', d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(2, d(1, d(d(2, d(1, d(2, d(1, d(D, E))))), F))))))), G)))), H)))))), H))))), I))), E))))), F)))), H)))), d(J, 1))))), H)))), H)))), G)))), H)))))), H))))), I))), E))))), F)))), d(J, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K)), E))))), F)))), H)))), G)))), H)))))), H))))), I)))))), H))), K)), L)-[J=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), D=d(2, d(1, L)), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), H))), L=d(d(2, 1), 1), H=d(J, L), G=d(J, d(d(2, d(1, R)), Q)), Q=d(B, H), F=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), G)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, D)), G)))), H), S=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), G)))), H)))))), H))))), I), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), I=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(J, S))))), H))), d(d(2, d(1, N)), d(S, d(d(3, d(3, d(1, T))), T))))))), H)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), H))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, G)))), H)))))), H)))))), G)))), H))), L)))))]).
mm_proof('pm4.15', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), P=d(2, d(1, C)), Q=d(2, d(1, d(C, d(d(B, A), A)))), R=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, S))))), F))), T=d(2, d(J, U)), V=d(3, d(T, W)), X=d(3, d(T, d(d(2, d(1, d(2, d(J, d(K, U))))), S))), N=d(d(2, 1), 1), Y=d(H, 1), S=d(H, N), Z=d(H, A1), W=d(J, S), B1=d(J, d(d(2, d(1, d(2, d(M, Z)))), S)), C1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), Z)))), S)), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1), G=d(M, S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), Z)))), S), C=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, X)), d(C, d(d(3, d(3, d(1, E1))), E1))), A1=d(d(2, d(1, F1)), W), F1=d(d(2, d(J, d(d(2, d(1, d(2, W))), N))), N), L=d(T, N), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, C))))), S))), D1)))), S)), N), G1=d(C, d(A, H1)), I1=d(C, H1), E1=d(F1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), N))), d(3, d(T, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(O, Z)))), S)))))), S)))))), Z)))), S))), N))))), J1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(A, d(d(B, d(d(2, d(1, d(C, K1))), d(C, L1))), d(d(2, d(1, d(C, d(A, L1)))), d(C, d(A, K1))))), M1=d(A, N1), E=d(d(B, B1), B1), L1=d(d(B, d(d(2, d(1, d(2, d(R, d(H, d(d(2, d(1, d(2, d(1, d(d(2, F), d(C, J1)))))), C1)))))), S)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(H, d(d(2, d(1, d(2, d(R, S)))), S)))))), S)))), Z)))), S)))))), S))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)), N1=d(d(B, L), A1), H1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(I, d(2, d(1, D1)))))))), S))), d(I, P))))), S)), N)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(R, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y)))), S)))))), d(R, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), Y)))), S))))), O1=d(G1, d(d(B, d(d(2, d(1, d(C, P1))), d(C, Q1))), d(d(2, d(1, d(C, d(A, Q1)))), d(C, d(A, P1))))), R1=d(I1, d(1, M1)), K1=d(I1, d(1, d(d(B, d(d(2, d(1, d(C, S1))), d(C, N1))), d(d(2, d(1, d(C, M1))), d(C, d(A, S1)))))), P1=d(I1, d(1, N1)), T1=d(I1, N), Q1=d(I1, d(G1, d(d(B, d(d(2, d(1, d(C, T1))), d(C, R1))), d(d(2, d(1, d(C, d(A, R1)))), d(C, d(A, T1)))))), S1=d(d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, d(P, O1))))))), S))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Q, O1))))), S)))), S)))))), S)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, d(P, N))))))), S))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Q, N))))), S)))), S)))))), S)), N))), J1)]).
mm_proof('pm5.36', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, B)), E=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, d(F, R)))), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, X))))), d(1, Y)))), Z=d(2, d(I, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, A1))))), X))), N=d(d(2, 1), 1), E1=d(G, 1), X=d(G, N), F1=d(G, G1), C1=d(I, X), H1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), F1)))), X)), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1), Y=d(d(2, d(1, d(2, N))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, M)), F1)))), X), B=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, D1)), d(B, d(d(3, d(3, d(1, J1))), J1))), K1=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(B, L1)))))), H1)))), X)))), F1)))), X)))))), X))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(1, M1)), C1), M1=d(d(2, d(I, d(d(2, d(1, d(2, C1))), N))), N), K=d(Z, N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), X))), I1)))), X)), N), N1=d(B, d(F, O1)), P1=d(B, d(F, Q1)), T=d(B, d(F, R1)), S1=d(B, O1), V=d(B, Q1), T1=d(B, R), U1=d(B, R1), J1=d(M1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), X))), N))), d(3, d(Z, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, F1)))), X)))))), X)))))), F1)))), X))), N))))), L1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(F, D), V1=d(F, d(d(A, d(d(2, d(1, d(B, W1))), T1)), d(Q, d(B, d(F, W1))))), D=d(d(A, K1), K1), C=d(d(A, d(E, d(B, X1))), d(d(2, d(1, d(B, d(F, X1)))), d(B, d(F, P)))), Y1=d(d(A, d(d(2, d(1, d(B, Z1))), d(B, A2))), d(d(2, d(1, d(B, d(F, A2)))), d(B, d(F, Z1)))), W1=d(d(A, d(d(2, d(1, d(B, B2))), V)), d(d(2, d(1, P1)), d(B, d(F, B2)))), Z1=d(d(A, d(d(2, d(1, d(B, C2))), S1)), d(d(2, d(1, N1)), d(B, d(F, C2)))), B2=d(d(A, d(U, T1)), d(Q, P1)), D2=d(d(A, K), G1), O1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, I1)))))))), X))), d(H, O))))), X)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), E1)))), X)))))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), E1)))), X))))), C2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, E2))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(U, E2))))), X)))), X)))))), X)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(U, N))))), X)))), X)))))), X)), N)), Q1=d(d(A, F), F), R=d(d(A, d(N1, d(d(A, d(d(2, d(1, d(B, F2))), U1)), d(S, d(B, d(F, F2)))))), d(N1, d(d(A, d(d(2, d(1, d(B, G2))), U1)), d(S, d(B, d(F, G2)))))), E2=d(N1, d(d(A, d(d(2, d(1, d(B, H2))), d(B, I2))), d(d(2, d(1, d(B, d(F, I2)))), d(B, d(F, H2))))), X1=d(d(B, d(d(A, d(d(2, d(1, d(B, V1))), d(B, Y1))), d(d(2, d(1, d(B, d(F, Y1)))), d(B, d(F, V1))))), N), F2=d(S1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G2=d(S1, d(1, L1)), J2=d(S1, d(1, d(F, D2))), H2=d(S1, d(1, D2)), A2=d(S1, d(1, C2)), R1=d(S1, N), I2=d(S1, d(N1, d(d(A, d(d(2, d(1, U1)), d(B, J2))), d(d(2, d(1, d(B, d(F, J2)))), T))))]).
mm_proof(annotanannot, d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(H, d(I, J))))))), K))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(L, J))))), K)))), K)))))), K)), M))-[G=d(2, d(1, 1)), N=d(2, d(1, 2)), H=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, P)))), F=d(2, d(1, d(2, B))), Q=d(2, d(1, M)), I=d(2, d(1, A)), R=d(2, d(1, d(A, d(E, S)))), T=d(2, d(1, d(A, d(E, U)))), V=d(2, d(1, W)), L=d(2, d(1, X)), Y=d(2, d(1, d(A, Z))), A1=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, K))))), d(1, B1)))), C1=d(2, d(H, D1)), E1=d(3, d(C1, F1)), G1=d(3, d(C1, d(d(2, d(1, d(2, d(H, d(O, D1))))), K))), M=d(d(2, 1), 1), H1=d(G, 1), K=d(G, M), I1=d(G, J1), F1=d(H, K), K1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), I1)))), K)), B=d(d(2, d(1, d(2, d(1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1), B1=d(d(2, d(1, d(2, M))), K), D1=d(d(2, d(1, d(2, d(d(2, d(1, Q)), I1)))), K), L1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(A, M1)))))), K1)))), K), A=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, G1)), d(A, d(d(3, d(3, d(1, O1))), O1))), P1=d(d(2, d(1, d(3, d(C1, d(d(2, d(1, d(2, d(H, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), I1)))), K)))))), K))))), Q1), J1=d(d(2, d(1, R1)), F1), R1=d(d(2, d(H, d(d(2, d(1, d(2, F1))), M))), M), P=d(C1, M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, A))))), K))), N1)))), K)), M), Q1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(A, d(E, T1)), U1=d(A, d(E, V1)), W1=d(A, d(E, Z)), W=d(A, d(E, X1)), Y1=d(A, T1), X=d(A, V1), Z1=d(A, S), A2=d(A, U), B2=d(A, X1), O1=d(R1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), K))), M))), d(3, d(C1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(2, d(1, d(2, d(H, d(O, d(d(2, d(1, d(2, d(F, I1)))), K)))))), K)))))), I1)))), K))), M))))), M1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, d(d(B, d(d(2, d(1, d(A, C2))), Z1)), d(R, d(A, d(E, C2))))), D=d(d(B, d(d(2, d(1, d(A, D2))), d(A, E2))), d(d(2, d(1, d(A, d(E, E2)))), d(A, d(E, D2)))), C2=d(d(B, d(d(2, d(1, d(A, F2))), X)), d(d(2, d(1, U1)), d(A, d(E, F2)))), D2=d(d(B, d(d(2, d(1, d(A, G2))), Y1)), d(d(2, d(1, S1)), d(A, d(E, G2)))), F2=d(d(B, d(L, Z1)), d(R, U1)), H2=d(d(B, P), J1), T1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(N, d(2, d(1, N1)))))))), K))), d(N, I))))), K)), M)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, B)))), d(A1, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), H1)))), K)))))), d(A1, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), H1)))), K))))), G2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(H, d(I, I2))))))), K))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(L, I2))))), K)))), K)))))), K)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(H, d(I, M))))))), K))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(L, M))))), K)))), K)))))), K)), M)), V1=d(d(B, E), E), S=d(d(B, d(S1, d(d(B, d(d(2, d(1, d(A, J2))), B2)), d(V, d(A, d(E, J2)))))), d(S1, d(d(B, d(d(2, d(1, d(A, K2))), B2)), d(V, d(A, d(E, K2)))))), I2=d(S1, d(d(B, d(Y, d(A, L2))), d(d(2, d(1, d(A, d(E, L2)))), W1))), J=d(S1, d(d(B, d(Y, d(A, M2))), d(d(2, d(1, d(A, d(E, M2)))), W1))), J2=d(Y1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K2=d(Y1, d(1, M1)), U=d(Y1, d(1, d(E, H2))), N2=d(Y1, d(1, d(d(B, P1), P1))), Z=d(Y1, d(1, H2)), E2=d(Y1, d(1, G2)), X1=d(Y1, M), O2=d(Y1, d(L, d(S1, d(d(B, d(d(2, d(1, d(A, N2))), d(A, P2))), d(d(2, d(1, d(A, d(E, P2)))), d(A, d(E, N2))))))), P2=d(Y1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(1, d(d(2, d(1, d(3, d(C1, d(d(2, d(1, d(2, d(H, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), I1)))), K)))))), K))))), Q1))))))), K))), L1)))), K)), M)), L2=d(Y1, d(S1, d(d(B, d(d(2, d(1, B2)), A2)), d(T, W)))), M2=d(Y1, d(S1, d(d(B, d(d(2, d(1, d(A, O2))), A2)), d(T, d(A, d(E, O2))))))]).
mm_proof('pm5.33', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(H, d(G, d(I, J)))))))), K))), d(H, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(L, J))))), K)))), K))))))), K)), M))-[N=d(1, M), G=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(O, K))))), R=d(2, d(1, d(2, d(1, S)))), F=d(2, d(1, d(2, B))), T=d(2, N), I=d(2, d(1, A)), U=d(2, d(1, d(A, d(E, V)))), W=d(2, d(1, X)), L=d(2, d(1, Y)), Z=d(2, d(O, d(Q, d(1, A1)))), H=d(2, d(O, d(Q, d(O, d(G, N))))), B1=d(2, d(P, C1)), D1=d(3, d(B1, E1)), F1=d(3, d(B1, d(d(2, d(1, d(2, d(P, d(R, C1))))), K))), M=d(d(2, 1), 1), G1=d(G, 1), K=d(G, M), H1=d(G, I1), E1=d(P, K), J1=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), H1)))), K)), B=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), A1=d(d(2, d(1, d(2, M))), K), C1=d(d(2, d(1, d(2, d(d(2, d(1, T)), H1)))), K), K1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(A, L1)))))), J1)))), K), A=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(1, F1)), d(A, d(d(3, d(3, d(1, N1))), N1))), O1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), H1)))), K)))))), K))))), P1), I1=d(d(2, d(1, Q1)), E1), Q1=d(d(2, d(P, d(d(2, d(1, d(2, E1))), M))), M), S=d(B1, M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, A))))), K))), M1)))), K)), M), P1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R1=d(A, d(E, S1)), T1=d(A, d(E, U1)), X=d(A, d(E, V1)), W1=d(A, S1), Y=d(A, U1), X1=d(A, V), Y1=d(A, V1), N1=d(Q1, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), K))), M))), d(3, d(B1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(F, H1)))), K)))))), K)))))), H1)))), K))), M))))), L1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, d(d(B, d(d(2, d(1, d(A, Z1))), X1)), d(U, d(A, d(E, Z1))))), D=d(d(B, d(d(2, d(1, d(A, A2))), d(A, B2))), d(d(2, d(1, d(A, d(E, B2)))), d(A, d(E, A2)))), Z1=d(d(B, d(d(2, d(1, d(A, C2))), Y)), d(d(2, d(1, T1)), d(A, d(E, C2)))), A2=d(d(B, d(d(2, d(1, d(A, D2))), W1)), d(d(2, d(1, R1)), d(A, d(E, D2)))), C2=d(d(B, d(L, X1)), d(U, T1)), E2=d(d(B, S), I1), S1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(O, d(2, d(1, M1)))))))), K))), d(O, I))))), K)), M)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, B)))), d(Z, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), G1)))), K)))))), d(Z, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), G1)))), K))))), D2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(P, d(I, F2))))))), K))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(L, F2))))), K)))), K)))))), K)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(P, d(I, M))))))), K))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(L, M))))), K)))), K)))))), K)), M)), U1=d(d(B, E), E), V=d(d(B, d(R1, d(d(B, d(d(2, d(1, d(A, G2))), Y1)), d(W, d(A, d(E, G2)))))), d(R1, d(d(B, d(d(2, d(1, d(A, H2))), Y1)), d(W, d(A, d(E, H2)))))), J=d(R1, d(d(B, d(d(2, d(1, d(A, I2))), d(A, J2))), d(d(2, d(1, d(A, d(E, J2)))), d(A, d(E, I2))))), F2=d(R1, d(d(B, d(d(2, d(1, d(A, K2))), d(A, L2))), d(d(2, d(1, d(A, d(E, L2)))), d(A, d(E, K2))))), G2=d(W1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H2=d(W1, d(1, L1)), M2=d(W1, d(1, d(E, E2))), I2=d(W1, d(1, d(d(B, O1), O1))), K2=d(W1, d(1, E2)), B2=d(W1, d(1, D2)), V1=d(W1, M), J2=d(W1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, d(1, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H1)))), K)))))), K))))), P1))))))), K))), K1)))), K)), M)), L2=d(W1, d(R1, d(d(B, d(d(2, d(1, Y1)), d(A, M2))), d(d(2, d(1, d(A, d(E, M2)))), X))))]).
mm_proof(syl12anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, 1)), G)))))), H))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(J, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, G))))), H))))), I))))), L))))))), M))))))))), L))))))))))), M)-[I=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, M))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), K=d(2, d(1, M)), P=d(2, d(N, S)), T=d(3, d(P, U)), R=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, S))))), L))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), J=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), C=d(d(d(2, d(1, 2)), 1), J), M=d(d(2, 1), 1), L=d(I, M), V=d(I, d(d(2, d(1, W)), U)), U=d(N, L), H=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), L)))), V)))), L)), S=d(d(2, d(1, d(2, d(d(2, d(1, K)), V)))), L), X=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(N, d(d(2, d(1, d(2, U))), M))), M), G=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, X))))), L))), d(d(2, d(1, R)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), L)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), L))), M))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Q, V)))), L)))))), L)))))), V)))), L))), M)))))]).
mm_proof(syl21anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, 1)), G)))))), H)))))), I)))))), J))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, G))))), H))))), I))))), J))))))), L))))))), L)-[I=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, L))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), K=d(2, d(1, L)), O=d(2, d(M, R)), S=d(3, d(O, T)), Q=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, R))))), J))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), A), L=d(d(2, 1), 1), J=d(I, L), U=d(I, d(d(2, d(1, V)), T)), T=d(M, J), H=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), J)))), U)))), J)), R=d(d(2, d(1, d(2, d(d(2, d(1, K)), U)))), J), W=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(M, d(d(2, d(1, d(2, T))), L))), L), G=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, W))))), J))), d(d(2, d(1, Q)), d(W, d(d(3, d(3, d(1, X))), X))))))), J)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), J))), L))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(P, U)))), J)))))), J)))))), U)))), J))), L)))))]).
mm_proof(syl22anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, 1)), H)))))), I))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), K)))))))), L)))))))), K))))))), M)-[J=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, M))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), S=d(2, d(1, M)), P=d(2, d(N, T)), U=d(3, d(P, V)), R=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, T))))), L))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), W=d(d(d(2, d(1, 2)), 1), F), B=d(d(d(2, d(1, 2)), 1), A), E=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), D=d(d(d(2, d(1, 2)), 1), W), C=d(d(d(2, d(1, 2)), 1), B), M=d(d(2, 1), 1), L=d(J, M), X=d(J, d(d(2, d(1, Y)), V)), V=d(N, L), I=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), L)))), X)))), L)), T=d(d(2, d(1, d(2, d(d(2, d(1, S)), X)))), L), Z=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(N, d(d(2, d(1, d(2, V))), M))), M), K=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(W, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, H))))), I))))), J))))), L))))))), M), H=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, Z))))), L))), d(d(2, d(1, R)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), L)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), L))), M))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Q, X)))), L)))))), L)))))), X)))), L))), M)))))]).
mm_proof(syl1111anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), I)))))), J)))))), K)))))), L)))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), M)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, M))), N)))))), N)))))))), N)-[K=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, N))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), T=d(2, d(1, N)), Q=d(2, d(O, U)), V=d(3, d(Q, W)), S=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, U))))), L))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), E), C=d(d(d(2, d(1, 2)), 1), B), M=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, I))))), J))))), K))))), L)))), N=d(d(2, 1), 1), L=d(K, N), X=d(K, d(d(2, d(1, Y)), W)), W=d(O, L), J=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), L)))), X)))), L)), U=d(d(2, d(1, d(2, d(d(2, d(1, T)), X)))), L), Z=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(O, d(d(2, d(1, d(2, W))), N))), N), I=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(K, Z))))), L))), d(d(2, d(1, S)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), L)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), L))), N))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, X)))), L)))))), L)))))), X)))), L))), N)))))]).
mm_proof(syldbl2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), I))))), I)))), J)))))), K))))))), I))))))))), I))))))), I))))), L))))), I))))))), I)))))), M))))), I))))), I))), d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), L)))), I)))))), I))))), M))))), J)))))), K))))), I))))), L))))), I))))))), I)))))), M)-[Q=d(2, d(1, 1)), R=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), N=d(2, d(O, V)), W=d(3, d(N, X)), U=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, V))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), Q), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), G=d(d(d(2, d(1, 2)), 1), d(2, d(R, d(d(2, d(1, d(2, d(1, d(R, I))))), d(1, Y))))), D=d(d(d(2, d(1, 2)), 1), N), S=d(d(2, 1), 1), I=d(Q, S), L=d(Q, d(d(2, d(1, Z)), X)), X=d(O, I), K=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), L)))), I)), Y=d(d(2, d(1, d(2, S))), I), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), L)))), I), A1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(O, d(d(2, d(1, d(2, X))), S))), S), M=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(A1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(Q, A1))))), I))), d(d(2, d(1, U)), d(A1, d(d(3, d(3, d(1, B1))), B1))))))), I)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), I))), S))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(T, L)))), I)))))), I)))))), L)))), I))), S)))))]).
mm_proof(mpsyl4anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), I)))))), J)))))), K)))))), L)))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(D, d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(M, 1)))), N)))))), N)))))))), N)-[K=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, N))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), T=d(2, d(1, N)), Q=d(2, d(O, U)), V=d(3, d(Q, W)), S=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, U))))), L))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), E), C=d(d(d(2, d(1, 2)), 1), B), M=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, I))))), J))))), d(d(d(d(2, d(1, 2)), 1), K), 1)))))), L))))), N=d(d(2, 1), 1), L=d(K, N), X=d(K, d(d(2, d(1, Y)), W)), W=d(O, L), J=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), L)))), X)))), L)), U=d(d(2, d(1, d(2, d(d(2, d(1, T)), X)))), L), Z=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(O, d(d(2, d(1, d(2, W))), N))), N), I=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(K, Z))))), L))), d(d(2, d(1, S)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), L)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), L))), N))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, X)))), L)))))), L)))))), X)))), L))), N)))))]).
mm_proof('pm4.87', d(d(A, d(d(A, B), d(d(C, D), D))), d(E, B))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, C))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), F))), L=d(2, d(J, R)), S=d(3, d(L, T)), U=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, R))))), Q))), M=d(d(2, 1), 1), Q=d(H, M), V=d(H, d(d(2, d(1, W)), T)), T=d(J, Q), X=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), V)))), Q)), A=d(d(2, d(1, d(2, d(1, d(O, Y))))), X), C=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), G=d(d(2, d(1, d(2, M))), Q), R=d(d(2, d(1, d(2, d(d(2, d(1, O)), V)))), Q), Z=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(P, Q), W=d(d(2, d(J, d(d(2, d(1, d(2, T))), M))), M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, Z))))), Q))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), Q)), M), Y=d(Z, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(W, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, V)))), Q)))))), Q)))))), V)))), Q))), M))))), B=d(d(C, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(1, d(d(2, F), Y))))), X)))))), Q)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, D))), Q)))))), Q)))), V)))), Q)))))), Q))))), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q))]).
mm_proof(bimsc1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(D, d(E, F)), d(d(G, d(d(2, d(1, d(D, H))), d(D, I))), d(d(2, d(1, d(D, d(E, I)))), d(D, d(E, H))))))), J))))), K)))), L)))), M)))), L)))))), L))))), N)-[O=d(2, d(1, 1)), P=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, Q))))), R=d(2, d(1, d(2, G))), S=d(2, d(1, Q)), T=d(2, d(P, d(d(2, d(1, d(2, d(1, d(P, L))))), d(1, U)))), A=d(2, d(B, V)), W=d(3, d(A, X)), Y=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, V))))), L))), Q=d(d(2, 1), 1), Z=d(O, 1), L=d(O, Q), M=d(O, d(d(2, d(1, A1)), X)), X=d(B, L), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), M)))), L)), G=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K), U=d(d(2, d(1, d(2, Q))), L), V=d(d(2, d(1, d(2, d(d(2, d(1, S)), M)))), L), D=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, Y)), d(D, d(d(3, d(3, d(1, C1))), C1))), D1=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M)))), L)))))), L))))), N), A1=d(d(2, d(B, d(d(2, d(1, d(2, X))), Q))), Q), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(O, D))))), L))), B1)))), L)), Q), N=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(D, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D, F), C1=d(A1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), Q))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(R, M)))), L)))))), L)))))), M)))), L))), Q))))), F=d(d(G, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(O, d(P, d(2, d(1, B1)))))))), L))), d(P, d(2, d(1, D))))))), L)), Q)), d(d(2, d(P, d(d(2, d(1, d(2, d(1, G)))), d(T, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), Z)))), L)))))), d(T, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Z)))), L))))), I=d(E1, D1), H=d(E1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(d(2, d(1, d(D, d(d(G, E), E)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(O, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D1)), J))))), K)))), L)))), M)))), L)))))), L))))), N))))))), L))), d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, J))))), K)))), L)))))), L)), Q)))))), M)))), L)))))), L))))), N))), J))))), K)))), L)))), M)))), L)))))), L))))), N))]).
mm_proof(a2and, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(C, d(d(d(d(2, d(1, 2)), 1), D), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(D, d(G, d(D, d(F, H))))), I)))))), I)))))), I))))))))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(J, d(d(K, d(d(2, d(1, d(J, L))), d(J, M))), d(d(2, d(1, d(J, d(N, M)))), d(J, d(N, L)))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(O, d(C, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(O, d(C, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(O, 2))), I)))), P)))))), Q))))))), I)))))-[H=d(1, R), S=d(1, T), F=d(2, d(1, 1)), D=d(2, d(1, 2)), U=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(D, I))))), V=d(2, d(1, d(2, d(1, d(W, R))))), X=d(2, d(1, d(2, K))), Y=d(2, H), E=d(2, d(D, d(G, S))), W=d(2, d(U, Z)), A1=d(3, d(W, B1)), C1=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, Z))))), I))), O=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), F), A=d(d(d(2, d(1, 2)), 1), E), R=d(d(2, 1), 1), D1=d(F, 1), I=d(F, R), E1=d(F, d(d(2, d(1, F1)), B1)), B1=d(U, I), Q=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), E1)))), I)), K=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q), T=d(d(2, d(1, d(2, R))), I), Z=d(d(2, d(1, d(2, d(d(2, d(1, Y)), E1)))), I), G1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, P))))), Q)))), I), J=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, C1)), d(J, d(d(3, d(3, d(1, I1))), I1))), J1=d(d(2, d(1, d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), E1)))), I)))))), I))))), K1), F1=d(d(2, d(U, d(d(2, d(1, d(2, B1))), R))), R), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(F, J))))), I))), H1)))), I)), R), K1=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(J, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(J, M1), I1=d(F1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), I))), R))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(X, E1)))), I)))))), I)))))), E1)))), I))), R))))), L=d(N, d(d(K, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(1, d(d(2, S), P))))), Q)))))), I)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(E, I)))), I)))))), I)))), E1)))), I)))))), I))))), K1)))), I))), M1=d(d(K, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(F, d(D, d(2, d(1, H1)))))))), I))), d(D, d(2, d(1, J))))))), I)), R)), d(d(2, d(D, d(d(2, d(1, d(2, d(1, K)))), d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), D1)))), I)))))), d(E, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), D1)))), I))))), N1=d(L1, d(1, d(d(K, J1), J1))), M=d(L1, d(d(2, d(1, L1)), d(F, d(d(J, d(N, M1)), d(d(K, d(d(2, d(1, d(J, N1))), d(J, O1))), d(d(2, d(1, d(J, d(N, O1)))), d(J, d(N, N1)))))))), O1=d(L1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(F, d(1, d(d(2, d(1, d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), E1)))), I)))))), I))))), K1))))))), I))), G1)))), I)), R))]).
mm_proof(animpimp2impd, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(E, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(E, d(d(d(d(2, d(1, 2)), 1), d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, L))))), d(1, M))))), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(E, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(G, d(E, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, 1)), N)))))), O))))), L)))), N)))))), O))))))), L))))), P))))), L))))))), L)))))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))))), N))))))), O)))))), L))-[R=d(2, d(1, 1)), K=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), H=d(2, d(I, V)), W=d(3, d(H, X)), U=d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, V))))), L))), G=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), R), A=d(d(d(2, d(1, 2)), 1), K), D=d(d(d(2, d(1, 2)), 1), G), C=d(d(d(2, d(1, 2)), 1), E), S=d(d(2, 1), 1), L=d(R, S), P=d(R, d(d(2, d(1, Y)), X)), X=d(I, L), O=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), P)))), L)), M=d(d(2, d(1, d(2, S))), L), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), P)))), L), Q=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(I, d(d(2, d(1, d(2, X))), S))), S), N=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(R, Q))))), L))), d(d(2, d(1, U)), d(Q, d(d(3, d(3, d(1, Z))), Z))))))), L)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), L))), S))), d(3, d(H, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(T, P)))), L)))))), L)))))), P)))), L))), S)))))]).
mm_proof('pm4.64', d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, C))))), D))), d(d(2, d(1, E)), d(C, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))-[B=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(B, G), K=d(B, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), C=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(A, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof('pm4.66', d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, C))))), D))), d(d(2, d(1, E)), d(C, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))-[B=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(B, G), K=d(B, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), C=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(A, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof('pm2.53', d(d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), A=d(3, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D)))), d(B, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, E))), D))), D))), E)))))), F))), E)), D=d(d(2, 1), 1), F=d(B, D), E=d(C, F)]).
mm_proof(imor, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, B)), O=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, P))))), d(I, d(H, F))))), Q=d(2, d(J, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(J, d(K, R))))), P))), G=d(d(2, 1), 1), P=d(H, G), V=d(H, W), T=d(J, P), A=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), P)))), V)))), P))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), V)))), P), B=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, X)), T), X=d(d(2, d(J, d(d(2, d(1, d(2, T))), G))), G), L=d(Q, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, B))))), P))), d(d(2, d(1, U)), d(B, d(d(3, d(3, d(1, Y))), Y))))))), P)), G), Y=d(X, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), P))), G))), d(3, d(Q, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, V)))), P)))))), P)))))), V)))), P))), G))))), C=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(O, d(H, d(N, G)))))))), P))), d(O, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(d(2, d(1, d(B, d(d(A, E), E)))), G))))), P)))), P))))))), P)), G), d(d(A, L), W))]).
mm_proof(imorri, d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(d(2, d(1, d(A, d(B, E)))), d(A, d(B, D))))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, C))), N=d(2, d(1, A)), O=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, P))))), d(I, d(H, F))))), Q=d(2, d(J, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(J, d(K, R))))), P))), G=d(d(2, 1), 1), P=d(H, G), V=d(H, W), T=d(J, P), C=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), P)))), V)))), P))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), V)))), P), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, X)), T), X=d(d(2, d(J, d(d(2, d(1, d(2, T))), G))), G), L=d(Q, G), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, A))))), P))), d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, Y))), Y))))))), P)), G), Y=d(X, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), P))), G))), d(3, d(Q, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, V)))), P)))))), P)))))), V)))), P))), G))))), D=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(O, d(H, d(N, G)))))))), P))), d(O, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(d(2, d(1, d(A, d(d(C, B), B)))), G))))), P)))), P))))))), P)), G), d(d(C, L), W))]).
mm_proof('pm4.62', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, B)), O=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, P))))), d(I, d(H, F))))), Q=d(2, d(J, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(J, d(K, R))))), P))), G=d(d(2, 1), 1), P=d(H, G), V=d(H, W), T=d(J, P), A=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), P)))), V)))), P))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), V)))), P), B=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, X)), T), X=d(d(2, d(J, d(d(2, d(1, d(2, T))), G))), G), L=d(Q, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, B))))), P))), d(d(2, d(1, U)), d(B, d(d(3, d(3, d(1, Y))), Y))))))), P)), G), Y=d(X, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), P))), G))), d(3, d(Q, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, V)))), P)))))), P)))))), V)))), P))), G))))), C=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(O, d(H, d(N, G)))))))), P))), d(O, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(d(2, d(1, d(B, d(d(A, E), E)))), G))))), P)))), P))))))), P)), G), d(d(A, L), W))]).
mm_proof(jao1i, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), d(2, d(d(2, d(1, 2)), d(D, E)))), d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(F, G)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(A, 1)))), d(d(d(2, d(1, H)), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), G)-[E=d(1, 1), D=d(2, E), I=d(2, d(1, 3)), C=d(2, d(1, d(2, J))), F=d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), d(D, d(d(2, d(1, d(d(2, d(I, d(C, G))), G))), J)))))), K))), H=d(3, d(F, J)), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), I), G=d(d(2, 1), 1), K=d(D, G), J=d(I, K)]).
mm_proof(jaod, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), G), H))))), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(I, J)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, H)))), d(d(d(2, d(1, K)), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), J)))))), L)-[G=d(2, d(1, 1)), M=d(2, d(1, 3)), E=d(2, d(1, d(2, N))), I=d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), d(G, d(d(2, d(1, d(d(2, d(M, d(E, J))), J))), N)))))), L))), K=d(3, d(I, N)), C=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), D=d(d(d(2, d(1, 2)), 1), M), B=d(d(d(2, d(1, 2)), 1), F), J=d(d(2, 1), 1), L=d(G, J), N=d(M, L), H=d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, 2))), L))]).
mm_proof(mpjaod, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(A, d(d(d(d(2, d(1, 2)), 1), C), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), G), H))))), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(I, J)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, H)))), d(d(d(2, d(1, K)), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), J)))))), L))-[G=d(2, d(1, 1)), M=d(2, d(1, 3)), E=d(2, d(1, d(2, N))), I=d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), d(G, d(d(2, d(1, d(d(2, d(M, d(E, J))), J))), N)))))), L))), K=d(3, d(I, N)), C=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), D=d(d(d(2, d(1, 2)), 1), M), A=d(d(d(2, d(1, 2)), 1), F), J=d(d(2, 1), 1), L=d(G, J), N=d(M, L), H=d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, 2))), L))]).
mm_proof(orrd, d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(olc, d(d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1)-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(orcoms, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1)), d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(D, 1))))), d(A, d(E, d(d(2, d(1, d(2, d(1, d(D, d(B, F)))))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), H))-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(I, H))))), B=d(2, d(1, d(2, J))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), F)))), M)))), F)))))), D=d(2, d(1, d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(C, G))))), F))), d(d(2, d(1, L)), d(G, d(d(3, d(3, d(1, N))), N))))))), F)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), I=d(2, d(A, O)), P=d(3, d(I, J)), L=d(3, d(I, d(d(2, d(1, d(2, d(A, d(E, O))))), F))), H=d(d(2, 1), 1), F=d(C, H), M=d(C, d(d(2, d(1, Q)), J)), J=d(A, F), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), M)))), F), G=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(A, d(B, H))), H), N=d(Q, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), F))), H))), d(3, d(I, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(K, M)))), F)))))), F)))))), M)))), F))), H)))))]).
mm_proof(olcd, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(d(B, C), C))))), D)-[E=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(H, I))))), J=d(2, d(1, d(2, K))), L=d(2, d(1, d(2, B))), D=d(2, d(1, d(M, d(J, N)))), M=d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, A))))), N))), d(d(2, d(1, O)), d(A, d(d(3, d(3, d(1, P))), P))))))), N)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), H=d(2, d(F, Q)), R=d(3, d(H, K)), O=d(3, d(H, d(d(2, d(1, d(2, d(F, d(G, Q))))), N))), I=d(d(2, 1), 1), N=d(E, I), S=d(E, d(d(2, d(1, T)), K)), K=d(F, N), B=d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), N)))), S)))), N))), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), S)))), N), A=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(F, d(J, I))), I), C=d(d(2, d(F, d(J, d(d(2, d(d(2, d(1, 2)), d(E, d(1, d(M, 1))))), d(F, d(G, d(d(2, d(1, D)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I), P=d(T, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), N))), I))), d(3, d(H, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(L, S)))), N)))))), N)))))), S)))), N))), I)))))]).
mm_proof(olcs, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(d(2, d(B, d(C, d(d(2, d(d(2, d(1, 2)), d(D, d(1, d(E, 1))))), d(B, d(F, d(d(2, d(1, d(2, d(1, G)))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I))))), G)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(J, I))))), C=d(2, d(1, d(2, K))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), N)))), O)))), N)))))), E=d(2, d(1, d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(D, H))))), N))), d(d(2, d(1, M)), d(H, d(d(3, d(3, d(1, P))), P))))))), N)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), J=d(2, d(B, Q)), R=d(3, d(J, K)), M=d(3, d(J, d(d(2, d(1, d(2, d(B, d(F, Q))))), N))), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), N=d(D, I), O=d(D, d(d(2, d(1, S)), K)), K=d(B, N), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), O)))), N), H=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G=d(E, d(C, N)), S=d(d(2, d(B, d(C, I))), I), P=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), N))), I))), d(3, d(J, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(L, O)))), N)))))), N)))))), O)))), N))), I)))))]).
mm_proof(olcnd, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(B, C)))))), d(2, d(1, d(d(d(2, d(1, D)), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))-[E=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C)))), d(E, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, F))), C))), C))), F)))))), G))), D=d(3, d(B, F)), C=d(d(2, 1), 1), G=d(E, C), F=d(A, G)]).
mm_proof(orcnd, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, C))), d(2, d(1, d(D, d(d(E, F), F))))))))-[G=d(2, d(1, 1)), A=d(2, d(1, 3)), B=d(2, d(1, d(2, d(1, d(H, I))))), J=d(2, d(1, d(2, K))), L=d(2, d(1, d(2, E))), M=d(2, d(1, d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, D))))), N))), d(d(2, d(1, O)), d(D, d(d(3, d(3, d(1, P))), P))))))), N)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), H=d(2, d(A, Q)), R=d(3, d(H, K)), O=d(3, d(H, d(d(2, d(1, d(2, d(A, d(B, Q))))), N))), I=d(d(2, 1), 1), N=d(G, I), S=d(G, d(d(2, d(1, T)), K)), K=d(A, N), E=d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), N)))), S)))), N))), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), S)))), N), D=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(A, d(J, I))), I), F=d(d(2, d(A, d(J, d(d(2, d(d(2, d(1, 2)), d(G, d(1, d(M, 1))))), d(A, d(B, d(d(2, d(1, d(2, d(1, d(M, d(J, N)))))), C))))))), I), C=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(T, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), N))), I))), d(3, d(H, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(A, d(B, d(d(2, d(1, d(2, d(L, S)))), N)))))), N)))))), S)))), N))), I)))))]).
mm_proof(mtord, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(H, d(F, d(G, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(H, d(J, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(H, d(J, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(2, d(1, d(2, d(1, d(d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), N)))))), O)))))), P))))))))), N))))))), d(Q, d(I, R))))))))), S)-[R=d(1, S), N=d(2, d(1, 1)), Q=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(T, S))))), E=d(2, d(1, d(2, U))), T=d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), O)))), P))), M=d(3, d(T, U)), K=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), H=d(d(d(2, d(1, 2)), 1), K), B=d(d(d(2, d(1, 2)), 1), A), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), N)), F=d(d(d(2, d(1, 2)), 1), L), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), C=d(d(d(2, d(1, 2)), 1), H), S=d(d(2, 1), 1), P=d(N, S), O=d(N, d(d(2, d(1, d(d(2, d(Q, d(E, S))), S))), U)), U=d(Q, P)]).
mm_proof('pm3.2ni', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, 1))))), E))))), F)))), G))))), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, 2)), 1), d(2, d(d(2, d(1, 2)), d(K, L)))), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(M, G)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(H, 1)))))), d(d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), G))))))), E))))), F)))), G)))))-[L=d(1, G), K=d(2, d(1, 1)), O=d(2, d(1, 3)), J=d(2, d(1, d(2, P))), M=d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), E)))), F))), N=d(3, d(M, P)), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), H=d(d(d(2, d(1, 2)), 1), 3), D=d(d(d(2, d(1, 2)), 1), O), I=d(d(d(2, d(1, 2)), 1), M), G=d(d(2, 1), 1), F=d(K, G), E=d(K, d(d(2, d(1, A)), P)), P=d(O, F), A=d(d(2, d(O, d(J, G))), G)]).
mm_proof('pm2.45', d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(J, F))))))), K)))), F))), I)-[E=d(2, d(1, 1)), A=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(B, I))))), J=d(2, d(1, d(2, M))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), K)))), F)))))), B=d(2, d(A, N)), O=d(3, d(B, M)), G=d(3, d(B, d(d(2, d(1, d(2, d(A, d(L, N))))), F))), I=d(d(2, 1), 1), F=d(E, I), K=d(E, d(d(2, d(1, P)), M)), M=d(A, F), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), K)))), F), C=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(A, d(J, I))), I), H=d(P, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F))), I))), d(3, d(B, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(A, d(L, d(d(2, d(1, d(2, d(D, K)))), F)))))), F)))))), K)))), F))), I)))))]).
mm_proof('pm2.46', d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1)))))), J)))), F))), I)-[E=d(2, d(1, 1)), A=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(B, I))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), J)))), F)))))), B=d(2, d(A, L)), M=d(3, d(B, N)), G=d(3, d(B, d(d(2, d(1, d(2, d(A, d(K, L))))), F))), I=d(d(2, 1), 1), F=d(E, I), J=d(E, d(d(2, d(1, O)), N)), N=d(A, F), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), J)))), F), C=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(A, d(d(2, d(1, d(2, N))), I))), I), H=d(O, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), F))), I))), d(3, d(B, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(A, d(K, d(d(2, d(1, d(2, d(D, J)))), F)))))), F)))))), J)))), F))), I)))))]).
mm_proof('pm2.47', d(d(2, d(1, A)), d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, A))))), D)))), E))), F))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(C, F))))), I=d(2, d(1, d(2, J))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), D)))), E)))))), C=d(2, d(B, M)), N=d(3, d(C, J)), L=d(3, d(C, d(d(2, d(1, d(2, d(B, d(H, M))))), E))), F=d(d(2, 1), 1), E=d(G, F), D=d(G, d(d(2, d(1, O)), J)), J=d(B, E), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), D)))), E), P=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, d(P, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(G, P))))), E))), d(d(2, d(1, L)), d(P, d(d(3, d(3, d(1, Q))), Q))))))), E)), F), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(I, E)), O=d(d(2, d(B, d(I, F))), F), Q=d(O, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), E))), F))), d(3, d(C, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(B, d(H, d(d(2, d(1, d(2, d(K, D)))), E)))))), E)))))), D)))), E))), F)))))]).
mm_proof('pm2.48', d(d(2, d(1, d(A, d(d(B, C), C)))), d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, G))))), H)))), I))), J)))-[K=d(2, d(1, 1)), E=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(F, J))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), D=d(2, d(1, d(P, d(M, I)))), P=d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, A))))), I))), d(d(2, d(1, Q)), d(A, d(d(3, d(3, d(1, R))), R))))))), I)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F=d(2, d(E, S)), T=d(3, d(F, N)), Q=d(3, d(F, d(d(2, d(1, d(2, d(E, d(L, S))))), I))), J=d(d(2, 1), 1), I=d(K, J), H=d(K, d(d(2, d(1, U)), N)), N=d(E, I), B=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), H)))), I))), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), H)))), I), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G=d(P, 1), U=d(d(2, d(E, d(M, J))), J), C=d(d(2, d(E, d(M, d(d(2, d(d(2, d(1, 2)), d(K, d(1, G)))), d(E, d(L, d(d(2, d(1, D)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J), R=d(U, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), J))), d(3, d(F, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(E, d(L, d(d(2, d(1, d(2, d(O, H)))), I)))))), I)))))), H)))), I))), J)))))]).
mm_proof('pm2.49', d(d(2, d(1, d(A, d(d(B, C), C)))), d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, G))))), H)))), I))), J)))-[K=d(2, d(1, 1)), E=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(F, J))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), D=d(2, d(1, d(P, d(M, I)))), P=d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, A))))), I))), d(d(2, d(1, Q)), d(A, d(d(3, d(3, d(1, R))), R))))))), I)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F=d(2, d(E, S)), T=d(3, d(F, N)), Q=d(3, d(F, d(d(2, d(1, d(2, d(E, d(L, S))))), I))), J=d(d(2, 1), 1), I=d(K, J), H=d(K, d(d(2, d(1, U)), N)), N=d(E, I), B=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), H)))), I))), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), H)))), I), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G=d(P, 1), U=d(d(2, d(E, d(M, J))), J), C=d(d(2, d(E, d(M, d(d(2, d(d(2, d(1, 2)), d(K, d(1, G)))), d(E, d(L, d(d(2, d(1, D)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J), R=d(U, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), J))), d(3, d(F, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(E, d(L, d(d(2, d(1, d(2, d(O, H)))), I)))))), I)))))), H)))), I))), J)))))]).
mm_proof(norbi, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(C, d(D, E))))))), F))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(G, d(d(H, I), I)))), E))))), F)))), F)))))), F)), J)-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, J))))), M=d(2, d(1, d(2, N))), A=d(2, d(1, d(2, H))), D=d(2, d(1, G)), O=d(2, d(1, d(G, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), L=d(2, d(C, P)), Q=d(3, d(L, N)), R=d(3, d(L, d(d(2, d(1, d(2, d(C, d(K, P))))), F))), J=d(d(2, 1), 1), F=d(B, J), S=d(B, d(d(2, d(1, T)), N)), N=d(C, F), H=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), F)))), S)))), F))), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), S)))), F), G=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(C, d(M, J))), J), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, G))))), F))), d(d(2, d(1, R)), d(G, d(d(3, d(3, d(1, U))), U))))))), F)), J), E=d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, 1))))), F))), 1)))), F)))), d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(O, 1)))))), S)))), F))), J)))))), F))), d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(O, d(M, F))))))), S)))), F))), J))), J), U=d(T, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), F))), J))), d(3, d(L, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(C, d(K, d(d(2, d(1, d(2, d(A, S)))), F)))))), F)))))), S)))), F))), J)))))]).
mm_proof(nbior, d(3, d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(D, d(E, F))))))), G))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(H, d(d(I, J), J)))), F))))), G)))), G)))))), G)), K)))-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(A, K))))), M=d(2, d(1, d(2, N))), B=d(2, d(1, d(2, I))), E=d(2, d(1, H)), O=d(2, d(1, d(H, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), A=d(2, d(D, P)), Q=d(3, d(A, N)), R=d(3, d(A, d(d(2, d(1, d(2, d(D, d(L, P))))), G))), K=d(d(2, 1), 1), G=d(C, K), S=d(C, d(d(2, d(1, T)), N)), N=d(D, G), I=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G)))), S)))), G))), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), S)))), G), H=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(D, d(M, K))), K), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, H))))), G))), d(d(2, d(1, R)), d(H, d(d(3, d(3, d(1, U))), U))))))), G)), K), F=d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, 1))))), G))), 1)))), G)))), d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(O, 1)))))), S)))), G))), K)))))), G))), d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(O, d(M, G))))))), S)))), G))), K))), K), U=d(T, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), G))), K))), d(3, d(A, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(D, d(L, d(d(2, d(1, d(2, d(B, S)))), G)))))), G)))))), S)))), G))), K)))))]).
mm_proof(orel1, d(d(2, d(1, d(2, d(d(d(2, d(1, A)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), B)-[C=d(2, d(1, 1)), D=d(2, d(1, 3)), A=d(3, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), d(C, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, F))), E))), E))), F)))))), B))), F)), E=d(d(2, 1), 1), B=d(C, E), F=d(D, B)]).
mm_proof(orel2, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(D, E))))), d(A, d(d(2, d(1, d(2, d(1, d(F, G))))), d(d(2, d(1, d(2, d(1, d(B, E))))), d(d(d(2, d(1, H)), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G)))), E)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, G)))), B=d(2, d(1, d(2, I))), F=d(2, d(A, d(d(2, d(1, d(2, d(D, d(C, d(d(2, d(1, d(d(2, d(A, d(B, G))), G))), I)))))), E))), H=d(3, d(F, I)), G=d(d(2, 1), 1), E=d(C, G), I=d(A, E)]).
mm_proof('pm2.67-2', d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), d(B, d(d(2, d(1, d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(B, C))))), E))), d(d(2, d(1, F)), d(C, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(I, E))))))), E)-[B=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), I=d(2, d(1, d(2, M))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), N)))), E)))))), A=d(2, d(1, H)), L=d(2, d(J, O)), P=d(3, d(L, M)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, O))))), E))), H=d(d(2, 1), 1), E=d(B, H), N=d(B, d(d(2, d(1, Q)), M)), M=d(J, E), O=d(d(2, d(1, d(2, d(d(2, d(1, A)), N)))), E), C=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(I, H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(D, N)))), E)))))), E)))))), N)))), E))), H)))))]).
mm_proof('pm2.67', d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), d(B, d(d(2, d(1, d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(B, C))))), E))), d(d(2, d(1, F)), d(C, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(I, E))))))), E)-[B=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), I=d(2, d(1, d(2, M))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), N)))), E)))))), A=d(2, d(1, H)), L=d(2, d(J, O)), P=d(3, d(L, M)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, O))))), E))), H=d(d(2, 1), 1), E=d(B, H), N=d(B, d(d(2, d(1, Q)), M)), M=d(J, E), O=d(d(2, d(1, d(2, d(d(2, d(1, A)), N)))), E), C=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(I, H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(D, N)))), E)))))), E)))))), N)))), E))), H)))))]).
mm_proof(exmid, d(d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G)-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(exmidd, d(1, d(d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G))-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof('pm2.13', d(d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H)-[C=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, H)))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), L=d(2, d(I, M)), N=d(3, d(L, O)), E=d(3, d(L, d(d(2, d(1, d(2, d(I, d(J, M))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, P)), O)), O=d(I, D), M=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(I, d(d(2, d(1, d(2, O))), G))), G), H=d(L, G), F=d(P, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(L, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof('pm2.68', d(d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(C, I))))), D))-[C=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), M)))), D)))))), H=d(2, d(1, G)), L=d(2, d(J, N)), O=d(3, d(L, I)), E=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, N))))), D))), G=d(d(2, 1), 1), D=d(C, G), M=d(C, d(d(2, d(1, P)), I)), I=d(J, D), N=d(d(2, d(1, d(2, d(d(2, d(1, H)), M)))), D), A=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(J, d(d(2, d(1, d(2, I))), G))), G), F=d(P, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), D))), G))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(B, M)))), D)))))), D)))))), M)))), D))), G)))))]).
mm_proof(dfor2, d(d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(B, d(C, d(d(2, d(d(2, d(1, 2)), d(D, d(1, E)))), d(B, d(F, d(d(2, d(1, d(2, d(1, d(G, H))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J)))), H)))), H)), d(d(2, d(1, d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(D, I))))), H))), d(d(2, d(1, L)), d(I, d(d(3, d(3, d(1, M))), M))))))), H)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), d(D, O))))), H)))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), G=d(2, d(1, N)), F=d(2, d(1, d(2, d(1, d(P, J))))), C=d(2, d(1, d(2, O))), K=d(2, d(1, d(2, A))), N=d(2, d(1, J)), P=d(2, d(B, Q)), R=d(3, d(P, O)), L=d(3, d(P, d(d(2, d(1, d(2, d(B, d(F, Q))))), H))), J=d(d(2, 1), 1), H=d(D, J), S=d(D, d(d(2, d(1, T)), O)), O=d(B, H), A=d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), S)))), H))), E=d(d(2, d(1, d(2, J))), H), Q=d(d(2, d(1, d(2, d(G, S)))), H), I=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(B, d(C, J))), J), M=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), H))), J))), d(3, d(P, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(K, S)))), H)))))), H)))))), S)))), H))), J)))))]).
mm_proof('pm2.07', d(d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1)-[C=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(C, G), K=d(C, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(B, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof('pm4.25', d(A, d(d(B, d(d(2, d(C, d(D, d(d(2, d(d(2, d(1, 2)), d(E, F))), d(C, d(G, d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J)), d(d(2, d(1, d(I, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1)))-[F=d(1, J), E=d(2, d(1, 1)), C=d(2, d(1, 3)), H=d(2, d(1, d(2, F))), G=d(2, d(1, d(2, d(1, d(K, J))))), D=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, B))), K=d(2, d(C, N)), O=d(3, d(K, L)), P=d(3, d(K, d(d(2, d(1, d(2, d(C, d(G, N))))), Q))), J=d(d(2, 1), 1), Q=d(E, J), R=d(E, d(d(2, d(1, S)), L)), L=d(C, Q), B=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), Q)))), R)))), Q))), N=d(d(2, d(1, d(2, d(H, R)))), Q), I=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(C, d(D, J))), J), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(E, I))))), Q))), d(d(2, d(1, P)), d(I, d(d(3, d(3, d(1, T))), T))))))), Q)), J), T=d(S, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), Q))), J))), d(3, d(K, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(M, R)))), Q)))))), Q)))))), R)))), Q))), J)))))]).
mm_proof('pm2.4', d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(C, D))))), F))), d(d(2, d(1, G)), d(D, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, F)))))), d(A, d(J, d(K, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, I)))), J=d(2, d(1, d(2, d(1, d(L, I))))), B=d(2, d(1, d(2, M))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), N)))), F)))))), L=d(2, d(A, O)), P=d(3, d(L, M)), G=d(3, d(L, d(d(2, d(1, d(2, d(A, d(J, O))))), F))), I=d(d(2, 1), 1), F=d(C, I), N=d(C, d(d(2, d(1, Q)), M)), M=d(A, F), O=d(d(2, d(1, d(2, d(K, N)))), F), D=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(A, d(B, I))), I), H=d(Q, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), F))), I))), d(3, d(L, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(A, d(J, d(d(2, d(1, d(2, d(E, N)))), F)))))), F)))))), N)))), F))), I)))))]).
mm_proof('pm2.41', d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(C, D))))), F))), d(d(2, d(1, G)), d(D, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1))))), d(A, d(J, d(K, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, I)))), J=d(2, d(1, d(2, d(1, d(L, I))))), B=d(2, d(1, d(2, M))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), N)))), F)))))), L=d(2, d(A, O)), P=d(3, d(L, M)), G=d(3, d(L, d(d(2, d(1, d(2, d(A, d(J, O))))), F))), I=d(d(2, 1), 1), F=d(C, I), N=d(C, d(d(2, d(1, Q)), M)), M=d(A, F), O=d(d(2, d(1, d(2, d(K, N)))), F), D=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(A, d(B, I))), I), H=d(Q, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), F))), I))), d(3, d(L, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(A, d(J, d(d(2, d(1, d(2, d(E, N)))), F)))))), F)))))), N)))), F))), I)))))]).
mm_proof(orim12i, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(F, G)))))), d(B, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(I, d(d(J, K), K))))), G)))))), L))))))))), M)-[E=d(2, d(1, 1)), D=d(2, d(1, 2)), N=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(O, M))))), C=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, J))), G=d(2, d(1, d(R, d(C, S)))), R=d(2, d(1, d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(E, I))))), S))), d(d(2, d(1, T)), d(I, d(d(3, d(3, d(1, U))), U))))))), S)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), O=d(2, d(N, V)), W=d(3, d(O, P)), T=d(3, d(O, d(d(2, d(1, d(2, d(N, d(H, V))))), S))), F=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), N), M=d(d(2, 1), 1), S=d(E, M), X=d(E, d(d(2, d(1, Y)), P)), P=d(N, S), J=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), S)))), X)))), S))), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), X)))), S), I=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(N, d(C, M))), M), K=d(d(2, d(N, d(C, d(d(2, d(D, d(E, d(1, d(R, 1))))), d(N, d(H, d(d(2, d(1, G)), L))))))), M), L=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(Y, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), S))), M))), d(3, d(O, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(N, d(H, d(d(2, d(1, d(2, d(Q, X)))), S)))))), S)))))), X)))), S))), M)))))]).
mm_proof(orim12dALT, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, D))))), G))), d(d(2, d(1, H)), d(D, d(d(3, d(3, d(1, I))), I))))))), G)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(M, G)))))), d(L, F)))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, 2)), 1), O), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(P, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(P, 2))), Q))))), G))))))))))), d(F, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G)-[F=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(R, J))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), Q)))), G)))))), R=d(2, d(N, S)), T=d(3, d(R, U)), H=d(3, d(R, d(d(2, d(1, d(2, d(N, d(O, S))))), G))), P=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), M), C=d(d(d(2, d(1, 2)), 1), P), B=d(d(d(2, d(1, 2)), 1), K), J=d(d(2, 1), 1), G=d(F, J), Q=d(F, d(d(2, d(1, V)), U)), U=d(N, G), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), Q)))), G), D=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(N, d(d(2, d(1, d(2, U))), J))), J), I=d(V, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), G))), J))), d(3, d(R, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(E, Q)))), G)))))), G)))))), Q)))), G))), J)))))]).
mm_proof(orbi2i, d(d(2, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(E, d(C, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(G, d(B, d(G, d(H, d(I, J))))))), K)))))))), L))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(E, d(C, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(G, d(B, d(G, d(H, d(I, d(d(d(d(2, d(1, 2)), 1), J), M)))))))), K)))))))), L))-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, L))))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, A))), V=d(2, d(1, d(W, d(S, X)))), W=d(2, d(1, d(J, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), R=d(2, d(P, Y)), Z=d(3, d(R, T)), A1=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, Y))))), X))), G=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), Q), D=d(d(d(2, d(1, 2)), 1), S), I=d(d(d(2, d(1, 2)), 1), V), H=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(J, d(d(A, B1), B1))))), E=d(d(d(2, d(1, 2)), 1), d(2, d(O, d(N, d(1, d(V, L)))))), L=d(d(2, 1), 1), X=d(N, L), C1=d(N, d(d(2, d(1, D1)), T)), T=d(P, X), A=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), X)))), C1)))), X))), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), C1)))), X), J=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(P, d(S, L))), L), B1=d(d(2, d(P, d(S, d(d(2, d(O, d(N, d(1, d(W, 1))))), d(P, d(Q, d(d(2, d(1, V)), K))))))), L), M=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(N, J))))), X))), d(d(2, d(1, A1)), d(J, d(d(3, d(3, d(1, E1))), E1))))))), X)), L), K=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(D1, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), X))), L))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(U, C1)))), X)))))), X)))))), C1)))), X))), L)))))]).
mm_proof(orbi12i, d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(D, E))))), F)))), d(d(d(d(2, d(1, 2)), 1), G), d(D, d(H, E))))-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(T, d(O, U)))), T=d(2, d(1, d(V, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), M=d(2, d(K, X)), Y=d(3, d(M, P)), Z=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, X))))), U))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), A1=d(d(d(2, d(1, 2)), 1), K), B1=d(d(d(2, d(1, 2)), 1), L), C1=d(d(d(2, d(1, 2)), 1), O), D1=d(d(d(2, d(1, 2)), 1), S), E1=d(d(d(2, d(1, 2)), 1), d(2, d(1, F1))), G1=d(d(d(2, d(1, 2)), 1), d(2, d(J, d(I, d(1, d(S, N)))))), A=d(d(d(2, d(1, 2)), 1), R), D=d(d(d(2, d(1, 2)), 1), V), H=d(d(d(2, d(1, 2)), 1), W), G=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(H, H1))))), N=d(d(2, 1), 1), U=d(I, N), I1=d(I, d(d(2, d(1, J1)), P)), P=d(K, U), R=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), U)))), I1)))), U))), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), I1)))), U), V=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(K, d(O, N))), N), K1=d(d(2, d(K, d(O, d(d(2, d(J, d(I, d(1, d(T, 1))))), d(K, d(L, d(d(2, d(1, S)), L1))))))), N), W=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, V))))), U))), d(d(2, d(1, Z)), d(V, d(d(3, d(3, d(1, M1))), M1))))))), U)), N), F=d(D, H1), N1=d(d(2, d(A, d(E1, F))), d(G, O1)), E=d(d(2, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, N1)))), F1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, O1))), d(D, d(H, N1)))), H1=d(d(2, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(A1, d(C1, d(G1, d(A1, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(E1, d(D1, V))))))), L1)))))))), N))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(A1, d(C1, d(G1, d(A1, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(E1, d(D1, d(D, W)))))))), L1)))))))), N)), L1=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(V, d(W, P1)), F1=d(V, P1), M1=d(J1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), U))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(Q, I1)))), U)))))), U)))))), I1)))), U))), N))))), P1=d(d(R, K1), K1)]).
mm_proof(orbi2d, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, d(I, F))))), d(C, d(J, D)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, R))), S=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, T))))), d(1, U)))), O=d(2, d(M, V)), W=d(3, d(O, X)), Y=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, V))))), T))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), R), E=d(d(d(2, d(1, 2)), 1), C), I=d(d(d(2, d(1, 2)), 1), J), A=d(d(d(2, d(1, 2)), 1), d(C, d(J, Z))), A1=d(d(d(2, d(1, 2)), 1), B1), P=d(d(2, 1), 1), C1=d(K, 1), T=d(K, P), D1=d(K, d(d(2, d(1, E1)), X)), X=d(M, T), R=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), D1)))), T))), U=d(d(2, d(1, d(2, P))), T), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), D1)))), T), C=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, Y)), d(C, d(d(3, d(3, d(1, G1))), G1))), E1=d(d(2, d(M, d(d(2, d(1, d(2, X))), P))), P), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, C))))), T))), F1)))), T)), P), H1=d(A1, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, B1))), K)), F=d(A1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, H1)))), d(C, I1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, d(J, I1))))), d(E, d(I, H1)))))), B1=d(C, Z), G1=d(E1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), T))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, D1)))), T)))))), T)))))), D1)))), T))), P))))), Z=d(d(R, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, d(L, d(2, d(1, F1)))))))), T))), d(L, d(2, d(1, C))))))), T)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, R)))), d(S, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), C1)))), T)))))), d(S, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), C1)))), T))))), I1=d(B1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(B1, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))]).
mm_proof(orbi1d, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, d(I, F))))), d(C, d(J, D)))))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(C, V))), W=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, X))))), d(1, Y)))), O=d(2, d(M, Z)), A1=d(3, d(O, R)), B1=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, Z))))), X))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), T), E=d(d(d(2, d(1, 2)), 1), C), I=d(d(d(2, d(1, 2)), 1), J), A=d(d(d(2, d(1, 2)), 1), d(C, d(J, C1))), D1=d(d(d(2, d(1, 2)), 1), E1), P=d(d(2, 1), 1), F1=d(K, 1), X=d(K, P), G1=d(K, d(d(2, d(1, H1)), R)), R=d(M, X), T=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), G1)))), X))), Y=d(d(2, d(1, d(2, P))), X), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), G1)))), X), C=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, B1)), d(C, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(M, d(Q, P))), P), K1=d(d(2, d(M, d(Q, d(d(2, d(L, d(K, d(1, d(U, 1))))), d(M, d(N, d(d(2, d(1, d(2, d(1, d(U, d(Q, X)))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(K, C))))), X))), I1)))), X)), P), L1=d(D1, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, E1))), K)), M1=d(D1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, N1)))), d(E, O1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, d(I, O1))))), d(C, d(J, N1)))))), O1=d(D1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, L1)))), d(C, P1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, d(J, P1))))), d(E, d(I, L1)))))), F=d(D1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(E, M1)))), d(C, Q1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, d(J, Q1))))), d(E, d(I, M1)))))), E1=d(C, C1), J1=d(H1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), X))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(S, G1)))), X)))))), X)))))), G1)))), X))), P))))), V=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R1=d(d(T, K1), K1), C1=d(d(T, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(K, d(L, d(2, d(1, I1)))))))), X))), d(L, d(2, d(1, C))))))), X)), P)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, T)))), d(W, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), F1)))), X)))))), d(W, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), X))))), P1=d(E1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(E1, d(1, V)), D=d(E1, d(1, d(J, R1))), Q1=d(E1, d(1, R1))]).
mm_proof(orbi1, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), P=d(2, d(1, d(C, Q))), R=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, S))))), d(1, T)))), K=d(2, d(I, U)), V=d(3, d(K, N)), W=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, U))))), S))), L=d(d(2, 1), 1), X=d(G, 1), S=d(G, L), Y=d(G, d(d(2, d(1, Z)), N)), N=d(I, S), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Y)))), S))), T=d(d(2, d(1, d(2, L))), S), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Y)))), S), C=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, W)), d(C, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(I, d(M, L))), L), C1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(P, 1))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(P, d(M, S)))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, C))))), S))), A1)))), S)), L), A=d(C, d(F, D1)), E1=d(C, D1), B1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), S))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, Y)))), S)))))), S)))))), Y)))), S))), L))))), Q=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F1=d(d(B, C1), C1), D1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(H, d(2, d(1, A1)))))))), S))), d(H, d(2, d(1, C))))))), S)), L)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), X)))), S)))))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), S))))), G1=d(E1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(E1, d(1, Q)), D=d(E1, d(1, d(F, F1))), I1=d(E1, d(1, F1)), J1=d(E1, d(d(2, d(1, E1)), S)), K1=d(E1, d(A, d(d(B, d(d(2, d(1, d(C, H1))), d(C, L1))), d(d(2, d(1, d(C, d(F, L1)))), d(C, d(F, H1)))))), L1=d(E1, d(A, d(d(B, d(d(2, d(1, d(C, J1))), d(C, G1))), d(d(2, d(1, d(C, d(F, G1)))), d(C, d(F, J1)))))), E=d(E1, d(A, d(d(B, d(d(2, d(1, d(C, K1))), d(C, I1))), d(d(2, d(1, d(C, d(F, I1)))), d(C, d(F, K1))))))]).
mm_proof(orbi12d, d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(D, E))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(F, d(G, d(D, d(H, E)))))), I)))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(U, V))), W=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, X))))), d(1, Y)))), N=d(2, d(L, Z)), A1=d(3, d(N, Q)), B1=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, Z))))), X))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), S), D=d(d(d(2, d(1, 2)), 1), U), H=d(d(d(2, d(1, 2)), 1), C1), A=d(d(d(2, d(1, 2)), 1), d(U, d(C1, D1))), E1=d(d(d(2, d(1, 2)), 1), F1), C=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, G1)))), O=d(d(2, 1), 1), H1=d(J, 1), X=d(J, O), I1=d(J, d(d(2, d(1, J1)), Q)), Q=d(L, X), S=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), I1)))), X))), Y=d(d(2, d(1, d(2, O))), X), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), I1)))), X), U=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, B1)), d(U, d(d(3, d(3, d(1, L1))), L1))), J1=d(d(2, d(L, d(P, O))), O), M1=d(d(2, d(L, d(P, d(d(2, d(K, d(J, d(1, d(T, 1))))), d(L, d(M, d(d(2, d(1, d(2, d(1, d(T, d(P, X)))))), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(J, U))))), X))), K1)))), X)), O), I=d(D, d(H, G1)), N1=d(E1, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, F1))), J)), G1=d(E1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(U, O1)))), d(D, P1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, d(H, P1))))), d(U, d(C1, O1)))))), E=d(E1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(U, Q1)))), d(D, R1)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, d(H, R1))))), d(U, d(C1, Q1)))))), P1=d(E1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(D, N1)))), d(U, S1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(U, d(C1, S1))))), d(D, d(H, N1)))))), R1=d(E1, d(A, d(d(2, d(B, d(C, d(U, T1)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(U, d(C1, T1))))), I)))), F1=d(U, D1), L1=d(J1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), X))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(R, I1)))), X)))))), X)))))), I1)))), X))), O))))), V=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U1=d(d(S, M1), M1), D1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(J, d(K, d(2, d(1, K1)))))))), X))), d(K, d(2, d(1, U))))))), X)), O)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, S)))), d(W, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), H1)))), X)))))), d(W, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), H1)))), X))))), S1=d(F1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(F1, d(1, V)), Q1=d(F1, d(1, d(C1, U1))), T1=d(F1, d(1, U1))]).
mm_proof('pm1.5', d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(E, d(F, G)))))), d(A, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(F, I))))), d(A, d(H, d(d(2, d(1, d(2, d(1, d(E, d(F, J)))))), K))))))), I))))), K))))))), I)-[D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(L, I))))), B=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, O))), F=d(2, d(1, G)), P=d(2, d(1, d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, Q))))), R))), d(d(2, d(1, S)), d(Q, d(d(3, d(3, d(1, T))), T))))))), R)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(1, d(Q, d(d(O, U), U)))), L=d(2, d(A, V)), W=d(3, d(L, M)), S=d(3, d(L, d(d(2, d(1, d(2, d(A, d(H, V))))), R))), I=d(d(2, 1), 1), R=d(D, I), X=d(D, d(d(2, d(1, Y)), M)), M=d(A, R), O=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), R)))), X)))), R))), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), X)))), R), Q=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J=d(P, 1), G=d(P, d(B, R)), Y=d(d(2, d(A, d(B, I))), I), U=d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, J)))), d(A, d(H, d(d(2, d(1, F)), K))))))), I), K=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(Y, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), R))), I))), d(3, d(L, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(A, d(H, d(d(2, d(1, d(2, d(N, X)))), R)))))), R)))))), X)))), R))), I)))))]).
mm_proof(or12, d(d(A, B), B)-[C=d(2, d(1, 1)), D=d(2, d(1, 2)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(G, H))))), I=d(2, d(1, d(2, J))), K=d(2, d(1, d(2, A))), L=d(2, d(1, M)), N=d(2, d(1, d(O, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(C, O))))), P))), d(d(2, d(1, Q)), d(O, d(d(3, d(3, d(1, R))), R))))))), P)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(1, d(O, d(d(A, T), T)))), G=d(2, d(E, U)), V=d(3, d(G, J)), Q=d(3, d(G, d(d(2, d(1, d(2, d(E, d(F, U))))), P))), H=d(d(2, 1), 1), P=d(C, H), W=d(C, d(d(2, d(1, X)), J)), J=d(E, P), A=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), P)))), W)))), P))), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), W)))), P), O=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(N, 1), M=d(N, d(I, P)), X=d(d(2, d(E, d(I, H))), H), T=d(d(2, d(E, d(I, d(d(2, d(D, d(C, d(1, Y)))), d(E, d(F, d(d(2, d(1, L)), Z))))))), H), B=d(d(2, d(E, d(I, d(d(2, d(D, d(C, d(1, d(S, d(L, M)))))), d(E, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(E, d(I, d(d(2, d(D, d(C, d(1, d(L, H))))), d(E, d(F, d(d(2, d(1, d(2, d(1, d(S, d(L, Y)))))), Z))))))), H))))), Z))))))), H), Z=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(X, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), P))), H))), d(3, d(G, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(K, W)))), P)))))), P)))))), W)))), P))), H)))))]).
mm_proof(orass, d(d(A, d(d(2, d(1, d(B, C))), D)), d(d(2, d(1, E)), d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, Q)), R=d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(1, D)), T=d(2, d(H, d(G, d(1, d(P, L))))), K=d(2, d(I, U)), V=d(3, d(K, N)), W=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, U))))), X))), L=d(d(2, 1), 1), X=d(G, L), Y=d(G, d(d(2, d(1, Z)), N)), N=d(I, X), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), X)))), Y)))), X))), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Y)))), X), B=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(R, 1), Q=d(R, d(M, X)), Z=d(d(2, d(I, d(M, L))), L), B1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, A1)))), d(I, d(J, d(d(2, d(1, P)), C1))))))), L), D1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(S, d(P, Q)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, A1)))))), C1))))))), L))))), C1))))))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, B))))), X))), d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, E1))), E1))))))), X)), L), C1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(B, d(F, F1)), D=d(B, F1), E1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), X))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, Y)))), X)))))), X)))))), Y)))), X))), L))))), C=d(d(A, d(d(2, d(1, d(B, G1))), d(B, H1))), d(d(2, d(1, d(B, d(F, H1)))), d(B, d(F, G1)))), G1=d(d(A, d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, D)))))), C1))))))), L)), d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, E)))))), C1))))))), L)), F1=d(d(A, B1), B1), H1=d(d(A, D1), D1)]).
mm_proof('pm2.31', d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), E)), d(d(2, d(1, F)), d(A, d(B, D))))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, C))), P=d(2, d(1, Q)), R=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(1, E)), T=d(2, d(H, d(G, d(1, d(P, L))))), K=d(2, d(I, U)), V=d(3, d(K, N)), W=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, U))))), X))), L=d(d(2, 1), 1), X=d(G, L), Y=d(G, d(d(2, d(1, Z)), N)), N=d(I, X), C=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), X)))), Y)))), X))), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Y)))), X), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(R, 1), Q=d(R, d(M, X)), Z=d(d(2, d(I, d(M, L))), L), B1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, A1)))), d(I, d(J, d(d(2, d(1, P)), C1))))))), L), D1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(S, d(P, Q)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, A1)))))), C1))))))), L))))), C1))))))), L), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, A))))), X))), d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, E1))), E1))))))), X)), L), C1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(A, d(B, F1)), E=d(A, F1), E1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), X))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, Y)))), X)))))), X)))))), Y)))), X))), L))))), D=d(d(C, d(d(2, d(1, d(A, G1))), d(A, H1))), d(d(2, d(1, d(A, d(B, H1)))), d(A, d(B, G1)))), G1=d(d(C, d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, E)))))), C1))))))), L)), d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, F)))))), C1))))))), L)), F1=d(d(C, B1), B1), H1=d(d(C, D1), D1)]).
mm_proof('pm2.32', d(A, d(d(B, d(d(2, d(1, d(A, C))), D)), d(d(2, d(1, E)), d(A, d(F, C)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), P=d(2, d(1, Q)), R=d(2, d(1, d(A, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(1, D)), T=d(2, d(H, d(G, d(1, d(P, L))))), K=d(2, d(I, U)), V=d(3, d(K, N)), W=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, U))))), X))), L=d(d(2, 1), 1), X=d(G, L), Y=d(G, d(d(2, d(1, Z)), N)), N=d(I, X), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), X)))), Y)))), X))), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Y)))), X), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(R, 1), Q=d(R, d(M, X)), Z=d(d(2, d(I, d(M, L))), L), B1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, A1)))), d(I, d(J, d(d(2, d(1, P)), C1))))))), L), D1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(S, d(P, Q)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, A1)))))), C1))))))), L))))), C1))))))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, A))))), X))), d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, E1))), E1))))))), X)), L), C1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(A, d(F, F1)), D=d(A, F1), E1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), X))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, Y)))), X)))))), X)))))), Y)))), X))), L))))), C=d(d(B, d(d(2, d(1, d(A, G1))), d(A, H1))), d(d(2, d(1, d(A, d(F, H1)))), d(A, d(F, G1)))), G1=d(d(B, d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, D)))))), C1))))))), L)), d(d(2, d(I, d(M, d(T, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, E)))))), C1))))))), L)), F1=d(d(B, B1), B1), H1=d(d(B, D1), D1)]).
mm_proof('pm2.3', d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(E, F))))), d(A, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(H, d(d(I, J), J)))), d(E, J)))))), K))))))), F)-[D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(L, F))))), B=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, I))), E=d(2, d(1, d(O, d(B, P)))), O=d(2, d(1, d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, H))))), P))), d(d(2, d(1, Q)), d(H, d(d(3, d(3, d(1, R))), R))))))), P)), F), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), L=d(2, d(A, S)), T=d(3, d(L, M)), Q=d(3, d(L, d(d(2, d(1, d(2, d(A, d(G, S))))), P))), F=d(d(2, 1), 1), P=d(D, F), U=d(D, d(d(2, d(1, V)), M)), M=d(A, P), I=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), P)))), U)))), P))), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), U)))), P), H=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(A, d(B, F))), F), J=d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(O, 1))))), d(A, d(G, d(d(2, d(1, E)), K))))))), F), K=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(V, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), P))), F))), d(3, d(L, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(A, d(G, d(d(2, d(1, d(2, d(N, U)))), P)))))), P)))))), U)))), P))), F)))))]).
mm_proof(or32, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, A))), O=d(2, d(1, P)), Q=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), R=d(2, d(1, d(B, d(E, S)))), T=d(2, d(1, U)), V=d(2, d(G, d(F, d(1, d(O, K))))), J=d(2, d(H, W)), X=d(3, d(J, M)), Y=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, W))))), Z))), K=d(d(2, 1), 1), Z=d(F, K), A1=d(F, d(d(2, d(1, B1)), M)), M=d(H, Z), A=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), Z)))), A1)))), Z))), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), A1)))), Z), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(Q, 1), P=d(Q, d(L, Z)), B1=d(d(2, d(H, d(L, K))), K), D1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, C1)))), d(H, d(I, d(d(2, d(1, O)), E1))))))), K), F1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, d(T, d(O, P)))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(H, d(L, d(V, d(H, d(I, d(d(2, d(1, d(2, d(1, d(T, d(O, C1)))))), E1))))))), K))))), E1))))))), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, B))))), Z))), d(d(2, d(1, Y)), d(B, d(d(3, d(3, d(1, G1))), G1))))))), Z)), K), E1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H1=d(B, d(E, I1)), U=d(B, I1), J1=d(B, S), G1=d(B1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), Z))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(N, A1)))), Z)))))), Z)))))), A1)))), Z))), K))))), D=d(d(A, d(d(2, d(1, d(B, K1))), U)), d(d(2, d(1, H1)), d(B, d(E, K1)))), K1=d(d(A, d(d(2, d(1, d(B, L1))), J1)), d(R, d(B, d(E, L1)))), C=d(d(A, d(T, J1)), d(R, H1)), L1=d(d(A, d(d(2, d(H, d(L, d(V, d(H, d(I, d(d(2, d(1, d(2, d(1, d(T, d(O, U)))))), E1))))))), K)), d(d(2, d(H, d(L, d(V, d(H, d(I, d(d(2, d(1, d(2, d(1, d(T, d(O, H1)))))), E1))))))), K)), I1=d(d(A, D1), D1), S=d(d(A, F1), F1)]).
mm_proof(or4, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, Q)), R=d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(1, d(B, S))), T=d(2, d(1, U)), V=d(2, d(H, d(G, d(1, d(P, L))))), K=d(2, d(I, W)), X=d(3, d(K, N)), Y=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, W))))), Z))), L=d(d(2, 1), 1), Z=d(G, L), A1=d(G, d(d(2, d(1, B1)), N)), N=d(I, Z), A=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), Z)))), A1)))), Z))), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), A1)))), Z), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(R, 1), Q=d(R, d(M, Z)), B1=d(d(2, d(I, d(M, L))), L), D1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, C1)))), d(I, d(J, d(d(2, d(1, P)), E1))))))), L), F1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(T, d(P, Q)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(M, d(V, d(I, d(J, d(d(2, d(1, d(2, d(1, d(T, d(P, C1)))))), E1))))))), L))))), E1))))))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, B))))), Z))), d(d(2, d(1, Y)), d(B, d(d(3, d(3, d(1, G1))), G1))))))), Z)), L), E1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H1=d(B, d(F, I1)), J1=d(B, d(F, K1)), U=d(B, I1), L1=d(B, K1), G1=d(B1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), Z))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, A1)))), Z)))))), Z)))))), A1)))), Z))), L))))), S=d(F, D), C=d(d(A, d(E, d(B, M1))), d(d(2, d(1, d(B, d(F, M1)))), d(B, d(F, S)))), D=d(d(A, d(d(2, d(1, d(B, N1))), U)), d(d(2, d(1, H1)), d(B, d(F, N1)))), N1=d(d(A, d(d(2, d(1, d(B, O1))), L1)), d(d(2, d(1, J1)), d(B, d(F, O1)))), O1=d(d(A, d(d(2, d(I, d(M, d(V, d(I, d(J, d(d(2, d(1, d(2, d(1, d(T, d(P, U)))))), E1))))))), L)), d(d(2, d(I, d(M, d(V, d(I, d(J, d(d(2, d(1, d(2, d(1, d(T, d(P, H1)))))), E1))))))), L)), M1=d(d(A, d(d(2, d(I, d(M, d(V, d(I, d(J, d(d(2, d(1, d(2, d(1, d(T, d(P, L1)))))), E1))))))), L)), d(d(2, d(I, d(M, d(V, d(I, d(J, d(d(2, d(1, d(2, d(1, d(T, d(P, J1)))))), E1))))))), L)), I1=d(d(A, D1), D1), K1=d(d(A, F1), F1)]).
mm_proof(or42, d(d(A, d(B, d(C, D))), d(d(2, d(1, d(C, d(E, D)))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, Q)), R=d(2, d(1, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(1, d(C, T))), B=d(2, d(1, d(C, U))), V=d(2, d(1, W)), X=d(2, d(H, d(G, d(1, d(P, L))))), K=d(2, d(I, Y)), Z=d(3, d(K, N)), A1=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, Y))))), B1))), L=d(d(2, 1), 1), B1=d(G, L), C1=d(G, d(d(2, d(1, D1)), N)), N=d(I, B1), A=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), B1)))), C1)))), B1))), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), C1)))), B1), C=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(R, 1), Q=d(R, d(M, B1)), D1=d(d(2, d(I, d(M, L))), L), F1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, E1)))), d(I, d(J, d(d(2, d(1, P)), G1))))))), L), H1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(V, d(P, Q)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(M, d(X, d(I, d(J, d(d(2, d(1, d(2, d(1, d(V, d(P, E1)))))), G1))))))), L))))), G1))))))), L), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, C))))), B1))), d(d(2, d(1, A1)), d(C, d(d(3, d(3, d(1, I1))), I1))))))), B1)), L), G1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(C, d(E, U)), J1=d(C, d(E, K1)), L1=d(C, d(E, M1)), W=d(C, K1), N1=d(C, M1), I1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), B1))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, C1)))), B1)))))), B1)))))), C1)))), B1))), L))))), T=d(E, O1), P1=d(d(A, d(S, d(C, Q1))), d(d(2, d(1, d(C, d(E, Q1)))), d(C, d(E, T)))), D=d(d(A, d(d(2, d(1, d(C, P1))), d(C, O1))), d(S, d(C, d(E, P1)))), O1=d(d(A, d(d(2, d(1, d(C, R1))), W)), d(d(2, d(1, J1)), d(C, d(E, R1)))), R1=d(d(A, d(B, N1)), d(d(2, d(1, L1)), F)), U=d(d(A, d(d(2, d(I, d(M, d(X, d(I, d(J, d(d(2, d(1, d(2, d(1, d(V, d(P, W)))))), G1))))))), L)), d(d(2, d(I, d(M, d(X, d(I, d(J, d(d(2, d(1, d(2, d(1, d(V, d(P, J1)))))), G1))))))), L)), Q1=d(d(A, d(d(2, d(I, d(M, d(X, d(I, d(J, d(d(2, d(1, d(2, d(1, d(V, d(P, N1)))))), G1))))))), L)), d(d(2, d(I, d(M, d(X, d(I, d(J, d(d(2, d(1, d(2, d(1, d(V, d(P, L1)))))), G1))))))), L)), K1=d(d(A, F1), F1), M1=d(d(A, H1), H1)]).
mm_proof(orordi, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, F))), L=d(2, d(1, d(2, d(1, d(M, G))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, A))), Q=d(2, d(1, R)), S=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), T=d(2, d(1, d(B, U))), V=d(2, d(1, W)), X=d(2, d(1, Y)), Z=d(2, d(I, d(H, d(1, d(Q, G))))), M=d(2, d(J, A1)), B1=d(3, d(M, O)), C1=d(3, d(M, d(d(2, d(1, d(2, d(J, d(L, A1))))), D1))), G=d(d(2, 1), 1), D1=d(H, G), E1=d(H, d(d(2, d(1, F1)), O)), O=d(J, D1), A=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D1)))), E1)))), D1))), A1=d(d(2, d(1, d(2, d(K, E1)))), D1), B=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(S, 1), R=d(S, d(N, D1)), F1=d(d(2, d(J, d(N, G))), G), H1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, G1)))), d(J, d(L, d(d(2, d(1, Q)), I1))))))), G), J1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(X, d(Q, R)))))), d(J, d(L, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(N, d(Z, d(J, d(L, d(d(2, d(1, d(2, d(1, d(X, d(Q, G1)))))), I1))))))), G))))), I1))))))), G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, B))))), D1))), d(d(2, d(1, C1)), d(B, d(d(3, d(3, d(1, K1))), K1))))))), D1)), G), I1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(B, d(E, L1)), M1=d(B, d(E, N1)), Y=d(B, L1), O1=d(B, N1), K1=d(F1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), D1))), G))), d(3, d(M, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(J, d(L, d(d(2, d(1, d(2, d(P, E1)))), D1)))))), D1)))))), E1)))), D1))), G))))), U=d(E, P1), D=d(E, d(d(A, d(d(2, d(1, d(B, Q1))), Y)), d(V, d(B, d(E, Q1))))), R1=d(d(A, d(T, d(B, S1))), d(d(2, d(1, d(B, d(E, S1)))), d(B, d(E, U)))), C=d(d(A, d(d(2, d(1, d(B, R1))), d(B, P1))), d(T, d(B, d(E, R1)))), P1=d(d(A, d(d(2, d(1, d(B, T1))), Y)), d(V, d(B, d(E, T1)))), T1=d(d(A, d(d(2, d(1, d(B, U1))), O1)), d(d(2, d(1, M1)), d(B, d(E, U1)))), Q1=d(d(A, d(X, d(B, V1))), d(d(2, d(1, d(B, d(E, V1)))), W)), W1=d(d(A, d(d(2, d(J, d(N, d(d(2, d(I, d(H, F))), d(J, d(L, d(K, I1))))))), G)), G1), V1=d(d(A, d(d(2, d(J, d(N, d(Z, d(J, d(L, d(d(2, d(1, d(2, d(1, d(X, d(Q, d(B, W1))))))), I1))))))), G)), d(d(2, d(J, d(N, d(Z, d(J, d(L, d(d(2, d(1, d(2, d(1, d(X, d(Q, d(B, d(E, W1)))))))), I1))))))), G)), U1=d(d(A, d(d(2, d(J, d(N, d(Z, d(J, d(L, d(d(2, d(1, d(2, d(1, d(X, d(Q, Y)))))), I1))))))), G)), d(d(2, d(J, d(N, d(Z, d(J, d(L, d(d(2, d(1, d(2, d(1, d(X, d(Q, W)))))), I1))))))), G)), S1=d(d(A, d(d(2, d(J, d(N, d(Z, d(J, d(L, d(d(2, d(1, d(2, d(1, d(X, d(Q, O1)))))), I1))))))), G)), d(d(2, d(J, d(N, d(Z, d(J, d(L, d(d(2, d(1, d(2, d(1, d(X, d(Q, M1)))))), I1))))))), G)), L1=d(d(A, H1), H1), N1=d(d(A, J1), J1)]).
mm_proof(orordir, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, F))), L=d(2, d(1, d(2, d(1, d(M, G))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, A))), Q=d(2, d(1, R)), S=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), T=d(2, d(1, d(B, U))), V=d(2, d(1, W)), X=d(2, d(I, d(H, d(1, d(Q, G))))), M=d(2, d(J, Y)), Z=d(3, d(M, O)), A1=d(3, d(M, d(d(2, d(1, d(2, d(J, d(L, Y))))), B1))), G=d(d(2, 1), 1), B1=d(H, G), C1=d(H, d(d(2, d(1, D1)), O)), O=d(J, B1), A=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), B1)))), C1)))), B1))), Y=d(d(2, d(1, d(2, d(K, C1)))), B1), B=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(S, 1), R=d(S, d(N, B1)), D1=d(d(2, d(J, d(N, G))), G), F1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, E1)))), d(J, d(L, d(d(2, d(1, Q)), G1))))))), G), H1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(V, d(Q, R)))))), d(J, d(L, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(N, d(X, d(J, d(L, d(d(2, d(1, d(2, d(1, d(V, d(Q, E1)))))), G1))))))), G))))), G1))))))), G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, B))))), B1))), d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, I1))), I1))))))), B1)), G), G1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(B, d(E, K1)), L1=d(B, d(E, M1)), W=d(B, K1), N1=d(B, M1), I1=d(D1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), B1))), G))), d(3, d(M, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(J, d(L, d(d(2, d(1, d(2, d(P, C1)))), B1)))))), B1)))))), C1)))), B1))), G))))), U=d(E, O1), D=d(E, d(d(A, d(d(2, d(J, d(N, d(X, d(J, d(L, d(d(2, d(1, d(2, d(1, d(V, d(Q, d(B, P1))))))), G1))))))), G)), d(d(2, d(J, d(N, d(X, d(J, d(L, d(d(2, d(1, d(2, d(1, d(V, d(Q, d(B, d(E, P1)))))))), G1))))))), G))), Q1=d(d(A, d(T, d(B, R1))), d(d(2, d(1, d(B, d(E, R1)))), d(B, d(E, U)))), C=d(d(A, d(d(2, d(1, d(B, Q1))), d(B, O1))), d(T, d(B, d(E, Q1)))), O1=d(d(A, d(d(2, d(1, d(B, S1))), W)), d(d(2, d(1, J1)), d(B, d(E, S1)))), S1=d(d(A, d(d(2, d(1, d(B, T1))), N1)), d(d(2, d(1, L1)), d(B, d(E, T1)))), P1=d(d(A, d(d(2, d(J, d(N, d(d(2, d(I, d(H, F))), d(J, d(L, d(K, G1))))))), G)), E1), T1=d(d(A, d(d(2, d(J, d(N, d(X, d(J, d(L, d(d(2, d(1, d(2, d(1, d(V, d(Q, W)))))), G1))))))), G)), d(d(2, d(J, d(N, d(X, d(J, d(L, d(d(2, d(1, d(2, d(1, d(V, d(Q, J1)))))), G1))))))), G)), R1=d(d(A, d(d(2, d(J, d(N, d(X, d(J, d(L, d(d(2, d(1, d(2, d(1, d(V, d(Q, N1)))))), G1))))))), G)), d(d(2, d(J, d(N, d(X, d(J, d(L, d(d(2, d(1, d(2, d(1, d(V, d(Q, L1)))))), G1))))))), G)), K1=d(d(A, F1), F1), M1=d(d(A, H1), H1)]).
mm_proof(orimdi, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, C))))-[E=d(1, F), G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, K))))), L=d(2, d(1, d(2, d(1, d(M, F))))), N=d(2, d(1, d(2, F))), O=d(2, d(1, d(2, A))), P=d(2, d(1, B)), Q=d(2, d(H, d(J, d(1, R)))), S=d(2, d(H, d(J, d(H, d(G, E))))), M=d(2, d(I, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(I, d(L, T))))), K))), F=d(d(2, 1), 1), X=d(G, 1), K=d(G, F), Y=d(G, d(d(2, d(1, Z)), V)), V=d(I, K), A1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), K)), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), R=d(N, K), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), Y)))), K), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, C1))), C1))), Z=d(d(2, d(I, d(d(2, d(1, d(2, V))), F))), F), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, B))))), K))), B1)))), K)), F), D1=d(B, E1), C1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), K))), F))), d(3, d(M, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(I, d(L, d(d(2, d(1, d(2, d(O, Y)))), K)))))), K)))))), Y)))), K))), F))))), F1=d(D, d(d(d(d(2, d(1, d(2, d(1, d(d(B, d(D, E1)), d(d(A, d(d(2, d(1, d(B, G1))), d(B, H1))), d(d(2, d(1, d(B, d(D, H1)))), d(B, d(D, G1))))))))), A1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(A, 2), d(Q, d(G, d(d(2, d(1, d(2, d(N, X)))), K)))), C=d(d(A, d(d(2, d(1, d(B, F1))), d(B, I1))), d(d(2, d(1, d(B, d(D, I1)))), d(B, d(D, F1)))), E1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(H, d(2, d(1, B1)))))))), K))), d(H, P))))), K)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(Q, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), K)))))), d(Q, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), X)))), K))))), G1=d(D1, d(d(2, d(1, D1)), d(G, W))), H1=d(D1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(S, d(G, d(P, U)))))))), K))), d(S, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(d(2, d(1, d(B, d(d(A, D), D)))), U))))), K)))), K))))))), K)), F))]).
mm_proof('pm2.76', d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(A, d(D, C)))))-[E=d(1, F), G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, K))))), L=d(2, d(1, d(2, d(1, d(M, F))))), N=d(2, d(1, d(2, F))), O=d(2, d(1, d(2, B))), P=d(2, d(1, A)), Q=d(2, d(H, d(J, d(1, R)))), S=d(2, d(H, d(J, d(H, d(G, E))))), M=d(2, d(I, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(I, d(L, T))))), K))), F=d(d(2, 1), 1), X=d(G, 1), K=d(G, F), Y=d(G, d(d(2, d(1, Z)), V)), V=d(I, K), A1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), K)), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), R=d(N, K), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), Y)))), K), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, C1))), C1))), Z=d(d(2, d(I, d(d(2, d(1, d(2, V))), F))), F), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, A))))), K))), B1)))), K)), F), D1=d(A, E1), C1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), K))), F))), d(3, d(M, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(I, d(L, d(d(2, d(1, d(2, d(O, Y)))), K)))))), K)))))), Y)))), K))), F))))), F1=d(D, d(d(d(d(2, d(1, d(2, d(1, d(d(A, d(D, E1)), d(d(B, d(d(2, d(1, d(A, G1))), d(A, H1))), d(d(2, d(1, d(A, d(D, H1)))), d(A, d(D, G1))))))))), A1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(B, 2), d(Q, d(G, d(d(2, d(1, d(2, d(N, X)))), K)))), C=d(d(B, d(d(2, d(1, d(A, F1))), d(A, I1))), d(d(2, d(1, d(A, d(D, I1)))), d(A, d(D, F1)))), E1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(H, d(2, d(1, B1)))))))), K))), d(H, P))))), K)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(Q, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), K)))))), d(Q, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), X)))), K))))), G1=d(D1, d(d(2, d(1, D1)), d(G, W))), H1=d(D1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(S, d(G, d(P, U)))))))), K))), d(S, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(d(2, d(1, d(A, d(d(B, D), D)))), U))))), K)))), K))))))), K)), F))]).
mm_proof('pm2.85', d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(A, d(B, D))))))-[E=d(1, F), G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, K))))), L=d(2, d(1, d(2, d(1, d(M, F))))), N=d(2, d(1, d(2, F))), O=d(2, d(1, d(2, C))), P=d(2, d(1, A)), Q=d(2, d(H, d(J, d(1, R)))), S=d(2, d(H, d(J, d(H, d(G, E))))), M=d(2, d(I, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(I, d(L, T))))), K))), F=d(d(2, 1), 1), X=d(G, 1), K=d(G, F), Y=d(G, d(d(2, d(1, Z)), V)), V=d(I, K), A1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), K)), C=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), R=d(N, K), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), Y)))), K), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, C1))), C1))), Z=d(d(2, d(I, d(d(2, d(1, d(2, V))), F))), F), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, A))))), K))), B1)))), K)), F), D1=d(A, E1), C1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), K))), F))), d(3, d(M, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(I, d(L, d(d(2, d(1, d(2, d(O, Y)))), K)))))), K)))))), Y)))), K))), F))))), F1=d(B, d(d(d(d(2, d(1, d(2, d(1, d(d(A, d(B, E1)), d(d(C, d(d(2, d(1, d(A, G1))), d(A, H1))), d(d(2, d(1, d(A, d(B, H1)))), d(A, d(B, G1))))))))), A1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(C, 2), d(Q, d(G, d(d(2, d(1, d(2, d(N, X)))), K)))), D=d(d(C, d(d(2, d(1, d(A, F1))), d(A, I1))), d(d(2, d(1, d(A, d(B, I1)))), d(A, d(B, F1)))), E1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(H, d(2, d(1, B1)))))))), K))), d(H, P))))), K)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(Q, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), K)))))), d(Q, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), X)))), K))))), G1=d(D1, d(d(2, d(1, D1)), d(G, W))), H1=d(D1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(S, d(G, d(P, U)))))))), K))), d(S, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(d(2, d(1, d(A, d(d(C, B), B)))), U))))), K)))), K))))))), K)), F))]).
mm_proof('pm2.75', d(d(2, d(1, d(2, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(A, d(D, C)))))))), E)-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, E))))), L=d(2, d(1, d(2, d(1, d(M, G))))), N=d(2, d(1, d(2, G))), O=d(2, d(1, d(2, B))), P=d(2, d(1, A)), Q=d(2, d(I, d(K, d(1, R)))), S=d(2, d(I, d(K, d(I, d(H, F))))), M=d(2, d(J, T)), U=d(3, d(M, V)), W=d(3, d(M, d(d(2, d(1, d(2, d(J, d(L, T))))), E))), G=d(d(2, 1), 1), X=d(H, 1), E=d(H, G), Y=d(H, d(d(2, d(1, Z)), V)), V=d(J, E), A1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), E)), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), R=d(N, E), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), Y)))), E), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, C1))), C1))), Z=d(d(2, d(J, d(d(2, d(1, d(2, V))), G))), G), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, A))))), E))), B1)))), E)), G), D1=d(A, E1), C1=d(Z, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), E))), G))), d(3, d(M, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(J, d(L, d(d(2, d(1, d(2, d(O, Y)))), E)))))), E)))))), Y)))), E))), G))))), F1=d(D, d(d(d(d(2, d(1, d(2, d(1, d(d(A, d(D, E1)), d(d(B, d(d(2, d(1, d(A, G1))), d(A, H1))), d(d(2, d(1, d(A, d(D, H1)))), d(A, d(D, G1))))))))), A1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(B, 2), d(Q, d(H, d(d(2, d(1, d(2, d(N, X)))), E)))), C=d(d(B, d(d(2, d(1, d(A, F1))), d(A, I1))), d(d(2, d(1, d(A, d(D, I1)))), d(A, d(D, F1)))), E1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(I, d(2, d(1, B1)))))))), E))), d(I, P))))), E)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(Q, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), E)))))), d(Q, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), X)))), E))))), G1=d(D1, d(d(2, d(1, D1)), d(H, W))), H1=d(D1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(S, d(H, d(P, U)))))))), E))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(d(2, d(1, d(A, d(d(B, D), D)))), U))))), E)))), E))))))), E)), G))]).
mm_proof('pm4.78', d(A, d(d(B, d(d(2, d(1, d(C, D))), E)), d(d(2, d(1, F)), d(C, d(A, D)))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, G))), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, B))), R=d(2, d(1, C)), S=d(2, d(1, T)), U=d(2, d(1, d(C, V))), W=d(2, d(1, d(C, X))), Y=d(2, d(1, d(C, d(A, Z)))), A1=d(2, d(1, B1)), C1=d(2, d(1, D1)), E1=d(2, d(J, d(I, d(1, d(S, H))))), F1=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, G1))))), H1))), I1=d(2, d(K, J1)), K1=d(3, d(I1, P)), L1=d(3, d(I1, d(d(2, d(1, d(2, d(K, d(M, J1))))), G1))), H=d(d(2, 1), 1), G1=d(I, H), M1=d(I, N1), H1=d(J, d(I, G)), P=d(K, G1), B=d(d(2, d(1, d(2, d(1, d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), G1)))), M1)))), G1))), J1=d(d(2, d(1, d(2, d(L, M1)))), G1), C=d(d(2, d(1, K1)), d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, O1)), P), P1=d(U, 1), T=d(U, d(O, G1)), O1=d(d(2, d(K, d(O, H))), H), Q1=d(d(2, d(K, d(O, d(d(2, d(J, d(I, d(1, P1)))), d(K, d(M, d(d(2, d(1, S)), R1))))))), H), S1=d(d(2, d(K, d(O, d(d(2, d(J, d(I, d(1, d(C1, d(S, T)))))), d(K, d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, P1)))))), R1))))))), H))))), R1))))))), H), N=d(I1, H), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, C))))), G1))), d(d(2, d(1, L1)), d(C, d(d(3, d(3, d(1, T1))), T1))))))), G1)), H), R1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(C, d(A, U1)), B1=d(C, d(A, V1)), W1=d(C, d(A, X1)), E=d(C, U1), Y1=d(C, Z), D1=d(C, V1), Z1=d(C, X1), T1=d(O1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1)))), G1))), H))), d(3, d(I1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I1, d(d(2, d(1, d(2, d(K, d(M, d(d(2, d(1, d(2, d(Q, M1)))), G1)))))), G1)))))), M1)))), G1))), H))))), V=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A2=d(A, d(d(B, d(d(2, d(1, d(C, B2))), Y1)), d(Y, d(C, d(A, B2))))), X=d(A, C2), D2=d(A, d(d(B, d(d(2, d(1, d(C, E2))), D1)), d(A1, d(C, d(A, E2))))), F2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(F1, d(I, d(R, H)))))))), G1))), d(F1, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(d(2, d(1, d(C, d(d(B, A), A)))), H))))), G1)))), G1))))))), G1)), H), d(d(B, N), N1)), U1=d(d(B, d(U, d(C, F2))), d(d(2, d(1, d(C, d(A, F2)))), d(C, d(A, V)))), D=d(d(B, d(d(2, d(1, d(C, A2))), d(C, G2))), d(d(2, d(1, d(C, d(A, G2)))), d(C, d(A, A2)))), H2=d(d(B, d(W, d(C, I2))), d(d(2, d(1, d(C, d(A, I2)))), d(C, d(A, X)))), J2=d(d(B, d(d(2, d(1, d(C, H2))), d(C, C2))), d(W, d(C, d(A, H2)))), G2=d(d(B, d(d(2, d(1, d(C, J2))), d(C, D2))), d(d(2, d(1, d(C, d(A, D2)))), d(C, d(A, J2)))), C2=d(d(B, d(d(2, d(1, d(C, K2))), D1)), d(A1, d(C, d(A, K2)))), B2=d(d(B, d(d(2, d(1, d(C, L2))), D1)), d(A1, d(C, d(A, L2)))), K2=d(d(B, d(d(2, d(1, d(C, M2))), Z1)), d(d(2, d(1, W1)), d(C, d(A, M2)))), L2=d(d(B, d(C1, Y1)), d(Y, B1)), E2=d(d(B, d(C1, d(C, N2))), d(d(2, d(1, d(C, d(A, N2)))), B1)), O2=d(d(B, d(d(2, d(K, d(O, d(d(2, H1), d(K, d(M, d(L, R1))))))), H)), P1), Z=d(d(B, d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, E)))))), R1))))))), H)), d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, F)))))), R1))))))), H)), N2=d(d(B, d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, d(C, O2))))))), R1))))))), H)), d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, d(C, d(A, O2)))))))), R1))))))), H)), M2=d(d(B, d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, D1)))))), R1))))))), H)), d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, B1)))))), R1))))))), H)), I2=d(d(B, d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, Z1)))))), R1))))))), H)), d(d(2, d(K, d(O, d(E1, d(K, d(M, d(d(2, d(1, d(2, d(1, d(C1, d(S, W1)))))), R1))))))), H)), V1=d(d(B, Q1), Q1), X1=d(d(B, S1), S1)]).
mm_proof(biort, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, 1))))), C))), 1)))), C)))), d(B, d(d(2, d(1, d(D, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, D))))), C))), d(d(2, d(1, E)), d(D, d(d(3, d(3, d(1, F))), F))))))), C)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(H, C))))))), C))), G)), G)-[B=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, G))))), H=d(2, d(1, d(2, L))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), C)))), M)))), C)))))), K=d(2, d(I, N)), O=d(3, d(K, L)), E=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, N))))), C))), G=d(d(2, 1), 1), C=d(B, G), M=d(B, d(d(2, d(1, P)), L)), L=d(I, C), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), M)))), C), D=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(I, d(H, G))), G), F=d(P, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), C))), G))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(A, M)))), C)))))), C)))))), M)))), C))), G)))))]).
mm_proof(biorf, d(d(2, d(1, d(A, d(d(B, C), C)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(1, d(d(2, d(1, d(A, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1))))))), F))), d(d(2, d(1, d(2, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F))))), F)), G))-[E=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), D=d(2, d(1, d(2, B))), J=d(2, d(H, K)), L=d(3, d(J, M)), N=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, K))))), F))), G=d(d(2, 1), 1), F=d(E, G), O=d(E, d(d(2, d(1, P)), M)), M=d(H, F), B=d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), O)))), F))), K=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), O)))), F), A=d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(H, d(d(2, d(1, d(2, M))), G))), G), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, A))))), F))), d(d(2, d(1, N)), d(A, d(d(3, d(3, d(1, Q))), Q))))))), F)), G), Q=d(P, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), F))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(D, O)))), F)))))), F)))))), O)))), F))), G)))))]).
mm_proof(biortn, d(d(2, d(1, d(d(2, d(1, d(A, d(d(B, C), C)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(1, d(d(2, d(1, d(A, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1))))))), F))), d(d(2, d(1, d(2, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F))))), F)), G)))), H)-[E=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, H)))), D=d(2, d(1, d(2, B))), K=d(2, d(I, L)), M=d(3, d(K, N)), O=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, L))))), F))), G=d(d(2, 1), 1), F=d(E, G), P=d(E, d(d(2, d(1, Q)), N)), N=d(I, F), B=d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), P)))), F))), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), P)))), F), A=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(I, d(d(2, d(1, d(2, N))), G))), G), H=d(K, G), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, A))))), F))), d(d(2, d(1, O)), d(A, d(d(3, d(3, d(1, R))), R))))))), F)), G), R=d(Q, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), F))), G))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(D, P)))), F)))))), F)))))), P)))), F))), G)))))]).
mm_proof(biorfi, d(d(d(d(2, d(1, 2)), 1), d(A, d(d(2, d(1, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(I, E)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(J, d(K, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), 1))-[D=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), I=d(2, d(1, d(2, M))), C=d(2, d(1, d(2, A))), L=d(2, d(J, N)), O=d(3, d(L, M)), F=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, N))))), E))), H=d(d(2, 1), 1), E=d(D, H), P=d(D, d(d(2, d(1, Q)), M)), M=d(J, E), A=d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), P)))), E))), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), P)))), E), B=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(J, d(I, H))), H), G=d(Q, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), E))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(C, P)))), E)))))), E)))))), P)))), E))), H)))))]).
mm_proof('pm2.26', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), F)-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, B))), O=d(2, d(1, A)), P=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, Q))))), d(J, d(I, G))))), R=d(2, d(K, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(K, d(L, S))))), Q))), H=d(d(2, 1), 1), Q=d(I, H), W=d(I, X), U=d(K, Q), B=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), W)))), Q))), F=d(d(2, d(1, d(2, H))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), W)))), Q), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(1, Y)), U), Y=d(d(2, d(K, d(d(2, d(1, d(2, U))), H))), H), M=d(R, H), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, A))))), Q))), d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, Z))), Z))))))), Q)), H), Z=d(Y, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), Q))), H))), d(3, d(R, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(N, W)))), Q)))))), Q)))))), W)))), Q))), H))))), C=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, d(P, d(I, d(O, H)))))))), Q))), d(P, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(d(2, d(1, d(A, d(d(B, E), E)))), H))))), Q)))), Q))))))), Q)), H), d(d(B, M), X))]).
mm_proof('pm2.63', d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(2, D))), E))))), d(A, d(d(2, d(1, d(2, d(1, d(F, G))))), d(d(2, d(1, d(2, d(1, d(H, E))))), D))))))), G)))), E)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, G)))), B=d(2, d(1, d(2, I))), F=d(2, d(A, d(d(2, d(1, d(2, d(H, d(C, d(d(2, d(1, d(d(2, d(A, d(B, G))), G))), I)))))), E))), J=d(3, d(F, I)), G=d(d(2, 1), 1), E=d(C, G), I=d(A, E), D=d(d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof('pm2.64', d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, E))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(G, H))))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(B, H))))), I))))))), J)))), H))))), I))))))), J)))), H)-[E=d(1, 1), D=d(2, E), C=d(2, d(1, 2)), A=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, J)))), F=d(2, d(1, d(2, d(1, d(K, J))))), B=d(2, d(1, d(2, L))), K=d(2, d(A, d(d(2, d(1, d(2, d(G, d(D, d(d(2, d(1, d(d(2, d(A, d(B, J))), J))), L)))))), H))), M=d(3, d(K, L)), J=d(d(2, 1), 1), H=d(D, J), L=d(A, H), I=d(d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof('pm2.42', d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, D)))), d(A, d(d(2, d(1, d(2, d(1, d(E, F))))), d(G, d(d(d(2, d(1, H)), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), F)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, F)))), B=d(2, d(1, d(2, D))), E=d(2, d(A, d(d(2, d(1, d(2, d(G, d(C, d(d(2, d(1, d(d(2, d(A, d(B, F))), F))), D)))))), I))), H=d(3, d(E, D)), F=d(d(2, 1), 1), I=d(C, F), D=d(A, I)]).
mm_proof('pm5.55', d(A, d(3, d(B, d(d(2, d(1, d(C, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, 1))))), F))), 1)))), F)))), d(E, d(G, d(H, F))))))), F))), I)), I)))), d(3, d(B, d(C, d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(1, d(G, 1))))))), F))), d(d(2, d(1, d(2, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F))))), F)), I)))))))))-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(B, I))))), H=d(2, d(1, d(2, M))), D=d(2, d(1, d(2, N))), G=d(2, d(1, A)), C=d(2, d(1, d(J, d(d(N, O), O)))), B=d(2, d(K, P)), Q=d(3, d(B, M)), R=d(3, d(B, d(d(2, d(1, d(2, d(K, d(L, P))))), F))), I=d(d(2, 1), 1), F=d(E, I), S=d(E, d(d(2, d(1, T)), M)), M=d(K, F), N=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), S)))), F))), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), S)))), F), J=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(K, d(H, I))), I), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, J))))), F))), d(d(2, d(1, R)), d(J, d(d(3, d(3, d(1, U))), U))))))), F)), I), A=d(J, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(T, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), F))), I))), d(3, d(B, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(D, S)))), F)))))), F)))))), S)))), F))), I)))))]).
mm_proof('pm4.72', d(d(A, d(d(2, d(1, d(B, d(d(A, C), C)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(1, d(F, 1))))))), G))), d(d(2, d(1, d(2, d(d(2, d(H, d(I, d(d(2, d(d(2, d(1, 2)), d(E, d(1, J)))), d(H, d(K, d(d(2, d(1, d(2, d(1, d(L, G))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))), G))))), G)), M))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), d(E, d(F, d(I, G))))))), G))-[E=d(2, d(1, 1)), H=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, M)))), K=d(2, d(1, d(2, d(1, d(O, M))))), I=d(2, d(1, d(2, P))), D=d(2, d(1, d(2, A))), F=d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), O=d(2, d(H, Q)), R=d(3, d(O, P)), S=d(3, d(O, d(d(2, d(1, d(2, d(H, d(K, Q))))), G))), M=d(d(2, 1), 1), G=d(E, M), T=d(E, d(d(2, d(1, U)), P)), P=d(H, G), A=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), T)))), G))), J=d(d(2, d(1, d(2, M))), G), Q=d(d(2, d(1, d(2, d(L, T)))), G), B=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(d(2, d(1, S)), d(B, d(d(3, d(3, d(1, V))), V))), U=d(d(2, d(H, d(I, M))), M), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, B))))), G))), N)))), G)), M), V=d(U, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), G))), M))), d(3, d(O, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(H, d(K, d(d(2, d(1, d(2, d(D, T)))), G)))))), G)))))), T)))), G))), M)))))]).
mm_proof(imimorb, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, L)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, A))), L=d(2, d(1, O)), S=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, T))))), F))), N=d(2, d(J, U)), V=d(3, d(N, Q)), W=d(3, d(N, d(d(2, d(1, d(2, d(J, d(M, U))))), T))), O=d(d(2, 1), 1), X=d(H, 1), T=d(H, O), Y=d(H, d(d(2, d(1, Z)), Q)), Q=d(J, T), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), Y)))), T))), G=d(d(2, d(1, d(2, O))), T), U=d(d(2, d(1, d(2, d(K, Y)))), T), B=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, B1))), B1))), C1=d(S, T), Z=d(d(2, d(J, d(P, O))), O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, B))))), T))), A1)))), T)), O), B1=d(Z, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), T))), O))), d(3, d(N, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(R, Y)))), T)))))), T)))))), Y)))), T))), O))))), C=d(E, d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, d(I, d(2, d(1, A1)))))))), T))), d(I, d(2, d(1, B))))))), T)), O)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), T)))))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), T)))))), d(1, d(d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(J, d(P, d(d(2, d(I, d(H, F))), d(J, d(M, d(d(2, d(1, d(2, d(1, d(K, T))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O)))), T)))), T)), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), d(H, Q))))), T)))))), D=d(d(A, C1), C1)]).
mm_proof(oibabs, d(d(A, d(d(2, d(B, d(C, d(d(2, d(d(2, d(1, 2)), d(D, E))), d(B, d(F, d(1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(D, d(B, d(H, I))))))), J))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(K, d(d(A, L), L)))), I))))), J)))), J)))))), J)), M)))))))), M)), 1)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(N, M))))), C=d(2, d(1, d(2, O))), G=d(2, d(1, d(2, A))), E=d(2, d(1, M)), H=d(2, d(1, K)), P=d(2, d(1, d(K, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), N=d(2, d(B, Q)), R=d(3, d(N, O)), S=d(3, d(N, d(d(2, d(1, d(2, d(B, d(F, Q))))), J))), M=d(d(2, 1), 1), J=d(D, M), T=d(D, d(d(2, d(1, U)), O)), O=d(B, J), A=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), T)))), J))), Q=d(d(2, d(1, d(2, d(d(2, d(1, E)), T)))), J), K=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(B, d(C, M))), M), L=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(D, K))))), J))), d(d(2, d(1, S)), d(K, d(d(3, d(3, d(1, V))), V))))))), J)), M), I=d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(D, 1))))), J))), 1)))), J)))), d(D, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(P, 1)))))), T)))), J))), M)))))), J))), d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(P, d(C, J))))))), T)))), J))), M))), M), V=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), J))), M))), d(3, d(N, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(G, T)))), J)))))), J)))))), T)))), J))), M)))))]).
mm_proof(orbidi, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, D))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, A))), M=d(2, d(1, d(B, d(E, N)))), O=d(2, d(1, d(B, d(E, P)))), Q=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, R))))), d(1, S)))), J=d(2, d(H, T)), U=d(3, d(J, V)), W=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, T))))), R))), K=d(d(2, 1), 1), X=d(F, 1), R=d(F, K), Y=d(F, d(d(2, d(1, Z)), V)), V=d(H, R), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), Y)))), R))), S=d(d(2, d(1, d(2, K))), R), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), Y)))), R), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(H, d(d(2, d(1, d(2, V))), K))), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, B))))), R))), A1)))), R)), K), C1=d(B, d(E, D1)), E1=d(B, d(E, F1)), G1=d(B, D1), H1=d(B, F1), I1=d(B, N), J1=d(B, P), B1=d(Z, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), R))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(L, Y)))), R)))))), R)))))), Y)))), R))), K))))), D=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K1=d(E, d(d(A, d(d(2, d(1, d(B, L1))), I1)), d(M, d(B, d(E, L1))))), C=d(d(A, d(d(2, d(1, d(B, K1))), G1)), d(d(2, d(1, C1)), d(B, d(E, K1)))), L1=d(d(A, d(d(2, d(1, d(B, M1))), H1)), d(d(2, d(1, E1)), d(B, d(E, M1)))), M1=d(d(A, d(d(2, d(1, H1)), I1)), d(M, E1)), D1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(F, d(G, d(2, d(1, A1)))))))), R))), d(G, d(2, d(1, B))))))), R)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(Q, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), R)))))), d(Q, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), R))))), F1=d(d(A, E), E), N=d(d(A, d(C1, d(d(A, d(d(2, d(1, d(B, N1))), J1)), d(O, d(B, d(E, N1)))))), d(C1, d(d(A, d(d(2, d(1, d(B, O1))), J1)), d(O, d(B, d(E, O1)))))), N1=d(G1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(G1, d(1, D)), P=d(G1, K)]).
mm_proof('pm5.7', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, B))), O=d(2, d(1, d(C, P))), Q=d(2, d(1, R)), S=d(2, d(1, d(C, d(A, T)))), U=d(2, d(1, d(C, d(A, V)))), W=d(2, d(1, d(C, d(A, X)))), Y=d(2, d(1, Z)), A1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, B1))))), d(1, C1)))), J=d(2, d(H, D1)), E1=d(3, d(J, M)), F1=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, D1))))), B1))), K=d(d(2, 1), 1), G1=d(F, 1), B1=d(F, K), H1=d(F, d(d(2, d(1, I1)), M)), M=d(H, B1), B=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), H1)))), B1))), C1=d(d(2, d(1, d(2, K))), B1), D1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), H1)))), B1), C=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, F1)), d(C, d(d(3, d(3, d(1, K1))), K1))), I1=d(d(2, d(H, d(L, K))), K), L1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, d(O, 1))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(O, d(L, B1)))))), M1))))))), K), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, C))))), B1))), J1)))), B1)), K), M1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(C, d(A, O1)), R=d(C, d(A, P1)), Q1=d(C, O1), Z=d(C, P1), R1=d(C, T), S1=d(C, V), T1=d(C, X), K1=d(I1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), B1))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(N, H1)))), B1)))))), B1)))))), H1)))), B1))), K))))), P=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U1=d(A, d(d(B, d(d(2, d(1, d(C, V1))), R1)), d(S, d(C, d(A, V1))))), W1=d(d(B, d(d(2, d(1, d(C, U1))), Q1)), d(d(2, d(1, N1)), d(C, d(A, U1)))), E=d(d(B, d(d(2, d(1, d(C, W1))), M1)), d(O, d(C, d(A, W1)))), D=d(d(B, d(d(2, d(1, d(C, X1))), S1)), d(U, d(C, d(A, X1)))), V1=d(d(B, d(d(2, d(1, d(C, Y1))), Z)), d(Q, d(C, d(A, Y1)))), X1=d(d(B, d(d(2, d(1, d(C, Z1))), Z)), d(Q, d(C, d(A, Z1)))), Y1=d(d(B, d(Y, R1)), d(S, R)), Z1=d(d(B, d(Y, S1)), d(U, R)), A2=d(d(B, L1), L1), O1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, d(G, d(2, d(1, J1)))))))), B1))), d(G, d(2, d(1, C))))))), B1)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(A1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), G1)))), B1)))))), d(A1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), B1))))), P1=d(d(B, A), A), T=d(d(B, d(N1, d(d(B, d(d(2, d(1, d(C, B2))), T1)), d(W, d(C, d(A, B2)))))), d(N1, d(d(B, d(d(2, d(1, d(C, C2))), T1)), d(W, d(C, d(A, C2)))))), V=d(d(B, d(N1, d(d(B, d(d(2, d(1, d(C, D2))), T1)), d(W, d(C, d(A, D2)))))), d(N1, d(d(B, d(d(2, d(1, d(C, E2))), T1)), d(W, d(C, d(A, E2)))))), B2=d(Q1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C2=d(Q1, d(1, P)), E2=d(Q1, d(1, d(A, A2))), D2=d(Q1, d(1, A2)), X=d(Q1, K)]).
mm_proof(jaao, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), G), d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, H)))), I))))))), d(D, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(D, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, H))), d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, M))))), I))), d(d(2, d(1, O)), d(M, d(d(3, d(3, d(1, P))), P))))))), I)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), R))))), I))))), S))))), I))))))), I)))))), T))))), I)))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), Q)))))), I)-[G=d(2, d(1, 1)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(W, Q))))), E=d(2, d(1, d(2, X))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), W=d(2, d(U, Y)), Z=d(3, d(W, X)), O=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, Y))))), I))), C=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), K=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), D=d(d(d(2, d(1, 2)), 1), U), J=d(d(d(2, d(1, 2)), 1), V), L=d(d(d(2, d(1, 2)), 1), W), B=d(d(d(2, d(1, 2)), 1), F), Q=d(d(2, 1), 1), I=d(G, Q), S=d(G, d(d(2, d(1, A1)), X)), X=d(U, I), R=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), I)))), S)))), I)), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), S)))), I), M=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(U, d(E, Q))), Q), H=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(D, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(C, d(F, G)))), S))))), I))))))), I)))))), T), T=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), I))), Q))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(N, S)))), I)))))), I)))))), S)))), I))), Q)))))]).
mm_proof(jaoa, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), D), d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(A, d(F, d(D, G)))))), H))))))), d(B, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(A, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(A, d(F, d(D, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, G)), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, L))))), H))), d(d(2, d(1, N)), d(L, d(d(3, d(3, d(1, O))), O))))))), H)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Q)))), H)))), R)))), H)))))), H))))), S))))))), H)))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), P)-[D=d(2, d(1, 1)), K=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, P))))), C=d(2, d(1, d(2, T))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), J=d(2, d(K, U)), V=d(3, d(J, T)), N=d(3, d(J, d(d(2, d(1, d(2, d(K, d(I, U))))), H))), E=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), K), F=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, 2))), P=d(d(2, 1), 1), H=d(D, P), R=d(D, d(d(2, d(1, W)), T)), T=d(K, H), Q=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), H)))), R)))), H)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), R)))), H), L=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), R)))), H)))))), H))))), S), W=d(d(2, d(K, d(C, P))), P), S=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(W, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), H))), P))), d(3, d(J, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(K, d(I, d(d(2, d(1, d(2, d(M, R)))), H)))))), H)))))), R)))), H))), P)))))]).
mm_proof(jaoian, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(E, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), I), J))))), d(K, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(L, d(H, J)))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), N)))))), O)))))), P)))))))), P))))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(D, N))))), G=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), D=d(2, d(Q, W)), X=d(3, d(D, S)), U=d(3, d(D, d(d(2, d(1, d(2, d(Q, d(R, W))))), P))), L=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), Q), F=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), K), N=d(d(2, 1), 1), P=d(I, N), O=d(I, d(d(2, d(1, Y)), S)), S=d(Q, P), V=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), P)))), O)))), P)), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), O)))), P), M=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(Q, d(G, N))), N), J=d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(L, d(H, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, M))))), P))), d(d(2, d(1, U)), d(M, d(d(3, d(3, d(1, Z))), Z))))))), P)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), V)), Z=d(Y, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), P))), N))), d(3, d(D, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(T, O)))), P)))))), P)))))), O)))), P))), N)))))]).
mm_proof(jaodan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(E, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), I), J))))), d(K, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(L, d(H, J)))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), N)))))), O)))))), P)))))), O)))))))), O))))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(D, N))))), G=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), D=d(2, d(Q, W)), X=d(3, d(D, S)), U=d(3, d(D, d(d(2, d(1, d(2, d(Q, d(R, W))))), O))), L=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), Q), F=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), K), N=d(d(2, 1), 1), O=d(I, N), P=d(I, d(d(2, d(1, Y)), S)), S=d(Q, O), V=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), O)))), P)))), O)), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), P)))), O), M=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(Q, d(G, N))), N), J=d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(L, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(L, d(H, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, M))))), O))), d(d(2, d(1, U)), d(M, d(d(3, d(3, d(1, Z))), Z))))))), O)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), V))))), O)), Z=d(Y, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), O))), N))), d(3, d(D, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(T, P)))), O)))))), O)))))), P)))), O))), N)))))]).
mm_proof(mpjaodan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), E), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(G, d(F, d(I, d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(L, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), M), N))))), d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(P, d(L, N)))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), R)))))), S)))))), T)))))), S)))))))), S))))))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), U))))))), V))))))), M))))))), S)))))), R))))), R)-[M=d(2, d(1, 1)), W=d(2, d(1, 3)), X=d(2, d(1, d(2, d(1, d(H, R))))), K=d(2, d(1, d(2, Y))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), H=d(2, d(W, B1)), C1=d(3, d(H, Y)), A1=d(3, d(H, d(d(2, d(1, d(2, d(W, d(X, B1))))), S))), P=d(d(d(2, d(1, 2)), 1), 1), L=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), O=d(d(d(2, d(1, 2)), 1), W), J=d(d(d(2, d(1, 2)), 1), X), G=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), A), I=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), G), C=d(d(d(2, d(1, 2)), 1), F), R=d(d(2, 1), 1), S=d(M, R), T=d(M, d(d(2, d(1, D1)), Y)), Y=d(W, S), V=d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), S)))), T)))), S)), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, R)))), T)))), S), Q=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(W, d(K, R))), R), N=d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(P, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(P, d(L, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, 1)), U)))))), V))))), S)), U=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(M, Q))))), S))), d(d(2, d(1, A1)), d(Q, d(d(3, d(3, d(1, E1))), E1))))))), S)), R), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), S))), R))), d(3, d(H, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(Z, T)))), S)))))), S)))))), T)))), S))), R)))))]).
mm_proof('pm3.44', d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(2, D))), E))))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(C, H))))), E))), d(d(2, d(1, J)), d(H, d(d(3, d(3, d(1, K))), K))))))), E)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), M)))), E)))), N)))), E)))))), E))))), O)))), E))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L)))), E)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(G, L))))), B=d(2, d(1, d(2, P))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), G=d(2, d(A, Q)), R=d(3, d(G, P)), J=d(3, d(G, d(d(2, d(1, d(2, d(A, d(F, Q))))), E))), L=d(d(2, 1), 1), E=d(C, L), N=d(C, d(d(2, d(1, S)), P)), P=d(A, E), M=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), E)))), N)))), E)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), N)))), E), H=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), N)))), E)))))), E))))), O), S=d(d(2, d(A, d(B, L))), L), O=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(S, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), E))), L))), d(3, d(G, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(I, N)))), E)))))), E)))))), N)))), E))), L)))))]).
mm_proof(jao, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(2, D))), E))))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), H))))), I)))), E)))), J)))), E)))))), E))))), K)))), E))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))), E))), H))))), I)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(G, M))))), B=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), G=d(2, d(A, Q)), R=d(3, d(G, N)), P=d(3, d(G, d(d(2, d(1, d(2, d(A, d(F, Q))))), E))), M=d(d(2, 1), 1), E=d(C, M), J=d(C, d(d(2, d(1, S)), N)), N=d(A, E), I=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), E)))), J)))), E)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), E), L=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), J)))), E)))))), E))))), K), S=d(d(2, d(A, d(B, M))), M), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(C, L))))), E))), d(d(2, d(1, P)), d(L, d(d(3, d(3, d(1, T))), T))))))), E)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(S, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), E))), M))), d(3, d(G, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(O, J)))), E)))))), E)))))), J)))), E))), M)))))]).
mm_proof(jaob, d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, C))))), D)))), d(E, d(d(2, d(1, d(2, d(F, d(E, d(G, 1)))))), H)))))), H))), d(d(2, d(1, d(2, d(F, d(E, d(G, d(I, H))))))), H))), J)), d(d(2, d(1, d(2, d(d(2, d(K, d(I, d(d(2, d(d(2, d(1, 2)), d(E, d(1, d(d(2, d(1, d(2, L))), H))))), d(K, d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(K, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), C))))), D)))), H)))), O)))), H)))))), H))))), P)))), H))))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J)))), H))-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), F=d(2, d(1, d(2, B))), I=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, A))), B=d(2, d(1, J)), G=d(2, d(1, d(Q, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), N=d(2, d(K, U)), V=d(3, d(N, R)), W=d(3, d(N, d(d(2, d(1, d(2, d(K, d(M, U))))), H))), J=d(d(2, 1), 1), H=d(E, J), O=d(E, d(d(2, d(1, X)), R)), R=d(K, H), D=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), H)))), O)))), H)), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D), U=d(d(2, d(1, d(2, d(d(2, d(1, B)), O)))), H), Q=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(K, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), O)))), H)))))), H))))), P), X=d(d(2, d(K, d(I, J))), J), T=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(E, Q))))), H))), d(d(2, d(1, W)), d(Q, d(d(3, d(3, d(1, Y))), Y))))))), H)), J), P=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(Q, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(X, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), H))), J))), d(3, d(N, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(K, d(M, d(d(2, d(1, d(2, d(S, O)))), H)))))), H)))))), O)))), H))), J)))))]).
mm_proof('pm4.77', d(A, d(d(B, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, D))))), E)))), d(F, d(d(2, d(1, d(2, d(G, d(F, d(H, 1)))))), I)))))), I))), d(d(2, d(1, d(2, d(G, d(F, d(H, d(J, I))))))), I))), K)), d(d(2, d(1, d(2, d(d(2, d(L, d(J, d(d(2, d(d(2, d(1, 2)), d(F, d(1, d(d(2, d(1, d(2, M))), I))))), d(L, d(N, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(L, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), D))))), E)))), I)))), P)))), I)))))), I))))), Q)))), I))))), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K)))), I)))-[F=d(2, d(1, 1)), L=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, K))))), G=d(2, d(1, d(2, C))), J=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, B))), C=d(2, d(1, K)), H=d(2, d(1, d(R, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), O=d(2, d(L, U)), V=d(3, d(O, S)), W=d(3, d(O, d(d(2, d(1, d(2, d(L, d(N, U))))), I))), K=d(d(2, 1), 1), I=d(F, K), P=d(F, d(d(2, d(1, X)), S)), S=d(L, I), E=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), I)))), P)))), I)), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E), U=d(d(2, d(1, d(2, d(d(2, d(1, C)), P)))), I), R=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(L, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), P)))), I)))))), I))))), Q), X=d(d(2, d(L, d(J, K))), K), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(F, R))))), I))), d(d(2, d(1, W)), d(R, d(d(3, d(3, d(1, Y))), Y))))))), I)), K), Q=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(R, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(X, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), I))), K))), d(3, d(O, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(L, d(N, d(d(2, d(1, d(2, d(T, P)))), I)))))), I)))))), P)))), I))), K)))))]).
mm_proof('pm3.48', d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, d(B, G)))))))), H)))), G)))))), G))))), I)))), G))))), d(A, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, 1))))))), H)))), G)))))), G))))), I))), d(J, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))), G)))), H)))), G)))))), G))))), I)))), G))))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))), G)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(D, M))))), B=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), F=d(2, d(1, d(J, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), D=d(2, d(A, Q)), R=d(3, d(D, N)), P=d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, Q))))), G))), M=d(d(2, 1), 1), G=d(C, M), H=d(C, d(d(2, d(1, S)), N)), N=d(A, G), L=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), J=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(A, d(B, M))), M), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(C, J))))), G))), d(d(2, d(1, P)), d(J, d(d(3, d(3, d(1, T))), T))))))), G)), M), I=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(S, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(D, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(orim1d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, d(B, G)))))))), H)))), G)))))), G))))), I)))), G))))), d(A, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, 1))))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), H)))), G)))))), G))))), I)))), G))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))), G))), J))))), K)))), d(C, N))))), G))))), M)-[N=d(1, M), C=d(2, d(1, 1)), A=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(D, M))))), B=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(1, d(L, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), D=d(2, d(A, S)), T=d(3, d(D, O)), Q=d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, S))))), G))), M=d(d(2, 1), 1), G=d(C, M), H=d(C, d(d(2, d(1, U)), O)), O=d(A, G), K=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), G), L=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(A, d(B, M))), M), R=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(C, L))))), G))), d(d(2, d(1, Q)), d(L, d(d(3, d(3, d(1, V))), V))))))), G)), M), I=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(L, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(D, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(P, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(orim2d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(C, d(D, d(d(2, d(d(2, d(1, 2)), d(E, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(2, d(1, d(H, d(D, I)))))))), J)))), I)))))), I))))), K)))), I))))), d(C, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(2, d(1, d(H, 1))))))), J)))), I)))))), I))))), K))), L))))), M)))), I)))), J)))), I)))))), I))))), K)))), I))))), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O)))), I))), L))))), M))))), E))))), I)))), P))), O)-[P=d(1, O), E=d(2, d(1, 1)), C=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(F, O))))), D=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H=d(2, d(1, d(N, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F=d(2, d(C, U)), V=d(3, d(F, Q)), S=d(3, d(F, d(d(2, d(1, d(2, d(C, d(G, U))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), O=d(d(2, 1), 1), I=d(E, O), J=d(E, d(d(2, d(1, W)), Q)), Q=d(C, I), M=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), I)))), J)))), I)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I), N=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(C, d(D, O))), O), T=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(E, N))))), I))), d(d(2, d(1, S)), d(N, d(d(3, d(3, d(1, X))), X))))))), I)), O), K=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(N, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), O))), d(3, d(F, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(R, J)))), I)))))), I)))))), J)))), I))), O)))))]).
mm_proof(orim2, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, d(B, G)))))))), H)))), G)))))), G))))), I)))), G))))), d(A, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, 1))))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), H)))), G)))))), G))))), I)))), G))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))), G))), J))))), K)))), G)))), G))), N)), M)-[N=d(1, M), C=d(2, d(1, 1)), A=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(D, M))))), B=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(1, d(L, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), D=d(2, d(A, S)), T=d(3, d(D, O)), Q=d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, S))))), G))), M=d(d(2, 1), 1), G=d(C, M), H=d(C, d(d(2, d(1, U)), O)), O=d(A, G), K=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), G), L=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(A, d(B, M))), M), R=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(C, L))))), G))), d(d(2, d(1, Q)), d(L, d(d(3, d(3, d(1, V))), V))))))), G)), M), I=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(L, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(D, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(P, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof('pm2.38', d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, d(B, G)))))))), H)))), G)))))), G))))), I)))), G))))), d(A, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, 1))))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), H)))), G)))))), G))))), I)))), G))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))), G))), J))))), K)))), d(C, N))))), G))), M)), M)-[N=d(1, M), C=d(2, d(1, 1)), A=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(D, M))))), B=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(1, d(L, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), D=d(2, d(A, S)), T=d(3, d(D, O)), Q=d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, S))))), G))), M=d(d(2, 1), 1), G=d(C, M), H=d(C, d(d(2, d(1, U)), O)), O=d(A, G), K=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), G), L=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(A, d(B, M))), M), R=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(C, L))))), G))), d(d(2, d(1, Q)), d(L, d(d(3, d(3, d(1, V))), V))))))), G)), M), I=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(L, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(D, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(P, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof('pm2.36', d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, G)))), H)))), I)))))), I))))), J)))), I))))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(2, K))))), H)))), I)))))), I))))), J))), L))))), M)))), I)))), H)))), I)))))), I))))), J)))), I))))), N))))))), O)))), I))), L))))), M)))), d(D, P))))), I))), O)), O)))), d(D, d(d(2, d(A, d(B, d(d(2, d(C, d(D, K))), d(A, d(F, d(d(2, d(1, G)), N))))))), O)))))), I)-[P=d(1, O), K=d(1, d(Q, 1)), D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(E, O))))), B=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), G=d(2, d(1, d(Q, d(B, I)))), Q=d(2, d(1, d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(A, W)), X=d(3, d(E, R)), T=d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, W))))), I))), O=d(d(2, 1), 1), I=d(D, O), H=d(D, d(d(2, d(1, Y)), R)), R=d(A, I), M=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), I)))), H)))), I)), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), H)))), I), U=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(A, d(B, O))), O), V=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, U))))), I))), d(d(2, d(1, T)), d(U, d(d(3, d(3, d(1, Z))), Z))))))), I)), O), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), O))), d(3, d(E, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(S, H)))), I)))))), I)))))), H)))), I))), O)))))]).
mm_proof('pm2.37', d(d(2, d(1, d(2, d(1, d(d(2, d(A, d(B, d(d(2, d(C, d(D, E))), d(A, d(F, d(d(2, d(1, G)), H))))))), I))))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, G)))), K)))), L)))))), L))))), M)))), L))))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(2, E))))), K)))), L)))))), L))))), M))), N))))), O)))), L)))), K)))), L)))))), L))))), M)))), L))))), H))))))), I)))), L))), N))))), O)))), d(D, P))))), L))), I)), I))-[P=d(1, I), E=d(1, d(Q, 1)), D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(J, I))))), B=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), G=d(2, d(1, d(Q, d(B, L)))), Q=d(2, d(1, d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), J=d(2, d(A, W)), X=d(3, d(J, R)), T=d(3, d(J, d(d(2, d(1, d(2, d(A, d(F, W))))), L))), I=d(d(2, 1), 1), L=d(D, I), K=d(D, d(d(2, d(1, Y)), R)), R=d(A, L), O=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), L)))), K)))), L)), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), K)))), L), U=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(A, d(B, I))), I), V=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, U))))), L))), d(d(2, d(1, T)), d(U, d(d(3, d(3, d(1, Z))), Z))))))), L)), I), M=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), I))), d(3, d(J, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(S, K)))), L)))))), L)))))), K)))), L))), I)))))]).
mm_proof('pm2.81', d(d(2, d(1, d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), D)), d(E, d(A, d(F, C))))))))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(G, d(H, d(d(2, d(I, d(J, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(G, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(2, d(1, d(E, d(H, M)))))))), N)))), M)))))), M))))), O)))), M))))), d(G, d(L, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(G, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(G, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(2, d(1, d(E, 1))))))), N)))), M)))))), M))))), O))), P))))), Q)))), M)))), N)))), M)))))), M))))), O)))), M))))), D))))))), R)))), M))), P))))), Q)))), M)))), M))), S)), R))-[S=d(1, R), J=d(2, d(1, 1)), I=d(2, d(1, 2)), G=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(I, M))))), L=d(2, d(1, d(2, d(1, d(K, R))))), U=d(2, d(1, d(2, R))), H=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, B))), X=d(2, d(1, A)), E=d(2, d(1, d(A, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Y=d(2, d(I, d(T, d(1, Z)))), A1=d(2, d(I, d(T, d(I, d(J, S))))), K=d(2, d(G, B1)), C1=d(3, d(K, V)), D1=d(3, d(K, d(d(2, d(1, d(2, d(G, d(L, B1))))), M))), R=d(d(2, 1), 1), E1=d(J, 1), M=d(J, R), N=d(J, d(d(2, d(1, F1)), V)), V=d(G, M), Q=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), N)))), M)), B=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q), Z=d(U, M), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), N)))), M), A=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(1, D1)), d(A, d(d(3, d(3, d(1, H1))), H1))), F1=d(d(2, d(G, d(H, R))), R), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(J, A))))), M))), G1)))), M)), R), O=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(A, J1), H1=d(F1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), R))), d(3, d(K, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(G, d(L, d(d(2, d(1, d(2, d(W, N)))), M)))))), M)))))), N)))), M))), R))))), K1=d(F, d(d(d(d(2, d(1, d(2, d(1, d(d(A, d(F, J1)), d(d(B, d(d(2, d(1, d(A, L1))), d(A, M1))), d(d(2, d(1, d(A, d(F, M1)))), d(A, d(F, L1))))))))), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(B, 2), d(Y, d(J, d(d(2, d(1, d(2, d(U, E1)))), M)))), C=d(d(B, d(d(2, d(1, d(A, K1))), d(A, N1))), d(d(2, d(1, d(A, d(F, N1)))), d(A, d(F, K1)))), J1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(J, d(I, d(2, d(1, G1)))))))), M))), d(I, X))))), M)), R)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(Y, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), E1)))), M)))))), d(Y, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), E1)))), M))))), L1=d(I1, d(d(2, d(1, I1)), d(J, D1))), M1=d(I1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(J, d(A1, d(J, d(X, C1)))))))), M))), d(A1, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, d(d(2, d(1, d(A, d(d(B, F), F)))), C1))))), M)))), M))))))), M)), R))]).
mm_proof('pm2.8', d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, d(B, G)))))))), H)))), G)))))), G))))), I)))), G))))), d(A, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, d(2, d(1, d(F, 1))))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), H)))), G)))))), G))))), I)))), G))))), L))))))), M)))), G))), J))))), K)))), d(C, N))))), G))), d(A, d(E, L)))), M)-[N=d(1, M), C=d(2, d(1, 1)), A=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(D, M))))), B=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(1, d(R, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), D=d(2, d(A, T)), U=d(3, d(D, O)), Q=d(3, d(D, d(d(2, d(1, d(2, d(A, d(E, T))))), G))), M=d(d(2, 1), 1), G=d(C, M), H=d(C, d(d(2, d(1, V)), O)), O=d(A, G), K=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), G), R=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(A, d(B, M))), M), S=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(C, R))))), G))), d(d(2, d(1, Q)), d(R, d(d(3, d(3, d(1, W))), W))))))), G)), M), I=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(R, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(D, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(A, d(E, d(d(2, d(1, d(2, d(P, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof('pm2.73', d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(2, d(1, d(G, d(B, H)))))))), I)))), H)))))), H))))), J)))), H))))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(2, d(1, d(G, 1))))))), I)))), H)))))), H))))), J))), K))))), L)))), H)))), I)))), H)))))), H))))), J)))), H))))), M))))))), N)))), H))), K))))), L)))), d(D, O))))), H))), d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, P)))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(Q, H))))), M))))))), N)))), H))), N)-[O=d(1, N), D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), Q=d(2, d(1, d(2, O))), F=d(2, d(1, d(2, d(1, d(E, N))))), B=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), G=d(2, d(1, d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(A, W)), X=d(3, d(E, R)), T=d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, W))))), H))), N=d(d(2, 1), 1), H=d(D, N), I=d(D, d(d(2, d(1, Y)), R)), R=d(A, H), L=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), I)))), H)), P=d(d(2, d(1, d(2, N))), H), W=d(d(2, d(1, d(2, d(Q, I)))), H), U=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(A, d(B, N))), N), V=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, U))))), H))), d(d(2, d(1, T)), d(U, d(d(3, d(3, d(1, Z))), Z))))))), H)), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), N))), d(3, d(E, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(S, I)))), H)))))), H)))))), I)))), H))), N)))))]).
mm_proof('pm2.74', d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(2, d(1, d(G, H))))))), I)))), J)))))), J))))), K)))), J))))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(2, d(1, d(G, 1))))))), I)))), J)))))), J))))), K))), L))))), M)))), J)))), I)))), J)))))), J))))), K)))), J))))), N))))))), O)))), J))), L))))), M)))), d(D, P))))), J))), d(d(2, d(A, d(B, d(d(2, d(C, d(D, D))), d(A, d(F, d(1, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(Q, J))))), d(A, d(F, d(d(2, d(1, d(2, d(1, H)))), N))))))), O)))), J)))))))), O))), O)-[P=d(1, O), D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), Q=d(2, d(1, d(2, P))), F=d(2, d(1, d(2, d(1, d(E, O))))), B=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), G=d(2, d(1, d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(A, W)), X=d(3, d(E, R)), T=d(3, d(E, d(d(2, d(1, d(2, d(A, d(F, W))))), J))), O=d(d(2, 1), 1), J=d(D, O), I=d(D, d(d(2, d(1, Y)), R)), R=d(A, J), M=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), J)))), I)))), J)), H=d(B, J), W=d(d(2, d(1, d(2, d(Q, I)))), J), U=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(A, d(B, O))), O), V=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, U))))), J))), d(d(2, d(1, T)), d(U, d(d(3, d(3, d(1, Z))), Z))))))), J)), O), K=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), O))), d(3, d(E, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(S, I)))), J)))))), J)))))), I)))), J))), O)))))]).
mm_proof('pm2.82', d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, C))))), D))), d(d(2, d(E, d(F, d(d(2, d(G, d(B, H))), d(E, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, J))))), D))), C)), K))))), L))))))), K))), K)-[H=d(1, 1), C=d(1, K), B=d(2, H), G=d(2, d(1, 2)), E=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(M, K))))), F=d(2, d(1, d(2, N))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(E, d(F, d(d(2, d(G, d(B, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(E, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B, d(2, d(1, d(O, J))))))), P)))), D)))))), D))))), Q)))), D))))), d(E, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(E, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(E, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B, d(2, d(1, d(O, 1))))))), P)))), D)))))), D))))), Q))), R))))), S)))), D)))), P)))), D)))))), D))))), Q)))), D))))), L))))))), K)))), D))), R))))), S)))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), O=d(2, d(1, d(V, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), M=d(2, d(E, X)), Y=d(3, d(M, N)), U=d(3, d(M, d(d(2, d(1, d(2, d(E, d(I, X))))), D))), K=d(d(2, 1), 1), D=d(B, K), P=d(B, d(d(2, d(1, Z)), N)), N=d(E, D), S=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), D)))), P)))), D)), J=d(F, D), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), P)))), D), V=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(E, d(F, K))), K), W=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(B, V))))), D))), d(d(2, d(1, U)), d(V, d(d(3, d(3, d(1, A1))), A1))))))), D)), K), Q=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(V, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Z, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), D))), K))), d(3, d(M, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(E, d(I, d(d(2, d(1, d(2, d(T, P)))), D)))))), D)))))), P)))), D))), K)))))]).
mm_proof('pm4.39', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), P=d(2, d(1, d(C, Q))), R=d(2, d(1, d(C, d(F, S)))), T=d(2, d(1, U)), V=d(2, d(1, d(C, W))), X=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Y))))), d(1, Z)))), K=d(2, d(I, A1)), B1=d(3, d(K, N)), C1=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, A1))))), Y))), L=d(d(2, 1), 1), D1=d(G, 1), Y=d(G, L), E1=d(G, d(d(2, d(1, F1)), N)), N=d(I, Y), G1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), E1)))), Y)), B=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1), Z=d(d(2, d(1, d(2, L))), Y), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), E1)))), Y), C=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, C1)), d(C, d(d(3, d(3, d(1, I1))), I1))), J1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), E1)))), Y)))))), Y))))), K1), F1=d(d(2, d(I, d(M, L))), L), L1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(P, 1))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(P, d(M, Y)))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, C))))), Y))), H1)))), Y)), L), K1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A=d(C, d(F, M1)), N1=d(C, d(F, W)), U=d(C, M1), O1=d(C, S), I1=d(F1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), Y))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, E1)))), Y)))))), Y)))))), E1)))), Y))), L))))), Q=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P1=d(d(B, L1), L1), M1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(H, d(2, d(1, H1)))))))), Y))), d(H, d(2, d(1, C))))))), Y)), L)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(X, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), D1)))), Y)))))), d(X, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), D1)))), Y))))), S=d(U, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(1, Q)), Q1=d(U, d(1, d(F, P1))), R1=d(U, d(1, P1)), S1=d(U, d(T, d(G, J1))), T1=d(U, d(T, d(G, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, J1)), d(C, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), G1)))), Y)))), E1)))), Y)))))), Y))))), K1)))), U1=d(U, d(A, d(d(B, d(V, d(C, V1))), d(d(2, d(1, d(C, d(F, V1)))), N1)))), D=d(U, d(A, d(d(B, d(V, d(C, W1))), d(d(2, d(1, d(C, d(F, W1)))), N1)))), E=d(U, d(A, d(d(B, d(d(2, d(1, d(C, Q1))), d(C, X1))), d(d(2, d(1, d(C, d(F, X1)))), d(C, d(F, Q1)))))), V1=d(U, d(A, d(d(B, d(d(2, d(1, d(C, S1))), O1)), d(R, d(C, d(F, S1)))))), W1=d(U, d(A, d(d(B, d(d(2, d(1, d(C, T1))), O1)), d(R, d(C, d(F, T1)))))), X1=d(U, d(A, d(d(B, d(d(2, d(1, d(C, U1))), d(C, R1))), d(d(2, d(1, d(C, d(F, R1)))), d(C, d(F, U1))))))]).
mm_proof(animorl, d(d(2, d(1, d(d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(H, D)))), d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), L)))), D)))))), D))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))-[C=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, G))))), H=d(2, d(1, d(2, M))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), L)))), D)))))), I=d(2, d(J, N)), O=d(3, d(I, M)), E=d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, N))))), D))), G=d(d(2, 1), 1), D=d(C, G), L=d(C, d(d(2, d(1, P)), M)), M=d(J, D), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), L)))), D), A=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(J, d(H, G))), G), F=d(P, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), D))), G))), d(3, d(I, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(B, L)))), D)))))), D)))))), L)))), D))), G)))))]).
mm_proof(animorr, d(d(2, d(1, d(A, d(d(B, C), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J))), d(A, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))), H)))), I)))), H)))))), H))))), J)))-[M=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, N))))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, B))), D=d(2, d(1, d(R, d(O, H)))), R=d(2, d(1, d(A, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(F, S)), T=d(3, d(E, P)), U=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, S))))), H))), N=d(d(2, 1), 1), H=d(M, N), I=d(M, d(d(2, d(1, V)), P)), P=d(F, H), L=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), I)))), H)), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), I)))), H), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(F, d(O, N))), N), C=d(d(2, d(F, d(O, d(d(2, d(d(2, d(1, 2)), d(M, d(1, d(R, 1))))), d(F, d(G, d(d(2, d(1, D)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), N), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(M, A))))), H))), d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, W))), W))))))), H)), N), J=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(V, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), N))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(Q, I)))), H)))))), H)))))), I)))), H))), N)))))]).
mm_proof(animorlr, d(d(2, d(1, d(A, d(d(B, C), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))-[J=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, B))), D=d(2, d(1, d(O, d(L, H)))), O=d(2, d(1, d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(J, A))))), H))), d(d(2, d(1, P)), d(A, d(d(3, d(3, d(1, Q))), Q))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(F, R)), S=d(3, d(E, M)), P=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, R))))), H))), K=d(d(2, 1), 1), H=d(J, K), I=d(J, d(d(2, d(1, T)), M)), M=d(F, H), B=d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I)))), H))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), H), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(F, d(L, K))), K), C=d(d(2, d(F, d(L, d(d(2, d(d(2, d(1, 2)), d(J, d(1, d(O, 1))))), d(F, d(G, d(d(2, d(1, D)), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K), Q=d(T, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), K))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(N, I)))), H)))))), H)))))), I)))), H))), K)))))]).
mm_proof(animorrl, d(d(2, d(1, d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, D)))), d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), H)))), D)))))), D))))), I))), d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), J)))), D)))), H)))), D)))))), D))))), I))-[K=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, L))))), C=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), E=d(2, d(F, P)), Q=d(3, d(E, M)), O=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, P))))), D))), L=d(d(2, 1), 1), D=d(K, L), H=d(K, d(d(2, d(1, R)), M)), M=d(F, D), J=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), D)))), H)))), D)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), H)))), D), A=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(F, d(C, L))), L), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(K, A))))), D))), d(d(2, d(1, O)), d(A, d(d(3, d(3, d(1, S))), S))))))), D)), L), I=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S=d(R, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), D))), L))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(N, H)))), D)))))), D)))))), H)))), D))), L)))))]).
mm_proof(ianor, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, L))))), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, A))), P=d(2, d(1, B)), Q=d(2, d(1, d(B, d(d(A, E), E)))), R=d(2, d(I, d(K, d(1, S)))), T=d(2, d(I, d(K, d(I, d(H, F))))), U=d(2, d(J, V)), W=d(3, d(U, X)), Y=d(3, d(U, d(d(2, d(1, d(2, d(J, d(M, V))))), L))), G=d(d(2, 1), 1), Z=d(H, 1), L=d(H, G), A1=d(H, B1), X=d(J, L), A=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), L))), S=d(d(2, d(1, d(2, G))), L), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), A1)))), L), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Q, G))))), L)))), L), B=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, Y)), d(B, d(d(3, d(3, d(1, E1))), E1))), F1=d(P, G), B1=d(d(2, d(1, G1)), X), G1=d(d(2, d(J, d(d(2, d(1, d(2, X))), G))), G), N=d(U, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, B))))), L))), D1)))), L)), G), H1=d(B, d(E, I1)), J1=d(B, I1), E1=d(G1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), L))), G))), d(3, d(U, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(O, A1)))), L)))))), L)))))), A1)))), L))), G))))), K1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(E, d(d(A, d(d(2, d(1, d(B, L1))), d(B, M1))), d(d(2, d(1, d(B, N1))), d(B, d(E, L1))))), N1=d(E, M1), O1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(T, d(H, F1))))))), L))), d(T, d(H, C1)))))), L)), G), M1), C=d(d(A, d(d(2, d(1, d(B, K1))), d(B, O1))), d(d(2, d(1, d(B, d(E, O1)))), d(B, d(E, K1)))), M1=d(d(A, N), B1), I1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(I, d(2, d(1, D1)))))))), L))), d(I, P))))), L)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(R, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Z)))), L)))))), d(R, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), Z)))), L))))), P1=d(H1, d(d(A, d(d(2, d(1, d(B, Q1))), d(B, R1))), d(d(2, d(1, d(B, d(E, R1)))), d(B, d(E, Q1))))), S1=d(J1, d(1, N1)), Q1=d(J1, d(1, M1)), T1=d(J1, G), R1=d(J1, d(H1, d(d(A, d(d(2, d(1, d(B, T1))), d(B, S1))), d(d(2, d(1, d(B, d(E, S1)))), d(B, d(E, T1)))))), L1=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, d(P, P1))))))), L))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Q, P1))))), L)))), L)))))), L)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, F1)))))), L))), d(J, C1))))), L)), G))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(anor, d(d(A, d(d(2, d(1, d(B, C))), D)), d(E, d(B, d(F, C))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, A))), Q=d(2, d(1, B)), E=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, d(d(A, F), F)))), T=d(2, d(J, d(L, d(1, U)))), V=d(2, d(J, d(L, d(J, d(I, G))))), W=d(2, d(K, X)), Y=d(3, d(W, Z)), A1=d(3, d(W, d(d(2, d(1, d(2, d(K, d(N, X))))), M))), H=d(d(2, 1), 1), B1=d(I, 1), M=d(I, H), C1=d(I, D1), Z=d(K, M), A=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), M))), U=d(d(2, d(1, d(2, H))), M), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), C1)))), M), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(S, H))))), M)))), M), B=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, G1))), G1))), H1=d(Q, H), D1=d(d(2, d(1, I1)), Z), I1=d(d(2, d(K, d(d(2, d(1, d(2, Z))), H))), H), O=d(W, H), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, B))))), M))), F1)))), M)), H), J1=d(B, d(F, K1)), D=d(B, L1), M1=d(B, K1), N1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, d(Q, O1))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(S, O1))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, H1)))))), M))), d(K, E1))))), M)), H))), G1=d(I1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), M))), H))), d(3, d(W, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(P, C1)))), M)))))), M)))))), C1)))), M))), H))))), P1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(F, d(d(A, d(d(2, d(1, d(B, R1))), D)), d(E, d(B, d(F, R1))))), R=d(F, L1), S1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(V, d(I, H1))))))), M))), d(V, d(I, E1)))))), M)), H), L1), T1=d(d(A, d(d(2, d(1, d(B, P1))), d(B, S1))), d(d(2, d(1, d(B, d(F, S1)))), d(B, d(F, P1)))), L1=d(d(A, O), D1), K1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, F1)))))))), M))), d(J, Q))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, A)))), d(T, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), B1)))), M)))))), d(T, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), B1)))), M))))), O1=d(J1, d(d(A, d(d(2, d(1, d(B, U1))), d(B, V1))), d(d(2, d(1, d(B, d(F, V1)))), d(B, d(F, U1))))), W1=d(M1, d(1, R)), U1=d(M1, d(1, L1)), X1=d(M1, H), V1=d(M1, d(J1, d(d(A, d(d(2, d(1, d(B, X1))), d(B, W1))), d(d(2, d(1, d(B, d(F, W1)))), d(B, d(F, X1)))))), R1=d(N1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C=d(N1, d(d(A, d(d(2, d(1, d(B, T1))), d(B, Q1))), d(d(2, d(1, d(B, d(F, Q1)))), d(B, d(F, T1)))))]).
mm_proof('pm4.52', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, L))))), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, A))), P=d(2, d(1, B)), Q=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, d(d(A, E), E)))), T=d(2, d(I, d(K, d(1, U)))), V=d(2, d(I, d(K, d(I, d(H, F))))), W=d(2, d(J, X)), Y=d(3, d(W, Z)), A1=d(3, d(W, d(d(2, d(1, d(2, d(J, d(M, X))))), L))), G=d(d(2, 1), 1), B1=d(H, 1), L=d(H, G), C1=d(H, D1), Z=d(J, L), A=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), L))), U=d(d(2, d(1, d(2, G))), L), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), C1)))), L), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(S, G))))), L)))), L), B=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, G1))), G1))), H1=d(P, G), D1=d(d(2, d(1, I1)), Z), I1=d(d(2, d(J, d(d(2, d(1, d(2, Z))), G))), G), N=d(W, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, B))))), L))), F1)))), L)), G), J1=d(B, d(E, K1)), L1=d(B, d(E, M1)), N1=d(B, O1), P1=d(B, K1), Q1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, d(P, R1))))))), L))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(S, R1))))), L)))), L)))))), L)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, H1)))))), L))), d(J, E1))))), L)), G))), S1=d(B, M1), G1=d(I1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), L))), G))), d(3, d(W, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(O, C1)))), L)))))), L)))))), C1)))), L))), G))))), T1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(E, O1), U1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(V, d(H, H1))))))), L))), d(V, d(H, E1)))))), L)), G), O1), V1=d(d(A, d(d(2, d(1, d(B, W1))), N1)), d(Q, d(B, d(E, W1)))), D=d(d(A, d(d(2, d(1, d(B, X1))), N1)), d(Q, d(B, d(E, X1)))), O1=d(d(A, N), D1), K1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(I, d(2, d(1, F1)))))))), L))), d(I, P))))), L)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(T, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), B1)))), L)))))), d(T, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), B1)))), L))))), R1=d(J1, d(d(A, d(d(2, d(1, S1)), d(B, Y1))), d(d(2, d(1, d(B, d(E, Y1)))), L1))), Z1=d(P1, d(1, R)), M1=d(P1, d(1, O1)), A2=d(P1, G), Y1=d(P1, d(J1, d(d(A, d(d(2, d(1, d(B, A2))), d(B, Z1))), d(d(2, d(1, d(B, d(E, Z1)))), d(B, d(E, A2)))))), W1=d(Q1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(Q1, d(E, d(d(A, d(d(2, d(1, d(B, V1))), S1)), d(d(2, d(1, L1)), d(B, d(E, V1)))))), C=d(Q1, d(d(A, d(d(2, d(1, d(B, T1))), d(B, U1))), d(d(2, d(1, d(B, d(E, U1)))), d(B, d(E, T1)))))]).
mm_proof('pm4.53', d(A, d(d(B, d(d(2, d(1, d(C, D))), E)), d(F, d(C, d(A, D)))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, B))), Q=d(2, d(1, C)), F=d(2, d(1, d(C, R))), S=d(2, d(1, d(C, d(d(B, A), A)))), T=d(2, d(J, d(L, d(1, U)))), V=d(2, d(J, d(L, d(J, d(I, G))))), W=d(2, d(K, X)), Y=d(3, d(W, Z)), A1=d(3, d(W, d(d(2, d(1, d(2, d(K, d(N, X))))), M))), H=d(d(2, 1), 1), B1=d(I, 1), M=d(I, H), C1=d(I, D1), Z=d(K, M), B=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), M))), U=d(d(2, d(1, d(2, H))), M), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), C1)))), M), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(S, H))))), M)))), M), C=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, A1)), d(C, d(d(3, d(3, d(1, G1))), G1))), H1=d(Q, H), D1=d(d(2, d(1, I1)), Z), I1=d(d(2, d(K, d(d(2, d(1, d(2, Z))), H))), H), O=d(W, H), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, C))))), M))), F1)))), M)), H), J1=d(C, d(A, K1)), L1=d(C, d(A, M1)), E=d(C, N1), O1=d(C, K1), P1=d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, d(Q, Q1))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(S, Q1))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, H1)))))), M))), d(K, E1))))), M)), H))), R1=d(C, M1), G1=d(I1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), M))), H))), d(3, d(W, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(P, C1)))), M)))))), M)))))), C1)))), M))), H))))), S1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(A, N1), T1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(V, d(I, H1))))))), M))), d(V, d(I, E1)))))), M)), H), N1), U1=d(d(B, d(d(2, d(1, d(C, V1))), E)), d(F, d(C, d(A, V1)))), W1=d(d(B, d(d(2, d(1, d(C, X1))), E)), d(F, d(C, d(A, X1)))), N1=d(d(B, O), D1), K1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, F1)))))))), M))), d(J, Q))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(T, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), B1)))), M)))))), d(T, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), B1)))), M))))), Q1=d(J1, d(d(B, d(d(2, d(1, R1)), d(C, Y1))), d(d(2, d(1, d(C, d(A, Y1)))), L1))), Z1=d(O1, d(1, R)), M1=d(O1, d(1, N1)), A2=d(O1, H), Y1=d(O1, d(J1, d(d(B, d(d(2, d(1, d(C, A2))), d(C, Z1))), d(d(2, d(1, d(C, d(A, Z1)))), d(C, d(A, A2)))))), V1=d(P1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(P1, d(A, d(d(B, d(d(2, d(1, d(C, U1))), R1)), d(d(2, d(1, L1)), d(C, d(A, U1)))))), D=d(P1, d(A, d(d(B, d(d(2, d(1, d(C, B2))), d(C, W1))), d(d(2, d(1, d(C, d(A, W1)))), d(C, d(A, B2)))))), B2=d(P1, d(d(B, d(d(2, d(1, d(C, S1))), d(C, T1))), d(d(2, d(1, d(C, d(A, T1)))), d(C, d(A, S1)))))]).
mm_proof('pm4.55', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, F))), d(C, d(A, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, C)), N=d(2, d(1, d(C, d(d(B, A), A)))), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), R=d(2, d(I, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(I, d(J, S))))), P))), W=d(d(2, 1), 1), X=d(G, 1), P=d(G, W), Y=d(G, Z), U=d(I, P), B=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), Y)))), P))), Q=d(d(2, d(1, d(2, W))), P), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Y)))), P), C=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(C, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(1, C1)), U), C1=d(d(2, d(I, d(d(2, d(1, d(2, U))), W))), W), K=d(R, W), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), P))), A1)))), P)), W), D1=d(C, d(A, E1)), F1=d(C, E1), G1=d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, H1))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, H1))))), P)))), P)))))), P)), W)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, W))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, W))))), P)))), P)))))), P)), W))), B1=d(C1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), P))), W))), d(3, d(R, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Y)))), P)))))), P)))))), Y)))), P))), W))))), F=d(A, E), E=d(d(B, K), Z), E1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, M))))), P)), W)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), X)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), P))))), H1=d(D1, d(d(B, d(d(2, d(1, d(C, I1))), d(C, J1))), d(d(2, d(1, d(C, d(A, J1)))), d(C, d(A, I1))))), K1=d(F1, d(1, F)), I1=d(F1, d(1, E)), L1=d(F1, W), J1=d(F1, d(D1, d(d(B, d(d(2, d(1, d(C, L1))), d(C, K1))), d(d(2, d(1, d(C, d(A, K1)))), d(C, d(A, L1)))))), M1=d(G1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(G1, d(A, d(d(B, d(d(2, d(1, d(C, M1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(A, M1))))))]).
mm_proof('pm4.56', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, B))), L=d(2, d(1, C)), M=d(2, d(1, d(C, N))), O=d(2, d(1, d(C, d(d(B, A), A)))), P=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, Q))))), d(1, R)))), S=d(2, d(H, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(H, d(I, T))))), Q))), X=d(d(2, 1), 1), Y=d(F, 1), Q=d(F, X), Z=d(F, A1), V=d(H, Q), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), C=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(C, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(H, d(d(2, d(1, d(2, V))), X))), X), J=d(S, X), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, C))))), Q))), B1)))), Q)), X), E1=d(C, d(A, F1)), G1=d(C, d(A, H1)), I1=d(C, J1), K1=d(C, F1), L1=d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, M1))))))), Q))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(O, M1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, X))))))), Q))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(O, X))))), Q)))), Q)))))), Q)), X))), N1=d(C, H1), C1=d(D1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), D=d(A, d(d(B, d(d(2, d(1, d(C, O1))), I1)), d(M, d(C, d(A, O1))))), N=d(A, J1), E=d(A, d(L1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), P1=d(d(B, d(d(2, d(1, d(C, Q1))), I1)), d(M, d(C, d(A, Q1)))), J1=d(d(B, J), A1), F1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, B1)))))))), Q))), d(G, L))))), Q)), X)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(P, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y)))), Q)))))), d(P, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), M1=d(E1, d(d(B, d(d(2, d(1, N1)), d(C, R1))), d(d(2, d(1, d(C, d(A, R1)))), G1))), S1=d(K1, d(1, N)), H1=d(K1, d(1, J1)), T1=d(K1, X), R1=d(K1, d(E1, d(d(B, d(d(2, d(1, d(C, T1))), d(C, S1))), d(d(2, d(1, d(C, d(A, S1)))), d(C, d(A, T1)))))), Q1=d(L1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(L1, d(A, d(d(B, d(d(2, d(1, d(C, P1))), N1)), d(d(2, d(1, G1)), d(C, d(A, P1))))))]).
mm_proof(oran, d(d(A, d(d(2, d(1, d(B, C))), D)), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, B)), E=d(2, d(1, d(B, N))), O=d(2, d(1, d(B, d(d(A, F), F)))), P=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q))))), d(1, R)))), S=d(2, d(I, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(I, d(J, T))))), Q))), X=d(d(2, 1), 1), Y=d(G, 1), Q=d(G, X), Z=d(G, A1), V=d(I, Q), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(I, d(d(2, d(1, d(2, V))), X))), X), K=d(S, X), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), Q))), B1)))), Q)), X), E1=d(B, d(F, F1)), G1=d(B, d(F, H1)), D=d(B, I1), J1=d(B, F1), K1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, L1))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, L1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, X))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, X))))), Q)))), Q)))))), Q)), X))), M1=d(B, H1), C1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), N1=d(F, d(d(A, d(d(2, d(1, d(B, O1))), D)), d(E, d(B, d(F, O1))))), N=d(F, I1), P1=d(F, d(K1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), Q1=d(d(A, d(d(2, d(1, d(B, R1))), D)), d(E, d(B, d(F, R1)))), I1=d(d(A, K), A1), F1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, B1)))))))), Q))), d(H, M))))), Q)), X)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Y)))), Q)))))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), L1=d(E1, d(d(A, d(d(2, d(1, M1)), d(B, S1))), d(d(2, d(1, d(B, d(F, S1)))), G1))), T1=d(J1, d(1, N)), H1=d(J1, d(1, I1)), U1=d(J1, X), S1=d(J1, d(E1, d(d(A, d(d(2, d(1, d(B, U1))), d(B, T1))), d(d(2, d(1, d(B, d(F, T1)))), d(B, d(F, U1)))))), R1=d(K1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C=d(K1, d(F, d(F, d(d(A, d(d(2, d(1, d(B, N1))), d(B, P1))), d(d(2, d(1, d(B, d(F, P1)))), d(B, d(F, N1))))))), O1=d(K1, d(F, d(d(A, d(d(2, d(1, d(B, Q1))), M1)), d(d(2, d(1, G1)), d(B, d(F, Q1))))))]).
mm_proof('pm4.57', d(A, d(d(B, d(d(2, d(1, d(C, D))), E)), d(F, d(C, d(A, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, C)), F=d(2, d(1, d(C, N))), O=d(2, d(1, d(C, d(d(B, A), A)))), P=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q))))), d(1, R)))), S=d(2, d(I, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(I, d(J, T))))), Q))), X=d(d(2, 1), 1), Y=d(G, 1), Q=d(G, X), Z=d(G, A1), V=d(I, Q), B=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), C=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(C, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(I, d(d(2, d(1, d(2, V))), X))), X), K=d(S, X), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), Q))), B1)))), Q)), X), E1=d(C, d(A, F1)), G1=d(C, d(A, H1)), E=d(C, I1), J1=d(C, F1), K1=d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, L1))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, L1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, X))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, X))))), Q)))), Q)))))), Q)), X))), M1=d(C, H1), C1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), N1=d(A, d(d(B, d(d(2, d(1, d(C, O1))), E)), d(F, d(C, d(A, O1))))), N=d(A, I1), P1=d(A, d(K1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), Q1=d(d(B, d(d(2, d(1, d(C, R1))), E)), d(F, d(C, d(A, R1)))), I1=d(d(B, K), A1), F1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, B1)))))))), Q))), d(H, M))))), Q)), X)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y)))), Q)))))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), L1=d(E1, d(d(B, d(d(2, d(1, M1)), d(C, S1))), d(d(2, d(1, d(C, d(A, S1)))), G1))), T1=d(J1, d(1, N)), H1=d(J1, d(1, I1)), U1=d(J1, X), S1=d(J1, d(E1, d(d(B, d(d(2, d(1, d(C, U1))), d(C, T1))), d(d(2, d(1, d(C, d(A, T1)))), d(C, d(A, U1)))))), R1=d(K1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(K1, d(A, d(A, d(d(B, d(d(2, d(1, d(C, N1))), d(C, P1))), d(d(2, d(1, d(C, d(A, P1)))), d(C, d(A, N1))))))), O1=d(K1, d(A, d(d(B, d(d(2, d(1, d(C, Q1))), M1)), d(d(2, d(1, G1)), d(C, d(A, Q1))))))]).
mm_proof('pm3.1', d(A, d(d(B, d(d(2, d(1, d(A, C))), D)), d(E, d(A, d(F, C)))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, B))), Q=d(2, d(1, A)), E=d(2, d(1, d(A, R))), S=d(2, d(1, d(A, d(d(B, F), F)))), T=d(2, d(J, d(L, d(1, U)))), V=d(2, d(J, d(L, d(J, d(I, G))))), W=d(2, d(K, X)), Y=d(3, d(W, Z)), A1=d(3, d(W, d(d(2, d(1, d(2, d(K, d(N, X))))), M))), H=d(d(2, 1), 1), B1=d(I, 1), M=d(I, H), C1=d(I, D1), Z=d(K, M), B=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), M))), U=d(d(2, d(1, d(2, H))), M), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), C1)))), M), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(S, H))))), M)))), M), A=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, A1)), d(A, d(d(3, d(3, d(1, G1))), G1))), H1=d(Q, H), D1=d(d(2, d(1, I1)), Z), I1=d(d(2, d(K, d(d(2, d(1, d(2, Z))), H))), H), O=d(W, H), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, A))))), M))), F1)))), M)), H), J1=d(A, d(F, K1)), D=d(A, L1), M1=d(A, K1), N1=d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, d(Q, O1))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(S, O1))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, H1)))))), M))), d(K, E1))))), M)), H))), G1=d(I1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), M))), H))), d(3, d(W, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(P, C1)))), M)))))), M)))))), C1)))), M))), H))))), P1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(F, d(d(B, d(d(2, d(1, d(A, R1))), D)), d(E, d(A, d(F, R1))))), R=d(F, L1), S1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(V, d(I, H1))))))), M))), d(V, d(I, E1)))))), M)), H), L1), T1=d(d(B, d(d(2, d(1, d(A, P1))), d(A, S1))), d(d(2, d(1, d(A, d(F, S1)))), d(A, d(F, P1)))), L1=d(d(B, O), D1), K1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, F1)))))))), M))), d(J, Q))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(T, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B1)))), M)))))), d(T, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), B1)))), M))))), O1=d(J1, d(d(B, d(d(2, d(1, d(A, U1))), d(A, V1))), d(d(2, d(1, d(A, d(F, V1)))), d(A, d(F, U1))))), W1=d(M1, d(1, R)), U1=d(M1, d(1, L1)), X1=d(M1, H), V1=d(M1, d(J1, d(d(B, d(d(2, d(1, d(A, X1))), d(A, W1))), d(d(2, d(1, d(A, d(F, W1)))), d(A, d(F, X1)))))), R1=d(N1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C=d(N1, d(d(B, d(d(2, d(1, d(A, T1))), d(A, Q1))), d(d(2, d(1, d(A, d(F, Q1)))), d(A, d(F, T1)))))]).
mm_proof('pm3.11', d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), E)), d(F, d(A, d(B, D))))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, C))), Q=d(2, d(1, A)), F=d(2, d(1, d(A, R))), S=d(2, d(1, d(A, d(d(C, B), B)))), T=d(2, d(J, d(L, d(1, U)))), V=d(2, d(J, d(L, d(J, d(I, G))))), W=d(2, d(K, X)), Y=d(3, d(W, Z)), A1=d(3, d(W, d(d(2, d(1, d(2, d(K, d(N, X))))), M))), H=d(d(2, 1), 1), B1=d(I, 1), M=d(I, H), C1=d(I, D1), Z=d(K, M), C=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), M))), U=d(d(2, d(1, d(2, H))), M), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), C1)))), M), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(S, H))))), M)))), M), A=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, A1)), d(A, d(d(3, d(3, d(1, G1))), G1))), H1=d(Q, H), D1=d(d(2, d(1, I1)), Z), I1=d(d(2, d(K, d(d(2, d(1, d(2, Z))), H))), H), O=d(W, H), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, A))))), M))), F1)))), M)), H), J1=d(A, d(B, K1)), E=d(A, L1), M1=d(A, K1), N1=d(A, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, d(Q, O1))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(S, O1))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, H1)))))), M))), d(K, E1))))), M)), H))), G1=d(I1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), M))), H))), d(3, d(W, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(P, C1)))), M)))))), M)))))), C1)))), M))), H))))), P1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(B, d(d(C, d(d(2, d(1, d(A, R1))), E)), d(F, d(A, d(B, R1))))), R=d(B, L1), S1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(V, d(I, H1))))))), M))), d(V, d(I, E1)))))), M)), H), L1), T1=d(d(C, d(d(2, d(1, d(A, P1))), d(A, S1))), d(d(2, d(1, d(A, d(B, S1)))), d(A, d(B, P1)))), L1=d(d(C, O), D1), K1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, F1)))))))), M))), d(J, Q))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, C)))), d(T, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B1)))), M)))))), d(T, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), B1)))), M))))), O1=d(J1, d(d(C, d(d(2, d(1, d(A, U1))), d(A, V1))), d(d(2, d(1, d(A, d(B, V1)))), d(A, d(B, U1))))), W1=d(M1, d(1, R)), U1=d(M1, d(1, L1)), X1=d(M1, H), V1=d(M1, d(J1, d(d(C, d(d(2, d(1, d(A, X1))), d(A, W1))), d(d(2, d(1, d(A, d(B, W1)))), d(A, d(B, X1)))))), R1=d(N1, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(N1, d(d(C, d(d(2, d(1, d(A, T1))), d(A, Q1))), d(d(2, d(1, d(A, d(B, Q1)))), d(A, d(B, T1)))))]).
mm_proof('pm3.13', d(3, d(A, d(B, d(C, d(d(D, d(d(2, d(1, d(B, E))), F)), d(G, d(B, d(C, E))))))))-[H=d(1, I), J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, N))))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, D))), R=d(2, d(1, B)), G=d(2, d(1, d(B, S))), T=d(2, d(1, d(B, d(d(D, C), C)))), U=d(2, d(K, d(M, d(1, V)))), W=d(2, d(K, d(M, d(K, d(J, H))))), A=d(2, d(L, X)), Y=d(3, d(A, Z)), A1=d(3, d(A, d(d(2, d(1, d(2, d(L, d(O, X))))), N))), I=d(d(2, 1), 1), B1=d(J, 1), N=d(J, I), C1=d(J, D1), Z=d(L, N), D=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), C1)))), N))), V=d(d(2, d(1, d(2, I))), N), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), C1)))), N), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(T, I))))), N)))), N), B=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, G1))), G1))), H1=d(R, I), D1=d(d(2, d(1, I1)), Z), I1=d(d(2, d(L, d(d(2, d(1, d(2, Z))), I))), I), P=d(A, I), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, B))))), N))), F1)))), N)), I), J1=d(B, d(C, K1)), F=d(B, L1), M1=d(B, K1), N1=d(B, d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(L, d(R, O1))))))), N))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(T, O1))))), N)))), N)))))), N)), I)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(L, H1)))))), N))), d(L, E1))))), N)), I))), G1=d(I1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), N))), I))), d(3, d(A, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(L, d(O, d(d(2, d(1, d(2, d(Q, C1)))), N)))))), N)))))), C1)))), N))), I))))), P1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(C, d(d(D, d(d(2, d(1, d(B, R1))), F)), d(G, d(B, d(C, R1))))), S=d(C, L1), S1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(W, d(J, H1))))))), N))), d(W, d(J, E1)))))), N)), I), L1), T1=d(d(D, d(d(2, d(1, d(B, P1))), d(B, S1))), d(d(2, d(1, d(B, d(C, S1)))), d(B, d(C, P1)))), L1=d(d(D, P), D1), K1=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(K, d(2, d(1, F1)))))))), N))), d(K, R))))), N)), I)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, D)))), d(U, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), B1)))), N)))))), d(U, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), B1)))), N))))), O1=d(J1, d(d(D, d(d(2, d(1, d(B, U1))), d(B, V1))), d(d(2, d(1, d(B, d(C, V1)))), d(B, d(C, U1))))), W1=d(M1, d(1, S)), U1=d(M1, d(1, L1)), X1=d(M1, I), V1=d(M1, d(J1, d(d(D, d(d(2, d(1, d(B, X1))), d(B, W1))), d(d(2, d(1, d(B, d(C, W1)))), d(B, d(C, X1)))))), R1=d(N1, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(N1, d(d(D, d(d(2, d(1, d(B, T1))), d(B, Q1))), d(d(2, d(1, d(B, d(C, Q1)))), d(B, d(C, T1)))))]).
mm_proof('pm3.14', d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(C, d(d(2, d(1, d(B, D))), E)), d(F, d(B, d(G, D))))))))), H)))), I))), J)-[K=d(1, J), L=d(2, d(1, 1)), M=d(2, d(1, 2)), A=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(M, I))))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, C))), R=d(2, d(1, B)), F=d(2, d(1, d(B, S))), T=d(2, d(1, d(B, d(d(C, G), G)))), U=d(2, d(M, d(N, d(1, V)))), W=d(2, d(M, d(N, d(M, d(L, K))))), X=d(2, d(A, Y)), Z=d(3, d(X, A1)), B1=d(3, d(X, d(d(2, d(1, d(2, d(A, d(O, Y))))), I))), J=d(d(2, 1), 1), C1=d(L, 1), I=d(L, J), H=d(L, D1), A1=d(A, I), C=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), H)))), I))), V=d(d(2, d(1, d(2, J))), I), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), I), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(T, J))))), I)))), I), B=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, B1)), d(B, d(d(3, d(3, d(1, G1))), G1))), H1=d(R, J), D1=d(d(2, d(1, I1)), A1), I1=d(d(2, d(A, d(d(2, d(1, d(2, A1))), J))), J), P=d(X, J), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, B))))), I))), F1)))), I)), J), J1=d(B, d(G, K1)), E=d(B, L1), M1=d(B, K1), N1=d(B, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(A, d(R, O1))))))), I))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(T, O1))))), I)))), I)))))), I)), J)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(A, H1)))))), I))), d(A, E1))))), I)), J))), G1=d(I1, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), J))), d(3, d(X, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(A, d(O, d(d(2, d(1, d(2, d(Q, H)))), I)))))), I)))))), H)))), I))), J))))), P1=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(G, d(d(C, d(d(2, d(1, d(B, R1))), E)), d(F, d(B, d(G, R1))))), S=d(G, L1), S1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(W, d(L, H1))))))), I))), d(W, d(L, E1)))))), I)), J), L1), T1=d(d(C, d(d(2, d(1, d(B, P1))), d(B, S1))), d(d(2, d(1, d(B, d(G, S1)))), d(B, d(G, P1)))), L1=d(d(C, P), D1), K1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(M, d(2, d(1, F1)))))))), I))), d(M, R))))), I)), J)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, C)))), d(U, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), C1)))), I)))))), d(U, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), C1)))), I))))), O1=d(J1, d(d(C, d(d(2, d(1, d(B, U1))), d(B, V1))), d(d(2, d(1, d(B, d(G, V1)))), d(B, d(G, U1))))), W1=d(M1, d(1, S)), U1=d(M1, d(1, L1)), X1=d(M1, J), V1=d(M1, d(J1, d(d(C, d(d(2, d(1, d(B, X1))), d(B, W1))), d(d(2, d(1, d(B, d(G, W1)))), d(B, d(G, X1)))))), R1=d(N1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(N1, d(d(C, d(d(2, d(1, d(B, T1))), d(B, Q1))), d(d(2, d(1, d(B, d(G, Q1)))), d(B, d(G, T1)))))]).
mm_proof('pm4.44', d(d(A, d(d(2, d(1, d(B, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, B))))), E))), d(d(2, d(1, F)), d(B, d(d(3, d(3, d(1, G))), G))))))), E)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(I, E))), d(d(2, d(J, d(I, d(d(2, d(d(2, d(1, 2)), d(D, K))), d(J, d(L, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(J, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), N)))), E)))))), E))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), H))-[K=d(1, H), D=d(2, d(1, 1)), J=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), I=d(2, d(1, d(2, O))), C=d(2, d(1, d(2, A))), M=d(2, d(J, P)), Q=d(3, d(M, O)), F=d(3, d(M, d(d(2, d(1, d(2, d(J, d(L, P))))), E))), H=d(d(2, 1), 1), E=d(D, H), N=d(D, d(d(2, d(1, R)), O)), O=d(J, E), A=d(d(2, d(1, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), E)))), N)))), E))), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), N)))), E), B=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(J, d(I, H))), H), G=d(R, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), E))), H))), d(3, d(M, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(J, d(L, d(d(2, d(1, d(2, d(C, N)))), E)))))), E)))))), N)))), E))), H)))))]).
mm_proof('pm4.45', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), d(d(2, d(1, d(A, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(F, G)))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), F=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), P=d(2, d(1, M)), Q=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, G))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, N)), U=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), G))), M=d(d(2, 1), 1), V=d(H, 1), G=d(H, M), W=d(H, d(d(2, d(1, X)), N)), N=d(J, G), Y=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), W)))), G)), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), R=d(d(2, d(1, d(2, M))), G), S=d(d(2, d(1, d(2, d(d(2, d(1, P)), W)))), G), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, A1))))), Y)))), G), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, U)), C1), D1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), W)))), G)))))), G))))), E1), F1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), G)))))), G))))), E1), X=d(d(2, d(J, d(F, M))), M), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(1, D1)))))), G))), Z)))), G)), M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, A))))), G))), B1)))), G)), M), H1=d(d(3, d(3, d(1, I1))), I1), E1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(A, H1), A1=d(A, J1), K1=d(A, L1), I1=d(X, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), G))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(O, W)))), G)))))), G)))))), W)))), G))), M))))), M1=d(G1, D1), J1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(E, d(d(B, d(d(2, d(1, A1)), C1)), d(d(2, d(1, d(A, d(E, H1)))), d(A, d(E, J1))))), C=d(d(B, d(d(2, d(1, d(A, N1))), d(A, M1))), d(d(2, d(1, d(A, d(E, M1)))), d(A, d(E, N1)))), L1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(I, d(2, d(1, B1)))))))), G))), d(I, d(2, d(1, A))))))), G)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(Q, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), V)))), G)))))), d(Q, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), V)))), G))))), O1=d(K1, d(1, d(d(B, F1), F1))), P1=d(K1, G1), D=d(K1, d(d(A, d(E, L1)), d(d(B, d(d(2, d(1, d(A, O1))), d(A, P1))), d(d(2, d(1, d(A, d(E, P1)))), d(A, d(E, O1))))))]).
mm_proof(orabs, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, A))), O=d(2, d(1, K)), P=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, Q))))), d(1, R)))), J=d(2, d(H, S)), T=d(3, d(J, M)), U=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, S))))), Q))), K=d(d(2, 1), 1), V=d(F, 1), Q=d(F, K), W=d(F, d(d(2, d(1, X)), M)), M=d(H, Q), Y=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), W)))), Q)), A=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), R=d(d(2, d(1, d(2, K))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), W)))), Q), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, A1))))), Y)))), Q), B=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, U)), C1), D1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), W)))), Q)))))), Q))))), E1), F1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), Q)))))), Q))))), E1), X=d(d(2, d(H, d(L, K))), K), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, d(1, D1)))))), Q))), Z)))), Q)), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, B))))), Q))), B1)))), Q)), K), H1=d(d(3, d(3, d(1, I1))), I1), E1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(B, H1), A1=d(B, J1), K1=d(B, L1), I1=d(X, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), Q))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(N, W)))), Q)))))), Q)))))), W)))), Q))), K))))), M1=d(G1, D1), J1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, N1), O1=d(E, d(d(A, d(d(2, d(1, A1)), C1)), d(d(2, d(1, d(B, d(E, H1)))), d(B, d(E, J1))))), N1=d(d(A, F1), F1), P1=d(d(A, d(d(2, d(1, d(B, O1))), d(B, M1))), d(d(2, d(1, d(B, d(E, M1)))), d(B, d(E, O1)))), L1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, d(G, d(2, d(1, B1)))))))), Q))), d(G, d(2, d(1, B))))))), Q)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(P, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), V)))), Q)))))), d(P, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), V)))), Q))))), D=d(d(B, d(d(A, d(d(2, d(1, d(B, P1))), d(B, Q1))), d(d(2, d(1, d(B, d(E, Q1)))), d(B, d(E, P1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(L, Q))), R1=d(K1, d(1, N1)), S1=d(K1, G1), Q1=d(K1, d(d(B, d(E, L1)), d(d(A, d(d(2, d(1, d(B, R1))), d(B, S1))), d(d(2, d(1, d(B, d(E, S1)))), d(B, d(E, R1))))))]).
mm_proof(oranabs, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, A))), O=d(2, d(1, P)), Q=d(2, d(1, B)), R=d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(1, d(B, S))), T=d(2, d(1, d(B, d(F, U)))), V=d(2, d(1, W)), X=d(2, d(1, Y)), Z=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, A1))))), d(1, B1)))), C1=d(2, d(I, D1)), E1=d(3, d(C1, M)), F1=d(3, d(C1, d(d(2, d(1, d(2, d(I, d(J, D1))))), A1))), P=d(d(2, 1), 1), G1=d(G, 1), H1=d(G, d(1, d(R, 1))), A1=d(G, P), I1=d(G, J1), M=d(I, A1), K1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), I1)))), A1)), A=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1), B1=d(d(2, d(1, d(2, P))), A1), D1=d(d(2, d(1, d(2, d(d(2, d(1, O)), I1)))), A1), B=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, F1)), d(B, d(d(3, d(3, d(1, M1))), M1))), N1=d(d(2, d(1, d(3, d(C1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(B, O1)))))), K1)))), A1)))), I1)))), A1)))))), A1))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, P1)), M), P1=d(d(2, d(I, d(L, P))), P), Q1=d(d(2, d(I, d(L, d(d(2, d(H, H1)), d(I, d(J, d(d(2, d(1, d(2, d(1, d(R, d(L, A1)))))), R1))))))), P), K=d(C1, P), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, B))))), A1))), L1)))), A1)), P), R1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(B, d(F, T1)), U1=d(B, d(F, V1)), W=d(B, d(F, W1)), X1=d(B, T1), Y=d(B, V1), Y1=d(B, U), Z1=d(B, W1), M1=d(P1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), A1))), P))), d(3, d(C1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(N, I1)))), A1)))))), A1)))))), I1)))), A1))), P))))), O1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S=d(F, D), A2=d(F, d(d(A, d(d(2, d(1, d(B, B2))), Y1)), d(T, d(B, d(F, B2))))), D=d(d(A, N1), N1), C=d(d(A, d(E, d(B, C2))), d(d(2, d(1, d(B, d(F, C2)))), d(B, d(F, S)))), D2=d(d(A, d(d(2, d(1, d(B, E2))), d(B, F2))), d(d(2, d(1, d(B, d(F, F2)))), d(B, d(F, E2)))), B2=d(d(A, d(d(2, d(1, d(B, G2))), Y)), d(d(2, d(1, U1)), d(B, d(F, G2)))), E2=d(d(A, d(d(2, d(1, d(B, H2))), X1)), d(d(2, d(1, S1)), d(B, d(F, H2)))), G2=d(d(A, d(X, Y1)), d(T, U1)), I2=d(d(A, K), J1), T1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(H, d(2, d(1, L1)))))))), A1))), d(H, Q))))), A1)), P)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(Z, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), G1)))), A1)))))), d(Z, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), G1)))), A1))))), H2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(I, d(Q, J2))))))), A1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(X, J2))))), A1)))), A1)))))), A1)), P)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(I, d(Q, P))))))), A1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(X, P))))), A1)))), A1)))))), A1)), P)), V1=d(d(A, F), F), U=d(d(A, d(S1, d(d(A, d(d(2, d(1, d(B, K2))), Z1)), d(V, d(B, d(F, K2)))))), d(S1, d(d(A, d(d(2, d(1, d(B, L2))), Z1)), d(V, d(B, d(F, L2)))))), J2=d(S1, d(d(A, d(d(2, d(1, d(B, M2))), d(B, N2))), d(d(2, d(1, d(B, d(F, N2)))), d(B, d(F, M2))))), C2=d(d(B, d(d(A, d(d(2, d(1, d(B, A2))), d(B, D2))), d(d(2, d(1, d(B, d(F, D2)))), d(B, d(F, A2))))), d(X, d(S1, d(d(A, d(d(2, d(1, d(B, O2))), d(B, P2))), d(d(2, d(1, d(B, d(F, P2)))), d(B, d(F, O2))))))), K2=d(X1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L2=d(X1, d(1, O1)), Q2=d(X1, d(1, d(F, I2))), O2=d(X1, d(1, d(d(A, Q1), Q1))), M2=d(X1, d(1, I2)), F2=d(X1, d(1, H2)), W1=d(X1, P), P2=d(X1, d(d(2, d(1, d(X, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, H1)))), A1))), d(d(2, d(1, d(2, R1))), A1))))), A1)), P)))), K)), N2=d(X1, d(S1, d(d(A, d(d(2, d(1, Z1)), d(B, Q2))), d(d(2, d(1, d(B, d(F, Q2)))), W))))]).
mm_proof('pm5.61', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, K)), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, A))), K=d(2, d(1, Q)), R=d(2, d(1, B)), E=d(2, d(1, d(B, S))), T=d(2, d(1, d(B, d(F, U)))), V=d(2, d(1, W)), X=d(2, d(1, Y)), Z=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, A1))))), d(1, B1)))), C1=d(2, d(I, D1)), E1=d(3, d(C1, O)), F1=d(3, d(C1, d(d(2, d(1, d(2, d(I, d(L, D1))))), A1))), Q=d(d(2, 1), 1), G1=d(G, 1), A1=d(G, Q), H1=d(G, I1), O=d(I, A1), J1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), H1)))), A1)), A=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), B1=d(d(2, d(1, d(2, Q))), A1), K1=d(N, A1), D1=d(d(2, d(1, d(2, d(J, H1)))), A1), B=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, F1)), d(B, d(d(3, d(3, d(1, M1))), M1))), N1=d(d(2, d(1, d(3, d(C1, d(d(2, d(1, d(2, d(I, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(B, O1)))))), J1)))), A1)))), H1)))), A1)))))), A1))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, P1)), O), P1=d(d(2, d(I, d(N, Q))), Q), M=d(C1, Q), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(G, B))))), A1))), L1)))), A1)), Q), Q1=d(B, d(F, R1)), S1=d(B, d(F, T1)), W=d(B, d(F, U1)), V1=d(B, R1), Y=d(B, T1), W1=d(B, U), X1=d(B, U1), M1=d(P1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), A1))), Q))), d(3, d(C1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(2, d(1, d(2, d(I, d(L, d(d(2, d(1, d(2, d(P, H1)))), A1)))))), A1)))))), H1)))), A1))), Q))))), O1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S=d(F, D), Y1=d(F, d(d(A, d(d(2, d(1, d(B, Z1))), W1)), d(T, d(B, d(F, Z1))))), D=d(d(A, N1), N1), C=d(d(A, d(E, d(B, A2))), d(d(2, d(1, d(B, d(F, A2)))), d(B, d(F, S)))), B2=d(d(A, d(d(2, d(1, d(B, C2))), d(B, D2))), d(d(2, d(1, d(B, d(F, D2)))), d(B, d(F, C2)))), Z1=d(d(A, d(d(2, d(1, d(B, E2))), Y)), d(d(2, d(1, S1)), d(B, d(F, E2)))), C2=d(d(A, d(d(2, d(1, d(B, F2))), V1)), d(d(2, d(1, Q1)), d(B, d(F, F2)))), E2=d(d(A, d(X, W1)), d(T, S1)), G2=d(d(A, M), I1), R1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(G, d(H, d(2, d(1, L1)))))))), A1))), d(H, R))))), A1)), Q)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(Z, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), G1)))), A1)))))), d(Z, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), G1)))), A1))))), F2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(G, d(I, d(R, H2))))))), A1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(X, H2))))), A1)))), A1)))))), A1)), Q)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(G, d(I, d(R, Q))))))), A1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(X, Q))))), A1)))), A1)))))), A1)), Q)), T1=d(d(A, F), F), U=d(d(A, d(Q1, d(d(A, d(d(2, d(1, d(B, I2))), X1)), d(V, d(B, d(F, I2)))))), d(Q1, d(d(A, d(d(2, d(1, d(B, J2))), X1)), d(V, d(B, d(F, J2)))))), H2=d(Q1, d(d(A, d(d(2, d(1, d(B, K2))), d(B, L2))), d(d(2, d(1, d(B, d(F, L2)))), d(B, d(F, K2))))), A2=d(d(B, d(d(A, d(d(2, d(1, d(B, Y1))), d(B, B2))), d(d(2, d(1, d(B, d(F, B2)))), d(B, d(F, Y1))))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(G, d(1, d(d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), K1))))))), A1))), d(d(2, d(1, d(2, d(d(2, d(I, d(N, d(d(2, d(H, d(G, d(1, d(J, A1))))), d(I, d(L, d(d(2, d(1, d(2, d(1, K1)))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q)))), A1))))), A1)), Q)), I2=d(V1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J2=d(V1, d(1, O1)), M2=d(V1, d(1, d(F, G2))), K2=d(V1, d(1, G2)), D2=d(V1, d(1, F2)), U1=d(V1, Q), L2=d(V1, d(Q1, d(d(A, d(d(2, d(1, X1)), d(B, M2))), d(d(2, d(1, d(B, d(F, M2)))), W))))]).
mm_proof('pm5.6', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, A))), O=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, P))))), F))), L=d(2, d(J, Q)), R=d(3, d(L, S)), T=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Q))))), P))), M=d(d(2, 1), 1), U=d(H, 1), P=d(H, M), V=d(H, d(d(2, d(1, W)), S)), S=d(J, P), X=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), V)))), P)), A=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), G=d(d(2, d(1, d(2, M))), P), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), V)))), P), B=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(1, T)), d(B, d(d(3, d(3, d(1, Z))), Z))), W=d(d(2, d(J, d(d(2, d(1, d(2, S))), M))), M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, B))))), P))), Y)))), P)), M), Z=d(W, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), P))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, V)))), P)))))), P)))))), V)))), P))), M))))), C=d(E, d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, Y)))))))), P))), d(I, d(2, d(1, B))))))), P)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(O, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), U)))), P)))))), d(O, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), U)))), P)))))), d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), D=d(d(A, d(d(2, d(1, d(2, d(O, d(H, d(d(2, d(1, d(2, d(1, d(d(2, F), d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), X)))))), P)), d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(H, d(d(2, d(1, d(2, d(O, P)))), P)))))), P)))), V)))), P)))))), P))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P))]).
mm_proof(orcanai, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), G))))), H))))))), H)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), G)))), H))), J=d(3, d(C, K)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), H=d(I, E), G=d(I, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, K))), E))), E))), K)), K=d(D, H), F=d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof('pm4.79', d(d(A, d(d(2, d(B, d(C, d(d(2, d(D, d(E, d(1, d(d(2, d(1, d(2, d(F, d(E, G))))), H))))), d(B, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(F, d(E, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(B, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, G)), K))))), L)))), H)))), M)))), H)))))), H))))), N)))))), H))))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P)), d(d(2, d(1, d(O, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, H))))), R))), d(E, d(d(2, d(1, d(2, d(1, d(d(2, R), K))))), L)))))), H)))), d(E, S))))), H)))-[R=d(1, T), E=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, P))))), F=d(2, d(1, d(2, P))), C=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, A))), J=d(2, d(B, W)), S=d(3, d(J, U)), X=d(3, d(J, d(d(2, d(1, d(2, d(B, d(I, W))))), H))), P=d(d(2, 1), 1), H=d(E, P), M=d(E, d(d(2, d(1, Y)), U)), U=d(B, H), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), M)))), H)), A=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L), T=d(F, H), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), M)))), H), O=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(B, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), M)))), H)))))), H))))), N), Y=d(d(2, d(B, d(C, P))), P), Q=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(E, O))))), H))), d(d(2, d(1, X)), d(O, d(d(3, d(3, d(1, Z))), Z))))))), H)), P), N=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(O, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H))), P))), d(3, d(J, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(B, d(I, d(d(2, d(1, d(2, d(V, M)))), H)))))), H)))))), M)))), H))), P)))))]).
mm_proof('pm5.53', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, P))))), Q)))), R=d(2, d(1, d(2, A))), L=d(2, d(1, S)), T=d(2, d(1, B)), U=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), V=d(2, d(1, d(B, W))), X=d(2, d(1, d(B, d(E, Y)))), Z=d(2, d(1, A1)), B1=d(2, d(1, C1)), D1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, E1))))), d(1, F1)))), G1=d(2, d(H, H1)), I1=d(3, d(G1, N)), J1=d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, H1))))), E1))), S=d(d(2, 1), 1), K1=d(F, 1), E1=d(F, S), L1=d(F, M1), N=d(H, E1), Q=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), L1)))), E1)), A=d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q), F1=d(d(2, d(1, d(2, S))), E1), H1=d(d(2, d(1, d(2, d(d(2, d(1, L)), L1)))), E1), B=d(d(2, d(1, I1)), d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, J1)), d(B, d(d(3, d(3, d(1, O1))), O1))), P1=d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), L1)))), E1)))))), E1))))), Q1), R1=d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, E1)))), L1)))), E1)))))), E1))))), Q1), M1=d(d(2, d(1, S1)), N), S1=d(d(2, d(H, d(M, S))), S), J=d(G1, S), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(F, B))))), E1))), N1)))), E1)), S), Q1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(B, T1), U1=d(B, d(E, V1)), W1=d(B, d(E, X1)), A1=d(B, d(E, Y1)), Z1=d(B, V1), C1=d(B, X1), A2=d(B, Y), B2=d(B, Y1), O1=d(S1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1)))), E1))), S))), d(3, d(G1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(R, L1)))), E1)))))), E1)))))), L1)))), E1))), S))))), T1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(E, C2), D2=d(E, d(d(A, d(d(2, d(1, d(B, E2))), A2)), d(X, d(B, d(E, E2))))), C2=d(d(A, R1), R1), F2=d(d(A, d(V, d(B, G2))), d(d(2, d(1, d(B, d(E, G2)))), d(B, d(E, W)))), C=d(d(A, d(d(2, d(1, d(B, F2))), d(B, C2))), d(V, d(B, d(E, F2)))), H2=d(d(A, d(d(2, d(1, d(B, I2))), d(B, J2))), d(d(2, d(1, d(B, d(E, J2)))), d(B, d(E, I2)))), E2=d(d(A, d(d(2, d(1, d(B, K2))), C1)), d(d(2, d(1, W1)), d(B, d(E, K2)))), I2=d(d(A, d(d(2, d(1, d(B, L2))), Z1)), d(d(2, d(1, U1)), d(B, d(E, L2)))), K2=d(d(A, d(B1, A2)), d(X, W1)), M2=d(d(A, J), M1), V1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(F, d(G, d(2, d(1, N1)))))))), E1))), d(G, T))))), E1)), S)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(D1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), K1)))), E1)))))), d(D1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), K1)))), E1))))), L2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(F, d(H, d(T, N2))))))), E1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(B1, N2))))), E1)))), E1)))))), E1)), S)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(F, d(H, d(T, S))))))), E1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(B1, S))))), E1)))), E1)))))), E1)), S)), X1=d(d(A, E), E), D=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(d(2, d(1, d(2, d(K, d(F, d(U, 1)))))), E1)))))), E1))), d(d(2, d(1, d(2, d(K, d(F, d(U, d(M, E1))))))), E1))), S)), d(d(2, d(1, d(2, d(d(2, d(H, d(M, d(d(2, d(G, d(F, d(1, d(d(2, d(1, d(2, P1))), E1))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P1)), P))))), Q)))), E1)))), L1)))), E1)))))), E1))))), Q1)))), E1))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), S)))), E1)), Y=d(d(A, d(U1, d(d(A, d(d(2, d(1, d(B, O2))), B2)), d(Z, d(B, d(E, O2)))))), d(U1, d(d(A, d(d(2, d(1, d(B, P2))), B2)), d(Z, d(B, d(E, P2)))))), N2=d(U1, d(d(A, d(d(2, d(1, d(B, Q2))), d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), d(B, d(E, Q2))))), G2=d(d(B, d(d(A, d(d(2, d(1, d(B, D2))), d(B, H2))), d(d(2, d(1, d(B, d(E, H2)))), d(B, d(E, D2))))), d(1, D)), O2=d(Z1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P2=d(Z1, d(1, T1)), S2=d(Z1, d(1, d(E, M2))), Q2=d(Z1, d(1, M2)), J2=d(Z1, d(1, L2)), Y1=d(Z1, S), R2=d(Z1, d(U1, d(d(A, d(d(2, d(1, B2)), d(B, S2))), d(d(2, d(1, d(B, d(E, S2)))), A1))))]).
mm_proof(ordi, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, C))))-[E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, I)))), J=d(2, d(1, d(2, K))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, B)), P=d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), S)))), R)))))), R))))), T))), U=d(2, d(1, d(B, V))), W=d(2, d(1, d(B, d(D, X)))), Y=d(2, d(1, d(B, d(D, Z)))), A1=d(2, d(1, B1)), C1=d(2, d(1, D1)), E1=d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, R))))), d(1, F1)))), Q=d(2, d(G, G1)), H1=d(3, d(Q, I1)), J1=d(3, d(Q, d(d(2, d(1, d(2, d(G, d(H, G1))))), R))), N=d(d(2, 1), 1), K1=d(E, 1), R=d(E, N), S=d(E, L1), I1=d(G, R), M1=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), S)))), R)), K=d(d(2, d(1, d(2, d(1, d(M, N1))))), M1), A=d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1), F1=d(d(2, d(1, d(2, N))), R), G1=d(d(2, d(1, d(2, d(d(2, d(1, M)), S)))), R), B=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(d(2, d(1, J1)), d(B, d(d(3, d(3, d(1, P1))), P1))), Q1=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, R)))), S)))), R)))))), R))))), T), L1=d(d(2, d(1, R1)), I1), R1=d(d(2, d(G, d(d(2, d(1, d(2, I1))), N))), N), I=d(Q, N), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, B))))), R))), O1)))), R)), N), T=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(B, S1), T1=d(B, d(D, U1)), V1=d(B, d(D, W1)), B1=d(B, d(D, X1)), Y1=d(B, U1), D1=d(B, W1), Z1=d(B, X), A2=d(B, Z), B2=d(B, X1), P1=d(R1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), R))), N))), d(3, d(Q, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(L, S)))), R)))))), R)))))), S)))), R))), N))))), S1=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(D, C2), D2=d(D, d(d(A, d(d(2, d(1, d(B, E2))), A2)), d(Y, d(B, d(D, E2))))), F2=d(D, d(d(A, d(d(2, d(1, d(B, G2))), Z1)), d(W, d(B, d(D, G2))))), C2=d(d(A, Q1), Q1), H2=d(d(A, d(U, A2)), d(Y, d(B, d(D, V)))), C=d(d(A, d(d(2, d(1, d(B, D2))), d(B, I2))), d(d(2, d(1, d(B, d(D, I2)))), d(B, d(D, D2)))), E2=d(d(A, d(d(2, d(1, d(B, H2))), d(B, C2))), d(U, d(B, d(D, H2)))), J2=d(d(A, d(d(2, d(1, d(B, K2))), d(B, L2))), d(d(2, d(1, d(B, d(D, L2)))), d(B, d(D, K2)))), G2=d(d(A, d(d(2, d(1, d(B, M2))), D1)), d(d(2, d(1, V1)), d(B, d(D, M2)))), K2=d(d(A, d(d(2, d(1, d(B, N2))), Y1)), d(d(2, d(1, T1)), d(B, d(D, N2)))), M2=d(d(A, d(C1, Z1)), d(W, V1)), O2=d(d(A, I), L1), U1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(F, d(2, d(1, O1)))))))), R))), d(F, O))))), R)), N)), d(d(2, d(F, d(d(2, d(1, d(2, d(1, A)))), d(E1, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), K1)))), R)))))), d(E1, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), K1)))), R))))), N2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(G, d(O, P2))))))), R))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(C1, P2))))), R)))), R)))))), R)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(G, d(O, N))))))), R))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(C1, N))))), R)))), R)))))), R)), N)), W1=d(d(A, D), D), I2=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, N1))))), M1)))), R)))), S)))), R)))))), R))))), T)))))))), R))), P)), N)), d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(2, d(1, K)))))), S)))), R)))))), R))))), T)), X=d(d(A, d(T1, d(d(A, d(d(2, d(1, d(B, Q2))), B2)), d(A1, d(B, d(D, Q2)))))), d(T1, d(d(A, d(d(2, d(1, d(B, R2))), B2)), d(A1, d(B, d(D, R2)))))), P2=d(T1, d(d(A, d(d(2, d(1, d(B, S2))), d(B, T2))), d(d(2, d(1, d(B, d(D, T2)))), d(B, d(D, S2))))), Z=d(d(B, d(d(A, d(d(2, d(1, d(B, F2))), d(B, J2))), d(d(2, d(1, d(B, d(D, J2)))), d(B, d(D, F2))))), d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q2=d(Y1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R2=d(Y1, d(1, S1)), U2=d(Y1, d(1, d(D, O2))), S2=d(Y1, d(1, O2)), L2=d(Y1, d(1, N2)), X1=d(Y1, N), T2=d(Y1, d(T1, d(d(A, d(d(2, d(1, B2)), d(B, U2))), d(d(2, d(1, d(B, d(D, U2)))), B1))))]).
mm_proof(ordir, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, Q)), R=d(2, d(1, B)), S=d(2, d(1, d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), U)))))), U))))), W))), X=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Y=d(2, d(1, d(B, Z))), A1=d(2, d(1, d(B, d(E, B1)))), C1=d(2, d(1, d(B, d(E, D1)))), E1=d(2, d(1, d(B, d(E, F1)))), G1=d(2, d(1, H1)), I1=d(2, d(1, J1)), K1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, U))))), d(1, L1)))), T=d(2, d(H, M1)), N1=d(3, d(T, L)), O1=d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, M1))))), U))), Q=d(d(2, 1), 1), P1=d(F, 1), U=d(F, Q), V=d(F, Q1), L=d(H, U), R1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), V)))), U)), N=d(d(2, d(1, d(2, d(1, d(P, S1))))), R1), A=d(d(2, d(1, d(2, d(1, d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R1), L1=d(d(2, d(1, d(2, Q))), U), M1=d(d(2, d(1, d(2, d(d(2, d(1, P)), V)))), U), B=d(d(2, d(1, N1)), d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T1=d(d(2, d(1, O1)), d(B, d(d(3, d(3, d(1, U1))), U1))), V1=d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, U)))), V)))), U)))))), U))))), W), Q1=d(d(2, d(1, W1)), L), W1=d(d(2, d(H, d(K, Q))), Q), X1=d(d(2, d(H, d(K, d(d(2, d(G, d(F, d(1, d(X, 1))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(X, d(K, U)))))), Y1))))))), Q), J=d(T, Q), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, B))))), U))), T1)))), U)), Q), W=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(B, Z1), A2=d(B, d(E, Z)), B2=d(B, d(E, C2)), D2=d(B, d(E, E2)), H1=d(B, d(E, F2)), G2=d(B, H2), I2=d(B, d(d(A, d(d(2, d(1, d(B, J2))), d(B, K2))), d(d(2, d(1, d(B, d(E, K2)))), d(B, d(E, J2))))), L2=d(B, C2), J1=d(B, E2), M2=d(B, B1), N2=d(B, D1), O2=d(B, F1), P2=d(B, F2), U1=d(W1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), U))), Q))), d(3, d(T, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(O, V)))), U)))))), U)))))), V)))), U))), Q))))), Z1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(E, H2), Q2=d(E, d(d(A, d(d(2, d(1, d(B, R2))), N2)), d(C1, d(B, d(E, R2))))), S2=d(E, d(d(A, d(d(2, d(1, d(B, T2))), O2)), d(E1, d(B, d(E, T2))))), J2=d(E, d(d(A, d(d(2, d(1, d(B, U2))), M2)), d(A1, d(B, d(E, U2))))), H2=d(d(A, V1), V1), V2=d(d(A, d(Y, N2)), d(C1, A2)), W2=d(d(A, d(Y, O2)), d(E1, A2)), X2=d(d(A, d(d(2, d(1, d(B, Q2))), d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), d(B, d(E, Q2)))), C=d(d(A, d(d(2, d(1, d(B, S2))), d(B, Z2))), d(d(2, d(1, d(B, d(E, Z2)))), d(B, d(E, S2)))), R2=d(d(A, d(d(2, d(1, d(B, V2))), G2)), d(Y, d(B, d(E, V2)))), T2=d(d(A, d(d(2, d(1, d(B, W2))), G2)), d(Y, d(B, d(E, W2)))), Z2=d(d(A, d(d(2, d(1, d(B, X2))), Y1)), d(X, d(B, d(E, X2)))), K2=d(d(A, d(d(2, d(1, d(B, A3))), d(B, B3))), d(d(2, d(1, d(B, d(E, B3)))), d(B, d(E, A3)))), U2=d(d(A, d(d(2, d(1, d(B, C3))), J1)), d(d(2, d(1, D2)), d(B, d(E, C3)))), A3=d(d(A, d(d(2, d(1, d(B, D3))), L2)), d(d(2, d(1, B2)), d(B, d(E, D3)))), C3=d(d(A, d(I1, M2)), d(A1, D2)), D=d(d(A, X1), X1), E3=d(d(A, J), Q1), C2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(G, d(2, d(1, T1)))))))), U))), d(G, R))))), U)), Q)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(K1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), P1)))), U)))))), d(K1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T1))), P1)))), U))))), D3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(H, d(R, F3))))))), U))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(I1, F3))))), U)))), U)))))), U)), Q)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(H, d(R, Q))))))), U))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(I1, Q))))), U)))), U)))))), U)), Q)), E2=d(d(A, E), E), Y2=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(2, d(1, d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, S1))))), R1)))), U)))), V)))), U)))))), U))))), W)))))))), U))), S)), Q)), d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, d(2, d(1, N)))))), V)))), U)))))), U))))), W)), B1=d(d(A, d(B2, d(d(A, d(d(2, d(1, d(B, G3))), P2)), d(G1, d(B, d(E, G3)))))), d(B2, d(d(A, d(d(2, d(1, d(B, H3))), P2)), d(G1, d(B, d(E, H3)))))), F3=d(B2, d(d(A, d(d(2, d(1, d(B, I3))), d(B, J3))), d(d(2, d(1, d(B, d(E, J3)))), d(B, d(E, I3))))), D1=d(I2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(I2, d(1, D)), G3=d(L2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H3=d(L2, d(1, Z1)), K3=d(L2, d(1, d(E, E3))), I3=d(L2, d(1, E3)), B3=d(L2, d(1, D3)), F2=d(L2, Q), J3=d(L2, d(B2, d(d(A, d(d(2, d(1, P2)), d(B, K3))), d(d(2, d(1, d(B, d(E, K3)))), H1))))]).
mm_proof(andi, d(d(A, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(C, d(E, d(d(2, d(F, d(G, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H)), I))))), J)))), K))))), d(C, d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), I))))), J)))), K))))), M))))))), N)))), K)))), O)))), K)))))), K))))), P)), d(d(2, d(C, d(E, d(d(2, d(F, d(G, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(G, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, H)))), O)))), K)))))), K))))), P))), I))))), J)))), K)))), O)))), K)))))), K))))), P)))))), K))), R)), N))))), d(C, d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(G, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, L)))), O)))), K)))))), K))))), P))), I))))), J)))), K)))), O)))), K)))))), K))))), P)))))), K))), R)), N))))), M))))))), N))-[G=d(2, d(1, 1)), F=d(2, d(1, 2)), C=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, d(B, N))))), E=d(2, d(1, d(2, S))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, I))))), J)))), K)))), K)))), K)))), K)))), O)))), K)))))), K))))), P))), I))))), J)))), U=d(2, d(1, d(2, A))), T=d(2, d(1, N)), V=d(2, d(1, d(W, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), B=d(2, d(C, Y)), Z=d(3, d(B, S)), A1=d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, Y))))), K))), N=d(d(2, 1), 1), K=d(G, N), O=d(G, d(d(2, d(1, B1)), S)), S=d(C, K), J=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), O)))), K)), A=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J), Y=d(d(2, d(1, d(2, d(d(2, d(1, T)), O)))), K), W=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), O)))), K)))))), K))))), P), L=d(V, 1), H=d(V, d(E, K)), B1=d(d(2, d(C, d(E, N))), N), X=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(G, W))))), K))), d(d(2, d(1, A1)), d(W, d(d(3, d(3, d(1, C1))), C1))))))), K)), N), P=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(W, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(B1, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), K))), N))), d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(U, O)))), K)))))), K)))))), O)))), K))), N)))))]).
mm_proof(andir, d(d(A, d(d(2, d(1, d(B, C))), D)), d(d(2, d(1, E)), d(B, d(F, C))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, S)))), S)))), S)))), T)))), S)))))), S))))), U))), V))))), W)))), X=d(2, d(1, d(2, A))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, V))))), W)))), S)))), Y=d(2, d(1, N)), Z=d(2, d(1, A1)), B1=d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), C1=d(2, d(1, d(B, d(F, D1)))), E1=d(2, d(1, F1)), G1=d(2, d(J, d(I, d(1, d(Z, N))))), M=d(2, d(K, H1)), I1=d(3, d(M, P)), J1=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, H1))))), S))), N=d(d(2, 1), 1), S=d(I, N), T=d(I, d(d(2, d(1, K1)), P)), P=d(K, S), W=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), S)))), T)))), S)), A=d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W), H1=d(d(2, d(1, d(2, d(d(2, d(1, Y)), T)))), S), B=d(d(2, d(1, I1)), d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), S)))))), S))))), U), M1=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(R, T)))), S)))))), S))))), U), H=d(B1, 1), A1=d(B1, d(O, S)), K1=d(d(2, d(K, d(O, N))), N), N1=d(d(2, d(K, d(O, d(d(2, d(J, d(I, G))), d(K, d(L, d(d(2, d(1, Z)), O1))))))), N), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(I, B))))), S))), d(d(2, d(1, J1)), d(B, d(d(3, d(3, d(1, P1))), P1))))))), S)), N), U=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(B, d(F, Q1)), R1=d(B, d(F, S1)), D=d(B, Q1), T1=d(B, D1), F1=d(B, S1), P1=d(K1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), S))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(X, T)))), S)))))), S)))))), T)))), S))), N))))), U1=d(F, d(d(A, d(d(2, d(1, d(B, V1))), T1)), d(C1, d(B, d(F, V1))))), Q1=d(d(A, M1), M1), W1=d(d(A, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(K, d(O, d(d(2, d(J, d(I, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, V))))), W)))), S))))), d(K, d(L, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, G), V))))), W)))), S))))), O1))))))), N)))), S)))), T)))), S)))))), S))))), U)), d(d(2, d(K, d(O, d(d(2, d(J, d(I, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, A1)))), T)))), S)))))), S))))), U))), V))))), W)))), S)))), T)))), S)))))), S))))), U)))))), S))), L1)), N))))), d(K, d(L, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, H)))), T)))), S)))))), S))))), U))), V))))), W)))), S)))), T)))), S)))))), S))))), U)))))), S))), L1)), N))))), O1))))))), N)), C=d(d(A, d(d(2, d(1, d(B, U1))), d(B, W1))), d(d(2, d(1, d(B, d(F, W1)))), d(B, d(F, U1)))), V1=d(d(A, d(d(2, d(1, d(B, X1))), F1)), d(d(2, d(1, R1)), d(B, d(F, X1)))), X1=d(d(A, d(E1, T1)), d(C1, R1)), D1=d(d(A, d(d(2, d(K, d(O, d(G1, d(K, d(L, d(d(2, d(1, d(2, d(1, d(E1, d(Z, D)))))), O1))))))), N)), d(d(2, d(K, d(O, d(G1, d(K, d(L, d(d(2, d(1, d(2, d(1, d(E1, d(Z, E)))))), O1))))))), N)), S1=d(d(A, N1), N1)]).
mm_proof(orddi, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, Q)), R=d(2, d(1, B)), S=d(2, d(1, d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), U)))))), U))))), W))), X=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Y=d(2, d(1, d(B, Z))), A1=d(2, d(1, d(B, d(E, B1)))), C1=d(2, d(1, d(B, d(E, D1)))), E1=d(2, d(1, d(B, d(E, F1)))), G1=d(2, d(1, d(B, d(E, H1)))), I1=d(2, d(1, J1)), K1=d(2, d(1, L1)), M1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, U))))), d(1, N1)))), T=d(2, d(H, O1)), P1=d(3, d(T, L)), Q1=d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, O1))))), U))), Q=d(d(2, 1), 1), R1=d(F, 1), U=d(F, Q), V=d(F, S1), L=d(H, U), T1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), V)))), U)), N=d(d(2, d(1, d(2, d(1, d(P, U1))))), T1), A=d(d(2, d(1, d(2, d(1, d(Q1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T1), N1=d(d(2, d(1, d(2, Q))), U), O1=d(d(2, d(1, d(2, d(d(2, d(1, P)), V)))), U), B=d(d(2, d(1, P1)), d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V1=d(d(2, d(1, Q1)), d(B, d(d(3, d(3, d(1, W1))), W1))), X1=d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, U)))), V)))), U)))))), U))))), W), S1=d(d(2, d(1, Y1)), L), Y1=d(d(2, d(H, d(K, Q))), Q), Z1=d(d(2, d(H, d(K, d(d(2, d(G, d(F, d(1, d(X, 1))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(X, d(K, U)))))), A2))))))), Q), J=d(T, Q), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, B))))), U))), V1)))), U)), Q), W=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U1=d(B, B2), C2=d(B, d(E, Z)), D2=d(B, d(E, E2)), F2=d(B, d(E, G2)), J1=d(B, d(E, H2)), I2=d(B, J2), K2=d(B, d(d(A, d(d(2, d(1, d(B, L2))), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), d(B, d(E, L2))))), N2=d(B, E2), L1=d(B, G2), O2=d(B, B1), P2=d(B, D1), Q2=d(B, F1), R2=d(B, H1), S2=d(B, H2), W1=d(Y1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), U))), Q))), d(3, d(T, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(O, V)))), U)))))), U)))))), V)))), U))), Q))))), B2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(E, J2), T2=d(E, d(d(A, d(d(2, d(1, d(B, U2))), P2)), d(C1, d(B, d(E, U2))))), V2=d(E, d(d(A, d(d(2, d(1, d(B, W2))), R2)), d(G1, d(B, d(E, W2))))), L2=d(E, d(d(A, d(d(2, d(1, d(B, X2))), O2)), d(A1, d(B, d(E, X2))))), J2=d(d(A, X1), X1), Y2=d(d(A, d(Y, P2)), d(C1, C2)), Z2=d(d(A, d(Y, Q2)), d(E1, C2)), A3=d(d(A, d(Y, R2)), d(G1, C2)), B3=d(d(A, d(d(2, d(1, d(B, T2))), d(B, C3))), d(d(2, d(1, d(B, d(E, C3)))), d(B, d(E, T2)))), D3=d(d(A, d(d(2, d(1, d(B, V2))), d(B, E3))), d(d(2, d(1, d(B, d(E, E3)))), d(B, d(E, V2)))), U2=d(d(A, d(d(2, d(1, d(B, Y2))), I2)), d(Y, d(B, d(E, Y2)))), F3=d(d(A, d(d(2, d(1, d(B, Z2))), I2)), d(Y, d(B, d(E, Z2)))), W2=d(d(A, d(d(2, d(1, d(B, A3))), I2)), d(Y, d(B, d(E, A3)))), E3=d(d(A, d(d(2, d(1, d(B, B3))), A2)), d(X, d(B, d(E, B3)))), D=d(d(A, d(d(2, d(1, d(B, D3))), d(B, G3))), d(d(2, d(1, d(B, d(E, G3)))), d(B, d(E, D3)))), C=d(d(A, d(d(2, d(1, d(B, F3))), Q2)), d(E1, d(B, d(E, F3)))), M2=d(d(A, d(d(2, d(1, d(B, H3))), d(B, I3))), d(d(2, d(1, d(B, d(E, I3)))), d(B, d(E, H3)))), X2=d(d(A, d(d(2, d(1, d(B, J3))), L1)), d(d(2, d(1, F2)), d(B, d(E, J3)))), H3=d(d(A, d(d(2, d(1, d(B, K3))), N2)), d(d(2, d(1, D2)), d(B, d(E, K3)))), J3=d(d(A, d(K1, O2)), d(A1, F2)), G3=d(d(A, Z1), Z1), L3=d(d(A, J), S1), E2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(G, d(2, d(1, V1)))))))), U))), d(G, R))))), U)), Q)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(M1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), R1)))), U)))))), d(M1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V1))), R1)))), U))))), K3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(H, d(R, M3))))))), U))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(K1, M3))))), U)))), U)))))), U)), Q)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(H, d(R, Q))))))), U))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(K1, Q))))), U)))), U)))))), U)), Q)), G2=d(d(A, E), E), C3=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(2, d(1, d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, U1))))), T1)))), U)))), V)))), U)))))), U))))), W)))))))), U))), S)), Q)), d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, d(2, d(1, N)))))), V)))), U)))))), U))))), W)), B1=d(d(A, d(D2, d(d(A, d(d(2, d(1, d(B, N3))), S2)), d(I1, d(B, d(E, N3)))))), d(D2, d(d(A, d(d(2, d(1, d(B, O3))), S2)), d(I1, d(B, d(E, O3)))))), M3=d(D2, d(d(A, d(d(2, d(1, d(B, P3))), d(B, Q3))), d(d(2, d(1, d(B, d(E, Q3)))), d(B, d(E, P3))))), D1=d(K2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(K2, d(1, E3)), H1=d(K2, d(1, G3)), N3=d(N2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O3=d(N2, d(1, B2)), R3=d(N2, d(1, d(E, L3))), P3=d(N2, d(1, L3)), I3=d(N2, d(1, K3)), H2=d(N2, Q), Q3=d(N2, d(D2, d(d(A, d(d(2, d(1, S2)), d(B, R3))), d(d(2, d(1, d(B, d(E, R3)))), J1))))]).
mm_proof(anddi, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, R)))), R)))), R)))), S)))), R)))))), R))))), T))), U))))), V)))), W=d(2, d(1, d(2, A))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, U))))), V)))), R)))), X=d(2, d(1, M)), Y=d(2, d(1, Z)), A1=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), B1=d(2, d(1, d(B, d(E, C1)))), D1=d(2, d(1, d(B, d(E, E1)))), F1=d(2, d(1, G1)), H1=d(2, d(1, I1)), J1=d(2, d(I, d(H, d(1, d(Y, M))))), L=d(2, d(J, K1)), L1=d(3, d(L, O)), M1=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, K1))))), R))), M=d(d(2, 1), 1), R=d(H, M), S=d(H, d(d(2, d(1, N1)), O)), O=d(J, R), V=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), R)))), S)))), R)), A=d(d(2, d(1, d(2, d(1, d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V), K1=d(d(2, d(1, d(2, d(d(2, d(1, X)), S)))), R), B=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), S)))), R)))))), R))))), T), P1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(Q, S)))), R)))))), R))))), T), G=d(A1, 1), Z=d(A1, d(N, R)), N1=d(d(2, d(J, d(N, M))), M), Q1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, F))), d(J, d(K, d(d(2, d(1, Y)), R1))))))), M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(H, B))))), R))), d(d(2, d(1, M1)), d(B, d(d(3, d(3, d(1, S1))), S1))))))), R)), M), T=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T1=d(B, d(E, U1)), V1=d(B, d(E, W1)), G1=d(B, d(E, X1)), Y1=d(B, U1), Z1=d(B, W1), A2=d(B, C1), B2=d(B, E1), I1=d(B, X1), S1=d(N1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), R))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(W, S)))), R)))))), R)))))), S)))), R))), M))))), C2=d(E, d(d(A, d(d(2, d(1, d(B, D2))), A2)), d(B1, d(B, d(E, D2))))), U1=d(d(A, P1), P1), W1=d(d(A, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, U))))), V)))), R))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, F), U))))), V)))), R))))), R1))))))), M)))), R)))), S)))), R)))))), R))))), T)), d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, Z)))), S)))), R)))))), R))))), T))), U))))), V)))), R)))), S)))), R)))))), R))))), T)))))), R))), O1)), M))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, G)))), S)))), R)))))), R))))), T))), U))))), V)))), R)))), S)))), R)))))), R))))), T)))))), R))), O1)), M))))), R1))))))), M)), E2=d(d(A, d(d(2, d(1, d(B, C2))), Z1)), d(d(2, d(1, V1)), d(B, d(E, C2)))), D=d(d(A, d(d(2, d(1, d(B, E2))), Y1)), d(d(2, d(1, T1)), d(B, d(E, E2)))), C=d(d(A, d(d(2, d(1, d(B, F2))), B2)), d(D1, d(B, d(E, F2)))), D2=d(d(A, d(d(2, d(1, d(B, G2))), I1)), d(F1, d(B, d(E, G2)))), F2=d(d(A, d(d(2, d(1, d(B, H2))), I1)), d(F1, d(B, d(E, H2)))), G2=d(d(A, d(H1, A2)), d(B1, G1)), H2=d(d(A, d(H1, B2)), d(D1, G1)), C1=d(d(A, d(d(2, d(J, d(N, d(J1, d(J, d(K, d(d(2, d(1, d(2, d(1, d(H1, d(Y, Y1)))))), R1))))))), M)), d(d(2, d(J, d(N, d(J1, d(J, d(K, d(d(2, d(1, d(2, d(1, d(H1, d(Y, T1)))))), R1))))))), M)), E1=d(d(A, d(d(2, d(J, d(N, d(J1, d(J, d(K, d(d(2, d(1, d(2, d(1, d(H1, d(Y, Z1)))))), R1))))))), M)), d(d(2, d(J, d(N, d(J1, d(J, d(K, d(d(2, d(1, d(2, d(1, d(H1, d(Y, V1)))))), R1))))))), M)), X1=d(d(A, Q1), Q1)]).
mm_proof('pm5.17', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, A))), N=d(2, d(1, O)), P=d(2, d(1, B)), Q=d(2, d(1, R)), S=d(2, d(1, d(B, T))), U=d(2, d(1, V)), W=d(2, d(1, d(B, d(E, X)))), Y=d(2, d(1, Z)), A1=d(2, d(1, B1)), C1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, D1))))), d(1, E1)))), F1=d(2, d(H, G1)), H1=d(3, d(F1, L)), I1=d(3, d(F1, d(d(2, d(1, d(2, d(H, d(I, G1))))), D1))), O=d(d(2, 1), 1), J1=d(F, 1), D1=d(F, O), K1=d(F, L1), L=d(H, D1), M1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), K1)))), D1)), A=d(d(2, d(1, d(2, d(1, d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1), E1=d(d(2, d(1, d(2, O))), D1), G1=d(d(2, d(1, d(2, d(d(2, d(1, N)), K1)))), D1), B=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, I1)), O1), P1=d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, Q1))))), M1)))), D1)))), K1)))), D1)))))), D1))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, R1)), L), R1=d(d(2, d(H, d(K, O))), O), S1=d(d(2, d(H, d(K, d(d(2, d(G, d(F, d(1, d(Q, 1))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(Q, d(K, D1)))))), T1))))))), O), J=d(F1, O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, B))))), D1))), N1)))), D1)), O), U1=d(d(3, d(3, d(1, V1))), V1), T1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(B, U1), Q1=d(B, W1), R=d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(B, d(E, Y1)), V=d(B, d(E, Z1)), Z=d(B, d(E, A2)), B2=d(B, d(d(A, d(d(2, d(1, d(B, C2))), d(B, D2))), d(d(2, d(1, d(B, d(E, D2)))), d(B, d(E, C2))))), E2=d(B, Y1), F2=d(B, G2), B1=d(B, Z1), H2=d(B, X), I2=d(B, A2), V1=d(R1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1)))), D1))), O))), d(3, d(F1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(M, K1)))), D1)))))), D1)))))), K1)))), D1))), O))))), W1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(E, J2), C=d(E, d(d(A, d(d(2, d(1, d(B, K2))), B1)), d(U, d(B, d(E, K2))))), D=d(E, d(d(A, d(d(2, d(1, d(B, L2))), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), d(B, d(E, L2))))), C2=d(E, d(d(A, d(d(2, d(1, d(B, N2))), H2)), d(W, d(B, d(E, N2))))), O2=d(E, P2), J2=d(d(A, P1), P1), K2=d(d(A, d(d(2, d(1, Q1)), O1)), d(d(2, d(1, d(B, d(E, U1)))), d(B, d(E, W1)))), Q2=d(d(A, d(S, d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), d(B, d(E, T)))), L2=d(d(A, d(d(2, d(1, d(B, Q2))), d(B, J2))), d(S, d(B, d(E, Q2)))), D2=d(d(A, d(d(2, d(1, d(B, S2))), d(B, T2))), d(d(2, d(1, d(B, d(E, T2)))), d(B, d(E, S2)))), N2=d(d(A, d(d(2, d(1, d(B, U2))), B1)), d(U, d(B, d(E, U2)))), S2=d(d(A, d(d(2, d(1, F2)), E2)), d(d(2, d(1, X1)), d(B, d(E, G2)))), U2=d(d(A, d(A1, H2)), d(W, V)), V2=d(d(A, S1), S1), P2=d(d(A, J), L1), Y1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(G, d(2, d(1, N1)))))))), D1))), d(G, P))))), D1)), O)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(C1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), J1)))), D1)))))), d(C1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), J1)))), D1))))), G2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(H, d(P, W2))))))), D1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(A1, W2))))), D1)))), D1)))))), D1)), O)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(H, d(P, O))))))), D1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(A1, O))))), D1)))), D1)))))), D1)), O)), Z1=d(d(A, E), E), X=d(d(A, d(X1, d(d(A, d(d(2, d(1, d(B, X2))), I2)), d(Y, d(B, d(E, X2)))))), d(X1, d(d(A, d(d(2, d(1, d(B, Y2))), I2)), d(Y, d(B, d(E, Y2)))))), W2=d(X1, d(d(A, d(d(2, d(1, d(B, Z2))), d(B, A3))), d(d(2, d(1, d(B, d(E, A3)))), d(B, d(E, Z2))))), R2=d(B2, d(1, d(E, d(d(A, d(d(2, d(1, T1)), d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), R))))), M2=d(B2, d(1, d(d(A, d(d(2, d(1, d(B, B3))), d(B, P2))), d(d(2, d(1, d(B, O2))), d(B, d(E, B3)))))), X2=d(E2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y2=d(E2, d(1, W1)), C3=d(E2, d(1, O2)), Z2=d(E2, d(1, P2)), T2=d(E2, d(1, G2)), A2=d(E2, O), A3=d(E2, d(X1, d(d(A, d(d(2, d(1, I2)), d(B, C3))), d(d(2, d(1, d(B, d(E, C3)))), Z)))), B3=d(F2, W1)]).
mm_proof('pm5.15', d(d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(d(2, d(1, d(A, F))), d(A, d(B, D)))))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, C))), M=d(2, d(1, d(2, A))), N=d(2, d(1, A)), O=d(2, d(1, d(A, d(B, d(d(C, d(P, d(A, Q))), d(d(2, d(1, d(A, d(B, Q)))), d(A, d(B, R)))))))), S=d(2, d(1, T)), P=d(2, d(1, d(A, R))), U=d(2, d(1, d(A, V))), W=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, X))))), d(1, Y)))), Z=d(2, d(I, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(I, d(J, A1))))), X))), E1=d(d(2, 1), 1), F1=d(G, 1), X=d(G, E1), G1=d(G, H1), C1=d(I, X), C=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), G1)))), X))), Y=d(d(2, d(1, d(2, E1))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E1)))), G1)))), X), A=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, D1)), d(A, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(1, K1)), C1), K1=d(d(2, d(I, d(d(2, d(1, d(2, C1))), E1))), E1), K=d(Z, E1), L1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(M, X)))))), X))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, F1)))), X))), 1)))), X))))), X)), E1), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, A))))), X))), I1)))), X)), E1), M1=d(A, d(B, N1)), O1=d(A, d(B, P1)), Q1=d(A, d(B, V)), T=d(A, d(B, R1)), S1=d(A, d(B, T1)), U1=d(A, N1), V1=d(A, W1), X1=d(A, P1), Y1=d(A, R1), Z1=d(A, T1), J1=d(K1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), X))), E1))), d(3, d(Z, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, G1)))), X)))))), X)))))), G1)))), X))), E1))))), F=d(B, E), A2=d(B, W1), B2=d(B, d(d(C, d(M1, d(d(C, d(U, Y1)), d(S, Q1)))), d(M1, d(d(C, d(d(2, d(1, X1)), Y1)), d(S, O1))))), Q=d(d(C, d(d(2, d(1, d(A, B2))), V1)), d(d(2, d(1, d(A, A2))), d(A, d(B, B2)))), E=d(d(C, K), H1), N1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, I1)))))))), X))), d(H, N))))), X)), E1)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(W, d(G, d(d(2, d(1, d(2, d(M, F1)))), X)))))), d(W, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), X))))), W1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, C2))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(P, C2))))), X)))), X)))))), X)), E1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, E1))))))), X))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(P, E1))))), X)))), X)))))), X)), E1)), R=d(d(C, B), B), D2=d(M1, d(d(C, d(d(2, d(1, d(A, E2))), Z1)), d(d(2, d(1, S1)), d(A, d(B, E2))))), C2=d(M1, d(d(C, d(U, d(A, F2))), d(d(2, d(1, d(A, d(B, F2)))), Q1))), P1=d(U1, d(1, F)), E2=d(U1, d(1, A2)), V=d(U1, d(1, E)), R1=d(U1, E1), G2=d(U1, d(P, d(O, d(P, L1)))), H2=d(U1, d(P, d(O, d(P, D2)))), T1=d(U1, L1), I2=d(U1, D2), F2=d(U1, d(M1, d(d(C, d(d(2, d(1, Y1)), X1)), d(d(2, d(1, O1)), T)))), D=d(V1, d(B, d(K1, d(d(2, d(1, d(P, d(M1, d(d(C, d(d(2, d(1, Z1)), d(A, G2))), d(d(2, d(1, d(A, d(B, G2)))), S1)))))), d(3, d(Z, d(P, d(M1, d(d(C, d(d(2, d(1, d(A, I2))), d(A, H2))), d(d(2, d(1, d(A, d(B, H2)))), d(A, d(B, I2))))))))))))]).
mm_proof('pm5.16', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, E))), d(A, d(F, C))))), d(A, d(G, d(d(2, d(1, d(H, d(I, d(d(B, d(d(2, d(1, J)), d(A, K))), d(d(2, d(1, d(A, d(F, K)))), L)))))), d(3, d(M, d(H, d(I, d(d(B, d(d(2, d(1, d(A, N))), d(A, O))), d(d(2, d(1, d(A, d(F, O)))), d(A, d(F, N))))))))))))-[P=d(2, d(1, 1)), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, T)))), U=d(2, d(1, d(2, B))), V=d(2, d(1, d(2, A))), W=d(2, d(1, A)), X=d(2, d(1, d(A, d(F, d(d(B, d(H, d(A, Y))), d(d(2, d(1, d(A, d(F, Y)))), d(A, d(F, Z)))))))), A1=d(2, d(1, B1)), H=d(2, d(1, d(A, Z))), C1=d(2, d(1, d(A, D1))), E1=d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, F1))))), d(1, G1)))), M=d(2, d(R, H1)), I1=d(3, d(M, J1)), K1=d(3, d(M, d(d(2, d(1, d(2, d(R, d(S, H1))))), F1))), L1=d(d(2, 1), 1), M1=d(P, 1), F1=d(P, L1), N1=d(P, O1), J1=d(R, F1), B=d(d(2, d(1, d(2, d(1, d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), N1)))), F1))), G1=d(d(2, d(1, d(2, L1))), F1), H1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L1)))), N1)))), F1), A=d(d(2, d(1, I1)), d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(1, K1)), d(A, d(d(3, d(3, d(1, Q1))), Q1))), O1=d(d(2, d(1, G)), J1), G=d(d(2, d(R, d(d(2, d(1, d(2, J1))), L1))), L1), T=d(M, L1), R1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(P, d(V, F1)))))), F1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, M1)))), F1))), 1)))), F1))))), F1)), L1), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(P, A))))), F1))), P1)))), F1)), L1), I=d(A, d(F, S1)), T1=d(A, d(F, U1)), V1=d(A, d(F, D1)), B1=d(A, d(F, W1)), L=d(A, d(F, X1)), Y1=d(A, S1), Z1=d(A, A2), B2=d(A, U1), C2=d(A, W1), J=d(A, X1), Q1=d(G, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N1)))), F1))), L1))), d(3, d(M, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(U, N1)))), F1)))))), F1)))))), N1)))), F1))), L1))))), E=d(F, D), D2=d(F, A2), E2=d(F, d(d(B, d(I, d(d(B, d(C1, C2)), d(A1, V1)))), d(I, d(d(B, d(d(2, d(1, B2)), C2)), d(A1, T1))))), Y=d(d(B, d(d(2, d(1, d(A, E2))), Z1)), d(d(2, d(1, d(A, D2))), d(A, d(F, E2)))), D=d(d(B, T), O1), S1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(P, d(Q, d(2, d(1, P1)))))))), F1))), d(Q, W))))), F1)), L1)), d(d(2, d(Q, d(d(2, d(1, d(2, d(1, B)))), d(E1, d(P, d(d(2, d(1, d(2, d(V, M1)))), F1)))))), d(E1, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P1))), M1)))), F1))))), A2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(P, d(R, d(W, F2))))))), F1))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(H, F2))))), F1)))), F1)))))), F1)), L1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(P, d(R, d(W, L1))))))), F1))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(H, L1))))), F1)))), F1)))))), F1)), L1)), Z=d(d(B, F), F), G2=d(I, d(d(B, d(d(2, d(1, d(A, H2))), J)), d(d(2, d(1, L)), d(A, d(F, H2))))), F2=d(I, d(d(B, d(C1, d(A, I2))), d(d(2, d(1, d(A, d(F, I2)))), V1))), U1=d(Y1, d(1, E)), H2=d(Y1, d(1, D2)), D1=d(Y1, d(1, D)), W1=d(Y1, L1), K=d(Y1, d(H, d(X, d(H, R1)))), O=d(Y1, d(H, d(X, d(H, G2)))), X1=d(Y1, R1), N=d(Y1, G2), I2=d(Y1, d(I, d(d(B, d(d(2, d(1, C2)), B2)), d(d(2, d(1, T1)), B1)))), C=d(Z1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(xor, d(A, d(d(B, d(d(2, d(1, d(C, D))), E)), d(F, d(C, d(A, D)))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, N)), O=d(2, d(1, C)), P=d(2, d(1, d(C, Q))), F=d(2, d(1, d(C, R))), S=d(2, d(1, d(C, d(A, T)))), U=d(2, d(1, d(C, d(A, V)))), W=d(2, d(1, X)), Y=d(2, d(1, Z)), A1=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, B1))))), d(1, C1)))), D1=d(2, d(I, E1)), F1=d(3, d(D1, G1)), H1=d(3, d(D1, d(d(2, d(1, d(2, d(I, d(J, E1))))), B1))), N=d(d(2, 1), 1), I1=d(G, 1), B1=d(G, N), J1=d(G, K1), G1=d(I, B1), L1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), J1)))), B1)), B=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1), C1=d(d(2, d(1, d(2, N))), B1), E1=d(d(2, d(1, d(2, d(d(2, d(1, M)), J1)))), B1), C=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(1, H1)), N1), O1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, P1))))), L1)))), B1)))), J1)))), B1)))))), B1))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, Q1)), G1), Q1=d(d(2, d(I, d(d(2, d(1, d(2, G1))), N))), N), K=d(D1, N), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), B1))), M1)))), B1)), N), R1=d(d(3, d(3, d(1, S1))), S1), N1=d(C, R1), P1=d(C, T1), U1=d(C, d(A, V1)), W1=d(C, d(A, X1)), Y1=d(C, d(A, Z1)), X=d(C, d(A, A2)), E=d(C, B2), C2=d(C, V1), D2=d(C, E2), Z=d(C, X1), F2=d(C, T), G2=d(C, V), H2=d(C, Z1), I2=d(C, A2), S1=d(Q1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), B1))), N))), d(3, d(D1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, J1)))), B1)))))), B1)))))), J1)))), B1))), N))))), T1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(A, J2), K2=d(A, d(d(B, d(d(2, d(1, d(C, L2))), d(C, M2))), d(d(2, d(1, d(C, d(A, M2)))), d(C, d(A, L2))))), N2=d(A, d(d(B, d(d(2, d(1, d(C, O2))), F2)), d(S, d(C, d(A, O2))))), L2=d(A, d(d(B, d(d(2, d(1, d(C, P2))), E)), d(F, d(C, d(A, P2))))), R=d(A, B2), M2=d(A, d(D2, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), J2=d(d(B, O1), O1), Q2=d(d(B, d(d(2, d(1, P1)), N1)), d(d(2, d(1, d(C, d(A, R1)))), d(C, d(A, T1)))), R2=d(d(B, d(P, G2)), d(U, d(C, d(A, Q)))), S2=d(d(B, d(d(2, d(1, d(C, K2))), d(C, T2))), d(d(2, d(1, d(C, d(A, T2)))), d(C, d(A, K2)))), U2=d(d(B, d(d(2, d(1, d(C, R2))), d(C, J2))), d(P, d(C, d(A, R2)))), T2=d(d(B, d(d(2, d(1, d(C, U2))), G2)), d(U, d(C, d(A, U2)))), V2=d(d(B, d(d(2, d(1, d(C, W2))), d(C, X2))), d(d(2, d(1, d(C, d(A, X2)))), d(C, d(A, W2)))), O2=d(d(B, d(d(2, d(1, d(C, Y2))), Z)), d(d(2, d(1, W1)), d(C, d(A, Y2)))), Z2=d(d(B, d(d(2, d(1, d(C, A3))), H2)), d(d(2, d(1, Y1)), d(C, d(A, A3)))), W2=d(d(B, d(d(2, d(1, D2)), C2)), d(d(2, d(1, U1)), d(C, d(A, E2)))), Y2=d(d(B, d(Y, F2)), d(S, W1)), A3=d(d(B, d(d(2, d(1, d(C, B3))), E)), d(F, d(C, d(A, B3)))), B2=d(d(B, K), K1), V1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, M1)))))))), B1))), d(H, O))))), B1)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(A1, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), I1)))), B1)))))), d(A1, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), I1)))), B1))))), E2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, C3))))))), B1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(Y, C3))))), B1)))), B1)))))), B1)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), B1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(Y, N))))), B1)))), B1)))))), B1)), N)), X1=d(d(B, A), A), T=d(d(B, d(U1, d(d(B, d(d(2, d(1, d(C, D3))), I2)), d(W, d(C, d(A, D3)))))), d(U1, d(d(B, d(d(2, d(1, d(C, E3))), I2)), d(W, d(C, d(A, E3)))))), C3=d(U1, d(d(B, d(d(2, d(1, H2)), d(C, F3))), d(d(2, d(1, d(C, d(A, F3)))), Y1))), V=d(d(C, d(d(B, d(d(2, d(1, d(C, N2))), d(C, V2))), d(d(2, d(1, d(C, d(A, V2)))), d(C, d(A, N2))))), d(1, Z2)), D3=d(C2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E3=d(C2, d(1, T1)), G3=d(C2, d(1, R)), Z1=d(C2, d(1, B2)), X2=d(C2, d(1, E2)), A2=d(C2, N), F3=d(C2, d(U1, d(d(B, d(d(2, d(1, I2)), d(C, G3))), d(d(2, d(1, d(C, d(A, G3)))), X)))), B3=d(D2, T1), D=d(D2, d(A, d(d(B, d(d(2, d(1, d(C, S2))), d(C, Q2))), d(d(2, d(1, d(C, d(A, Q2)))), d(C, d(A, S2)))))), P2=d(D2, d(A, Z2))]).
mm_proof(nbi2, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, A))), N=d(2, d(1, d(2, B))), O=d(2, d(1, P)), Q=d(2, d(1, B)), R=d(2, d(1, S)), T=d(2, d(1, d(B, U))), V=d(2, d(1, d(B, d(E, d(d(A, d(W, d(B, X))), d(d(2, d(1, d(B, d(E, X)))), Y)))))), Z=d(2, d(1, d(B, A1))), B1=d(2, d(1, Y)), C1=d(2, d(1, d(B, d(E, D1)))), E1=d(2, d(1, F1)), W=d(2, d(1, G1)), H1=d(2, d(1, d(B, I1))), J1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, K1))))), d(1, L1)))), M1=d(2, d(H, N1)), O1=d(3, d(M1, L)), P1=d(3, d(M1, d(d(2, d(1, d(2, d(H, d(I, N1))))), K1))), P=d(d(2, 1), 1), Q1=d(F, 1), K1=d(F, P), R1=d(F, S1), L=d(H, K1), T1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), R1)))), K1)), A=d(d(2, d(1, d(2, d(1, d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T1), L1=d(d(2, d(1, d(2, P))), K1), N1=d(d(2, d(1, d(2, d(d(2, d(1, O)), R1)))), K1), B=d(d(2, d(1, O1)), d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U1=d(d(2, d(1, P1)), V1), W1=d(d(2, d(1, d(3, d(M1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, X1))))), T1)))), K1)))), R1)))), K1)))))), K1))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(d(2, d(1, Y1)), L), Y1=d(d(2, d(H, d(K, P))), P), Z1=d(d(2, d(H, d(K, d(d(2, d(G, d(F, d(1, d(R, 1))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(R, d(K, K1)))))), A2))))))), P), J=d(M1, P), B2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(N, K1)))))), K1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, Q1)))), K1))), 1)))), K1))))), K1)), P), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, B))))), K1))), U1)))), K1)), P), C2=d(d(3, d(3, d(1, D2))), D2), A2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V1=d(B, C2), X1=d(B, E2), S=d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F2=d(B, d(E, G2)), H2=d(B, I2), Y=d(B, d(E, J2)), K2=d(B, d(E, L2)), M2=d(B, d(E, I1)), F1=d(B, d(E, N2)), O2=d(B, d(E, P2)), Q2=d(B, d(d(A, d(d(2, d(1, d(B, R2))), d(B, S2))), d(d(2, d(1, d(B, d(E, S2)))), d(B, d(E, R2))))), T2=d(B, U2), V2=d(B, G2), W2=d(B, X2), G1=d(B, J2), Y2=d(B, D1), Z2=d(B, L2), A3=d(B, N2), B3=d(B, P2), D2=d(Y1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R1)))), K1))), P))), d(3, d(M1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(M, R1)))), K1)))))), K1)))))), R1)))), K1))), P))))), E2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(E, C3), C=d(E, d(d(A, d(d(2, d(1, d(B, D3))), d(B, E3))), d(d(2, d(1, d(B, d(E, E3)))), d(B, d(E, D3))))), D3=d(E, d(d(A, d(d(2, d(1, d(B, F3))), G1)), d(B1, d(B, d(E, F3))))), E3=d(E, d(d(A, d(d(2, d(1, d(B, G3))), d(B, H3))), d(d(2, d(1, d(B, d(E, H3)))), d(B, d(E, G3))))), R2=d(E, d(d(A, d(d(2, d(1, d(B, I3))), Y2)), d(C1, d(B, d(E, I3))))), D=d(E, d(d(A, d(d(2, d(1, d(B, J3))), T2)), d(Z, d(B, d(E, J3))))), A1=d(E, U2), I2=d(E, X2), K3=d(E, d(d(A, d(F2, d(d(A, d(H1, A3)), d(E1, M2)))), d(F2, d(d(A, d(d(2, d(1, Z2)), A3)), d(E1, K2))))), C3=d(d(A, W1), W1), F3=d(d(A, d(d(2, d(1, X1)), V1)), d(d(2, d(1, d(B, d(E, C2)))), d(B, d(E, E2)))), L3=d(d(A, d(T, d(B, M3))), d(d(2, d(1, d(B, d(E, M3)))), d(B, d(E, U)))), X=d(d(A, d(d(2, d(1, d(B, K3))), W2)), d(d(2, d(1, H2)), d(B, d(E, K3)))), G3=d(d(A, d(d(2, d(1, d(B, L3))), d(B, C3))), d(T, d(B, d(E, L3)))), S2=d(d(A, d(d(2, d(1, d(B, N3))), d(B, O3))), d(d(2, d(1, d(B, d(E, O3)))), d(B, d(E, N3)))), I3=d(d(A, d(d(2, d(1, d(B, P3))), G1)), d(B1, d(B, d(E, P3)))), N3=d(d(A, d(d(2, d(1, W2)), V2)), d(d(2, d(1, F2)), H2)), P3=d(d(A, d(W, Y2)), d(C1, Y)), Q3=d(d(A, Z1), Z1), U2=d(d(A, J), S1), G2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(G, d(2, d(1, U1)))))))), K1))), d(G, Q))))), K1)), P)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(J1, d(F, d(d(2, d(1, d(2, d(N, Q1)))), K1)))))), d(J1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), Q1)))), K1))))), X2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(H, d(Q, R3))))))), K1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(W, R3))))), K1)))), K1)))))), K1)), P)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(H, d(Q, P))))))), K1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(W, P))))), K1)))), K1)))))), K1)), P)), J2=d(d(A, E), E), D1=d(d(A, d(F2, d(d(A, d(d(2, d(1, d(B, S3))), A3)), d(E1, d(B, d(E, S3)))))), d(F2, d(d(A, d(d(2, d(1, d(B, T3))), A3)), d(E1, d(B, d(E, T3)))))), U3=d(F2, d(d(A, d(d(2, d(1, d(B, V3))), B3)), d(d(2, d(1, O2)), d(B, d(E, V3))))), R3=d(F2, d(d(A, d(H1, d(B, W3))), d(d(2, d(1, d(B, d(E, W3)))), M2))), M3=d(Q2, d(1, d(E, d(d(A, d(d(2, d(1, A2)), d(B, Q3))), d(d(2, d(1, d(B, d(E, Q3)))), S))))), H3=d(Q2, d(1, d(d(A, d(d(2, d(1, d(B, X3))), T2)), d(Z, d(B, d(E, X3)))))), S3=d(V2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T3=d(V2, d(1, E2)), L2=d(V2, d(1, A1)), V3=d(V2, d(1, I2)), I1=d(V2, d(1, U2)), O3=d(V2, d(1, X2)), N2=d(V2, P), Y3=d(V2, d(W, d(V, d(W, B2)))), Z3=d(V2, d(W, d(V, d(W, U3)))), P2=d(V2, B2), A4=d(V2, U3), W3=d(V2, d(F2, d(d(A, d(d(2, d(1, A3)), Z2)), d(d(2, d(1, K2)), F1)))), X3=d(W2, E2), J3=d(W2, d(E, d(Y1, d(d(2, d(1, d(W, d(F2, d(d(A, d(d(2, d(1, B3)), d(B, Y3))), d(d(2, d(1, d(B, d(E, Y3)))), O2)))))), d(3, d(M1, d(W, d(F2, d(d(A, d(d(2, d(1, d(B, A4))), d(B, Z3))), d(d(2, d(1, d(B, d(E, Z3)))), d(B, d(E, A4))))))))))))]).
mm_proof(xordi, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, B)), M=d(2, d(1, d(B, N))), O=d(2, d(1, d(B, d(E, P)))), Q=d(2, d(1, R)), S=d(2, d(1, T)), U=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, V))))), d(1, W)))), X=d(2, d(H, Y)), Z=d(3, d(X, A1)), B1=d(3, d(X, d(d(2, d(1, d(2, d(H, d(I, Y))))), V))), C1=d(d(2, 1), 1), D1=d(F, 1), V=d(F, C1), E1=d(F, F1), A1=d(H, V), A=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), E1)))), V))), W=d(d(2, d(1, d(2, C1))), V), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C1)))), E1)))), V), B=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(1, B1)), d(B, d(d(3, d(3, d(1, H1))), H1))), F1=d(d(2, d(1, I1)), A1), I1=d(d(2, d(H, d(d(2, d(1, d(2, A1))), C1))), C1), J=d(X, C1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), V))), G1)))), V)), C1), J1=d(B, d(E, K1)), L1=d(B, d(E, M1)), N1=d(B, d(E, O1)), R=d(B, d(E, P1)), Q1=d(B, R1), S1=d(B, K1), T1=d(B, U1), T=d(B, M1), V1=d(B, P), W1=d(B, O1), X1=d(B, P1), H1=d(I1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), V))), C1))), d(3, d(X, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, E1)))), V)))))), V)))))), E1)))), V))), C1))))), Y1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z1=d(E, d(d(A, d(d(2, d(1, d(B, A2))), V1)), d(O, d(B, d(E, A2))))), N=d(E, R1), B2=d(d(A, d(d(2, d(1, d(B, C2))), d(B, D2))), d(d(2, d(1, d(B, d(E, D2)))), d(B, d(E, C2)))), A2=d(d(A, d(d(2, d(1, d(B, E2))), T)), d(d(2, d(1, L1)), d(B, d(E, E2)))), C2=d(d(A, d(d(2, d(1, T1)), S1)), d(d(2, d(1, J1)), d(B, d(E, U1)))), E2=d(d(A, d(S, V1)), d(O, L1)), F2=d(d(A, d(d(2, d(1, d(B, G2))), Q1)), d(M, d(B, d(E, G2)))), D=d(d(A, d(d(2, d(1, d(B, H2))), Q1)), d(M, d(B, d(E, H2)))), R1=d(d(A, J), F1), K1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, G1)))))))), V))), d(G, L))))), V)), C1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(U, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), D1)))), V)))))), d(U, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), D1)))), V))))), U1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, I2))))))), V))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(S, I2))))), V)))), V)))))), V)), C1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, C1))))))), V))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(S, C1))))), V)))), V)))))), V)), C1)), M1=d(d(A, E), E), P=d(d(A, d(J1, d(d(A, d(d(2, d(1, d(B, J2))), X1)), d(Q, d(B, d(E, J2)))))), d(J1, d(d(A, d(d(2, d(1, d(B, K2))), X1)), d(Q, d(B, d(E, K2)))))), I2=d(J1, d(d(A, d(d(2, d(1, W1)), d(B, L2))), d(d(2, d(1, d(B, d(E, L2)))), N1))), J2=d(S1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K2=d(S1, d(1, Y1)), M2=d(S1, d(1, N)), O1=d(S1, d(1, R1)), D2=d(S1, d(1, U1)), P1=d(S1, C1), L2=d(S1, d(J1, d(d(A, d(d(2, d(1, X1)), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), R)))), G2=d(T1, Y1), H2=d(T1, d(E, d(d(A, d(d(2, d(1, d(B, F2))), W1)), d(d(2, d(1, N1)), d(B, d(E, F2)))))), C=d(T1, d(d(A, d(d(2, d(1, d(B, Z1))), d(B, B2))), d(d(2, d(1, d(B, d(E, B2)))), d(B, d(E, Z1)))))]).
mm_proof('pm5.54', d(d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(E, d(F, G))))))), H))), d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(I, G))))), H)))), H)))))), H)), J))-[D=d(2, d(1, 1)), E=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, J))))), C=d(2, d(1, d(2, M))), N=d(2, d(1, J)), F=d(2, d(1, A)), I=d(2, d(1, d(A, d(d(M, B), B)))), L=d(2, d(E, O)), P=d(3, d(L, Q)), R=d(3, d(L, d(d(2, d(1, d(2, d(E, d(K, O))))), H))), J=d(d(2, 1), 1), H=d(D, J), S=d(D, d(d(2, d(1, T)), Q)), Q=d(E, H), U=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), H)))), S)))), H)), M=d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U), O=d(d(2, d(1, d(2, d(d(2, d(1, N)), S)))), H), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(I, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(E, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), S)))), H)))))), H))))), W))))))), H))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, X))))), U)))), H))))), H)), J)), T=d(d(2, d(E, d(d(2, d(1, d(2, Q))), J))), J), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, A))))), H))), d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, Y))), Y))))))), H)), J), G=d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, 1))))), H))), 1)))), H)))), d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, V))))), S)))), H))), J)))))), H))), d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(E, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(E, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, V)))), S)))), H)))))), H))))), W))), X))))), U)))), H)))), S)))), H)))))), H))))), W)))))), S)))), H))), J))), J), W=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(T, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), H))), J))), d(3, d(L, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(E, d(K, d(d(2, d(1, d(2, d(C, S)))), H)))))), H)))))), S)))), H))), J)))))]).
mm_proof('pm5.62', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L)), M=d(2, d(1, 1)), N=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, A))), U=d(2, d(1, V)), W=d(2, d(1, B)), X=d(2, F), Y=d(2, d(1, Z)), A1=d(2, d(1, d(B, B1))), C1=d(2, d(1, d(B, d(E, D1)))), E1=d(2, d(1, d(B, d(E, F1)))), G1=d(2, d(1, d(B, d(E, H1)))), I1=d(2, d(1, J1)), K1=d(2, d(1, L1)), M1=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, N1)))), G=d(2, d(H, O1)), P1=d(3, d(G, Q)), Q1=d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, O1))))), J))), V=d(d(2, 1), 1), R1=d(M, 1), J=d(M, V), K=d(M, S1), Q=d(H, J), T1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), K)))), J)), S=d(d(2, d(1, d(2, d(1, d(U, U1))))), T1), A=d(d(2, d(1, d(2, d(1, d(Q1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T1), N1=d(d(2, d(1, d(2, V))), J), O1=d(d(2, d(1, d(2, d(d(2, d(1, U)), K)))), J), V1=d(R, J), B=d(d(2, d(1, P1)), d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W1=d(d(2, d(1, Q1)), d(B, d(d(3, d(3, d(1, X1))), X1))), Y1=d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V1))), K)))), J)))))), J))))), L), S1=d(d(2, d(1, Z1)), Q), Z1=d(d(2, d(H, d(P, V))), V), A2=d(d(2, d(H, d(P, d(d(2, d(N, d(M, d(1, d(Y, 1))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(Y, d(P, J)))))), B2))))))), V), O=d(G, V), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, B))))), J))), W1)))), J)), V), L=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U1=d(B, C2), Z=d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D2=d(B, d(E, B1)), E2=d(B, d(E, F2)), G2=d(B, d(E, H2)), J1=d(B, d(E, I2)), J2=d(B, K2), L2=d(B, d(d(A, d(d(2, d(1, d(B, M2))), d(B, N2))), d(d(2, d(1, d(B, d(E, N2)))), d(B, d(E, M2))))), O2=d(B, F2), L1=d(B, H2), P2=d(B, D1), Q2=d(B, F1), R2=d(B, H1), S2=d(B, I2), X1=d(Z1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), V))), d(3, d(G, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(T, K)))), J)))))), J)))))), K)))), J))), V))))), T2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, F))))), J))), V1)))), J)), V), d(Z, V)), C2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(E, K2), C=d(E, d(d(A, d(A1, d(B, T2))), d(d(2, d(1, d(B, d(E, T2)))), D2))), U2=d(E, d(d(A, d(d(2, d(1, d(B, V2))), Q2)), d(E1, d(B, d(E, V2))))), W2=d(E, d(d(A, d(d(2, d(1, d(B, X2))), R2)), d(G1, d(B, d(E, X2))))), M2=d(E, d(d(A, d(d(2, d(1, d(B, Y2))), P2)), d(C1, d(B, d(E, Y2))))), K2=d(d(A, Y1), Y1), D=d(d(A, d(A1, d(B, Z2))), d(d(2, d(1, d(B, d(E, Z2)))), D2)), A3=d(d(A, d(A1, Q2)), d(E1, D2)), B3=d(d(A, d(A1, R2)), d(G1, D2)), C3=d(d(A, d(d(2, d(1, d(B, U2))), d(B, D3))), d(d(2, d(1, d(B, d(E, D3)))), d(B, d(E, U2)))), E3=d(d(A, d(d(2, d(1, d(B, W2))), d(B, F3))), d(d(2, d(1, d(B, d(E, F3)))), d(B, d(E, W2)))), V2=d(d(A, d(d(2, d(1, d(B, A3))), J2)), d(A1, d(B, d(E, A3)))), X2=d(d(A, d(d(2, d(1, d(B, B3))), J2)), d(A1, d(B, d(E, B3)))), F3=d(d(A, d(d(2, d(1, d(B, C3))), B2)), d(Y, d(B, d(E, C3)))), Z2=d(d(A, d(d(2, d(1, d(B, E3))), d(B, G3))), d(d(2, d(1, d(B, d(E, G3)))), d(B, d(E, E3)))), N2=d(d(A, d(d(2, d(1, d(B, H3))), d(B, I3))), d(d(2, d(1, d(B, d(E, I3)))), d(B, d(E, H3)))), Y2=d(d(A, d(d(2, d(1, d(B, J3))), L1)), d(d(2, d(1, G2)), d(B, d(E, J3)))), H3=d(d(A, d(d(2, d(1, d(B, K3))), O2)), d(d(2, d(1, E2)), d(B, d(E, K3)))), J3=d(d(A, d(K1, P2)), d(C1, G2)), G3=d(d(A, A2), A2), L3=d(d(A, O), S1), F2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, d(N, d(2, d(1, W1)))))))), J))), d(N, W))))), J)), V)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, A)))), d(M1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), R1)))), J)))))), d(M1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W1))), R1)))), J))))), K3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, d(H, d(W, M3))))))), J))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(K1, M3))))), J)))), J)))))), J)), V)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, d(H, d(W, V))))))), J))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(K1, V))))), J)))), J)))))), J)), V)), H2=d(d(A, E), E), D3=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(2, d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, U1))))), T1)))), J)))), K)))), J)))))), J))))), L)))))))), J))), X)), V)), d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(2, d(1, S)))))), K)))), J)))))), J))))), L)), D1=d(d(A, d(E2, d(d(A, d(d(2, d(1, d(B, N3))), S2)), d(I1, d(B, d(E, N3)))))), d(E2, d(d(A, d(d(2, d(1, d(B, O3))), S2)), d(I1, d(B, d(E, O3)))))), M3=d(E2, d(d(A, d(d(2, d(1, d(B, P3))), d(B, Q3))), d(d(2, d(1, d(B, d(E, Q3)))), d(B, d(E, P3))))), F1=d(L2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(L2, d(1, G3)), N3=d(O2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O3=d(O2, d(1, C2)), R3=d(O2, d(1, d(E, L3))), P3=d(O2, d(1, L3)), I3=d(O2, d(1, K3)), I2=d(O2, V), Q3=d(O2, d(E2, d(d(A, d(d(2, d(1, S2)), d(B, R3))), d(d(2, d(1, d(B, d(E, R3)))), J1))))]).
mm_proof('pm5.63', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L)), M=d(2, d(1, 1)), N=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, B))), S=d(2, d(1, T)), U=d(2, d(1, C)), V=d(2, F), W=d(2, d(1, d(C, X))), Y=d(2, d(1, d(C, d(A, Z)))), A1=d(2, d(1, d(C, d(A, B1)))), C1=d(2, d(1, D1)), E1=d(2, d(1, F1)), G1=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, H1)))), G=d(2, d(H, I1)), J1=d(3, d(G, K1)), L1=d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, I1))))), J))), T=d(d(2, 1), 1), M1=d(M, 1), J=d(M, T), K=d(M, N1), K1=d(H, J), O1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), K)))), J)), Q=d(d(2, d(1, d(2, d(1, d(S, P1))))), O1), B=d(d(2, d(1, d(2, d(1, d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O1), H1=d(d(2, d(1, d(2, T))), J), I1=d(d(2, d(1, d(2, d(d(2, d(1, S)), K)))), J), Q1=d(P, J), C=d(d(2, d(1, J1)), d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R1=d(d(2, d(1, L1)), d(C, d(d(3, d(3, d(1, S1))), S1))), T1=d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q1))), K)))), J)))))), J))))), L), N1=d(d(2, d(1, U1)), K1), U1=d(d(2, d(H, d(d(2, d(1, d(2, K1))), T))), T), O=d(G, T), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, C))))), J))), R1)))), J)), T), L=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P1=d(C, V1), W1=d(C, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(C, d(A, X)), Y1=d(C, d(A, Z1)), A2=d(C, d(A, B2)), D1=d(C, d(A, C2)), D2=d(C, Z1), F1=d(C, B2), E2=d(C, Z), F2=d(C, B1), G2=d(C, C2), S1=d(U1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), T))), d(3, d(G, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(R, K)))), J)))))), J)))))), K)))), J))), T))))), H2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, F))))), J))), Q1)))), J)), T), d(W1, T)), V1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(A, I2), D=d(A, d(d(B, d(W, d(C, H2))), d(d(2, d(1, d(C, d(A, H2)))), X1))), J2=d(A, d(d(B, d(d(2, d(1, d(C, K2))), F2)), d(A1, d(C, d(A, K2))))), L2=d(A, d(d(B, d(d(2, d(1, d(C, M2))), E2)), d(Y, d(C, d(A, M2))))), I2=d(d(B, T1), T1), N2=d(d(B, d(W, F2)), d(A1, X1)), O2=d(d(B, d(d(2, d(1, d(C, J2))), d(C, P2))), d(d(2, d(1, d(C, d(A, P2)))), d(C, d(A, J2)))), K2=d(d(B, d(d(2, d(1, d(C, N2))), d(C, I2))), d(W, d(C, d(A, N2)))), E=d(d(B, d(d(2, d(1, d(C, O2))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, W1)), d(C, d(A, O2)))), Q2=d(d(B, d(d(2, d(1, d(C, R2))), d(C, S2))), d(d(2, d(1, d(C, d(A, S2)))), d(C, d(A, R2)))), M2=d(d(B, d(d(2, d(1, d(C, T2))), F1)), d(d(2, d(1, A2)), d(C, d(A, T2)))), R2=d(d(B, d(d(2, d(1, d(C, U2))), D2)), d(d(2, d(1, Y1)), d(C, d(A, U2)))), T2=d(d(B, d(E1, E2)), d(Y, A2)), V2=d(d(B, O), N1), Z1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(N, d(2, d(1, R1)))))))), J))), d(N, U))))), J)), T)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, B)))), d(G1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), M1)))), J)))))), d(G1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R1))), M1)))), J))))), U2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(H, d(U, W2))))))), J))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(E1, W2))))), J)))), J)))))), J)), T)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(H, d(U, T))))))), J))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(E1, T))))), J)))), J)))))), J)), T)), B2=d(d(B, A), A), P2=d(d(B, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(2, d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, P1))))), O1)))), J)))), K)))), J)))))), J))))), L)))))))), J))), V)), T)), d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(2, d(1, Q)))))), K)))), J)))))), J))))), L)), Z=d(d(B, d(Y1, d(d(B, d(d(2, d(1, d(C, X2))), G2)), d(C1, d(C, d(A, X2)))))), d(Y1, d(d(B, d(d(2, d(1, d(C, Y2))), G2)), d(C1, d(C, d(A, Y2)))))), W2=d(Y1, d(d(B, d(d(2, d(1, d(C, Z2))), d(C, A3))), d(d(2, d(1, d(C, d(A, A3)))), d(C, d(A, Z2))))), B1=d(d(C, d(d(B, d(d(2, d(1, d(C, L2))), d(C, Q2))), d(d(2, d(1, d(C, d(A, Q2)))), d(C, d(A, L2))))), d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X2=d(D2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y2=d(D2, d(1, V1)), B3=d(D2, d(1, d(A, V2))), Z2=d(D2, d(1, V2)), S2=d(D2, d(1, U2)), C2=d(D2, T), A3=d(D2, d(Y1, d(d(B, d(d(2, d(1, G2)), d(C, B3))), d(d(2, d(1, d(C, d(A, B3)))), D1))))]).
mm_proof(niabn, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), C), d(D, d(E, d(F, G)))))))), H)))), d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(I, d(d(J, K), K))))), G)))))), H))))), H))))))), H))), L)-[M=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), C=d(2, d(1, d(2, J))), P=d(2, d(N, Q)), R=d(3, d(P, S)), T=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, Q))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), M), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, I))), U=d(d(d(2, d(1, 2)), 1), P), L=d(d(2, 1), 1), H=d(M, L), V=d(M, d(d(2, d(1, W)), S)), S=d(N, H), X=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), V)))), H)), J=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), V)))), H), I=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(N, d(d(2, d(1, d(2, S))), L))), L), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(M, I))))), H))), d(d(2, d(1, T)), d(I, d(d(3, d(3, d(1, Y))), Y))))))), H)), L), G=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(M, 1))))), H))), 1)))), H))))), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(U, d(d(d(d(2, d(1, 2)), 1), 3), d(U, 1)))))))), V))))), H)))), L))))))), H)))), d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), V)))), H)))))), H))))), Z))), d(I, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), X)))), H)))), V)))), H)))))), H))))), Z)))))), V)))), H))), L)))), L), Z=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), H))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(C, V)))), H)))))), H)))))), V)))), H))), L)))))]).
mm_proof(ninba, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(2, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), D), d(E, d(F, d(G, H)))))))), I)))), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(G, d(A, H)))))), I))))), I))))))), I))), J))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), D=d(2, d(1, d(2, O))), N=d(2, d(L, P)), Q=d(3, d(N, R)), S=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, P))))), I))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), K), F=d(d(d(2, d(1, 2)), 1), L), G=d(d(d(2, d(1, 2)), 1), d(2, d(1, T))), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(T, d(d(O, U), U))))), V=d(d(d(2, d(1, 2)), 1), N), J=d(d(2, 1), 1), I=d(K, J), W=d(K, d(d(2, d(1, X)), R)), R=d(L, I), Y=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), W)))), I)), O=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), W)))), I), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(L, d(d(2, d(1, d(2, R))), J))), J), U=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(K, T))))), I))), d(d(2, d(1, S)), d(T, d(d(3, d(3, d(1, Z))), Z))))))), I)), J), H=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(K, 1))))), I))), 1)))), I))))), d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(V, d(d(d(d(2, d(1, 2)), 1), 3), d(V, 1)))))))), W))))), I)))), J))))))), I)))), d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), W)))), I)))))), I))))), A1))), d(T, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Y)))), I)))), W)))), I)))))), I))))), A1)))))), W)))), I))), J)))), J), A1=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(X, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), I))), J))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(D, W)))), I)))))), I)))))), W)))), I))), J)))))]).
mm_proof('pm4.43', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, Q)), R=d(2, d(1, B)), S=d(2, d(1, d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), U)))))), U))))), W))), X=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Y=d(2, d(1, d(B, Z))), A1=d(2, d(1, d(B, d(E, B1)))), C1=d(2, d(1, d(B, d(E, D1)))), E1=d(2, d(1, F1)), G1=d(2, d(1, H1)), I1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, U))))), d(1, J1)))), T=d(2, d(H, K1)), L1=d(3, d(T, L)), M1=d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, K1))))), U))), Q=d(d(2, 1), 1), N1=d(F, 1), U=d(F, Q), V=d(F, O1), L=d(H, U), P1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), V)))), U)), N=d(d(2, d(1, d(2, d(1, d(P, Q1))))), P1), A=d(d(2, d(1, d(2, d(1, d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P1), J1=d(d(2, d(1, d(2, Q))), U), K1=d(d(2, d(1, d(2, d(d(2, d(1, P)), V)))), U), B=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R1=d(d(2, d(1, M1)), d(B, d(d(3, d(3, d(1, S1))), S1))), T1=d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, U)))), V)))), U)))))), U))))), W), O1=d(d(2, d(1, U1)), L), U1=d(d(2, d(H, d(K, Q))), Q), J=d(T, Q), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, B))))), U))), R1)))), U)), Q), W=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(B, W1), X1=d(B, d(E, Y1)), Z1=d(B, d(E, A2)), B2=d(B, d(E, C2)), F1=d(B, d(E, D2)), E2=d(B, Y1), F2=d(B, G2), H1=d(B, A2), H2=d(B, B1), I2=d(B, D1), J2=d(B, C2), K2=d(B, D2), S1=d(U1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), U))), Q))), d(3, d(T, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(O, V)))), U)))))), U)))))), V)))), U))), Q))))), W1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(E, L2), M2=d(E, d(d(A, d(d(2, d(1, d(B, N2))), I2)), d(C1, d(B, d(E, N2))))), O2=d(E, d(d(A, d(d(2, d(1, d(B, P2))), H2)), d(A1, d(B, d(E, P2))))), Q2=d(E, R2), L2=d(d(A, T1), T1), D=d(d(A, d(X, d(K, U))), d(d(2, d(H, d(I, V1))), d(1, d(d(B, d(d(A, d(d(2, d(1, d(B, S2))), J2)), d(d(2, d(1, B2)), d(B, d(E, S2))))), Q)))), T2=d(d(A, d(Y, I2)), d(C1, d(B, d(E, Z)))), U2=d(d(A, d(d(2, d(1, d(B, M2))), d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), d(B, d(E, M2)))), N2=d(d(A, d(d(2, d(1, d(B, T2))), d(B, L2))), d(Y, d(B, d(E, T2)))), C=d(d(A, d(d(2, d(1, d(B, U2))), V1)), d(X, d(B, d(E, U2)))), W2=d(d(A, d(d(2, d(1, d(B, X2))), d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), d(B, d(E, X2)))), P2=d(d(A, d(d(2, d(1, d(B, Z2))), H1)), d(d(2, d(1, Z1)), d(B, d(E, Z2)))), X2=d(d(A, d(d(2, d(1, F2)), E2)), d(d(2, d(1, X1)), d(B, d(E, G2)))), Z2=d(d(A, d(G1, H2)), d(A1, Z1)), S2=d(d(A, d(d(2, d(1, d(B, A3))), d(B, R2))), d(d(2, d(1, d(B, Q2))), d(B, d(E, A3)))), R2=d(d(A, J), O1), Y1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(G, d(2, d(1, R1)))))))), U))), d(G, R))))), U)), Q)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(I1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), N1)))), U)))))), d(I1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R1))), N1)))), U))))), G2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(H, d(R, B3))))))), U))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(G1, B3))))), U)))), U)))))), U)), Q)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, d(H, d(R, Q))))))), U))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(G1, Q))))), U)))), U)))))), U)), Q)), A2=d(d(A, E), E), V2=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(2, d(1, d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, Q1))))), P1)))), U)))), V)))), U)))))), U))))), W)))))))), U))), S)), Q)), d(d(2, d(1, d(3, d(T, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, d(2, d(1, N)))))), V)))), U)))))), U))))), W)), B1=d(d(A, d(X1, d(d(A, d(d(2, d(1, d(B, C3))), K2)), d(E1, d(B, d(E, C3)))))), d(X1, d(d(A, d(d(2, d(1, d(B, D3))), K2)), d(E1, d(B, d(E, D3)))))), B3=d(X1, d(d(A, d(d(2, d(1, J2)), d(B, E3))), d(d(2, d(1, d(B, d(E, E3)))), B2))), D1=d(d(B, d(d(A, d(d(2, d(1, d(B, O2))), d(B, W2))), d(d(2, d(1, d(B, d(E, W2)))), d(B, d(E, O2))))), d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C3=d(E2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D3=d(E2, d(1, W1)), F3=d(E2, d(1, Q2)), C2=d(E2, d(1, R2)), Y2=d(E2, d(1, G2)), D2=d(E2, Q), E3=d(E2, d(X1, d(d(A, d(d(2, d(1, K2)), d(B, F3))), d(d(2, d(1, d(B, d(E, F3)))), F1)))), A3=d(F2, W1)]).
mm_proof('pm4.82', d(d(A, d(d(2, d(1, d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(C, d(E, d(d(2, d(d(2, d(1, 2)), d(F, d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(G, H)))), I)))))), I)))))), d(C, d(D, d(1, d(J, I)))))))), K)))), I)))), H)))), I)))))), I))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, L))))), I))), d(d(2, d(1, O)), d(L, d(d(3, d(3, d(1, P))), P))))))), I)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Q)))), d(F, R))))), I))), R)), K))-[F=d(2, d(1, 1)), C=d(2, d(1, 3)), J=d(2, d(1, M)), D=d(2, d(1, d(2, d(1, d(B, K))))), G=d(2, d(1, d(2, K))), E=d(2, d(1, d(2, R))), N=d(2, d(1, d(2, A))), M=d(2, d(1, K)), B=d(2, d(C, S)), T=d(3, d(B, R)), O=d(3, d(B, d(d(2, d(1, d(2, d(C, d(D, S))))), I))), K=d(d(2, 1), 1), I=d(F, K), H=d(F, d(d(2, d(1, U)), R)), R=d(C, I), Q=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, I)))), H)))), I)), A=d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q), S=d(d(2, d(1, d(2, d(J, H)))), I), L=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(C, d(E, K))), K), P=d(U, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), K))), d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(N, H)))), I)))))), I)))))), H)))), I))), K)))))]).
mm_proof('pm4.83', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(1, 1), G=d(2, F), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, B))), M=d(2, d(1, K)), Q=d(2, d(1, R)), J=d(2, d(H, S)), T=d(3, d(J, O)), U=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, S))))), V))), K=d(d(2, 1), 1), V=d(G, K), W=d(G, d(d(2, d(1, X)), O)), O=d(H, V), Y=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), W)))), V)), B=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), Z=d(d(2, d(1, d(2, K))), V), S=d(d(2, d(1, d(2, d(d(2, d(1, M)), W)))), V), C=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), W)))), V)))))), V))))), B1), X=d(d(2, d(H, d(N, K))), K), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(G, C))))), V))), d(d(2, d(1, U)), d(C, d(d(3, d(3, d(1, C1))), C1))))))), V)), K), B1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D1=d(C, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(C, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(d(2, d(1, d(C, d(d(B, A), A)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(G, F))))), V))), Z)))), V)), K)), d(R, K)), C1=d(X, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), V))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(P, W)))), V)))))), V)))))), W)))), V))), K))))), D=d(d(B, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, D1))))), Y)))), d(G, d(d(2, d(1, d(2, d(L, d(G, d(Q, 1)))))), V)))))), V))), d(d(2, d(1, d(2, d(L, d(G, d(Q, d(N, V))))))), V))), K)), d(d(2, d(1, d(2, d(d(2, d(H, d(N, d(d(2, d(d(2, d(1, 2)), d(G, d(1, d(d(2, d(1, d(2, A1))), V))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), D1))))), Y)))), V)))), W)))), V)))))), V))))), B1)))), V))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K)))), V))]).
mm_proof(pclem6, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(B, d(d(C, d(d(2, d(1, d(B, D))), E)), d(d(2, d(1, d(B, d(F, G)))), d(B, d(F, D))))))), d(H, d(d(C, d(d(2, d(1, d(B, I))), d(B, J))), d(d(2, d(1, d(B, d(F, J)))), d(B, d(F, I)))))))))), K)))), L))), M)-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), A=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, C))), S=d(2, d(1, d(2, B))), T=d(2, d(1, M)), U=d(2, d(1, B)), V=d(2, d(1, W)), X=d(2, d(1, Y)), Z=d(2, d(1, d(B, A1))), B1=d(2, d(1, d(B, C1))), D1=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, L))))), d(1, E1)))), F1=d(2, d(A, G1)), H1=d(3, d(F1, I1)), J1=d(3, d(F1, d(d(2, d(1, d(2, d(A, d(P, G1))))), L))), M=d(d(2, 1), 1), K1=d(N, 1), L=d(N, M), K=d(N, L1), I1=d(A, L), M1=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), K)))), L)), C=d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1), E1=d(d(2, d(1, d(2, M))), L), G1=d(d(2, d(1, d(2, d(d(2, d(1, T)), K)))), L), N1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), M1)))), L), B=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(d(2, d(1, J1)), d(B, d(d(3, d(3, d(1, P1))), P1))), Q1=d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(A, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), K)))), L)))))), L))))), R1), L1=d(d(2, d(1, S1)), I1), S1=d(d(2, d(A, d(d(2, d(1, d(2, I1))), M))), M), Q=d(F1, M), T1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(N, d(S, L)))))), L))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, K1)))), L))), 1)))), L))))), L)), M), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(N, B))))), L))), O1)))), L)), M), R1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(B, d(F, U1)), H=d(B, d(F, V1)), E=d(B, G), W1=d(B, d(F, X1)), Y1=d(B, d(F, C1)), Y=d(B, d(F, Z1)), A2=d(B, d(F, B2)), C2=d(B, V1), D2=d(B, E2), F2=d(B, X1), G2=d(B, Z1), H2=d(B, B2), P1=d(S1, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), M))), d(3, d(F1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(2, d(1, d(2, d(A, d(P, d(d(2, d(1, d(2, d(R, K)))), L)))))), L)))))), K)))), L))), M))))), D=d(F, d(d(C, d(d(2, d(1, d(B, U1))), d(B, I2))), d(d(2, d(1, d(B, d(F, I2)))), W))), I2=d(F, d(d(C, d(d(2, d(1, d(B, J2))), d(B, K2))), d(d(2, d(1, d(B, L2))), d(B, d(F, J2))))), L2=d(F, K2), M2=d(F, E2), G=d(F, A1), N2=d(F, d(d(C, d(H, d(d(C, d(B1, G2)), d(X, Y1)))), d(H, d(d(C, d(d(2, d(1, F2)), G2)), d(X, W1))))), O2=d(d(C, d(d(2, d(1, d(B, N2))), D2)), d(d(2, d(1, d(B, M2))), d(B, d(F, N2)))), U1=d(d(C, d(Z, d(B, O2))), d(d(2, d(1, d(B, d(F, O2)))), E)), K2=d(d(C, Q), L1), V1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(N, d(O, d(2, d(1, O1)))))))), L))), d(O, U))))), L)), M)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, C)))), d(D1, d(N, d(d(2, d(1, d(2, d(S, K1)))), L)))))), d(D1, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), K1)))), L))))), E2=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(N, d(A, d(U, P2))))))), L))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(Z, P2))))), L)))), L)))))), L)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(N, d(A, d(U, M))))))), L))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(Z, M))))), L)))), L)))))), L)), M)), A1=d(d(C, F), F), Q2=d(H, d(d(C, d(d(2, d(1, d(B, R2))), H2)), d(d(2, d(1, A2)), d(B, d(F, R2))))), P2=d(H, d(d(C, d(B1, d(B, S2))), d(d(2, d(1, d(B, d(F, S2)))), Y1))), X1=d(C2, d(1, L2)), R2=d(C2, d(1, M2)), I=d(C2, d(1, d(d(C, Q1), Q1))), C1=d(C2, d(1, K2)), Z1=d(C2, M), T2=d(C2, d(Z, d(V, d(Z, T1)))), U2=d(C2, d(Z, d(V, d(Z, Q2)))), J=d(C2, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(N, d(1, d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(A, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), K)))), L)))))), L))))), R1))))))), L))), N1)))), L)), M)), B2=d(C2, T1), V2=d(C2, Q2), S2=d(C2, d(H, d(d(C, d(d(2, d(1, G2)), F2)), d(d(2, d(1, W1)), Y)))), J2=d(D2, d(F, d(S1, d(d(2, d(1, d(Z, d(H, d(d(C, d(d(2, d(1, H2)), d(B, T2))), d(d(2, d(1, d(B, d(F, T2)))), A2)))))), d(3, d(F1, d(Z, d(H, d(d(C, d(d(2, d(1, d(B, V2))), d(B, U2))), d(d(2, d(1, d(B, d(F, U2)))), d(B, d(F, V2))))))))))))]).
mm_proof(bigolden, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, L)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, A))), S=d(2, d(1, d(2, T))), L=d(2, d(1, O)), U=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), V=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, W))))), F))), N=d(2, d(J, X)), Y=d(3, d(N, Q)), Z=d(3, d(N, d(d(2, d(1, d(2, d(J, d(M, X))))), W))), O=d(d(2, 1), 1), A1=d(H, 1), W=d(H, O), B1=d(H, d(d(2, d(1, C1)), Q)), Q=d(J, W), D1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), B1)))), W)), A=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1), G=d(d(2, d(1, d(2, O))), W), X=d(d(2, d(1, d(2, d(K, B1)))), W), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, F1))))), D1)))), W), B=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, Z)), G1), H1=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), B1)))), W)))))), W))))), I1), J1=d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), B1)))), W)))))), W))))), I1), C1=d(d(2, d(J, d(P, O))), O), K1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, d(1, H1)))))), W))), E1)))), W)), O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, B))))), W))), T)))), W)), O), L1=d(d(3, d(3, d(1, M1))), M1), I1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G1=d(B, L1), F1=d(B, N1), O1=d(B, P1), M1=d(C1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), W))), O))), d(3, d(N, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(R, B1)))), W)))))), W)))))), B1)))), W))), O))))), Q1=d(K1, H1), N1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R1=d(E, d(d(A, d(d(2, d(1, F1)), G1)), d(d(2, d(1, d(B, d(E, L1)))), d(B, d(E, N1))))), S1=d(E, d(d(A, d(d(2, d(1, d(B, T1))), d(B, U1))), d(d(2, d(1, d(B, d(E, U1)))), d(B, d(E, T1))))), D=d(E, V1), T1=d(d(A, d(d(2, d(1, d(B, R1))), d(B, Q1))), d(d(2, d(1, d(B, d(E, Q1)))), d(B, d(E, R1)))), C=d(d(A, d(d(2, d(1, d(B, W1))), d(B, S1))), d(d(2, d(1, d(B, d(E, S1)))), d(B, d(E, W1)))), W1=d(d(A, d(d(2, d(1, d(B, V1))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, d(1, d(U, 1))))))), W))), d(d(2, d(1, d(2, d(d(2, d(J, d(P, d(d(2, d(I, d(H, F))), d(J, d(M, d(d(2, d(1, d(2, d(1, d(K, W))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O)))), W))))), W)), O))), d(d(2, d(1, d(2, d(S, d(H, d(U, d(P, W))))))), W)), P1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, d(I, d(2, d(1, T)))))))), W))), d(I, d(2, d(1, B))))))), W)), O)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(V, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), A1)))), W)))))), d(V, d(H, d(d(2, d(1, d(2, d(S, A1)))), W))))), V1=d(d(A, E), E), X1=d(O1, d(1, d(d(A, J1), J1))), Y1=d(O1, K1), U1=d(O1, d(d(B, d(E, P1)), d(d(A, d(d(2, d(1, d(B, X1))), d(B, Y1))), d(d(2, d(1, d(B, d(E, Y1)))), d(B, d(E, X1))))))]).
mm_proof('pm5.71', d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(2, d(1, d(E, d(d(F, d(G, d(H, I))), d(d(2, d(1, d(H, d(J, I)))), K)))))))), d(A, d(L, d(1, d(E, d(d(F, d(G, d(H, M))), d(d(2, d(1, d(H, d(J, M)))), K)))))))))), N)-[D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), O=d(2, d(1, P)), L=d(2, d(1, d(2, d(1, Q)))), B=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, F))), P=d(2, d(1, N)), T=d(2, d(1, H)), U=d(2, d(1, d(H, d(J, V)))), W=d(2, d(1, d(H, d(J, X)))), Y=d(2, d(1, Z)), A1=d(2, d(1, d(H, d(d(F, d(d(2, d(1, d(H, B1))), d(H, C1))), d(d(2, d(1, d(H, d(J, C1)))), d(H, d(J, B1))))))), D1=d(2, d(1, E1)), G=d(2, d(1, d(H, F1))), G1=d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, H1))))), d(1, I1)))), J1=d(2, d(A, K1)), L1=d(3, d(J1, R)), M1=d(3, d(J1, d(d(2, d(1, d(2, d(A, d(L, K1))))), H1))), N=d(d(2, 1), 1), N1=d(D, 1), H1=d(D, N), O1=d(D, P1), R=d(A, H1), Q1=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), O1)))), H1)), F=d(d(2, d(1, d(2, d(1, d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q1), I1=d(d(2, d(1, d(2, N))), H1), R1=d(B, H1), K1=d(d(2, d(1, d(2, d(O, O1)))), H1), H=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(d(2, d(1, M1)), d(H, d(d(3, d(3, d(1, T1))), T1))), U1=d(d(2, d(1, d(3, d(J1, d(d(2, d(1, d(2, d(A, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(H, V1)))))), Q1)))), H1)))), O1)))), H1)))))), H1))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(1, W1)), R), W1=d(d(2, d(A, d(B, N))), N), Q=d(J1, N), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, H))))), H1))), S1)))), H1)), N), E=d(H, d(J, X1)), Y1=d(H, d(J, Z1)), K=d(H, d(J, F1)), Z=d(H, d(J, A2)), B2=d(H, X1), E1=d(H, Z1), C2=d(H, V), D2=d(H, X), E2=d(H, A2), T1=d(W1, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O1)))), H1))), N))), d(3, d(J1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J1, d(d(2, d(1, d(2, d(A, d(L, d(d(2, d(1, d(2, d(S, O1)))), H1)))))), H1)))))), O1)))), H1))), N))))), V1=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(J, d(d(F, d(d(2, d(1, d(H, F2))), C2)), d(U, d(H, d(J, F2))))), G2=d(d(F, U1), U1), C1=d(d(F, d(d(2, d(1, d(H, H2))), d(H, I2))), d(d(2, d(1, d(H, d(J, I2)))), d(H, d(J, H2)))), F2=d(d(F, d(d(2, d(1, d(H, J2))), E1)), d(d(2, d(1, Y1)), d(H, d(J, J2)))), H2=d(d(F, d(d(2, d(1, d(H, K2))), B2)), d(d(2, d(1, E)), d(H, d(J, K2)))), J2=d(d(F, d(D1, C2)), d(U, Y1)), L2=d(d(F, Q), P1), X1=d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, d(C, d(2, d(1, S1)))))))), H1))), d(C, T))))), H1)), N)), d(d(2, d(C, d(d(2, d(1, d(2, d(1, F)))), d(G1, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), N1)))), H1)))))), d(G1, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S1))), N1)))), H1))))), K2=d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, d(A, d(T, M2))))))), H1))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(D1, M2))))), H1)))), H1)))))), H1)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, d(A, d(T, N))))))), H1))), d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(D1, N))))), H1)))), H1)))))), H1)), N)), Z1=d(d(F, J), J), V=d(d(F, d(E, d(d(F, d(d(2, d(1, d(H, N2))), E2)), d(Y, d(H, d(J, N2)))))), d(E, d(d(F, d(d(2, d(1, d(H, O2))), E2)), d(Y, d(H, d(J, O2)))))), M2=d(E, d(d(F, d(d(2, d(1, d(H, P2))), d(H, Q2))), d(d(2, d(1, d(H, d(J, Q2)))), d(H, d(J, P2))))), N2=d(B2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O2=d(B2, d(1, V1)), F1=d(B2, d(1, d(J, G2))), R2=d(B2, d(1, d(J, L2))), X=d(B2, d(1, G2)), P2=d(B2, d(1, L2)), I2=d(B2, d(1, K2)), A2=d(B2, N), S2=d(B2, d(A1, d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, d(1, d(d(2, d(1, d(H, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), R1))))))), H1))), d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(O, H1))))), d(A, d(L, d(d(2, d(1, d(2, d(1, R1)))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), N)))), H1))))), H1)), N)))), T2=d(B2, d(A1, R)), Q2=d(B2, d(E, d(d(F, d(d(2, d(1, E2)), d(H, R2))), d(d(2, d(1, d(H, d(J, R2)))), Z)))), M=d(B2, d(E, d(d(F, d(d(2, d(1, d(H, S2))), D2)), d(W, d(H, d(J, S2)))))), I=d(B2, d(E, d(d(F, d(d(2, d(1, d(H, T2))), D2)), d(W, d(H, d(J, T2))))))]).
mm_proof('pm5.75', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(D, d(d(E, d(d(2, d(1, d(F, G))), d(F, H))), d(d(2, d(1, d(F, d(I, H)))), d(F, d(I, G))))))), J))))), K)))), L)))), M)))), L)))))), L))))), N)-[O=d(1, 1), P=d(2, O), Q=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, R)))), S=d(2, d(1, d(2, E))), T=d(2, d(1, U)), V=d(2, d(1, F)), W=d(2, d(1, d(F, X))), Y=d(2, d(1, d(F, d(I, Z)))), A1=d(2, d(1, B1)), C1=d(2, d(1, D1)), E1=d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, L))))), d(1, F1)))), A=d(2, d(B, G1)), H1=d(3, d(A, I1)), J1=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, G1))))), L))), U=d(d(2, 1), 1), K1=d(P, 1), L=d(P, U), M=d(P, L1), I1=d(B, L), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), M)))), L)), E=d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K), F1=d(d(2, d(1, d(2, U))), L), G1=d(d(2, d(1, d(2, d(d(2, d(1, T)), M)))), L), M1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, J))))), K)))), L), F=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, J1)), d(F, d(d(3, d(3, d(1, O1))), O1))), P1=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), M)))), L)))))), L))))), N), L1=d(d(2, d(1, Q1)), I1), Q1=d(d(2, d(B, d(d(2, d(1, d(2, I1))), U))), U), R=d(A, U), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(P, F))))), L))), N1)))), L)), U), N=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(F, R1), S1=d(F, d(I, X)), D=d(F, d(I, T1)), U1=d(F, d(I, V1)), W1=d(F, d(I, X1)), B1=d(F, d(I, Y1)), Z1=d(F, d(d(E, d(d(2, d(1, d(F, A2))), d(F, B2))), d(d(2, d(1, d(F, d(I, B2)))), d(F, d(I, A2))))), C2=d(F, T1), D1=d(F, V1), D2=d(F, Z), E2=d(F, X1), F2=d(F, Y1), O1=d(Q1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), U))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(S, M)))), L)))))), L)))))), M)))), L))), U))))), R1=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(I, G2), A2=d(I, d(d(E, d(d(2, d(1, d(F, H2))), D2)), d(Y, d(F, d(I, H2))))), G2=d(d(E, P1), P1), I2=d(d(E, d(W, d(F, J2))), d(d(2, d(1, d(F, d(I, J2)))), S1)), B2=d(d(E, d(d(2, d(1, d(F, K2))), d(F, L2))), d(d(2, d(1, d(F, d(I, L2)))), d(F, d(I, K2)))), H2=d(d(E, d(d(2, d(1, d(F, M2))), D1)), d(d(2, d(1, U1)), d(F, d(I, M2)))), K2=d(d(E, d(d(2, d(1, d(F, N2))), C2)), d(d(2, d(1, D)), d(F, d(I, N2)))), M2=d(d(E, d(C1, D2)), d(Y, U1)), O2=d(d(E, R), L1), T1=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(P, d(Q, d(2, d(1, N1)))))))), L))), d(Q, V))))), L)), U)), d(d(2, d(Q, d(d(2, d(1, d(2, d(1, E)))), d(E1, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), K1)))), L)))))), d(E1, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), K1)))), L))))), N2=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(P, d(B, d(V, P2))))))), L))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(C1, P2))))), L)))), L)))))), L)), U)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(P, d(B, d(V, U))))))), L))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(C1, U))))), L)))), L)))))), L)), U)), V1=d(d(E, I), I), Z=d(d(E, d(D, d(d(E, d(d(2, d(1, d(F, Q2))), F2)), d(A1, d(F, d(I, Q2)))))), d(D, d(d(E, d(d(2, d(1, d(F, R2))), F2)), d(A1, d(F, d(I, R2)))))), P2=d(D, d(d(E, d(d(2, d(1, d(F, S2))), d(F, T2))), d(d(2, d(1, d(F, d(I, T2)))), d(F, d(I, S2))))), J2=d(Z1, d(C1, d(C1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(P, d(1, d(d(2, d(1, d(F, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1))))))), L))), d(d(2, d(1, d(2, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), L))))), L)), U)))), U2=d(Z1, d(C1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(P, O))))), L))), F1)))), L)), U))), Q2=d(C2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R2=d(C2, d(1, R1)), V2=d(C2, d(1, X)), W2=d(C2, d(1, d(I, d(d(E, d(W, d(F, U2))), d(d(2, d(1, d(F, d(I, U2)))), S1))))), X2=d(C2, d(1, d(I, O2))), X1=d(C2, d(1, G2)), Y2=d(C2, d(1, d(d(E, d(d(2, d(1, d(F, I2))), d(F, G2))), d(W, d(F, d(I, I2)))))), S2=d(C2, d(1, O2)), L2=d(C2, d(1, N2)), Y1=d(C2, U), H=d(C2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(D, d(d(E, d(d(2, d(1, d(F, Y2))), d(F, Z2))), d(d(2, d(1, d(F, d(I, Z2)))), d(F, d(I, Y2))))))))), M)))), L)))))), L))))), N)), G=d(C2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(C1, d(C1, d(C1, d(D, d(d(E, d(d(2, d(1, d(F, W2))), d(F, A3))), d(d(2, d(1, d(F, d(I, A3)))), d(F, d(I, W2)))))))))))), M)))), L)))))), L))))), N))), J))))), K)))), L)))), M)))), L)))))), L))))), N)), B3=d(C2, d(d(2, d(1, Z1)), L)), C3=d(C2, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(P, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M)))), L)))))), L))))), N))))))), L))), M1)))), L)), U)), Z2=d(C2, d(D, d(d(E, d(d(2, d(1, d(F, V2))), d(F, D3))), d(d(2, d(1, d(F, d(I, D3)))), d(F, d(I, V2)))))), A3=d(C2, d(D, d(d(E, d(d(2, d(1, E2)), d(F, C3))), d(d(2, d(1, d(F, d(I, C3)))), W1)))), T2=d(C2, d(D, d(d(E, d(d(2, d(1, F2)), d(F, X2))), d(d(2, d(1, d(F, d(I, X2)))), B1)))), D3=d(C2, d(D, d(d(E, d(d(2, d(1, d(F, B3))), E2)), d(d(2, d(1, W1)), d(F, d(I, B3))))))]).
mm_proof(ecase2d, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, A)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), I), d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1))), d(C, d(J, d(H, d(I, d(F, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(J, d(L, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(J, d(L, d(J, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(M, d(N, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, O))), O)))))), P))))))), Q))))))), R)))))))))), P)))))))), d(S, d(K, T)))))))))), U))-[T=d(1, U), V=d(2, d(1, 1)), W=d(2, d(1, 2)), S=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, X)))), G=d(2, d(1, d(2, Y))), Z=d(2, d(1, d(2, A1))), B1=d(2, d(1, C1)), O=d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), D1=d(2, d(1, d(C1, d(d(A1, E1), E1)))), F1=d(2, d(W, d(d(2, d(1, d(2, d(1, d(W, R))))), d(1, G1)))), H1=d(2, d(S, I1)), J1=d(3, d(H1, Y)), K1=d(3, d(H1, d(d(2, d(1, d(2, d(S, d(K, I1))))), R))), M=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), N=d(d(d(2, d(1, 2)), 1), W), C=d(d(d(2, d(1, 2)), 1), B), L1=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), V)), L=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1))), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), M)), D=d(d(d(2, d(1, 2)), 1), C), I=d(d(d(2, d(1, 2)), 1), L1), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), N)), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S))), E=d(d(d(2, d(1, 2)), 1), J), U=d(d(2, 1), 1), M1=d(V, 1), R=d(V, U), Q=d(V, A), Y=d(S, R), A1=d(d(2, d(1, d(2, d(1, d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), Q)))), R))), G1=d(d(2, d(1, d(2, U))), R), I1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Q)))), R), C1=d(d(2, d(1, J1)), d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, K1)), d(C1, d(d(3, d(3, d(1, O1))), O1))), A=d(d(2, d(1, P1)), Y), P1=d(d(2, d(S, d(G, U))), U), X=d(H1, U), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(V, C1))))), R))), N1)))), R)), U), P=d(L1, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(M, d(2, d(1, d(C1, d(E1, d(d(A1, d(d(2, d(1, d(C1, Q1))), d(C1, R1))), d(d(2, d(1, d(C1, S1))), d(C1, d(E1, Q1))))))))))), T1=d(C1, d(E1, U1)), V1=d(C1, U1), O1=d(P1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R))), U))), d(3, d(H1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H1, d(d(2, d(1, d(2, d(S, d(K, d(d(2, d(1, d(2, d(Z, Q)))), R)))))), R)))))), Q)))), R))), U))))), S1=d(E1, R1), R1=d(d(A1, X), A), U1=d(d(A1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(V, d(W, d(2, d(1, N1)))))))), R))), d(W, B1))))), R)), U)), d(d(2, d(W, d(d(2, d(1, d(2, d(1, A1)))), d(F1, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), M1)))), R)))))), d(F1, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), M1)))), R))))), W1=d(T1, d(d(A1, d(d(2, d(1, d(C1, X1))), d(C1, Y1))), d(d(2, d(1, d(C1, d(E1, Y1)))), d(C1, d(E1, X1))))), Z1=d(V1, d(1, S1)), X1=d(V1, d(1, R1)), A2=d(V1, U), Y1=d(V1, d(T1, d(d(A1, d(d(2, d(1, d(C1, A2))), d(C1, Z1))), d(d(2, d(1, d(C1, d(E1, Z1)))), d(C1, d(E1, A2)))))), Q1=d(d(C1, d(d(A1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(V, d(S, d(B1, W1))))))), R))), d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(D1, W1))))), R)))), R)))))), R)), U)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(V, d(S, d(B1, U))))))), R))), d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(D1, U))))), R)))), R)))))), R)), U))), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(ecase3, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), C), d(D, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(D, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), I), 1))))), d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(J, K)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(E, d(H, 1)))), d(d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), K)))))), d(d(d(d(2, d(1, 2)), 1), 3), J)))-[I=d(2, d(1, 1)), M=d(2, d(1, 3)), G=d(2, d(1, d(2, N))), J=d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), d(I, d(d(2, d(1, A)), N)))))), O))), L=d(3, d(J, N)), E=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), M), D=d(d(d(2, d(1, 2)), 1), H), K=d(d(2, 1), 1), O=d(I, K), N=d(M, O), A=d(d(2, d(M, d(G, K))), K)]).
mm_proof(ecase, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(D, d(G, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(H, I))))), K))), d(d(2, d(1, L)), d(I, d(d(3, d(3, d(1, M))), M))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O)))))), d(E, d(d(d(d(2, d(1, 2)), 1), P), 1)))))))), N)))))), d(d(d(d(2, d(1, 2)), 1), 3), Q)))-[H=d(2, d(1, 1)), R=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, N))))), F=d(2, d(1, d(2, S))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), Q=d(2, d(R, T)), U=d(3, d(Q, S)), L=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(P, T))))), K))), D=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, 2)), 1), G), N=d(d(2, 1), 1), K=d(H, N), V=d(H, d(d(2, d(1, A)), S)), S=d(R, K), O=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), V)))), K)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), V)))), K), I=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(R, d(F, N))), N), M=d(A, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), K))), N))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(P, d(d(2, d(1, d(2, d(J, V)))), K)))))), K)))))), V)))), K))), N)))))]).
mm_proof(ecase3d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), E), d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), H), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(I, d(F, d(G, J))))), d(K, d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(H, d(I, J)))), d(d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), N)))))), O))))))), d(K, L)))))))), N)-[P=d(2, d(1, 1)), Q=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(R, N))))), S=d(2, d(1, d(2, T))), R=d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), d(P, d(d(2, d(1, d(d(2, d(Q, d(S, N))), N))), T)))))), O))), M=d(3, d(R, T)), H=d(d(d(2, d(1, 2)), 1), 1), I=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), G=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), K=d(d(d(2, d(1, 2)), 1), Q), B=d(d(d(2, d(1, 2)), 1), I), C=d(d(d(2, d(1, 2)), 1), K), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), N=d(d(2, 1), 1), O=d(P, N), T=d(Q, O), J=d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(H, 2))), O))]).
mm_proof(ecased, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), E), d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), H), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(I, d(F, d(G, J))))), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(H, d(I, J)))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), N)))))), O))))))), d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(H, d(I, d(P, d(Q, d(M, d(R, d(d(S, d(d(2, d(1, d(M, T))), U)), d(V, d(M, d(R, T)))))))))))), O)))))))))), N)-[W=d(1, N), Q=d(2, d(1, 1)), X=d(2, d(1, 2)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(X, O))))), A1=d(2, d(1, d(2, d(1, B1)))), C1=d(2, d(1, d(2, D1))), E1=d(2, d(1, d(2, S))), F1=d(2, d(1, M)), V=d(2, d(1, d(M, G1))), H1=d(2, d(1, d(M, d(d(S, R), R)))), I1=d(2, d(X, d(Z, d(1, J1)))), K1=d(2, d(X, d(Z, d(X, d(Q, W))))), L1=d(2, d(Y, M1)), N1=d(3, d(L1, D1)), O1=d(3, d(L1, d(d(2, d(1, d(2, d(Y, d(A1, M1))))), O))), H=d(d(d(2, d(1, 2)), 1), 1), I=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), G=d(d(d(2, d(1, 2)), 1), Q), F=d(d(d(2, d(1, 2)), 1), X), K=d(d(d(2, d(1, 2)), 1), Y), L=d(d(d(2, d(1, 2)), 1), A1), B=d(d(d(2, d(1, 2)), 1), I), C=d(d(d(2, d(1, 2)), 1), K), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C1)), P=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I, d(H, 2))), N=d(d(2, 1), 1), P1=d(Q, 1), O=d(Q, N), Q1=d(Q, R1), D1=d(Y, O), S=d(d(2, d(1, d(2, d(1, d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), Q1)))), O))), J1=d(d(2, d(1, d(2, N))), O), M1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), Q1)))), O), S1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F1, d(H1, N))))), O)))), O), M=d(d(2, d(1, N1)), d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T1=d(d(2, d(1, O1)), d(M, d(d(3, d(3, d(1, U1))), U1))), V1=d(F1, N), R1=d(d(2, d(1, W1)), D1), W1=d(d(2, d(Y, d(C1, N))), N), B1=d(L1, N), R=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(Q, M))))), O))), T1)))), O)), N), J=d(H, d(P, O)), X1=d(M, d(R, Y1)), U=d(M, Z1), A2=d(M, Y1), B2=d(M, d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(Q, d(Y, d(F1, C2))))))), O))), d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F1, d(H1, C2))))), O)))), O)))))), O)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(Q, d(Y, V1)))))), O))), d(Y, S1))))), O)), N))), U1=d(W1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q1)))), O))), N))), d(3, d(L1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L1, d(d(2, d(1, d(2, d(Y, d(A1, d(d(2, d(1, d(2, d(E1, Q1)))), O)))))), O)))))), Q1)))), O))), N))))), D2=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E2=d(R, d(d(S, d(d(2, d(1, d(M, F2))), U)), d(V, d(M, d(R, F2))))), G1=d(R, Z1), G2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(Q, d(K1, d(Q, V1))))))), O))), d(K1, d(Q, S1)))))), O)), N), Z1), H2=d(d(S, d(d(2, d(1, d(M, D2))), d(M, G2))), d(d(2, d(1, d(M, d(R, G2)))), d(M, d(R, D2)))), Z1=d(d(S, B1), R1), Y1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(Q, d(X, d(2, d(1, T1)))))))), O))), d(X, F1))))), O)), N)), d(d(2, d(X, d(d(2, d(1, d(2, d(1, S)))), d(I1, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), P1)))), O)))))), d(I1, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T1))), P1)))), O))))), C2=d(X1, d(d(S, d(d(2, d(1, d(M, I2))), d(M, J2))), d(d(2, d(1, d(M, d(R, J2)))), d(M, d(R, I2))))), K2=d(A2, d(1, G1)), I2=d(A2, d(1, Z1)), L2=d(A2, N), J2=d(A2, d(X1, d(d(S, d(d(2, d(1, d(M, L2))), d(M, K2))), d(d(2, d(1, d(M, d(R, K2)))), d(M, d(R, L2)))))), F2=d(B2, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(B2, d(d(S, d(d(2, d(1, d(M, H2))), d(M, E2))), d(d(2, d(1, d(M, d(R, E2)))), d(M, d(R, H2)))))]).
mm_proof(ecase3ad, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(E, d(F, d(G, d(H, I)))))), d(C, d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(K, d(B, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, P)))), d(Q, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), U)))))), U))))), W))))))), U))))), U))))), V))))), U))))))), U)))))), W)))), X)))))), Y)))))), d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(Z, d(d(2, d(1, d(2, d(1, d(Z, U))))), d(1, A1))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, P))), X)))))), Y))))))), U))))), V))))), U))))))), U)))))), W))))), V))))), U))))))), U)))))), W)))), X)))))), Y))))))))), B1))))), X))))))), Y)))))))))), B1)-[Q=d(2, d(1, 1)), Z=d(2, d(1, 2)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, B1))))), C1=d(2, d(1, d(2, D1))), E1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), R=d(2, d(S, G1)), H1=d(3, d(R, D1)), F1=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, G1))))), U))), L=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), M=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), Q), G=d(d(d(2, d(1, 2)), 1), Z), O=d(d(d(2, d(1, 2)), 1), S), J=d(d(d(2, d(1, 2)), 1), T), N=d(d(d(2, d(1, 2)), 1), R), K=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C1)), B1=d(d(2, 1), 1), U=d(Q, B1), V=d(Q, d(d(2, d(1, I1)), D1)), D1=d(S, U), Y=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), V)))), U)), A1=d(d(2, d(1, d(2, B1))), U), G1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B1)))), V)))), U), J1=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(S, d(C1, B1))), B1), I=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(O, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, 2))), V))))), U))))))), U)))))), W)))), X)))))), Y), P=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(L, d(F, I)))), U), W=d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(J1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(Q, J1))))), U))), d(d(2, d(1, F1)), d(J1, d(d(3, d(3, d(1, K1))), K1))))))), U)), B1), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(I1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), U))), B1))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(E1, V)))), U)))))), U)))))), V)))), U))), B1)))))]).
mm_proof(ccase, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(K, d(L, d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, 2)), 1), N), O))))))), d(P, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, O))))), R))))))))))), S)))))))), T)))))))), U)))))))), T)))))))))), T))))))))), V)-[W=d(2, d(1, 1)), X=d(2, d(1, 3)), Y=d(2, d(1, d(2, d(1, d(Z, S))))), A1=d(2, d(1, d(2, B1))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), Z=d(2, d(X, F1)), G1=d(3, d(Z, B1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, F1))))), T))), H1=d(d(d(2, d(1, 2)), 1), 1), I1=d(d(d(2, d(1, 2)), 1), 2), J1=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), N=d(d(d(2, d(1, 2)), 1), W), M=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), K1=d(d(d(2, d(1, 2)), 1), X), L1=d(d(d(2, d(1, 2)), 1), Y), Q=d(d(d(2, d(1, 2)), 1), H1), L=d(d(d(2, d(1, 2)), 1), I1), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), K=d(d(d(2, d(1, 2)), 1), J1), B=d(d(d(2, d(1, 2)), 1), A), P=d(d(d(2, d(1, 2)), 1), K1), I=d(d(d(2, d(1, 2)), 1), L1), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A1)), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Z)), C=d(d(d(2, d(1, 2)), 1), B), E=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L)), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), P)), S=d(d(2, 1), 1), T=d(W, S), U=d(W, d(d(2, d(1, M1)), B1)), B1=d(X, T), E1=d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), U)))), T)), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), U)))), T), N1=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(X, d(A1, S))), S), O1=d(H1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I1, d(H1, d(I1, d(H1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I1, 1)), P1)))))), E1)), O=d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(P, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(P, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J1, d(I1, d(M, d(N, O1))))), d(K1, d(L1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I1, d(H1, d(I1, O1)))), R))))))))), S)))))), U)))))), T)))))))), T))))))), V))))), P1))))))), E1)))))), T)), V=d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P1=d(N1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(W, N1))))), T))), d(d(2, d(1, D1)), d(N1, d(d(3, d(3, d(1, Q1))), Q1))))))), T)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q1=d(M1, d(d(2, d(1, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), T))), S))), d(3, d(Z, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(C1, U)))), T)))))), T)))))), U)))), T))), S)))))]).
mm_proof(ccased, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(K, d(L, d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, 2)), 1), N), O))))))), d(P, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, O))))), R))))))))))), S)))))))), T)))))))), U)))))))), T)))))))))), T))))))))), V)))))))), T)-[W=d(2, d(1, 1)), X=d(2, d(1, 3)), Y=d(2, d(1, d(2, d(1, d(Z, S))))), A1=d(2, d(1, d(2, B1))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), Z=d(2, d(X, F1)), G1=d(3, d(Z, B1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, F1))))), T))), H1=d(d(d(2, d(1, 2)), 1), 1), I1=d(d(d(2, d(1, 2)), 1), 2), J1=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), N=d(d(d(2, d(1, 2)), 1), W), M=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), K1=d(d(d(2, d(1, 2)), 1), X), L1=d(d(d(2, d(1, 2)), 1), Y), Q=d(d(d(2, d(1, 2)), 1), H1), L=d(d(d(2, d(1, 2)), 1), I1), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), K=d(d(d(2, d(1, 2)), 1), J1), B=d(d(d(2, d(1, 2)), 1), A), P=d(d(d(2, d(1, 2)), 1), K1), I=d(d(d(2, d(1, 2)), 1), L1), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A1)), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Z)), C=d(d(d(2, d(1, 2)), 1), B), E=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L)), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), P)), S=d(d(2, 1), 1), T=d(W, S), U=d(W, d(d(2, d(1, M1)), B1)), B1=d(X, T), E1=d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), U)))), T)), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), U)))), T), N1=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(X, d(A1, S))), S), O1=d(H1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I1, d(H1, d(I1, d(H1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I1, d(H1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I1, d(H1, 2))), T)))), P1)))))), E1)), O=d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(P, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(Q, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(L, d(P, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J1, d(I1, d(M, d(N, O1))))), d(K1, d(L1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(I1, d(H1, d(I1, O1)))), R))))))))), S)))))), U)))))), T)))))))), T))))))), V))))), P1))))))), E1)))))), T)), V=d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P1=d(N1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(W, N1))))), T))), d(d(2, d(1, D1)), d(N1, d(d(3, d(3, d(1, Q1))), Q1))))))), T)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q1=d(M1, d(d(2, d(1, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), T))), S))), d(3, d(Z, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(C1, U)))), T)))))), T)))))), U)))), T))), S)))))]).
mm_proof(ccase2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(G, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(G, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), J), d(K, d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, 2)), 1), M), d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(O, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(N, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(K, d(O, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(P, d(L, d(M, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, 1)), R)))))), S))))))), d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(Q, V))))), W))))))))), X)))))), Y)))))), Z)))))))), Z))))))), A1))))), R))))))), S)))))), Z)))))))), d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(B1, d(C1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(T, d(D1, d(d(2, d(P, d(L, d(M, E1)))), d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, E1)))), W)))))))), X))))), Y))))), Z))))))), Z)))))), A1)))), R)))))), S))))), Z)))))), W)))))))))), X))))))), Z))))))), Y))))))), Z))))))))), Z)))))))), A1)-[F1=d(2, d(1, 1)), G1=d(2, d(1, 3)), H1=d(2, d(1, d(2, d(1, d(I1, X))))), J1=d(2, d(1, d(2, K1))), L1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), I1=d(2, d(G1, N1)), O1=d(3, d(I1, K1)), M1=d(3, d(I1, d(d(2, d(1, d(2, d(G1, d(H1, N1))))), Z))), Q=d(d(d(2, d(1, 2)), 1), 1), P=d(d(d(2, d(1, 2)), 1), 2), B1=d(d(d(2, d(1, 2)), 1), 3), J=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M=d(d(d(2, d(1, 2)), 1), F1), L=d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), T=d(d(d(2, d(1, 2)), 1), G1), U=d(d(d(2, d(1, 2)), 1), H1), D1=d(d(d(2, d(1, 2)), 1), J1), C1=d(d(d(2, d(1, 2)), 1), I1), N=d(d(d(2, d(1, 2)), 1), Q), K=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), B1), B=d(d(d(2, d(1, 2)), 1), A), O=d(d(d(2, d(1, 2)), 1), T), H=d(d(d(2, d(1, 2)), 1), U), I=d(d(d(2, d(1, 2)), 1), D1), F=d(d(d(2, d(1, 2)), 1), C1), D=d(d(d(2, d(1, 2)), 1), N), C=d(d(d(2, d(1, 2)), 1), K), G=d(d(d(2, d(1, 2)), 1), O), X=d(d(2, 1), 1), Z=d(F1, X), Y=d(F1, d(d(2, d(1, P1)), K1)), K1=d(G1, Z), S=d(G1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), Z)))), Y)))), Z)), N1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Y)))), Z), Q1=d(d(2, d(1, O1)), d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(G1, d(J1, X))), X), E1=d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(B1, d(C1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, V)))), Z))))), Y))))), Z))))))), Z)))))), A1)))), R)))))), S)), V=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(B1, d(C1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(P, F1)))), Y))))), Z))))))), Z)))))), A1)))), R)))))), S), A1=d(Q1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(Q1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(Q1, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L1, d(F1, Q1))))), Z))), d(d(2, d(1, M1)), d(Q1, d(d(3, d(3, d(1, R1))), R1))))))), Z)), X), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R1=d(P1, d(d(2, d(1, d(d(2, d(G1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), Z))), X))), d(3, d(I1, d(d(2, d(G1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I1, d(d(2, d(1, d(2, d(G1, d(H1, d(d(2, d(1, d(2, d(L1, Y)))), Z)))))), Z)))))), Y)))), Z))), X)))))]).
mm_proof('4cases', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), E)))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), E))))-[H=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), K=d(2, d(I, P)), Q=d(3, d(K, R)), N=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, P))))), S))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), 3), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), G=d(d(d(2, d(1, 2)), 1), K), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), T)), L=d(d(2, 1), 1), S=d(H, L), U=d(H, d(d(2, d(1, T)), R)), R=d(I, S), O=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), S)))), U)))), S)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), U)))), S), V=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(I, d(d(2, d(1, d(2, R))), L))), L), E=d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, W)))), d(F, d(G, W)))), W=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, 1)), d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, V))))), S))), d(d(2, d(1, N)), d(V, d(d(3, d(3, d(1, X))), X))))))), S)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O), X=d(T, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), S))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, U)))), S)))))), S)))))), U)))), S))), L)))))]).
mm_proof('4casesdan', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), E)))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), E))))-[H=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), K=d(2, d(I, P)), Q=d(3, d(K, R)), N=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, P))))), S))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), 3), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), G=d(d(d(2, d(1, 2)), 1), K), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), T)), L=d(d(2, 1), 1), S=d(H, L), U=d(H, d(d(2, d(1, T)), R)), R=d(I, S), O=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), S)))), U)))), S)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), U)))), S), V=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(I, d(d(2, d(1, d(2, R))), L))), L), E=d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, W)))), d(F, d(G, W)))), W=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, 1)), X)))))), O))))), S)))), X)))))), O), X=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, V))))), S))), d(d(2, d(1, N)), d(V, d(d(3, d(3, d(1, Y))), Y))))))), S)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(T, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), S))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(M, U)))), S)))))), S)))))), U)))), S))), L)))))]).
mm_proof(dedlem0a, d(d(A, d(B, C)), d(d(D, d(d(2, d(1, d(A, E))), d(A, F))), d(d(2, d(1, d(A, d(B, F)))), d(A, d(B, E)))))-[G=d(1, 1), H=d(2, G), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, D))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), Z=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q)), D=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), X)))), Q), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, B1))), B1))), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, A))))), Q))), A1)))), Q)), M), C1=d(A, C), B1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, A1)))))))), Q))), d(I, d(2, d(1, A))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, D)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), W)))), Q))))), E=d(C1, d(d(2, d(1, d(d(2, d(1, d(A, d(d(D, B), B)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, G))))), Q))), R)))), Q)), M)))), 1)), F=d(C1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), X)))), Q)))))), Q))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Z)))), Q))))), Q)), M))]).
mm_proof(dedlem0b, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, I))))), F))), d(d(2, d(1, J)), d(I, d(d(3, d(3, d(1, K))), K))))))), F)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), M)))), F)))), G)))), F)))))), F))))), H)))))), N)))), F)))))), F)))))), F))), d(d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, F))))), d(1, P)))), d(B, d(O, N))))))), F)), L)-[B=d(2, d(1, 1)), O=d(2, d(1, 2)), C=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, d(E, L))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), E=d(2, d(C, Q)), R=d(3, d(E, S)), J=d(3, d(E, d(d(2, d(1, d(2, d(C, d(D, Q))))), F))), L=d(d(2, 1), 1), F=d(B, L), N=d(B, S), G=d(B, d(d(2, d(1, T)), S)), S=d(C, F), M=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), G)))), F)), P=d(d(2, d(1, d(2, L))), F), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), G)))), F), I=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(C, d(d(2, d(1, d(2, S))), L))), L), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), L))), d(3, d(E, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(A, G)))), F)))))), F)))))), G)))), F))), L)))))]).
mm_proof(dedlema, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(d(2, d(1, d(2, d(d(2, d(C, d(D, d(d(2, d(d(2, d(1, 2)), d(B, d(1, d(d(2, d(1, E)), F))))), d(C, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(B, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, J))))), K)))), F)))), L)))), F)))))), F))))), M)))))), F)))), F))))), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O)))), F)))))), F))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(N, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), H))), J))))), K)))), F))))), F)), O)-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(I, O))))), D=d(2, d(1, d(2, Q))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), L)))), F)))))), F))))), M))), I=d(2, d(C, S)), T=d(3, d(I, Q)), R=d(3, d(I, d(d(2, d(1, d(2, d(C, d(G, S))))), F))), O=d(d(2, 1), 1), F=d(B, O), L=d(B, d(d(2, d(1, U)), Q)), Q=d(C, F), K=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), F)))), L)))), F)), H=d(D, F), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), L)))), F), N=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(C, d(D, O))), O), P=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, N))))), F))), d(d(2, d(1, R)), d(N, d(d(3, d(3, d(1, V))), V))))))), F)), O), M=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(N, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), F))), O))), d(3, d(I, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(A, L)))), F)))))), F)))))), L)))), F))), O)))))]).
mm_proof(dedlemb, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(d(2, d(1, d(2, d(d(2, d(C, d(D, d(d(2, d(d(2, d(1, 2)), d(B, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(B, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(C, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, H))))), I)))), J)))), K)))), J)))))), J))))), L)))))), J)))), J))))), d(C, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, G)), J))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), N)))), J)))))), J))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(M, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1))), H))))), I)))), J))))), J)), N)-[B=d(2, d(1, 1)), C=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(E, N))))), D=d(2, d(1, d(2, P))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), G=d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(C, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L))), E=d(2, d(C, R)), S=d(3, d(E, P)), Q=d(3, d(E, d(d(2, d(1, d(2, d(C, d(F, R))))), J))), N=d(d(2, 1), 1), J=d(B, N), K=d(B, d(d(2, d(1, T)), P)), P=d(C, J), I=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), J)))), K)))), J)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), K)))), J), M=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(C, d(D, N))), N), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, M))))), J))), d(d(2, d(1, Q)), d(M, d(d(3, d(3, d(1, U))), U))))))), J)), N), L=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(M, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(T, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), N))), d(3, d(E, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(C, d(F, d(d(2, d(1, d(2, d(A, K)))), J)))))), J)))))), K)))), J))), N)))))]).
mm_proof(cases2, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(1, 1), G=d(1, d(d(2, d(1, H)), I)), J=d(1, K), L=d(2, F), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, V))))), W)))), X=d(2, d(1, d(2, B))), R=d(2, d(1, Y)), Z=d(2, d(1, C)), H=d(2, d(1, A1)), B1=d(2, d(1, C1)), D1=d(2, d(1, E1)), F1=d(2, d(1, G1)), H1=d(2, d(1, d(C, d(A, I1)))), J1=d(2, d(1, d(C, d(A, K1)))), L1=d(2, d(1, M1)), N1=d(2, d(1, O1)), P1=d(2, d(1, Q1)), R1=d(2, d(M, d(L, d(1, d(B1, Y))))), S1=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, I))))), d(1, T1)))), U1=d(2, d(N, V1)), W1=d(3, d(U1, T)), X1=d(3, d(U1, d(d(2, d(1, d(2, d(N, d(O, V1))))), I))), Y=d(d(2, 1), 1), Y1=d(L, 1), I=d(L, Y), Z1=d(L, A2), B2=d(L, C2), T=d(N, I), W=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T1))), B2)))), I)), B=d(d(2, d(1, d(2, d(1, d(X1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W), T1=d(d(2, d(1, d(2, Y))), I), D2=d(S, I), V1=d(d(2, d(1, d(2, d(d(2, d(1, R)), B2)))), I), C=d(d(2, d(1, W1)), d(W1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E2=d(d(2, d(1, X1)), d(C, d(d(3, d(3, d(1, F2))), F2))), A1=d(d(2, d(1, d(3, d(U1, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), B2)))), I)))))), I))))), G2), H2=d(d(2, d(1, d(3, d(U1, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, I)))), B2)))), I)))))), I))))), G2), A2=d(d(2, d(1, d(3, d(U1, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, V))))), W)))), I)))), B2)))), I)))))), I))))), G2), C2=d(d(2, d(1, I2)), T), K=d(D1, 1), C1=d(D1, D2), I2=d(d(2, d(N, d(S, Y))), Y), J2=d(d(2, d(N, d(S, d(d(2, d(M, d(L, J))), d(N, d(O, d(d(2, d(1, B1)), K2))))))), Y), P=d(U1, Y), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(L, C))))), I))), E2)))), I)), Y), G2=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K2=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(C, L2), E1=d(C, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(C, M2), N2=d(C, d(A, O2)), P2=d(C, d(A, Q2)), R2=d(C, d(A, S2)), M1=d(C, d(A, T2)), U2=d(C, V2), W2=d(C, d(d(B, d(d(2, d(1, d(C, X2))), d(C, Y2))), d(d(2, d(1, d(C, d(A, Y2)))), d(C, d(A, X2))))), Z2=d(C, I1), O1=d(C, O2), A3=d(C, Q2), Q1=d(C, S2), B3=d(C, K1), C3=d(C, T2), D3=d(d(P1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(L, F))))), I))), T1)))), I)), Y)), d(E1, Y)), F2=d(I2, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B2)))), I))), Y))), d(3, d(U1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U1, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(X, B2)))), I)))))), I)))))), B2)))), I))), Y))))), L2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(A, V2), E3=d(A, d(d(B, d(d(2, d(1, d(C, F3))), Z2)), d(H1, d(C, d(A, F3))))), X2=d(A, d(d(B, d(d(2, d(1, d(C, G3))), B3)), d(J1, d(C, d(A, G3))))), H3=d(A, d(d(B, d(d(2, d(1, d(C, I3))), d(C, D3))), d(d(2, d(1, d(C, d(A, D3)))), d(C, d(A, I3))))), V2=d(d(B, H2), H2), J3=d(d(B, d(F1, d(C, K3))), d(d(2, d(1, d(C, d(A, K3)))), d(C, d(A, M2)))), D=d(d(B, d(d(2, d(1, d(C, E3))), d(C, H3))), d(d(2, d(1, d(C, d(A, H3)))), d(C, d(A, E3)))), L3=d(d(B, d(d(2, d(1, d(C, J3))), U2)), d(F1, d(C, d(A, J3)))), E=d(d(B, d(d(2, d(1, d(C, L3))), d(C, M3))), d(d(2, d(1, d(C, d(A, M3)))), d(C, d(A, L3)))), F3=d(d(B, d(d(2, d(1, d(C, N3))), O1)), d(d(2, d(1, N2)), d(C, d(A, N3)))), Y2=d(d(B, d(d(2, d(1, d(C, O3))), d(C, P3))), d(d(2, d(1, d(C, d(A, P3)))), d(C, d(A, O3)))), G3=d(d(B, d(d(2, d(1, d(C, Q3))), Q1)), d(d(2, d(1, R2)), d(C, d(A, Q3)))), N3=d(d(B, d(N1, Z2)), d(H1, N2)), O3=d(d(B, d(d(2, d(1, d(C, R3))), A3)), d(d(2, d(1, P2)), d(C, d(A, R3)))), Q3=d(d(B, d(P1, B3)), d(J1, R2)), I1=d(d(B, d(d(2, d(N, d(S, d(R1, d(N, d(O, d(d(2, d(1, d(2, d(1, d(N1, d(B1, U2)))))), K2))))))), Y)), d(d(2, d(N, d(S, d(R1, d(N, d(O, d(d(2, d(1, d(2, d(1, d(N1, d(B1, G1)))))), K2))))))), Y)), O2=d(d(B, J2), J2), S3=d(d(B, P), C2), Q2=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(L, d(M, d(2, d(1, E2)))))))), I))), d(M, Z))))), I)), Y)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, B)))), d(S1, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y1)))), I)))))), d(S1, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E2))), Y1)))), I))))), R3=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(L, d(N, d(Z, T3))))))), I))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Z, d(P1, T3))))), I)))), I)))))), I)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(L, d(N, d(Z, Y))))))), I))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Z, d(P1, Y))))), I)))), I)))))), I)), Y)), S2=d(d(B, A), A), I3=d(d(B, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(L, d(d(2, d(1, d(2, d(Q, d(L, K))))), I)))))), I))), d(d(2, d(1, d(2, d(Q, d(L, C1))))), I))), Y)), d(d(2, d(1, d(2, d(d(2, d(N, d(S, d(d(2, d(M, d(L, d(1, d(d(2, d(1, d(2, A1))), I))))), d(N, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, A2))), I))))), K2))))))), Y)))), I)), K1=d(d(B, d(P2, d(d(B, d(d(2, d(1, d(C, U3))), C3)), d(L1, d(C, d(A, U3)))))), d(P2, d(d(B, d(d(2, d(1, d(C, V3))), C3)), d(L1, d(C, d(A, V3)))))), T3=d(P2, d(d(B, d(d(2, d(1, d(C, W3))), d(C, X3))), d(d(2, d(1, d(C, d(A, X3)))), d(C, d(A, W3))))), K3=d(W2, d(1, d(A3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(L, d(d(2, d(1, d(2, d(d(2, d(N, d(S, d(d(2, d(M, d(L, G))), d(N, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D2))), Z1)))), I)))), I))))), K2))))))), Y)))), I)))))), I))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, V))))), W)))), I))))), I)), Y)))), M3=d(W2, d(1, d(A3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(L, d(d(2, d(1, d(2, d(d(2, d(N, d(S, d(d(2, d(M, d(L, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, Z1)))), I)))), I))))), d(N, d(O, d(d(2, d(1, d(2, G))), K2))))))), Y)))), I)))))), I))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, J), V))))), W)))), I))))), I)), Y)))), U3=d(A3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V3=d(A3, d(1, L2)), Y3=d(A3, d(1, d(A, S3))), W3=d(A3, d(1, S3)), P3=d(A3, d(1, R3)), T2=d(A3, Y), X3=d(A3, d(P2, d(d(B, d(d(2, d(1, C3)), d(C, Y3))), d(d(2, d(1, d(C, d(A, Y3)))), M1))))]).
mm_proof(dfbi3, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, 1), G=d(1, d(d(2, d(1, H)), I)), J=d(1, K), L=d(2, F), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, X))))), Y)))), Z=d(2, d(1, d(2, A))), R=d(2, d(1, T)), A1=d(2, d(1, B)), H=d(2, d(1, B1)), C1=d(2, d(1, D1)), E1=d(2, d(1, F1)), G1=d(2, d(1, H1)), I1=d(2, d(1, d(B, d(E, J1)))), K1=d(2, d(1, d(B, d(E, L1)))), M1=d(2, d(1, N1)), O1=d(2, d(1, P1)), Q1=d(2, d(1, R1)), S1=d(2, d(M, d(L, d(1, d(C1, T))))), T1=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, I))))), d(1, U1)))), V1=d(2, d(N, W1)), X1=d(3, d(V1, V)), Y1=d(3, d(V1, d(d(2, d(1, d(2, d(N, d(O, W1))))), I))), T=d(d(2, 1), 1), Z1=d(L, 1), I=d(L, T), A2=d(L, B2), C2=d(L, D2), V=d(N, I), Y=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), C2)))), I)), A=d(d(2, d(1, d(2, d(1, d(Y1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), U1=d(S, I), E2=d(U, I), W1=d(d(2, d(1, d(2, d(d(2, d(1, R)), C2)))), I), B=d(d(2, d(1, X1)), d(X1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F2=d(d(2, d(1, Y1)), G2), B1=d(d(2, d(1, d(3, d(V1, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), C2)))), I)))))), I))))), H2), I2=d(d(2, d(1, d(3, d(V1, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, I)))), C2)))), I)))))), I))))), H2), B2=d(d(2, d(1, d(3, d(V1, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, X))))), Y)))), I)))), C2)))), I)))))), I))))), H2), D2=d(d(2, d(1, J2)), V), K=d(E1, 1), D1=d(E1, E2), J2=d(d(2, d(N, d(U, T))), T), K2=d(d(2, d(N, d(U, d(d(2, d(M, d(L, J))), d(N, d(O, d(d(2, d(1, C1)), L2))))))), T), P=d(V1, T), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, B))))), I))), F2)))), I)), T), M2=d(d(3, d(3, d(1, N2))), N2), H2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G2=d(B, M2), X=d(B, O2), F1=d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(B, P2), Q2=d(B, d(E, R2)), S2=d(B, d(E, T2)), U2=d(B, d(E, V2)), N1=d(B, d(E, W2)), X2=d(B, Y2), Z2=d(B, d(d(A, d(d(2, d(1, d(B, A3))), d(B, B3))), d(d(2, d(1, d(B, d(E, B3)))), d(B, d(E, A3))))), C3=d(B, J1), P1=d(B, R2), D3=d(B, T2), R1=d(B, V2), E3=d(B, L1), F3=d(B, W2), G3=d(d(Q1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, F))))), I))), U1)))), I)), T)), d(F1, T)), N2=d(J2, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C2)))), I))), T))), d(3, d(V1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V1, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Z, C2)))), I)))))), I)))))), C2)))), I))), T))))), O2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H3=d(E, d(E, d(d(A, d(d(2, d(1, d(B, I3))), d(B, J3))), d(d(2, d(1, d(B, d(E, J3)))), d(B, d(E, I3)))))), P2=d(E, Y2), K3=d(E, d(d(A, d(d(2, d(1, d(B, L3))), C3)), d(I1, d(B, d(E, L3))))), A3=d(E, d(d(A, d(d(2, d(1, d(B, M3))), E3)), d(K1, d(B, d(E, M3))))), N3=d(E, d(d(A, d(d(2, d(1, d(B, O3))), d(B, G3))), d(d(2, d(1, d(B, d(E, G3)))), d(B, d(E, O3))))), Y2=d(d(A, I2), I2), D=d(d(A, d(d(2, d(1, X)), G2)), d(d(2, d(1, d(B, d(E, M2)))), d(B, d(E, O2)))), C=d(d(A, d(d(2, d(1, d(B, H3))), d(B, P3))), d(d(2, d(1, d(B, d(E, P3)))), d(B, d(E, H3)))), Q3=d(d(A, d(G1, d(B, R3))), d(d(2, d(1, d(B, d(E, R3)))), d(B, d(E, P2)))), I3=d(d(A, d(d(2, d(1, d(B, K3))), d(B, N3))), d(d(2, d(1, d(B, d(E, N3)))), d(B, d(E, K3)))), S3=d(d(A, d(d(2, d(1, d(B, Q3))), X2)), d(G1, d(B, d(E, Q3)))), J3=d(d(A, d(d(2, d(1, d(B, S3))), d(B, T3))), d(d(2, d(1, d(B, d(E, T3)))), d(B, d(E, S3)))), L3=d(d(A, d(d(2, d(1, d(B, U3))), P1)), d(d(2, d(1, Q2)), d(B, d(E, U3)))), B3=d(d(A, d(d(2, d(1, d(B, V3))), d(B, W3))), d(d(2, d(1, d(B, d(E, W3)))), d(B, d(E, V3)))), M3=d(d(A, d(d(2, d(1, d(B, X3))), R1)), d(d(2, d(1, U2)), d(B, d(E, X3)))), U3=d(d(A, d(O1, C3)), d(I1, Q2)), V3=d(d(A, d(d(2, d(1, d(B, Y3))), D3)), d(d(2, d(1, S2)), d(B, d(E, Y3)))), X3=d(d(A, d(Q1, E3)), d(K1, U2)), J1=d(d(A, d(d(2, d(N, d(U, d(S1, d(N, d(O, d(d(2, d(1, d(2, d(1, d(O1, d(C1, X2)))))), L2))))))), T)), d(d(2, d(N, d(U, d(S1, d(N, d(O, d(d(2, d(1, d(2, d(1, d(O1, d(C1, H1)))))), L2))))))), T)), R2=d(d(A, K2), K2), Z3=d(d(A, P), D2), T2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(M, d(2, d(1, F2)))))))), I))), d(M, A1))))), I)), T)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, A)))), d(T1, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Z1)))), I)))))), d(T1, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F2))), Z1)))), I))))), Y3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(N, d(A1, A4))))))), I))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(Q1, A4))))), I)))), I)))))), I)), T)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(N, d(A1, T))))))), I))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(Q1, T))))), I)))), I)))))), I)), T)), V2=d(d(A, E), E), O3=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(L, d(d(2, d(1, d(2, d(Q, d(L, K))))), I)))))), I))), d(d(2, d(1, d(2, d(Q, d(L, D1))))), I))), T)), d(d(2, d(1, d(2, d(d(2, d(N, d(U, d(d(2, d(M, d(L, d(1, d(d(2, d(1, d(2, B1))), I))))), d(N, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, B2))), I))))), L2))))))), T)))), I)), L1=d(d(A, d(S2, d(d(A, d(d(2, d(1, d(B, B4))), F3)), d(M1, d(B, d(E, B4)))))), d(S2, d(d(A, d(d(2, d(1, d(B, C4))), F3)), d(M1, d(B, d(E, C4)))))), A4=d(S2, d(d(A, d(d(2, d(1, d(B, D4))), d(B, E4))), d(d(2, d(1, d(B, d(E, E4)))), d(B, d(E, D4))))), P3=d(Z2, d(1, d(d(A, d(N, d(O, d(d(2, d(1, d(2, d(S, C2)))), I)))), 3))), R3=d(Z2, d(1, d(D3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(d(2, d(1, d(2, d(d(2, d(N, d(U, d(d(2, d(M, d(L, G))), d(N, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E2))), A2)))), I)))), I))))), L2))))))), T)))), I)))))), I))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, X))))), Y)))), I))))), I)), T)))), T3=d(Z2, d(1, d(D3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(d(2, d(1, d(2, d(d(2, d(N, d(U, d(d(2, d(M, d(L, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, A2)))), I)))), I))))), d(N, d(O, d(d(2, d(1, d(2, G))), L2))))))), T)))), I)))))), I))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, J), X))))), Y)))), I))))), I)), T)))), B4=d(D3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C4=d(D3, d(1, O2)), F4=d(D3, d(1, d(E, Z3))), D4=d(D3, d(1, Z3)), W3=d(D3, d(1, Y3)), W2=d(D3, T), E4=d(D3, d(S2, d(d(A, d(d(2, d(1, F3)), d(B, F4))), d(d(2, d(1, d(B, d(E, F4)))), N1))))]).
mm_proof('pm5.24', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, 1), G=d(1, d(d(2, d(1, H)), I)), J=d(1, K), L=d(2, F), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, X))))), Y)))), Z=d(2, d(1, d(2, A))), R=d(2, d(1, T)), A1=d(2, d(1, B)), H=d(2, d(1, B1)), C1=d(2, d(1, D1)), E1=d(2, d(1, F1)), G1=d(2, d(1, H1)), I1=d(2, d(1, d(B, d(E, J1)))), K1=d(2, d(1, d(B, d(E, L1)))), M1=d(2, d(1, d(B, N1))), O1=d(2, d(1, d(B, d(E, P1)))), Q1=d(2, d(1, d(B, d(E, R1)))), S1=d(2, d(1, T1)), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), Y1=d(2, d(M, d(L, d(1, d(C1, T))))), Z1=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, I))))), d(1, A2)))), B2=d(2, d(N, C2)), D2=d(3, d(B2, V)), E2=d(3, d(B2, d(d(2, d(1, d(2, d(N, d(O, C2))))), I))), T=d(d(2, 1), 1), F2=d(L, 1), I=d(L, T), G2=d(L, H2), I2=d(L, J2), V=d(N, I), Y=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A2))), I2)))), I)), A=d(d(2, d(1, d(2, d(1, d(E2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), A2=d(S, I), K2=d(U, I), C2=d(d(2, d(1, d(2, d(d(2, d(1, R)), I2)))), I), B=d(d(2, d(1, D2)), d(D2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L2=d(d(2, d(1, E2)), M2), B1=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), I2)))), I)))))), I))))), N2), O2=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, I)))), I2)))), I)))))), I))))), N2), H2=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, X))))), Y)))), I)))), I2)))), I)))))), I))))), N2), J2=d(d(2, d(1, P2)), V), K=d(E1, 1), D1=d(E1, K2), P2=d(d(2, d(N, d(U, T))), T), Q2=d(d(2, d(N, d(U, d(d(2, d(M, d(L, J))), d(N, d(O, d(d(2, d(1, C1)), R2))))))), T), P=d(B2, T), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, B))))), I))), L2)))), I)), T), S2=d(d(3, d(3, d(1, T2))), T2), N2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(B, S2), X=d(B, U2), F1=d(B, V2), W2=d(B, d(E, X2)), H1=d(B, X2), Y2=d(B, d(E, Z2)), A3=d(B, d(E, B3)), C3=d(B, d(E, D3)), E3=d(B, d(E, F3)), T1=d(B, d(E, G3)), H3=d(B, I3), J3=d(B, J1), K3=d(B, d(d(A, d(d(2, d(1, d(B, L3))), d(B, M3))), d(d(2, d(1, d(B, d(E, M3)))), d(B, d(E, L3))))), N3=d(B, L1), V1=d(B, Z2), O3=d(B, P3), Q3=d(B, B3), R3=d(B, S3), X1=d(B, D3), T3=d(B, P1), U3=d(B, R1), V3=d(B, F3), W3=d(B, G3), X3=d(d(W1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, F))))), I))), A2)))), I)), T)), d(F1, T)), T2=d(P2, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I2)))), I))), T))), d(3, d(B2, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B2, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Z, I2)))), I)))))), I)))))), I2)))), I))), T))))), U2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y3=d(E, d(E, d(d(A, d(d(2, d(1, d(B, Z3))), d(B, A4))), d(d(2, d(1, d(B, d(E, A4)))), d(B, d(E, Z3)))))), X2=d(E, I3), B4=d(E, d(d(A, d(d(2, d(1, d(B, C4))), d(B, D4))), d(d(2, d(1, d(B, d(E, D4)))), d(B, d(E, C4))))), E4=d(E, d(d(A, d(d(2, d(1, d(B, F4))), N3)), d(K1, d(B, d(E, F4))))), L3=d(E, d(d(A, d(d(2, d(1, d(B, G4))), T3)), d(O1, d(B, d(E, G4))))), H4=d(E, d(d(A, d(d(2, d(1, d(B, I4))), d(B, X3))), d(d(2, d(1, d(B, d(E, X3)))), d(B, d(E, I4))))), C=d(E, d(d(A, d(d(2, d(1, d(B, J4))), O3)), d(M1, d(B, d(E, J4))))), C4=d(E, d(d(A, d(d(2, d(1, d(B, K4))), O3)), d(M1, d(B, d(E, K4))))), N1=d(E, P3), D4=d(E, d(R3, V2)), D=d(E, d(R3, d(d(A, d(d(2, d(1, d(B, L4))), J3)), d(I1, d(B, d(E, L4)))))), I3=d(d(A, O2), O2), J1=d(d(A, d(d(2, d(1, X)), M2)), d(d(2, d(1, d(B, d(E, S2)))), d(B, d(E, U2)))), L4=d(d(A, d(d(2, d(1, d(B, Y3))), d(B, M4))), d(d(2, d(1, d(B, d(E, M4)))), d(B, d(E, Y3)))), N4=d(d(A, d(G1, U3)), d(Q1, W2)), O4=d(d(A, d(G1, d(B, P4))), d(d(2, d(1, d(B, d(E, P4)))), W2)), Q4=d(d(A, d(d(2, d(1, d(B, B4))), d(B, R4))), d(d(2, d(1, d(B, d(E, R4)))), d(B, d(E, B4)))), Z3=d(d(A, d(d(2, d(1, d(B, E4))), d(B, H4))), d(d(2, d(1, d(B, d(E, H4)))), d(B, d(E, E4)))), S4=d(d(A, d(d(2, d(1, d(B, N4))), H3)), d(G1, d(B, d(E, N4)))), T4=d(d(A, d(d(2, d(1, d(B, O4))), H3)), d(G1, d(B, d(E, O4)))), R4=d(d(A, d(d(2, d(1, d(B, S4))), U3)), d(Q1, d(B, d(E, S4)))), A4=d(d(A, d(d(2, d(1, d(B, T4))), d(B, U4))), d(d(2, d(1, d(B, d(E, U4)))), d(B, d(E, T4)))), F4=d(d(A, d(d(2, d(1, d(B, V4))), V1)), d(d(2, d(1, Y2)), d(B, d(E, V4)))), M3=d(d(A, d(d(2, d(1, d(B, W4))), d(B, X4))), d(d(2, d(1, d(B, d(E, X4)))), d(B, d(E, W4)))), G4=d(d(A, d(d(2, d(1, d(B, Y4))), X1)), d(d(2, d(1, C3)), d(B, d(E, Y4)))), Z4=d(d(A, d(d(2, d(1, d(B, A5))), V3)), d(d(2, d(1, E3)), d(B, d(E, A5)))), V4=d(d(A, d(U1, N3)), d(K1, Y2)), W4=d(d(A, d(d(2, d(1, R3)), Q3)), d(d(2, d(1, A3)), d(B, d(E, S3)))), Y4=d(d(A, d(W1, T3)), d(O1, C3)), A5=d(d(A, d(d(2, d(1, d(B, B5))), O3)), d(M1, d(B, d(E, B5)))), L1=d(d(A, d(d(2, d(N, d(U, d(Y1, d(N, d(O, d(d(2, d(1, d(2, d(1, d(U1, d(C1, H3)))))), R2))))))), T)), d(d(2, d(N, d(U, d(Y1, d(N, d(O, d(d(2, d(1, d(2, d(1, d(U1, d(C1, H1)))))), R2))))))), T)), Z2=d(d(A, Q2), Q2), P3=d(d(A, P), J2), B3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(M, d(2, d(1, L2)))))))), I))), d(M, A1))))), I)), T)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, A)))), d(Z1, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), F2)))), I)))))), d(Z1, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L2))), F2)))), I))))), S3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(N, d(A1, C5))))))), I))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(W1, C5))))), I)))), I)))))), I)), T)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(N, d(A1, T))))))), I))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(W1, T))))), I)))), I)))))), I)), T)), D3=d(d(A, E), E), I4=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(L, d(d(2, d(1, d(2, d(Q, d(L, K))))), I)))))), I))), d(d(2, d(1, d(2, d(Q, d(L, D1))))), I))), T)), d(d(2, d(1, d(2, d(d(2, d(N, d(U, d(d(2, d(M, d(L, d(1, d(d(2, d(1, d(2, B1))), I))))), d(N, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, H2))), I))))), R2))))))), T)))), I)), P1=d(d(A, d(A3, d(d(A, d(d(2, d(1, d(B, D5))), W3)), d(S1, d(B, d(E, D5)))))), d(A3, d(d(A, d(d(2, d(1, d(B, E5))), W3)), d(S1, d(B, d(E, E5)))))), C5=d(A3, d(d(A, d(d(2, d(1, V3)), d(B, F5))), d(d(2, d(1, d(B, d(E, F5)))), E3))), M4=d(K3, d(1, d(d(A, d(N, d(O, d(d(2, d(1, d(2, d(S, I2)))), I)))), 3))), R1=d(K3, d(1, Z4)), P4=d(K3, d(1, d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(d(2, d(1, d(2, d(d(2, d(N, d(U, d(d(2, d(M, d(L, G))), d(N, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K2))), G2)))), I)))), I))))), R2))))))), T)))), I)))))), I))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, X))))), Y)))), I))))), I)), T)))), U4=d(K3, d(1, d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(L, d(d(2, d(1, d(2, d(d(2, d(N, d(U, d(d(2, d(M, d(L, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, G2)))), I)))), I))))), d(N, d(O, d(d(2, d(1, d(2, G))), R2))))))), T)))), I)))))), I))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, J), X))))), Y)))), I))))), I)), T)))), D5=d(Q3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E5=d(Q3, d(1, U2)), G5=d(Q3, d(1, N1)), F3=d(Q3, d(1, P3)), X4=d(Q3, d(1, S3)), G3=d(Q3, T), F5=d(Q3, d(A3, d(d(A, d(d(2, d(1, W3)), d(B, G5))), d(d(2, d(1, d(B, d(E, G5)))), T1)))), B5=d(R3, U2), J4=d(R3, d(E, d(d(A, d(d(2, d(1, d(B, Q4))), J3)), d(I1, d(B, d(E, Q4)))))), K4=d(R3, d(E, Z4))]).
mm_proof('4exmid', d(A, d(B, d(d(C, d(d(2, d(1, d(B, D))), d(B, E))), d(d(2, d(1, d(B, d(F, E)))), d(B, d(F, D))))))-[G=d(1, 1), H=d(1, d(d(2, d(1, I)), J)), K=d(1, L), M=d(2, G), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, W))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, Y))))), Z)))), A1=d(2, d(1, d(2, C))), S=d(2, d(1, U)), B1=d(2, d(1, B)), I=d(2, d(1, C1)), D1=d(2, d(1, E1)), F1=d(2, d(1, A)), G1=d(2, d(1, H1)), I1=d(2, d(1, d(B, d(F, J1)))), K1=d(2, d(1, d(B, d(F, L1)))), M1=d(2, d(1, d(B, N1))), O1=d(2, d(1, d(B, d(F, P1)))), Q1=d(2, d(1, d(B, d(F, R1)))), S1=d(2, d(1, T1)), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), Y1=d(2, d(N, d(M, d(1, d(D1, U))))), Z1=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, A2)))), B2=d(2, d(O, C2)), D2=d(3, d(B2, W)), E2=d(3, d(B2, d(d(2, d(1, d(2, d(O, d(P, C2))))), J))), U=d(d(2, 1), 1), F2=d(M, 1), J=d(M, U), G2=d(M, H2), I2=d(M, J2), W=d(O, J), Z=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A2))), I2)))), J)), C=d(d(2, d(1, d(2, d(1, d(E2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), A2=d(T, J), K2=d(V, J), C2=d(d(2, d(1, d(2, d(d(2, d(1, S)), I2)))), J), B=d(d(2, d(1, D2)), d(D2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L2=d(d(2, d(1, E2)), M2), C1=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I2)))), J)))))), J))))), N2), O2=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, J)))), I2)))), J)))))), J))))), N2), H2=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, Y))))), Z)))), J)))), I2)))), J)))))), J))))), N2), J2=d(d(2, d(1, P2)), W), L=d(F1, 1), E1=d(F1, K2), P2=d(d(2, d(O, d(V, U))), U), Q2=d(d(2, d(O, d(V, d(d(2, d(N, d(M, K))), d(O, d(P, d(d(2, d(1, D1)), R2))))))), U), Q=d(B2, U), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(M, B))))), J))), L2)))), J)), U), S2=d(d(3, d(3, d(1, T2))), T2), N2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(B, S2), Y=d(B, U2), A=d(B, V2), W2=d(B, d(F, X2)), H1=d(B, X2), Y2=d(B, d(F, Z2)), A3=d(B, d(F, B3)), C3=d(B, d(F, D3)), E3=d(B, d(F, F3)), T1=d(B, d(F, G3)), H3=d(B, I3), J3=d(B, J1), K3=d(B, d(d(C, d(d(2, d(1, d(B, L3))), d(B, M3))), d(d(2, d(1, d(B, d(F, M3)))), d(B, d(F, L3))))), N3=d(B, L1), V1=d(B, Z2), O3=d(B, P3), Q3=d(B, B3), R3=d(B, S3), X1=d(B, D3), T3=d(B, P1), U3=d(B, R1), V3=d(B, F3), W3=d(B, G3), X3=d(d(W1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(M, G))))), J))), A2)))), J)), U)), d(A, U)), T2=d(P2, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I2)))), J))), U))), d(3, d(B2, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B2, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(A1, I2)))), J)))))), J)))))), I2)))), J))), U))))), U2=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V2=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y3=d(F, d(F, d(d(C, d(d(2, d(1, d(B, Z3))), d(B, A4))), d(d(2, d(1, d(B, d(F, A4)))), d(B, d(F, Z3)))))), X2=d(F, I3), B4=d(F, d(d(C, d(d(2, d(1, d(B, C4))), d(B, D4))), d(d(2, d(1, d(B, d(F, D4)))), d(B, d(F, C4))))), E4=d(F, d(d(C, d(d(2, d(1, d(B, F4))), N3)), d(K1, d(B, d(F, F4))))), L3=d(F, d(d(C, d(d(2, d(1, d(B, G4))), T3)), d(O1, d(B, d(F, G4))))), H4=d(F, d(d(C, d(d(2, d(1, d(B, I4))), d(B, X3))), d(d(2, d(1, d(B, d(F, X3)))), d(B, d(F, I4))))), D=d(F, d(d(C, d(d(2, d(1, d(B, J4))), O3)), d(M1, d(B, d(F, J4))))), C4=d(F, d(d(C, d(d(2, d(1, d(B, K4))), O3)), d(M1, d(B, d(F, K4))))), N1=d(F, P3), D4=d(F, d(R3, V2)), E=d(F, d(R3, d(d(C, d(d(2, d(1, d(B, L4))), J3)), d(I1, d(B, d(F, L4)))))), I3=d(d(C, O2), O2), J1=d(d(C, d(d(2, d(1, Y)), M2)), d(d(2, d(1, d(B, d(F, S2)))), d(B, d(F, U2)))), L4=d(d(C, d(d(2, d(1, d(B, Y3))), d(B, M4))), d(d(2, d(1, d(B, d(F, M4)))), d(B, d(F, Y3)))), N4=d(d(C, d(G1, U3)), d(Q1, W2)), O4=d(d(C, d(G1, d(B, P4))), d(d(2, d(1, d(B, d(F, P4)))), W2)), Q4=d(d(C, d(d(2, d(1, d(B, B4))), d(B, R4))), d(d(2, d(1, d(B, d(F, R4)))), d(B, d(F, B4)))), Z3=d(d(C, d(d(2, d(1, d(B, E4))), d(B, H4))), d(d(2, d(1, d(B, d(F, H4)))), d(B, d(F, E4)))), S4=d(d(C, d(d(2, d(1, d(B, N4))), H3)), d(G1, d(B, d(F, N4)))), T4=d(d(C, d(d(2, d(1, d(B, O4))), H3)), d(G1, d(B, d(F, O4)))), R4=d(d(C, d(d(2, d(1, d(B, S4))), U3)), d(Q1, d(B, d(F, S4)))), A4=d(d(C, d(d(2, d(1, d(B, T4))), d(B, U4))), d(d(2, d(1, d(B, d(F, U4)))), d(B, d(F, T4)))), F4=d(d(C, d(d(2, d(1, d(B, V4))), V1)), d(d(2, d(1, Y2)), d(B, d(F, V4)))), M3=d(d(C, d(d(2, d(1, d(B, W4))), d(B, X4))), d(d(2, d(1, d(B, d(F, X4)))), d(B, d(F, W4)))), G4=d(d(C, d(d(2, d(1, d(B, Y4))), X1)), d(d(2, d(1, C3)), d(B, d(F, Y4)))), Z4=d(d(C, d(d(2, d(1, d(B, A5))), V3)), d(d(2, d(1, E3)), d(B, d(F, A5)))), V4=d(d(C, d(U1, N3)), d(K1, Y2)), W4=d(d(C, d(d(2, d(1, R3)), Q3)), d(d(2, d(1, A3)), d(B, d(F, S3)))), Y4=d(d(C, d(W1, T3)), d(O1, C3)), A5=d(d(C, d(d(2, d(1, d(B, B5))), O3)), d(M1, d(B, d(F, B5)))), L1=d(d(C, d(d(2, d(O, d(V, d(Y1, d(O, d(P, d(d(2, d(1, d(2, d(1, d(U1, d(D1, H3)))))), R2))))))), U)), d(d(2, d(O, d(V, d(Y1, d(O, d(P, d(d(2, d(1, d(2, d(1, d(U1, d(D1, H1)))))), R2))))))), U)), Z2=d(d(C, Q2), Q2), P3=d(d(C, Q), J2), B3=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(M, d(N, d(2, d(1, L2)))))))), J))), d(N, B1))))), J)), U)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, C)))), d(Z1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), F2)))), J)))))), d(Z1, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L2))), F2)))), J))))), S3=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(M, d(O, d(B1, C5))))))), J))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(W1, C5))))), J)))), J)))))), J)), U)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(M, d(O, d(B1, U))))))), J))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(W1, U))))), J)))), J)))))), J)), U)), D3=d(d(C, F), F), I4=d(d(C, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(M, d(d(2, d(1, d(2, d(R, d(M, L))))), J)))))), J))), d(d(2, d(1, d(2, d(R, d(M, E1))))), J))), U)), d(d(2, d(1, d(2, d(d(2, d(O, d(V, d(d(2, d(N, d(M, d(1, d(d(2, d(1, d(2, C1))), J))))), d(O, d(P, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, H2))), J))))), R2))))))), U)))), J)), P1=d(d(C, d(A3, d(d(C, d(d(2, d(1, d(B, D5))), W3)), d(S1, d(B, d(F, D5)))))), d(A3, d(d(C, d(d(2, d(1, d(B, E5))), W3)), d(S1, d(B, d(F, E5)))))), C5=d(A3, d(d(C, d(d(2, d(1, V3)), d(B, F5))), d(d(2, d(1, d(B, d(F, F5)))), E3))), M4=d(K3, d(1, d(d(C, d(O, d(P, d(d(2, d(1, d(2, d(T, I2)))), J)))), 3))), R1=d(K3, d(1, Z4)), P4=d(K3, d(1, d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(M, d(d(2, d(1, d(2, d(d(2, d(O, d(V, d(d(2, d(N, d(M, H))), d(O, d(P, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K2))), G2)))), J)))), J))))), R2))))))), U)))), J)))))), J))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, Y))))), Z)))), J))))), J)), U)))), U4=d(K3, d(1, d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(M, d(d(2, d(1, d(2, d(d(2, d(O, d(V, d(d(2, d(N, d(M, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, G2)))), J)))), J))))), d(O, d(P, d(d(2, d(1, d(2, H))), R2))))))), U)))), J)))))), J))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, K), Y))))), Z)))), J))))), J)), U)))), D5=d(Q3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E5=d(Q3, d(1, U2)), G5=d(Q3, d(1, N1)), F3=d(Q3, d(1, P3)), X4=d(Q3, d(1, S3)), G3=d(Q3, U), F5=d(Q3, d(A3, d(d(C, d(d(2, d(1, W3)), d(B, G5))), d(d(2, d(1, d(B, d(F, G5)))), T1)))), B5=d(R3, U2), J4=d(R3, d(F, d(d(C, d(d(2, d(1, d(B, Q4))), J3)), d(I1, d(B, d(F, Q4)))))), K4=d(R3, d(F, Z4))]).
mm_proof(consensus, d(d(A, d(d(2, d(B, d(C, d(d(2, d(d(2, d(1, 2)), d(D, E))), d(B, d(F, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H)), I))))), J)))), d(D, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, L)))), M)))), N)))))), N))))), O))), I))))), J)))), N)))), M)))), N)))))), N))))), O)))))), N))), L)), P))), I))))), J))), d(3, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(Q, 1))), I))))), J)))), d(D, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), I))))), J)))), N)))), M)))), N)))))), N))))), O))))), M)))), N)))))), N))))), O))), I))))), J)))), N)))), M)))), N)))))), N))))), O)))))), N))), L)), P))), I))))), J))))))))), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P)), H)-[E=d(1, P), D=d(2, d(1, 1)), B=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(K, P))))), C=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, A))), Q=d(2, d(1, d(R, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), K=d(2, d(B, V)), W=d(3, d(K, S)), X=d(3, d(K, d(d(2, d(1, d(2, d(B, d(F, V))))), N))), P=d(d(2, 1), 1), N=d(D, P), M=d(D, d(d(2, d(1, G)), S)), S=d(B, N), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), N)))), M)))), N)), A=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), M)))), N), R=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), M)))), N)))))), N))))), O), H=d(Q, d(C, N)), G=d(d(2, d(B, d(C, P))), P), U=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(D, R))))), N))), d(d(2, d(1, X)), d(R, d(d(3, d(3, d(1, Y))), Y))))))), N)), P), O=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(R, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(G, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N))), P))), d(3, d(K, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(T, M)))), N)))))), N)))))), M)))), N))), P)))))]).
mm_proof('pm4.42', d(A, d(d(2, d(1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(D, d(E, d(d(2, d(F, d(C, G))), d(D, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), J)))), K)))), K))))), L))))))), M)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(N, I))), O))))), P)))), K))))), K)), M))), d(3, d(Q, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(D, d(E, d(d(2, d(F, d(C, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, J)))), K)))), K))))), d(D, d(H, d(d(2, d(1, d(2, G))), L))))))), M)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(N, 1))), O))))), P)))), K))))), K)), M)))))-[G=d(1, d(d(2, d(1, R)), K)), C=d(2, d(1, 1)), F=d(2, d(1, 2)), D=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(Q, M))))), E=d(2, d(1, d(2, S))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), R=d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(D, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), U)))), K)))))), K))))), V))), N=d(2, d(1, d(W, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Q=d(2, d(D, Y)), Z=d(3, d(Q, S)), T=d(3, d(Q, d(d(2, d(1, d(2, d(D, d(H, Y))))), K))), M=d(d(2, 1), 1), K=d(C, M), J=d(C, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(D, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, O))))), P)))), K)))), U)))), K)))))), K))))), V)), U=d(C, d(d(2, d(1, A)), S)), S=d(D, K), P=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), K)))), U)))), K)), I=d(E, K), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), U)))), K), W=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(D, d(E, M))), M), X=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, W))))), K))), d(d(2, d(1, T)), d(W, d(d(3, d(3, d(1, A1))), A1))))))), K)), M), V=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(W, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(A, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), K))), M))), d(3, d(Q, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(D, d(H, d(d(2, d(1, d(2, d(B, U)))), K)))))), K)))))), U)))), K))), M)))))]).
mm_proof(prlem1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(D, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, L))), d(2, d(1, d(L, d(d(M, N), N))))))))), O))))), O))))), d(P, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), U))))), V)))), O)))), W)))), O)))))), O))))), X))))))), O)))))), W))))), O))))))), O)))))), X))))), O))))))), d(D, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(D, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(D, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(F, d(D, P))))), d(P, T)))))), O)))))), W))))), O))))))), O)))))), X)))), U)))))), V))))), O))))), W))))), O))))))), O)))))), X))))), O)))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), Y)))))), O))))), U))))))), V)-[P=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, Y))))), E=d(2, d(1, d(2, Z))), A1=d(2, d(1, d(2, M))), Q=d(2, d(R, B1)), C1=d(3, d(Q, Z)), D1=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, B1))))), O))), H=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), G=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), R), K=d(d(d(2, d(1, 2)), 1), S), J=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), F), Y=d(d(2, 1), 1), O=d(P, Y), W=d(P, d(d(2, d(1, E1)), Z)), Z=d(R, O), V=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), O)))), W)))), O)), M=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), W)))), O), L=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), W)))), O)))))), O))))), X), E1=d(d(2, d(R, d(E, Y))), Y), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(P, L))))), O))), d(d(2, d(1, D1)), d(L, d(d(3, d(3, d(1, F1))), F1))))))), O)), Y), X=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(L, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), O))), Y))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(A1, W)))), O)))))), O)))))), W)))), O))), Y)))))]).
mm_proof(prlem2, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, A))), O=d(2, d(1, K)), P=d(2, d(1, d(Q, d(L, R)))), Q=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, R))))), d(1, T)))), J=d(2, d(H, U)), V=d(3, d(J, M)), W=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, U))))), R))), K=d(d(2, 1), 1), X=d(F, 1), R=d(F, K), Y=d(F, d(d(2, d(1, Z)), M)), M=d(H, R), A1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Y)))), R)), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), T=d(d(2, d(1, d(2, K))), R), U=d(d(2, d(1, d(2, d(d(2, d(1, O)), Y)))), R), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, C1))))), A1)))), R), B=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, W)), E1), F1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Y)))), R)))))), R))))), G1), H1=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), R)))))), R))))), G1), I1=d(P, F1), Z=d(d(2, d(H, d(L, K))), K), J1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, d(Q, 1))))), d(H, d(I, d(d(2, d(1, P)), K1))))))), K), L1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, d(1, F1)))))), R))), B1)))), R)), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, B))))), R))), D1)))), R)), K), M1=d(d(3, d(3, d(1, N1))), N1), G1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(B, M1), C1=d(B, O1), P1=d(B, Q1), N1=d(Z, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), R))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(N, Y)))), R)))))), R)))))), Y)))), R))), K))))), R1=d(L1, F1), O1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, S1), T1=d(E, d(d(A, d(d(2, d(1, C1)), E1)), d(d(2, d(1, d(B, d(E, M1)))), d(B, d(E, O1))))), S1=d(d(A, H1), H1), U1=d(d(A, d(d(2, d(1, d(B, T1))), d(B, R1))), d(d(2, d(1, d(B, d(E, R1)))), d(B, d(E, T1)))), Q1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, d(G, d(2, d(1, D1)))))))), R))), d(G, d(2, d(1, B))))))), R)), K)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), R)))))), d(S, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), X)))), R))))), D=d(d(B, d(d(A, d(d(2, d(1, d(B, U1))), d(B, V1))), d(d(2, d(1, d(B, d(E, V1)))), d(B, d(E, U1))))), d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, I1)))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(B, d(d(A, J1), J1)))), I1))))), K1))))))), K)), W1=d(P1, d(1, S1)), X1=d(P1, L1), V1=d(P1, d(d(B, d(E, Q1)), d(d(A, d(d(2, d(1, d(B, W1))), d(B, X1))), d(d(2, d(1, d(B, d(E, X1)))), d(B, d(E, W1))))))]).
mm_proof(oplem1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(A, d(B, d(C, d(D, E))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), K), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(I, d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), M), N))))), O))))), O))))), P))))), O))))))), O)))))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), R)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(1, d(S, d(Q, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), T))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(H, d(d(d(d(2, d(1, 2)), 1), C), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, U))))), d(d(d(d(2, d(1, 2)), 1), V), d(D, d(d(d(d(2, d(1, 2)), 1), E), d(Q, d(d(W, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(V, d(Y, d(M, Z))))))), O))), d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, Z))))), O)))), O)))))), O)), A1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(V, d(Y, d(M, A1))))))), O))), d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, A1))))), O)))), O)))))), O)), A1)))))))))))), O))))))), U))))))))), A1))-[V=d(2, d(1, 1)), R=d(2, d(1, 2)), Y=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, B1)))), J=d(2, d(1, d(2, C1))), X=d(2, d(1, d(2, W))), S=d(2, d(1, A1)), M=d(2, d(1, Q)), U=d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), N=d(2, d(1, d(Q, d(d(W, E), E)))), D1=d(2, d(R, d(d(2, d(1, d(2, d(1, d(R, O))))), d(1, E1)))), K=d(2, d(Y, F1)), G1=d(3, d(K, C1)), H1=d(3, d(K, d(d(2, d(1, d(2, d(Y, d(L, F1))))), O))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), F=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), I=d(d(d(2, d(1, 2)), 1), Y), H=d(d(d(2, d(1, 2)), 1), B), G=d(d(d(2, d(1, 2)), 1), F), D=d(d(d(2, d(1, 2)), 1), Q), A1=d(d(2, 1), 1), I1=d(V, 1), O=d(V, A1), P=d(V, J1), C1=d(Y, O), T=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), P)))), O)), W=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T), E1=d(d(2, d(1, d(2, A1))), O), F1=d(d(2, d(1, d(2, d(d(2, d(1, S)), P)))), O), Q=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, H1)), d(Q, d(d(3, d(3, d(1, L1))), L1))), J1=d(d(2, d(1, M1)), C1), M1=d(d(2, d(Y, d(J, A1))), A1), B1=d(K, A1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(V, Q))))), O))), K1)))), O)), A1), N1=d(Q, d(E, O1)), P1=d(Q, O1), L1=d(M1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), O))), A1))), d(3, d(K, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(Y, d(L, d(d(2, d(1, d(2, d(X, P)))), O)))))), O)))))), P)))), O))), A1))))), Q1=d(d(W, B1), J1), O1=d(d(W, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(V, d(R, d(2, d(1, K1)))))))), O))), d(R, M))))), O)), A1)), d(d(2, d(R, d(d(2, d(1, d(2, d(1, W)))), d(D1, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), I1)))), O)))))), d(D1, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), I1)))), O))))), Z=d(N1, d(d(W, d(d(2, d(1, d(Q, R1))), d(Q, S1))), d(d(2, d(1, d(Q, d(E, S1)))), d(Q, d(E, R1))))), T1=d(P1, d(1, d(E, Q1))), R1=d(P1, d(1, Q1)), U1=d(P1, A1), S1=d(P1, d(N1, d(d(W, d(d(2, d(1, d(Q, U1))), d(Q, T1))), d(d(2, d(1, d(Q, d(E, T1)))), d(Q, d(E, U1))))))]).
mm_proof(dn1, d(d(A, d(d(2, d(1, d(B, C))), D)), d(d(2, d(1, d(B, d(E, F)))), d(B, d(E, C))))-[G=d(1, H), I=d(1, J), K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(L, O))))), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, A))), W=d(2, G), X=d(2, d(1, B)), Y=d(2, I), Z=d(2, d(1, A1)), B1=d(2, d(1, d(B, C1))), D1=d(2, d(1, d(B, E1))), F1=d(2, d(1, d(B, d(E, G1)))), H1=d(2, d(1, d(B, I1))), J1=d(2, d(1, d(B, d(E, K1)))), L1=d(2, d(1, d(B, d(E, M1)))), N1=d(2, d(1, d(B, d(E, O1)))), P1=d(2, d(1, Q1)), R1=d(2, d(1, S1)), T1=d(2, d(1, U1)), V1=d(2, d(L, d(K, d(1, d(Z, H))))), W1=d(2, d(L, d(N, d(1, X1)))), Y1=d(2, d(L, d(N, d(L, d(K, G))))), Z1=d(2, d(M, A2)), B2=d(3, d(Z1, S)), C2=d(3, d(Z1, d(d(2, d(1, d(2, d(M, d(P, A2))))), O))), H=d(d(2, 1), 1), D2=d(K, 1), O=d(K, H), E2=d(K, F2), S=d(M, O), G2=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X1))), E2)))), O)), U=d(d(2, d(1, d(2, d(1, d(W, H2))))), G2), A=d(d(2, d(1, d(2, d(1, d(C2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G2), X1=d(d(2, d(1, d(2, H))), O), A2=d(d(2, d(1, d(2, d(d(2, d(1, W)), E2)))), O), I2=d(T, O), J2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, d(T1, H))))), O)))), O), B=d(d(2, d(1, B2)), d(B2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K2=d(d(2, d(1, C2)), L2), J=d(d(2, d(1, d(3, d(Z1, d(d(2, d(1, d(2, d(M, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), E2)))), O)))))), O))))), M2), N2=d(d(2, d(1, d(3, d(Z1, d(d(2, d(1, d(2, d(M, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I2))), E2)))), O)))))), O))))), M2), O2=d(X, H), F2=d(d(2, d(1, P2)), S), A1=d(B1, d(R, O)), P2=d(d(2, d(M, d(R, H))), H), Q2=d(d(2, d(M, d(R, d(d(2, d(L, d(K, d(1, d(B1, 1))))), d(M, d(P, d(d(2, d(1, Z)), R2))))))), H), Q=d(Z1, H), S2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, I))))), O))), I2)))), O)), H), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, B))))), O))), K2)))), O)), H), T2=d(d(3, d(3, d(1, U2))), U2), M2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L2=d(B, T2), H2=d(B, V2), W2=d(B, d(E, E1)), D=d(B, F), X2=d(B, d(E, Y2)), Z2=d(B, d(E, A3)), Q1=d(B, d(E, B3)), C3=d(B, D3), E3=d(B, d(d(A, d(d(2, d(1, d(B, F3))), d(B, G3))), d(d(2, d(1, d(B, d(E, G3)))), d(B, d(E, F3))))), S1=d(B, G1), H3=d(B, I3), J3=d(B, Y2), K3=d(B, L3), U1=d(B, A3), M3=d(B, K1), N3=d(B, M1), O3=d(B, O1), P3=d(B, B3), U2=d(P2, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E2)))), O))), H))), d(3, d(Z1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z1, d(d(2, d(1, d(2, d(M, d(P, d(d(2, d(1, d(2, d(V, E2)))), O)))))), O)))))), E2)))), O))), H))))), Q3=d(S2, J), V2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(E, D3), R3=d(E, d(d(A, d(d(2, d(1, H2)), L2)), d(d(2, d(1, d(B, d(E, T2)))), d(B, d(E, V2))))), S3=d(E, d(d(A, d(d(2, d(1, d(B, T3))), N3)), d(L1, d(B, d(E, T3))))), U3=d(E, d(d(A, d(d(2, d(1, d(B, V3))), O3)), d(N1, d(B, d(E, V3))))), F3=d(E, d(d(A, d(d(2, d(1, d(B, W3))), M3)), d(J1, d(B, d(E, W3))))), C=d(E, d(d(A, d(d(2, d(1, d(B, X3))), d(B, Y3))), d(d(2, d(1, d(B, d(E, Y3)))), d(B, d(E, X3))))), Z3=d(E, A4), F=d(E, B4), I1=d(E, I3), C4=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, d(Y1, d(K, O2))))))), O))), d(Y1, d(K, J2)))))), O)), H), I3), D3=d(d(A, N2), N2), D4=d(d(A, A1), d(d(2, d(M, d(P, R2))), d(1, d(d(B, A4), d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z1, A1))))), E2)))), O))), H))))), E4=d(d(A, d(B1, d(B, C4))), d(d(2, d(1, d(B, d(E, C4)))), d(B, d(E, C1)))), F4=d(d(A, d(D1, N3)), d(L1, W2)), G4=d(d(A, d(D1, O3)), d(N1, W2)), H4=d(d(A, d(d(2, d(1, d(B, R3))), d(B, Q3))), d(d(2, d(1, d(B, d(E, Q3)))), d(B, d(E, R3)))), I4=d(d(A, d(d(2, d(1, d(B, S3))), d(B, J4))), d(d(2, d(1, d(B, d(E, J4)))), d(B, d(E, S3)))), K4=d(d(A, d(d(2, d(1, d(B, U3))), d(B, L4))), d(d(2, d(1, d(B, d(E, L4)))), d(B, d(E, U3)))), T3=d(d(A, d(d(2, d(1, d(B, F4))), C3)), d(D1, d(B, d(E, F4)))), V3=d(d(A, d(d(2, d(1, d(B, G4))), C3)), d(D1, d(B, d(E, G4)))), L4=d(d(A, d(d(2, d(1, d(B, I4))), R2)), d(B1, d(B, d(E, I4)))), M4=d(d(A, d(d(2, d(1, d(B, K4))), S1)), d(F1, d(B, d(E, K4)))), N4=d(d(A, d(d(2, d(1, d(B, M4))), S1)), d(F1, d(B, d(E, M4)))), Y3=d(d(A, d(d(2, d(1, d(B, N4))), d(B, D4))), d(d(2, d(1, d(B, d(E, D4)))), d(B, d(E, N4)))), G3=d(d(A, d(d(2, d(1, d(B, O4))), d(B, P4))), d(d(2, d(1, d(B, d(E, P4)))), d(B, d(E, O4)))), W3=d(d(A, d(d(2, d(1, d(B, Q4))), U1)), d(d(2, d(1, Z2)), d(B, d(E, Q4)))), R4=d(d(A, d(d(2, d(1, d(B, B4))), d(B, S4))), d(d(2, d(1, d(B, d(E, S4)))), D)), O4=d(d(A, d(d(2, d(1, K3)), J3)), d(d(2, d(1, X2)), d(B, d(E, L3)))), Q4=d(d(A, d(T1, M3)), d(J1, Z2)), A4=d(d(A, d(d(2, d(1, d(B, T4))), H3)), d(H1, d(B, d(E, T4)))), B4=d(d(A, d(d(2, d(1, d(B, U4))), H3)), d(H1, d(B, d(E, U4)))), G1=d(d(A, Q2), Q2), I3=d(d(A, Q), F2), Y2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, d(L, d(2, d(1, K2)))))))), O))), d(L, X))))), O)), H)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, A)))), d(W1, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), D2)))), O)))))), d(W1, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K2))), D2)))), O))))), L3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, d(M, d(X, V4))))))), O))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, d(T1, V4))))), O)))), O)))))), O)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, d(M, O2)))))), O))), d(M, J2))))), O)), H)), A3=d(d(A, E), E), J4=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(K, d(2, d(1, d(d(2, d(1, d(3, d(Z1, d(d(2, d(1, d(2, d(M, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, H2))))), G2)))), O)))), E2)))), O)))))), O))))), M2)))))))), O))), Y)), H)), d(d(2, d(1, d(3, d(Z1, d(d(2, d(1, d(2, d(M, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(2, d(1, U)))))), E2)))), O)))))), O))))), M2)), K1=d(d(A, d(X2, d(d(A, d(d(2, d(1, d(B, W4))), P3)), d(P1, d(B, d(E, W4)))))), d(X2, d(d(A, d(d(2, d(1, d(B, X4))), P3)), d(P1, d(B, d(E, X4)))))), V4=d(X2, d(d(A, d(d(2, d(1, d(B, Y4))), d(B, Z4))), d(d(2, d(1, d(B, d(E, Z4)))), d(B, d(E, Y4))))), M1=d(E3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X3=d(E3, d(1, d(d(A, d(d(2, d(M, d(R, d(V1, d(M, d(P, d(d(2, d(1, d(2, d(1, d(R1, d(Z, d(B, R4))))))), R2))))))), H)), d(d(2, d(M, d(R, d(V1, d(M, d(P, d(d(2, d(1, d(2, d(1, d(R1, d(Z, d(B, d(E, R4)))))))), R2))))))), H)))), O1=d(E3, d(1, G1)), S4=d(d(B, d(d(A, d(d(2, d(1, d(B, H4))), d(B, A5))), d(d(2, d(1, d(B, d(E, A5)))), d(B, d(E, H4))))), A1), W4=d(J3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X4=d(J3, d(1, V2)), B5=d(J3, d(1, I1)), C5=d(J3, d(1, D3)), Y4=d(J3, d(1, I3)), P4=d(J3, d(1, L3)), B3=d(J3, H), D5=d(J3, S2), A5=d(J3, d(X2, d(d(A, d(d(2, d(1, d(B, C5))), d(B, D5))), d(d(2, d(1, d(B, d(E, D5)))), d(B, d(E, C5)))))), Z4=d(J3, d(X2, d(d(A, d(d(2, d(1, P3)), d(B, B5))), d(d(2, d(1, d(B, d(E, B5)))), Q1)))), T4=d(K3, V2), U4=d(K3, d(d(A, d(d(2, d(1, d(B, E4))), d(B, Z3))), d(d(2, d(1, d(B, d(E, Z3)))), d(B, d(E, E4)))))]).
mm_proof(bianir, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, D)), d(E, d(d(3, d(3, d(1, F))), F)))))), G)))), H)))), G)))))), G))))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, J))))), A=d(2, d(B, K)), L=d(3, d(A, M)), D=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, K))))), G))), J=d(d(2, 1), 1), G=d(I, J), H=d(I, d(d(2, d(1, N)), M)), M=d(B, G), K=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), H)))), G), E=d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(d(2, d(B, d(d(2, d(1, d(2, M))), J))), J), F=d(N, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), J))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), H)))), G)))))), H)))), G)))))), G)))))), H)))), G))), J)))))]).
mm_proof(ornld, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, G))))), H))))), I)))), d(F, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, F))))), H))), d(d(2, d(1, K)), d(F, d(d(3, d(3, d(1, L))), L))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), N)))))), H)))))), H)))), O)))), H)))))), H))))), I)))), H)-[E=d(2, d(1, 1)), P=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), D=d(2, d(P, d(d(2, d(1, d(2, d(1, d(P, H))))), d(1, Q)))), A=d(2, d(B, R)), S=d(3, d(A, T)), K=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), H))), M=d(d(2, 1), 1), H=d(E, M), O=d(E, d(d(2, d(1, U)), T)), T=d(B, H), N=d(B, G), Q=d(d(2, d(1, d(2, M))), H), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), O)))), H), G=d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), O)))), H), F=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), M))), M), I=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(J, O)))), H)))))), H)))))), O)))), H))), M)))))]).
mm_proof(dfifp4, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, 1), G=d(1, H), I=d(1, d(d(2, d(1, J)), K)), L=d(1, M), N=d(2, F), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(O, K))))), R=d(2, d(1, d(2, d(1, S)))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, W))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, Y))))), Z)))), A1=d(2, d(1, d(2, A))), U=d(2, G), B1=d(2, d(1, B)), J=d(2, d(1, C1)), D1=d(2, d(1, E1)), F1=d(2, d(1, G1)), H1=d(2, d(1, I1)), J1=d(2, d(1, d(B, d(E, K1)))), L1=d(2, d(1, d(B, d(E, M1)))), N1=d(2, d(1, O1)), P1=d(2, d(1, Q1)), R1=d(2, d(1, S1)), T1=d(2, d(O, d(N, d(1, d(D1, H))))), U1=d(2, d(O, d(Q, d(1, V1)))), W1=d(2, d(O, d(Q, d(O, d(N, G))))), X1=d(2, d(P, Y1)), Z1=d(3, d(X1, W)), A2=d(3, d(X1, d(d(2, d(1, d(2, d(P, d(R, Y1))))), K))), H=d(d(2, 1), 1), B2=d(N, 1), K=d(N, H), C2=d(N, D2), E2=d(N, F2), W=d(P, K), Z=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V1))), E2)))), K)), A=d(d(2, d(1, d(2, d(1, d(A2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), V1=d(d(2, d(1, d(2, H))), K), G2=d(V, K), Y1=d(d(2, d(1, d(2, d(d(2, d(1, U)), E2)))), K), H2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(R1, H))))), K)))), K), B=d(d(2, d(1, Z1)), d(Z1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I2=d(d(2, d(1, A2)), d(B, d(d(3, d(3, d(1, J2))), J2))), C1=d(d(2, d(1, d(3, d(X1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), E2)))), K)))))), K))))), K2), L2=d(d(2, d(1, d(3, d(X1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, K)))), E2)))), K)))))), K))))), K2), D2=d(d(2, d(1, d(3, d(X1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, Y))))), Z)))), K)))), E2)))), K)))))), K))))), K2), M2=d(B1, H), F2=d(d(2, d(1, N2)), W), M=d(F1, 1), E1=d(F1, G2), N2=d(d(2, d(P, d(V, H))), H), O2=d(d(2, d(P, d(V, d(d(2, d(O, d(N, L))), d(P, d(R, d(d(2, d(1, D1)), P2))))))), H), S=d(X1, H), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, B))))), K))), I2)))), K)), H), K2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y=d(B, Q2), G1=d(B, R2), S2=d(B, d(E, T2)), I1=d(B, T2), U2=d(B, d(E, V2)), W2=d(B, d(E, X2)), Y2=d(B, d(E, Z2)), O1=d(B, d(E, A3)), B3=d(B, C3), D3=d(B, d(d(A, d(d(2, d(1, d(B, E3))), d(B, F3))), d(d(2, d(1, d(B, d(E, F3)))), d(B, d(E, E3))))), G3=d(B, K1), Q1=d(B, V2), H3=d(B, X2), S1=d(B, Z2), I3=d(B, M1), J3=d(B, A3), K3=d(d(R1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, F))))), K))), V1)))), K)), H)), d(G1, H)), J2=d(N2, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E2)))), K))), H))), d(3, d(X1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(A1, E2)))), K)))))), K)))))), E2)))), K))), H))))), Q2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T2=d(E, C3), L3=d(E, d(d(A, d(d(2, d(1, d(B, M3))), d(B, N3))), d(d(2, d(1, d(B, d(E, N3)))), d(B, d(E, M3))))), O3=d(E, d(d(A, d(d(2, d(1, d(B, P3))), G3)), d(J1, d(B, d(E, P3))))), E3=d(E, d(d(A, d(d(2, d(1, d(B, Q3))), I3)), d(L1, d(B, d(E, Q3))))), R3=d(E, d(d(A, d(d(2, d(1, d(B, S3))), d(B, K3))), d(d(2, d(1, d(B, d(E, K3)))), d(B, d(E, S3))))), T3=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(W1, d(N, M2))))))), K))), d(W1, d(N, H2)))))), K)), H), U3), C3=d(d(A, L2), L2), V3=d(d(A, d(H1, d(B, W3))), d(d(2, d(1, d(B, d(E, W3)))), S2)), X3=d(d(A, d(H1, d(B, Y3))), d(d(2, d(1, d(B, d(E, Y3)))), S2)), Z3=d(d(A, d(d(2, d(1, d(B, L3))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, L3)))), M3=d(d(A, d(d(2, d(1, d(B, O3))), d(B, R3))), d(d(2, d(1, d(B, d(E, R3)))), d(B, d(E, O3)))), C=d(d(A, d(d(2, d(1, d(B, V3))), B3)), d(H1, d(B, d(E, V3)))), A4=d(d(A, d(d(2, d(1, d(B, X3))), B3)), d(H1, d(B, d(E, X3)))), N3=d(d(A, d(d(2, d(1, d(B, A4))), d(B, B4))), d(d(2, d(1, d(B, d(E, B4)))), d(B, d(E, A4)))), P3=d(d(A, d(d(2, d(1, d(B, C4))), Q1)), d(d(2, d(1, U2)), d(B, d(E, C4)))), F3=d(d(A, d(d(2, d(1, d(B, D4))), d(B, E4))), d(d(2, d(1, d(B, d(E, E4)))), d(B, d(E, D4)))), Q3=d(d(A, d(d(2, d(1, d(B, F4))), S1)), d(d(2, d(1, Y2)), d(B, d(E, F4)))), C4=d(d(A, d(P1, G3)), d(J1, U2)), D4=d(d(A, d(d(2, d(1, d(B, G4))), H3)), d(d(2, d(1, W2)), d(B, d(E, G4)))), F4=d(d(A, d(R1, I3)), d(L1, Y2)), D=d(d(A, d(d(2, d(1, d(B, H4))), d(B, Z3))), d(d(2, d(1, d(B, d(E, Z3)))), d(B, d(E, H4)))), K1=d(d(A, d(d(2, d(P, d(V, d(T1, d(P, d(R, d(d(2, d(1, d(2, d(1, d(P1, d(D1, B3)))))), P2))))))), H)), d(d(2, d(P, d(V, d(T1, d(P, d(R, d(d(2, d(1, d(2, d(1, d(P1, d(D1, I1)))))), P2))))))), H)), V2=d(d(A, O2), O2), U3=d(d(A, S), F2), X2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(O, d(2, d(1, I2)))))))), K))), d(O, B1))))), K)), H)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, A)))), d(U1, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), B2)))), K)))))), d(U1, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I2))), B2)))), K))))), G4=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(P, d(B1, I4))))))), K))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(R1, I4))))), K)))), K)))))), K)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(P, M2)))))), K))), d(P, H2))))), K)), H)), Z2=d(d(A, E), E), S3=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(N, d(d(2, d(1, d(2, d(T, d(N, M))))), K)))))), K))), d(d(2, d(1, d(2, d(T, d(N, E1))))), K))), H)), d(d(2, d(1, d(2, d(d(2, d(P, d(V, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, C1))), K))))), d(P, d(R, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, D2))), K))))), P2))))))), H)))), K)), M1=d(d(A, d(W2, d(d(A, d(d(2, d(1, d(B, J4))), J3)), d(N1, d(B, d(E, J4)))))), d(W2, d(d(A, d(d(2, d(1, d(B, K4))), J3)), d(N1, d(B, d(E, K4)))))), I4=d(W2, d(d(A, d(d(2, d(1, d(B, L4))), d(B, M4))), d(d(2, d(1, d(B, d(E, M4)))), d(B, d(E, L4))))), H4=d(D3, d(1, R2)), W3=d(D3, d(1, d(d(A, d(F1, d(B, T3))), d(d(2, d(1, d(B, d(E, T3)))), d(B, d(E, R2)))))), Y3=d(D3, d(1, d(H3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(d(2, d(1, d(2, d(d(2, d(P, d(V, d(d(2, d(O, d(N, I))), d(P, d(R, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G2))), C2)))), K)))), K))))), P2))))))), H)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, Y))))), Z)))), K))))), K)), H)))), B4=d(D3, d(1, d(H3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(d(2, d(1, d(2, d(d(2, d(P, d(V, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, C2)))), K)))), K))))), d(P, d(R, d(d(2, d(1, d(2, I))), P2))))))), H)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, L), Y))))), Z)))), K))))), K)), H)))), J4=d(H3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K4=d(H3, d(1, Q2)), N4=d(H3, d(1, d(E, U3))), L4=d(H3, d(1, U3)), E4=d(H3, d(1, G4)), A3=d(H3, H), M4=d(H3, d(W2, d(d(A, d(d(2, d(1, J3)), d(B, N4))), d(d(2, d(1, d(B, d(E, N4)))), O1))))]).
mm_proof(dfifp6, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, C))))-[E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, I)))), J=d(2, d(1, d(2, K))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, B)), P=d(2, d(1, d(Q, d(J, R)))), Q=d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(1, d(B, T))), U=d(2, d(1, d(B, d(d(A, V), V)))), W=d(2, d(1, d(B, d(d(A, D), D)))), X=d(2, d(F, d(E, d(1, d(P, N))))), Y=d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, R))))), d(1, Z)))), A1=d(2, d(G, B1)), C1=d(3, d(A1, K)), D1=d(3, d(A1, d(d(2, d(1, d(2, d(G, d(H, B1))))), R))), N=d(d(2, 1), 1), E1=d(E, 1), R=d(E, N), F1=d(E, G1), K=d(G, R), H1=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), F1)))), R)), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1), Z=d(d(2, d(1, d(2, N))), R), B1=d(d(2, d(1, d(2, d(d(2, d(1, M)), F1)))), R), B=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, D1)), d(B, d(d(3, d(3, d(1, J1))), J1))), K1=d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(B, L1)))))), H1)))), R)))), F1)))), R)))))), R))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(1, M1)), K), M1=d(d(2, d(G, d(J, N))), N), V=d(d(2, d(G, d(J, d(d(2, d(F, d(E, d(1, d(Q, 1))))), d(G, d(H, d(d(2, d(1, P)), N1))))))), N), I=d(A1, N), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, B))))), R))), I1)))), R)), N), N1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(B, d(D, P1)), Q1=d(B, d(D, R1)), S1=d(B, T1), U1=d(B, P1), V1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(G, d(O, W1))))))), R))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, W1))))), R)))), R)))))), R)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(G, d(O, N))))))), R))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, N))))), R)))), R)))))), R)), N))), X1=d(B, R1), J1=d(M1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), R))), N))), d(3, d(A1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(L, F1)))), R)))))), R)))))), F1)))), R))), N))))), L1=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(D, T1), Y1=d(d(A, K1), K1), Z1=d(d(A, d(d(2, d(1, d(B, A2))), d(B, Y1))), d(d(2, d(1, d(B, d(D, Y1)))), d(B, d(D, A2)))), B2=d(d(A, d(d(2, d(1, d(B, C2))), S1)), d(S, d(B, d(D, C2)))), A2=d(d(A, d(d(2, d(1, d(B, D2))), S1)), d(S, d(B, d(D, D2)))), C=d(d(A, d(d(2, d(G, d(J, d(X, d(G, d(H, d(d(2, d(1, d(2, d(1, d(U, d(P, d(B, Z1))))))), N1))))))), N)), d(d(2, d(G, d(J, d(X, d(G, d(H, d(d(2, d(1, d(2, d(1, d(U, d(P, d(B, d(D, Z1)))))))), N1))))))), N)), T1=d(d(A, I), G1), P1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(F, d(2, d(1, I1)))))))), R))), d(F, O))))), R)), N)), d(d(2, d(F, d(d(2, d(1, d(2, d(1, A)))), d(Y, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), E1)))), R)))))), d(Y, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), E1)))), R))))), W1=d(O1, d(d(A, d(d(2, d(1, X1)), d(B, E2))), d(d(2, d(1, d(B, d(D, E2)))), Q1))), F2=d(U1, d(1, T)), R1=d(U1, d(1, T1)), G2=d(U1, N), E2=d(U1, d(O1, d(d(A, d(d(2, d(1, d(B, G2))), d(B, F2))), d(d(2, d(1, d(B, d(D, F2)))), d(B, d(D, G2)))))), C2=d(V1, L1), D2=d(V1, d(D, d(d(A, d(d(2, d(1, d(B, B2))), X1)), d(d(2, d(1, Q1)), d(B, d(D, B2))))))]).
mm_proof(dfifp7, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, L))))), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, A))), R=d(2, F), S=d(2, d(1, B)), T=d(2, d(1, d(U, d(O, L)))), U=d(2, d(1, d(B, V))), W=d(2, d(1, d(B, X))), Y=d(2, d(1, Z)), A1=d(2, d(1, d(B, d(d(A, E), E)))), B1=d(2, d(I, d(H, d(1, d(T, G))))), C1=d(2, d(I, d(K, d(1, D1)))), E1=d(2, d(I, d(K, d(I, d(H, F))))), F1=d(2, d(J, G1)), H1=d(3, d(F1, P)), I1=d(3, d(F1, d(d(2, d(1, d(2, d(J, d(M, G1))))), L))), G=d(d(2, 1), 1), J1=d(H, 1), L=d(H, G), K1=d(H, L1), P=d(J, L), M1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), K1)))), L)), A=d(d(2, d(1, d(2, d(1, d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1), D1=d(d(2, d(1, d(2, G))), L), G1=d(d(2, d(1, d(2, d(d(2, d(1, R)), K1)))), L), N1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, d(A1, G))))), L)))), L), B=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(d(2, d(1, I1)), d(B, d(d(3, d(3, d(1, P1))), P1))), Q1=d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(B, R1)))))), M1)))), L)))), K1)))), L)))))), L))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(S, G), L1=d(d(2, d(1, T1)), P), T1=d(d(2, d(J, d(O, G))), G), U1=d(d(2, d(J, d(O, d(d(2, d(I, d(H, d(1, d(U, 1))))), d(J, d(M, d(d(2, d(1, T)), V1))))))), G), N=d(F1, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, B))))), L))), O1)))), L)), G), V1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W1=d(B, d(E, X1)), Y1=d(B, d(E, Z1)), Z=d(B, A2), B2=d(B, C2), D2=d(B, X1), E2=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, d(J, d(S, F2))))))), L))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, d(A1, F2))))), L)))), L)))))), L)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, d(J, S1)))))), L))), d(J, N1))))), L)), G))), G2=d(B, Z1), P1=d(T1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1)))), L))), G))), d(3, d(F1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(Q, K1)))), L)))))), L)))))), K1)))), L))), G))))), R1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H2=d(E, d(d(A, d(U, d(B, I2))), d(d(2, d(1, d(B, d(E, I2)))), d(B, d(E, V))))), X=d(E, C2), I2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, d(E1, d(H, S1))))))), L))), d(E1, d(H, N1)))))), L)), G), C2), J2=d(d(A, Q1), Q1), C=d(d(A, d(d(2, d(1, d(B, H2))), Z)), d(d(2, d(1, d(B, d(E, A2)))), d(B, d(E, H2)))), K2=d(d(A, d(d(2, d(1, d(B, L2))), d(B, J2))), d(d(2, d(1, d(B, d(E, J2)))), d(B, d(E, L2)))), D=d(d(A, d(d(2, d(1, d(B, M2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, M2)))), N2=d(d(A, d(d(2, d(1, d(B, O2))), B2)), d(W, d(B, d(E, O2)))), L2=d(d(A, d(d(2, d(1, d(B, P2))), B2)), d(W, d(B, d(E, P2)))), M2=d(d(A, d(d(2, d(J, d(O, d(B1, d(J, d(M, d(d(2, d(1, d(2, d(1, d(Y, d(T, d(B, K2))))))), V1))))))), G)), d(d(2, d(J, d(O, d(B1, d(J, d(M, d(d(2, d(1, d(2, d(1, d(Y, d(T, d(B, d(E, K2)))))))), V1))))))), G)), A2=d(d(A, U1), U1), C2=d(d(A, N), L1), X1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, d(I, d(2, d(1, O1)))))))), L))), d(I, S))))), L)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(C1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), J1)))), L)))))), d(C1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), J1)))), L))))), F2=d(W1, d(d(A, d(d(2, d(1, G2)), d(B, Q2))), d(d(2, d(1, d(B, d(E, Q2)))), Y1))), R2=d(D2, d(1, X)), Z1=d(D2, d(1, C2)), S2=d(D2, G), Q2=d(D2, d(W1, d(d(A, d(d(2, d(1, d(B, S2))), d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), d(B, d(E, S2)))))), O2=d(E2, R1), P2=d(E2, d(E, d(d(A, d(d(2, d(1, d(B, N2))), G2)), d(d(2, d(1, Y1)), d(B, d(E, N2))))))]).
mm_proof(anifp, d(d(2, d(1, d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(d(2, d(1, d(A, d(B, E)))), d(A, d(B, D)))))))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, J)))), K)))), K)))), L)))), K)))))), K))))), M))), N))))), O)))), d(P, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), L)))), K)))))), K))))), M))), N))))), O)))), K)))), L)))), K)))))), K))))), M)))))), K))), Q)), R))-[S=d(1, 1), T=d(1, R), U=d(1, d(d(2, d(1, V)), K)), W=d(1, X), P=d(2, S), Y=d(2, d(1, 2)), G=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(Y, K))))), H=d(2, d(1, d(2, d(1, A1)))), B1=d(2, d(1, d(2, C1))), D1=d(2, d(1, d(2, E1))), F1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, N))))), O)))), G1=d(2, d(1, d(2, C))), I=d(2, d(1, d(2, d(F1, K)))), C1=d(2, T), H1=d(2, d(1, A)), V=d(2, d(1, Q)), I1=d(2, d(1, J1)), K1=d(2, d(1, L1)), M1=d(2, d(1, N1)), O1=d(2, d(1, d(A, d(B, P1)))), Q1=d(2, d(1, d(A, d(B, R1)))), S1=d(2, d(1, T1)), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), Y1=d(2, d(Y, d(P, d(1, d(I1, R))))), Z1=d(2, d(Y, d(Z, d(1, A2)))), B2=d(2, d(Y, d(Z, d(Y, d(P, T))))), F=d(2, d(G, C2)), D2=d(3, d(F, E1)), E2=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, C2))))), K))), R=d(d(2, 1), 1), F2=d(P, 1), K=d(P, R), G2=d(P, H2), L=d(P, I2), J=d(P, X), E1=d(G, K), O=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A2))), L)))), K)), C=d(d(2, d(1, d(2, d(1, d(E2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O), A2=d(d(2, d(1, d(2, R))), K), J2=d(D1, K), C2=d(d(2, d(1, d(2, d(d(2, d(1, C1)), L)))), K), K2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H1, d(W1, R))))), K)))), K), A=d(d(2, d(1, D2)), d(D2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L2=d(d(2, d(1, E2)), d(A, d(d(3, d(3, d(1, M2))), M2))), Q=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), L)))), K)))))), K))))), M), N2=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(I, L)))), K)))))), K))))), M), H2=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, N))))), O)))), K)))), L)))), K)))))), K))))), M), O2=d(H1, R), I2=d(d(2, d(1, P2)), E1), X=d(K1, 1), J1=d(K1, J2), P2=d(d(2, d(G, d(D1, R))), R), Q2=d(d(2, d(G, d(D1, d(d(2, d(Y, d(P, W))), d(G, d(H, d(d(2, d(1, I1)), R2))))))), R), A1=d(F, R), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(P, A))))), K))), L2)))), K)), R), M=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(A, S2), L1=d(A, T2), U2=d(A, d(B, V2)), N1=d(A, V2), W2=d(A, d(B, X2)), Y2=d(A, d(B, Z2)), A3=d(A, d(B, B3)), T1=d(A, d(B, C3)), D3=d(A, E3), F3=d(A, d(d(C, d(d(2, d(1, d(A, G3))), d(A, H3))), d(d(2, d(1, d(A, d(B, H3)))), d(A, d(B, G3))))), I3=d(A, P1), V1=d(A, X2), J3=d(A, Z2), X1=d(A, B3), K3=d(A, R1), L3=d(A, C3), M3=d(d(W1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(P, S))))), K))), A2)))), K)), R)), d(L1, R)), M2=d(P2, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), R))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(G1, L)))), K)))))), K)))))), L)))), K))), R))))), S2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V2=d(B, E3), N3=d(B, d(d(C, d(d(2, d(1, d(A, O3))), d(A, P3))), d(d(2, d(1, d(A, d(B, P3)))), d(A, d(B, O3))))), Q3=d(B, d(d(C, d(d(2, d(1, d(A, R3))), I3)), d(O1, d(A, d(B, R3))))), G3=d(B, d(d(C, d(d(2, d(1, d(A, S3))), K3)), d(Q1, d(A, d(B, S3))))), T3=d(B, d(d(C, d(d(2, d(1, d(A, U3))), d(A, M3))), d(d(2, d(1, d(A, d(B, M3)))), d(A, d(B, U3))))), V3=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(P, d(B2, d(P, O2))))))), K))), d(B2, d(P, K2)))))), K)), R), W3), E3=d(d(C, N2), N2), X3=d(d(C, d(M1, d(A, Y3))), d(d(2, d(1, d(A, d(B, Y3)))), U2)), Z3=d(d(C, d(M1, d(A, A4))), d(d(2, d(1, d(A, d(B, A4)))), U2)), B4=d(d(C, d(d(2, d(1, d(A, N3))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(A, d(B, N3)))), O3=d(d(C, d(d(2, d(1, d(A, Q3))), d(A, T3))), d(d(2, d(1, d(A, d(B, T3)))), d(A, d(B, Q3)))), D=d(d(C, d(d(2, d(1, d(A, X3))), D3)), d(M1, d(A, d(B, X3)))), C4=d(d(C, d(d(2, d(1, d(A, Z3))), D3)), d(M1, d(A, d(B, Z3)))), P3=d(d(C, d(d(2, d(1, d(A, C4))), d(A, D4))), d(d(2, d(1, d(A, d(B, D4)))), d(A, d(B, C4)))), R3=d(d(C, d(d(2, d(1, d(A, E4))), V1)), d(d(2, d(1, W2)), d(A, d(B, E4)))), H3=d(d(C, d(d(2, d(1, d(A, F4))), d(A, G4))), d(d(2, d(1, d(A, d(B, G4)))), d(A, d(B, F4)))), S3=d(d(C, d(d(2, d(1, d(A, H4))), X1)), d(d(2, d(1, A3)), d(A, d(B, H4)))), E4=d(d(C, d(U1, I3)), d(O1, W2)), F4=d(d(C, d(d(2, d(1, d(A, I4))), J3)), d(d(2, d(1, Y2)), d(A, d(B, I4)))), H4=d(d(C, d(W1, K3)), d(Q1, A3)), E=d(d(C, d(d(2, d(1, d(A, J4))), d(A, B4))), d(d(2, d(1, d(A, d(B, B4)))), d(A, d(B, J4)))), P1=d(d(C, d(d(2, d(G, d(D1, d(Y1, d(G, d(H, d(d(2, d(1, d(2, d(1, d(U1, d(I1, D3)))))), R2))))))), R)), d(d(2, d(G, d(D1, d(Y1, d(G, d(H, d(d(2, d(1, d(2, d(1, d(U1, d(I1, N1)))))), R2))))))), R)), X2=d(d(C, Q2), Q2), W3=d(d(C, A1), I2), Z2=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(P, d(Y, d(2, d(1, L2)))))))), K))), d(Y, H1))))), K)), R)), d(d(2, d(Y, d(d(2, d(1, d(2, d(1, C)))), d(Z1, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), F2)))), K)))))), d(Z1, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L2))), F2)))), K))))), I4=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(P, d(G, d(H1, K4))))))), K))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H1, d(W1, K4))))), K)))), K)))))), K)), R)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(P, d(G, O2)))))), K))), d(G, K2))))), K)), R)), B3=d(d(C, B), B), U3=d(d(C, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(P, d(d(2, d(1, d(2, d(B1, J)))), K)))))), K))), d(d(2, d(1, d(2, d(B1, d(P, J1))))), K))), R)), d(d(2, d(1, d(2, d(d(2, d(G, d(D1, d(d(2, d(Y, d(P, d(1, d(d(2, d(1, d(2, Q))), K))))), d(G, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, H2))), K))))), R2))))))), R)))), K)), R1=d(d(C, d(Y2, d(d(C, d(d(2, d(1, d(A, L4))), L3)), d(S1, d(A, d(B, L4)))))), d(Y2, d(d(C, d(d(2, d(1, d(A, M4))), L3)), d(S1, d(A, d(B, M4)))))), K4=d(Y2, d(d(C, d(d(2, d(1, d(A, N4))), d(A, O4))), d(d(2, d(1, d(A, d(B, O4)))), d(A, d(B, N4))))), J4=d(F3, d(1, T2)), Y3=d(F3, d(1, d(d(C, d(K1, d(A, V3))), d(d(2, d(1, d(A, d(B, V3)))), d(A, d(B, T2)))))), A4=d(F3, d(1, d(J3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(P, d(d(2, d(1, d(2, d(d(2, d(G, d(D1, d(d(2, d(Y, d(P, U))), d(G, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J2))), G2)))), K)))), K))))), R2))))))), R)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I1, N))))), O)))), K))))), K)), R)))), D4=d(F3, d(1, d(J3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(P, d(d(2, d(1, d(2, d(d(2, d(G, d(D1, d(d(2, d(Y, d(P, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D1, G2)))), K)))), K))))), d(G, d(H, d(d(2, d(1, d(2, U))), R2))))))), R)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, W), N))))), O)))), K))))), K)), R)))), L4=d(J3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M4=d(J3, d(1, S2)), P4=d(J3, d(1, d(B, W3))), N4=d(J3, d(1, W3)), G4=d(J3, d(1, I4)), C3=d(J3, R), O4=d(J3, d(Y2, d(d(C, d(d(2, d(1, L3)), d(A, P4))), d(d(2, d(1, d(A, d(B, P4)))), T1))))]).
mm_proof(ifpor, d(d(2, d(1, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, E)))), d(A, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(G, d(d(H, I), I)))), E))))), J))))))), K))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(L, K))))), B=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, H))), O=d(2, d(1, d(P, d(B, Q)))), P=d(2, d(1, d(G, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), L=d(2, d(A, S)), T=d(3, d(L, M)), U=d(3, d(L, d(d(2, d(1, d(2, d(A, d(F, S))))), Q))), K=d(d(2, 1), 1), Q=d(D, K), V=d(D, d(d(2, d(1, W)), M)), M=d(A, Q), X=d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), Q)))), V)))), Q)), H=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), V)))), Q), G=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(O, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), V)))), Q)))))), Q))))), Y))), d(G, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), X)))), Q)))), V)))), Q)))))), Q))))), Y)), W=d(d(2, d(A, d(B, K))), K), I=d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(1, d(P, 1))))), d(A, d(F, d(d(2, d(1, O)), J))))))), K), R=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, G))))), Q))), d(d(2, d(1, U)), d(G, d(d(3, d(3, d(1, Z))), Z))))))), Q)), K), Y=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(W, d(d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), Q))), K))), d(3, d(L, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(A, d(F, d(d(2, d(1, d(2, d(N, V)))), Q)))))), Q)))))), V)))), Q))), K)))))]).
mm_proof(ifpn, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, 1), G=d(1, H), I=d(1, d(d(2, d(1, J)), K)), L=d(1, M), N=d(2, F), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(O, K))))), R=d(2, d(1, d(2, d(1, S)))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, W))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, Y))))), Z)))), A1=d(2, d(1, d(2, A))), U=d(2, G), B1=d(2, d(1, B)), J=d(2, d(1, C1)), D1=d(2, d(1, E1)), F1=d(2, d(1, G1)), H1=d(2, d(1, I1)), J1=d(2, d(1, d(B, d(E, K1)))), L1=d(2, d(1, d(B, d(E, M1)))), N1=d(2, d(1, d(B, d(E, O1)))), P1=d(2, d(1, Q1)), R1=d(2, d(1, S1)), T1=d(2, d(1, U1)), V1=d(2, d(O, d(N, d(1, d(D1, H))))), W1=d(2, d(O, d(Q, d(1, X1)))), Y1=d(2, d(O, d(Q, d(O, d(N, G))))), Z1=d(2, d(P, A2)), B2=d(3, d(Z1, W)), C2=d(3, d(Z1, d(d(2, d(1, d(2, d(P, d(R, A2))))), K))), H=d(d(2, 1), 1), D2=d(N, 1), K=d(N, H), E2=d(N, F2), G2=d(N, H2), W=d(P, K), Z=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X1))), G2)))), K)), A=d(d(2, d(1, d(2, d(1, d(C2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), X1=d(d(2, d(1, d(2, H))), K), I2=d(V, K), A2=d(d(2, d(1, d(2, d(d(2, d(1, U)), G2)))), K), J2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(T1, H))))), K)))), K), B=d(d(2, d(1, B2)), d(B2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K2=d(d(2, d(1, C2)), d(B, d(d(3, d(3, d(1, L2))), L2))), C1=d(d(2, d(1, d(3, d(Z1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), G2)))), K)))))), K))))), M2), N2=d(d(2, d(1, d(3, d(Z1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, K)))), G2)))), K)))))), K))))), M2), F2=d(d(2, d(1, d(3, d(Z1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, Y))))), Z)))), K)))), G2)))), K)))))), K))))), M2), O2=d(B1, H), H2=d(d(2, d(1, P2)), W), M=d(F1, 1), E1=d(F1, I2), P2=d(d(2, d(P, d(V, H))), H), Q2=d(d(2, d(P, d(V, d(d(2, d(O, d(N, L))), d(P, d(R, d(d(2, d(1, D1)), R2))))))), H), S=d(Z1, H), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, B))))), K))), K2)))), K)), H), M2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y=d(B, S2), G1=d(B, T2), U2=d(B, d(E, V2)), I1=d(B, V2), W2=d(B, d(E, X2)), Y2=d(B, d(E, Z2)), A3=d(B, d(E, B3)), Q1=d(B, d(E, C3)), D3=d(B, E3), F3=d(B, K1), G3=d(B, d(d(A, d(d(2, d(1, d(B, H3))), d(B, I3))), d(d(2, d(1, d(B, d(E, I3)))), d(B, d(E, H3))))), J3=d(B, M1), S1=d(B, X2), K3=d(B, Z2), U1=d(B, B3), L3=d(B, O1), M3=d(B, C3), N3=d(d(T1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, F))))), K))), X1)))), K)), H)), d(G1, H)), L2=d(P2, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G2)))), K))), H))), d(3, d(Z1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(A1, G2)))), K)))))), K)))))), G2)))), K))), H))))), S2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V2=d(E, E3), O3=d(E, d(d(A, d(d(2, d(1, d(B, P3))), d(B, Q3))), d(d(2, d(1, d(B, d(E, Q3)))), d(B, d(E, P3))))), R3=d(E, d(d(A, d(d(2, d(1, d(B, S3))), J3)), d(L1, d(B, d(E, S3))))), H3=d(E, d(d(A, d(d(2, d(1, d(B, T3))), L3)), d(N1, d(B, d(E, T3))))), U3=d(E, d(d(A, d(d(2, d(1, d(B, V3))), d(B, N3))), d(d(2, d(1, d(B, d(E, N3)))), d(B, d(E, V3))))), W3=d(E, d(d(A, d(d(2, d(1, d(B, X3))), F3)), d(J1, d(B, d(E, X3))))), Y3=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(Y1, d(N, O2))))))), K))), d(Y1, d(N, J2)))))), K)), H), Z3), E3=d(d(A, N2), N2), A4=d(d(A, d(H1, d(B, B4))), d(d(2, d(1, d(B, d(E, B4)))), U2)), C4=d(d(A, d(H1, d(B, D4))), d(d(2, d(1, d(B, d(E, D4)))), U2)), K1=d(d(A, d(d(2, d(1, d(B, O3))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, O3)))), P3=d(d(A, d(d(2, d(1, d(B, R3))), d(B, U3))), d(d(2, d(1, d(B, d(E, U3)))), d(B, d(E, R3)))), C=d(d(A, d(d(2, d(1, d(B, W3))), D3)), d(H1, d(B, d(E, W3)))), E4=d(d(A, d(d(2, d(1, d(B, A4))), D3)), d(H1, d(B, d(E, A4)))), F4=d(d(A, d(d(2, d(1, d(B, C4))), D3)), d(H1, d(B, d(E, C4)))), D=d(d(A, d(d(2, d(1, d(B, E4))), F3)), d(J1, d(B, d(E, E4)))), Q3=d(d(A, d(d(2, d(1, d(B, F4))), d(B, G4))), d(d(2, d(1, d(B, d(E, G4)))), d(B, d(E, F4)))), S3=d(d(A, d(d(2, d(1, d(B, H4))), S1)), d(d(2, d(1, W2)), d(B, d(E, H4)))), I3=d(d(A, d(d(2, d(1, d(B, I4))), d(B, J4))), d(d(2, d(1, d(B, d(E, J4)))), d(B, d(E, I4)))), T3=d(d(A, d(d(2, d(1, d(B, K4))), U1)), d(d(2, d(1, A3)), d(B, d(E, K4)))), H4=d(d(A, d(R1, J3)), d(L1, W2)), I4=d(d(A, d(d(2, d(1, d(B, L4))), K3)), d(d(2, d(1, Y2)), d(B, d(E, L4)))), K4=d(d(A, d(T1, L3)), d(N1, A3)), M1=d(d(A, d(d(2, d(P, d(V, d(V1, d(P, d(R, d(d(2, d(1, d(2, d(1, d(R1, d(D1, D3)))))), R2))))))), H)), d(d(2, d(P, d(V, d(V1, d(P, d(R, d(d(2, d(1, d(2, d(1, d(R1, d(D1, I1)))))), R2))))))), H)), X2=d(d(A, Q2), Q2), Z3=d(d(A, S), H2), Z2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(O, d(2, d(1, K2)))))))), K))), d(O, B1))))), K)), H)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, A)))), d(W1, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), D2)))), K)))))), d(W1, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K2))), D2)))), K))))), L4=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(P, d(B1, M4))))))), K))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(T1, M4))))), K)))), K)))))), K)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(P, O2)))))), K))), d(P, J2))))), K)), H)), B3=d(d(A, E), E), V3=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(N, d(d(2, d(1, d(2, d(T, d(N, M))))), K)))))), K))), d(d(2, d(1, d(2, d(T, d(N, E1))))), K))), H)), d(d(2, d(1, d(2, d(d(2, d(P, d(V, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, C1))), K))))), d(P, d(R, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, F2))), K))))), R2))))))), H)))), K)), O1=d(d(A, d(Y2, d(d(A, d(d(2, d(1, d(B, N4))), M3)), d(P1, d(B, d(E, N4)))))), d(Y2, d(d(A, d(d(2, d(1, d(B, O4))), M3)), d(P1, d(B, d(E, O4)))))), M4=d(Y2, d(d(A, d(d(2, d(1, d(B, P4))), d(B, Q4))), d(d(2, d(1, d(B, d(E, Q4)))), d(B, d(E, P4))))), X3=d(G3, d(1, T2)), B4=d(G3, d(1, d(d(A, d(F1, d(B, Y3))), d(d(2, d(1, d(B, d(E, Y3)))), d(B, d(E, T2)))))), D4=d(G3, d(1, d(K3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(d(2, d(1, d(2, d(d(2, d(P, d(V, d(d(2, d(O, d(N, I))), d(P, d(R, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I2))), E2)))), K)))), K))))), R2))))))), H)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, Y))))), Z)))), K))))), K)), H)))), G4=d(G3, d(1, d(K3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(d(2, d(1, d(2, d(d(2, d(P, d(V, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, E2)))), K)))), K))))), d(P, d(R, d(d(2, d(1, d(2, I))), R2))))))), H)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, L), Y))))), Z)))), K))))), K)), H)))), N4=d(K3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O4=d(K3, d(1, S2)), R4=d(K3, d(1, d(E, Z3))), P4=d(K3, d(1, Z3)), J4=d(K3, d(1, L4)), C3=d(K3, H), Q4=d(K3, d(Y2, d(d(A, d(d(2, d(1, M3)), d(B, R4))), d(d(2, d(1, d(B, d(E, R4)))), Q1))))]).
mm_proof(ifptru, d(A, d(B, d(d(C, d(d(2, d(1, d(D, E))), d(D, F))), d(d(2, d(1, d(D, d(G, F)))), d(D, d(G, E))))))-[H=d(1, 1), I=d(1, d(d(2, d(1, J)), K)), L=d(1, M), N=d(1, O), P=d(2, H), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, T)))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, X))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, Z))))), A1)))), B1=d(2, d(1, d(2, C))), V=d(2, d(1, C1)), D1=d(2, d(1, D)), J=d(2, L), E1=d(2, d(1, F1)), G1=d(2, d(1, H1)), I1=d(2, d(1, J1)), K1=d(2, d(1, d(D, d(G, L1)))), M1=d(2, d(1, d(D, d(G, N1)))), O1=d(2, d(1, P1)), Q1=d(2, d(1, R1)), A=d(2, d(1, S1)), T1=d(2, d(Q, d(P, d(1, d(E1, C1))))), U1=d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, K))))), d(1, V1)))), W1=d(2, d(R, X1)), Y1=d(3, d(W1, X)), Z1=d(3, d(W1, d(d(2, d(1, d(2, d(R, d(S, X1))))), K))), C1=d(d(2, 1), 1), A2=d(P, 1), K=d(P, C1), B2=d(P, C2), D2=d(P, E2), X=d(R, K), A1=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V1))), D2)))), K)), C=d(d(2, d(1, d(2, d(1, d(Z1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), V1=d(d(2, d(1, d(2, C1))), K), F2=d(W, K), X1=d(d(2, d(1, d(2, d(d(2, d(1, V)), D2)))), K), G2=d(Y, K), D=d(d(2, d(1, Y1)), d(Y1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H2=d(d(2, d(1, Z1)), d(D, d(d(3, d(3, d(1, I2))), I2))), M=d(d(2, d(1, d(3, d(W1, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), D2)))), K)))))), K))))), J2), K2=d(d(2, d(1, d(3, d(W1, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G2))), D2)))), K)))))), K))))), J2), C2=d(d(2, d(1, d(3, d(W1, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, Z))))), A1)))), K)))), D2)))), K)))))), K))))), J2), E2=d(d(2, d(1, L2)), X), O=d(G1, 1), F1=d(G1, F2), M2=d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(P, H))))), K))), V1)))), K)), C1)), L2=d(d(2, d(R, d(W, C1))), C1), N2=d(d(2, d(R, d(W, d(d(2, d(Q, d(P, N))), d(R, d(S, d(d(2, d(1, E1)), O2))))))), C1), T=d(W1, C1), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(P, D))))), K))), H2)))), K)), C1), J2=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O2=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(D, P2), H1=d(D, Q2), J1=d(D, R2), S2=d(D, d(G, T2)), B=d(D, d(G, U2)), V2=d(D, d(G, W2)), P1=d(D, d(G, X2)), Y2=d(D, Z2), A3=d(D, d(d(C, d(d(2, d(1, d(D, B3))), d(D, C3))), d(d(2, d(1, d(D, d(G, C3)))), d(D, d(G, B3))))), D3=d(D, L1), R1=d(D, T2), E3=d(D, U2), S1=d(D, W2), F3=d(D, N1), G3=d(D, X2), H3=d(M2, d(H1, C1)), I2=d(L2, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D2)))), K))), C1))), d(3, d(W1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W1, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(B1, D2)))), K)))))), K)))))), D2)))), K))), C1))))), P2=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q2=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R2=d(G, Z2), I3=d(G, d(d(C, d(d(2, d(1, d(D, J3))), d(D, K3))), d(d(2, d(1, d(D, d(G, K3)))), d(D, d(G, J3))))), L3=d(G, d(d(C, d(d(2, d(1, d(D, M3))), D3)), d(K1, d(D, d(G, M3))))), B3=d(G, d(d(C, d(d(2, d(1, d(D, N3))), F3)), d(M1, d(D, d(G, N3))))), O3=d(G, d(d(C, d(d(2, d(1, d(D, P3))), d(D, H3))), d(d(2, d(1, d(D, d(G, H3)))), d(D, d(G, P3))))), Z2=d(d(C, K2), K2), Q3=d(d(C, d(I1, d(D, R3))), d(d(2, d(1, d(D, d(G, R3)))), d(D, d(G, R2)))), S3=d(d(C, d(d(2, d(1, d(D, I3))), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(D, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(D, d(G, I3)))), J3=d(d(C, d(d(2, d(1, d(D, L3))), d(D, O3))), d(d(2, d(1, d(D, d(G, O3)))), d(D, d(G, L3)))), T3=d(d(C, d(d(2, d(1, d(D, Q3))), Y2)), d(I1, d(D, d(G, Q3)))), K3=d(d(C, d(d(2, d(1, d(D, T3))), d(D, U3))), d(d(2, d(1, d(D, d(G, U3)))), d(D, d(G, T3)))), M3=d(d(C, d(d(2, d(1, d(D, V3))), R1)), d(d(2, d(1, S2)), d(D, d(G, V3)))), C3=d(d(C, d(d(2, d(1, d(D, W3))), d(D, X3))), d(d(2, d(1, d(D, d(G, X3)))), d(D, d(G, W3)))), N3=d(d(C, d(d(2, d(1, d(D, Y3))), S1)), d(d(2, d(1, V2)), d(D, d(G, Y3)))), V3=d(d(C, d(Q1, D3)), d(K1, S2)), W3=d(d(C, d(d(2, d(1, d(D, Z3))), E3)), d(d(2, d(1, B)), d(D, d(G, Z3)))), Y3=d(d(C, d(A, F3)), d(M1, V2)), L1=d(d(C, d(d(2, d(R, d(W, d(T1, d(R, d(S, d(d(2, d(1, d(2, d(1, d(Q1, d(E1, Y2)))))), O2))))))), C1)), d(d(2, d(R, d(W, d(T1, d(R, d(S, d(d(2, d(1, d(2, d(1, d(Q1, d(E1, J1)))))), O2))))))), C1)), T2=d(d(C, N2), N2), A4=d(d(C, T), E2), U2=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(P, d(Q, d(2, d(1, H2)))))))), K))), d(Q, D1))))), K)), C1)), d(d(2, d(Q, d(d(2, d(1, d(2, d(1, C)))), d(U1, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), A2)))), K)))))), d(U1, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H2))), A2)))), K))))), Z3=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(P, d(R, d(D1, B4))))))), K))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D1, d(A, B4))))), K)))), K)))))), K)), C1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(P, d(R, d(D1, C1))))))), K))), d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D1, d(A, C1))))), K)))), K)))))), K)), C1)), W2=d(d(C, G), G), P3=d(d(C, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(P, d(d(2, d(1, d(2, d(U, d(P, O))))), K)))))), K))), d(d(2, d(1, d(2, d(U, d(P, F1))))), K))), C1)), d(d(2, d(1, d(2, d(d(2, d(R, d(W, d(d(2, d(Q, d(P, d(1, d(d(2, d(1, d(2, M))), K))))), d(R, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, C2))), K))))), O2))))))), C1)))), K)), N1=d(d(C, d(B, d(d(C, d(d(2, d(1, d(D, C4))), G3)), d(O1, d(D, d(G, C4)))))), d(B, d(d(C, d(d(2, d(1, d(D, D4))), G3)), d(O1, d(D, d(G, D4)))))), B4=d(B, d(d(C, d(d(2, d(1, d(D, E4))), d(D, F4))), d(d(2, d(1, d(D, d(G, F4)))), d(D, d(G, E4))))), G4=d(A3, d(1, Q2)), R3=d(A3, d(1, d(E3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(P, d(d(2, d(1, d(2, d(d(2, d(R, d(W, d(d(2, d(Q, d(P, I))), d(R, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F2))), B2)))), K)))), K))))), O2))))))), C1)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, Z))))), A1)))), K))))), K)), C1)))), U3=d(A3, d(1, d(E3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(P, d(d(2, d(1, d(2, d(d(2, d(R, d(W, d(d(2, d(Q, d(P, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, B2)))), K)))), K))))), d(R, d(S, d(d(2, d(1, d(2, I))), O2))))))), C1)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, N), Z))))), A1)))), K))))), K)), C1)))), C4=d(E3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D4=d(E3, d(1, P2)), H4=d(E3, d(1, d(G, d(d(C, d(d(2, d(1, d(D, G4))), d(D, S3))), d(d(2, d(1, d(D, d(G, S3)))), d(D, d(G, G4))))))), I4=d(E3, d(1, d(G, A4))), E4=d(E3, d(1, A4)), X3=d(E3, d(1, Z3)), X2=d(E3, C1), J4=d(E3, d(d(2, d(1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(P, L))))), K))), G2)))), K)), C1))), F1)), F=d(E3, M2), E=d(E3, d(B, d(d(C, d(d(2, d(1, d(D, H4))), d(D, J4))), d(d(2, d(1, d(D, d(G, J4)))), d(D, d(G, H4)))))), F4=d(E3, d(B, d(d(C, d(d(2, d(1, G3)), d(D, I4))), d(d(2, d(1, d(D, d(G, I4)))), P1))))]).
mm_proof(ifpfal, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(1, 1), H=d(1, I), J=d(1, d(d(2, d(1, K)), L)), M=d(1, N), O=d(1, P), Q=d(2, G), R=d(2, d(1, 2)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, L))))), U=d(2, d(1, d(2, d(1, V)))), W=d(2, d(1, d(2, X))), Y=d(2, d(1, d(2, Z))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, B1))))), C1)))), D1=d(2, d(1, d(2, B))), X=d(2, H), E1=d(2, d(1, C)), K=d(2, M), F1=d(2, d(1, G1)), H1=d(2, d(1, I1)), J1=d(2, d(1, K1)), L1=d(2, d(1, d(C, d(F, M1)))), N1=d(2, d(1, d(C, d(F, O1)))), P1=d(2, d(1, d(C, d(F, Q1)))), R1=d(2, d(1, S1)), T1=d(2, d(1, U1)), V1=d(2, d(1, W1)), X1=d(2, d(R, d(Q, d(1, d(F1, I))))), Y1=d(2, d(R, d(T, d(1, Z1)))), A2=d(2, d(R, d(T, d(R, d(Q, H))))), B2=d(2, d(S, C2)), D2=d(3, d(B2, Z)), E2=d(3, d(B2, d(d(2, d(1, d(2, d(S, d(U, C2))))), L))), I=d(d(2, 1), 1), F2=d(Q, 1), L=d(Q, I), G2=d(Q, H2), I2=d(Q, J2), Z=d(S, L), C1=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z1))), I2)))), L)), B=d(d(2, d(1, d(2, d(1, d(E2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1), Z1=d(d(2, d(1, d(2, I))), L), K2=d(Y, L), C2=d(d(2, d(1, d(2, d(d(2, d(1, X)), I2)))), L), L2=d(A1, L), M2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E1, d(V1, I))))), L)))), L), C=d(d(2, d(1, D2)), d(D2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N2=d(d(2, d(1, E2)), d(C, d(d(3, d(3, d(1, O2))), O2))), N=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(S, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I2)))), L)))))), L))))), P2), Q2=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(S, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L2))), I2)))), L)))))), L))))), P2), H2=d(d(2, d(1, d(3, d(B2, d(d(2, d(1, d(2, d(S, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, B1))))), C1)))), L)))), I2)))), L)))))), L))))), P2), R2=d(E1, I), J2=d(d(2, d(1, S2)), Z), P=d(H1, 1), G1=d(H1, K2), T2=d(V1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, G))))), L))), Z1)))), L)), I)), S2=d(d(2, d(S, d(Y, I))), I), U2=d(d(2, d(S, d(Y, d(d(2, d(R, d(Q, O))), d(S, d(U, d(d(2, d(1, F1)), V2))))))), I), V=d(B2, I), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, C))))), L))), N2)))), L)), I), P2=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V2=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(C, W2), I1=d(C, X2), Y2=d(C, d(F, Z2)), K1=d(C, Z2), A3=d(C, d(F, B3)), A=d(C, d(F, C3)), D3=d(C, d(F, E3)), S1=d(C, d(F, F3)), G3=d(C, H3), I3=d(C, M1), J3=d(C, d(d(B, d(d(2, d(1, d(C, K3))), d(C, L3))), d(d(2, d(1, d(C, d(F, L3)))), d(C, d(F, K3))))), M3=d(C, O1), U1=d(C, B3), N3=d(C, C3), W1=d(C, E3), O3=d(C, Q1), P3=d(C, F3), Q3=d(T2, d(I1, I)), O2=d(S2, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I2)))), L))), I))), d(3, d(B2, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B2, d(d(2, d(1, d(2, d(S, d(U, d(d(2, d(1, d(2, d(D1, I2)))), L)))))), L)))))), I2)))), L))), I))))), W2=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X2=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z2=d(F, H3), R3=d(F, d(d(B, d(d(2, d(1, d(C, S3))), d(C, T3))), d(d(2, d(1, d(C, d(F, T3)))), d(C, d(F, S3))))), U3=d(F, d(d(B, d(d(2, d(1, d(C, V3))), M3)), d(N1, d(C, d(F, V3))))), K3=d(F, d(d(B, d(d(2, d(1, d(C, W3))), O3)), d(P1, d(C, d(F, W3))))), X3=d(F, d(d(B, d(d(2, d(1, d(C, Y3))), d(C, Q3))), d(d(2, d(1, d(C, d(F, Q3)))), d(C, d(F, Y3))))), Z3=d(F, d(d(B, d(d(2, d(1, d(C, A4))), I3)), d(L1, d(C, d(F, A4))))), B4=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, d(A2, d(Q, R2))))))), L))), d(A2, d(Q, M2)))))), L)), I), C4), H3=d(d(B, Q2), Q2), D4=d(d(B, d(J1, d(C, E4))), d(d(2, d(1, d(C, d(F, E4)))), Y2)), F4=d(d(B, d(J1, d(C, G4))), d(d(2, d(1, d(C, d(F, G4)))), Y2)), M1=d(d(B, d(d(2, d(1, d(C, R3))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(F, R3)))), S3=d(d(B, d(d(2, d(1, d(C, U3))), d(C, X3))), d(d(2, d(1, d(C, d(F, X3)))), d(C, d(F, U3)))), H4=d(d(B, d(d(2, d(1, d(C, Z3))), G3)), d(J1, d(C, d(F, Z3)))), I4=d(d(B, d(d(2, d(1, d(C, D4))), G3)), d(J1, d(C, d(F, D4)))), J4=d(d(B, d(d(2, d(1, d(C, F4))), G3)), d(J1, d(C, d(F, F4)))), K4=d(d(B, d(d(2, d(1, d(C, I4))), I3)), d(L1, d(C, d(F, I4)))), T3=d(d(B, d(d(2, d(1, d(C, J4))), d(C, L4))), d(d(2, d(1, d(C, d(F, L4)))), d(C, d(F, J4)))), V3=d(d(B, d(d(2, d(1, d(C, M4))), U1)), d(d(2, d(1, A3)), d(C, d(F, M4)))), L3=d(d(B, d(d(2, d(1, d(C, N4))), d(C, O4))), d(d(2, d(1, d(C, d(F, O4)))), d(C, d(F, N4)))), W3=d(d(B, d(d(2, d(1, d(C, P4))), W1)), d(d(2, d(1, D3)), d(C, d(F, P4)))), M4=d(d(B, d(T1, M3)), d(N1, A3)), N4=d(d(B, d(d(2, d(1, d(C, Q4))), N3)), d(d(2, d(1, A)), d(C, d(F, Q4)))), P4=d(d(B, d(V1, O3)), d(P1, D3)), O1=d(d(B, d(d(2, d(S, d(Y, d(X1, d(S, d(U, d(d(2, d(1, d(2, d(1, d(T1, d(F1, G3)))))), V2))))))), I)), d(d(2, d(S, d(Y, d(X1, d(S, d(U, d(d(2, d(1, d(2, d(1, d(T1, d(F1, K1)))))), V2))))))), I)), B3=d(d(B, U2), U2), C4=d(d(B, V), J2), C3=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, d(R, d(2, d(1, N2)))))))), L))), d(R, E1))))), L)), I)), d(d(2, d(R, d(d(2, d(1, d(2, d(1, B)))), d(Y1, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), F2)))), L)))))), d(Y1, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N2))), F2)))), L))))), Q4=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, d(S, d(E1, R4))))))), L))), d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E1, d(V1, R4))))), L)))), L)))))), L)), I)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, d(S, R2)))))), L))), d(S, M2))))), L)), I)), E3=d(d(B, F), F), Y3=d(d(B, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(Q, d(d(2, d(1, d(2, d(W, d(Q, P))))), L)))))), L))), d(d(2, d(1, d(2, d(W, d(Q, G1))))), L))), I)), d(d(2, d(1, d(2, d(d(2, d(S, d(Y, d(d(2, d(R, d(Q, d(1, d(d(2, d(1, d(2, N))), L))))), d(S, d(U, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, H2))), L))))), V2))))))), I)))), L)), Q1=d(d(B, d(A, d(d(B, d(d(2, d(1, d(C, S4))), P3)), d(R1, d(C, d(F, S4)))))), d(A, d(d(B, d(d(2, d(1, d(C, T4))), P3)), d(R1, d(C, d(F, T4)))))), R4=d(A, d(d(B, d(d(2, d(1, d(C, U4))), d(C, V4))), d(d(2, d(1, d(C, d(F, V4)))), d(C, d(F, U4))))), A4=d(J3, d(1, X2)), E4=d(J3, d(1, d(d(B, d(H1, d(C, B4))), d(d(2, d(1, d(C, d(F, B4)))), d(C, d(F, X2)))))), G4=d(J3, d(1, d(N3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, d(d(2, d(1, d(2, d(d(2, d(S, d(Y, d(d(2, d(R, d(Q, J))), d(S, d(U, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K2))), G2)))), L)))), L))))), V2))))))), I)))), L)))))), L))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, B1))))), C1)))), L))))), L)), I)))), L4=d(J3, d(1, d(N3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, d(d(2, d(1, d(2, d(d(2, d(S, d(Y, d(d(2, d(R, d(Q, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, G2)))), L)))), L))))), d(S, d(U, d(d(2, d(1, d(2, J))), V2))))))), I)))), L)))))), L))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, O), B1))))), C1)))), L))))), L)), I)))), S4=d(N3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T4=d(N3, d(1, W2)), W4=d(N3, d(1, Z3)), X4=d(N3, d(1, d(F, C4))), E=d(N3, d(1, d(d(B, d(d(2, d(1, d(C, H4))), d(C, K4))), d(d(2, d(1, d(C, d(F, K4)))), d(C, d(F, H4)))))), U4=d(N3, d(1, C4)), O4=d(N3, d(1, Q4)), F3=d(N3, I), Y4=d(N3, d(d(2, d(1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, M))))), L))), L2)))), L)), I))), G1)), Z4=d(N3, T2), D=d(N3, d(V1, d(A, d(d(B, d(d(2, d(1, d(C, A5))), d(C, Z4))), d(d(2, d(1, d(C, d(F, Z4)))), d(C, d(F, A5))))))), A5=d(N3, d(A, d(d(B, d(d(2, d(1, d(C, W4))), d(C, Y4))), d(d(2, d(1, d(C, d(F, Y4)))), d(C, d(F, W4)))))), V4=d(N3, d(A, d(d(B, d(d(2, d(1, P3)), d(C, X4))), d(d(2, d(1, d(C, d(F, X4)))), S1))))]).
mm_proof(ifpid, d(A, d(d(2, d(1, B)), d(3, d(C, d(D, d(d(E, d(d(2, d(1, d(F, G))), d(F, H))), d(d(2, d(1, d(F, d(I, H)))), d(F, d(I, G)))))))))-[J=d(1, 1), K=d(1, L), M=d(1, d(d(2, d(1, N)), O)), P=d(1, Q), R=d(1, S), T=d(2, J), U=d(2, d(1, 2)), V=d(2, d(1, 3)), W=d(2, d(1, d(2, d(1, d(U, O))))), X=d(2, d(1, d(2, d(1, Y)))), Z=d(2, d(1, d(2, A1))), B1=d(2, d(1, d(2, C1))), D1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, E1))))), F1)))), G1=d(2, d(1, d(2, E))), A1=d(2, K), H1=d(2, d(1, F)), N=d(2, P), I1=d(2, d(1, J1)), K1=d(2, d(1, L1)), M1=d(2, d(1, N1)), O1=d(2, d(1, d(F, d(I, P1)))), Q1=d(2, d(1, d(F, d(I, R1)))), S1=d(2, d(1, d(F, d(I, T1)))), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), Y1=d(2, d(1, Z1)), A2=d(2, d(U, d(T, d(1, d(I1, L))))), B2=d(2, d(U, d(W, d(1, C2)))), D2=d(2, d(U, d(W, d(U, d(T, K))))), C=d(2, d(V, E2)), F2=d(3, d(C, C1)), G2=d(3, d(C, d(d(2, d(1, d(2, d(V, d(X, E2))))), O))), L=d(d(2, 1), 1), H2=d(T, 1), O=d(T, L), I2=d(T, J2), K2=d(T, L2), C1=d(V, O), F1=d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C2))), K2)))), O)), E=d(d(2, d(1, d(2, d(1, d(G2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1), C2=d(d(2, d(1, d(2, L))), O), M2=d(B1, O), E2=d(d(2, d(1, d(2, d(d(2, d(1, A1)), K2)))), O), N2=d(D1, O), O2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H1, d(Y1, L))))), O)))), O), F=d(d(2, d(1, F2)), d(F2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P2=d(d(2, d(1, G2)), d(F, d(d(3, d(3, d(1, Q2))), Q2))), Q=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(V, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), K2)))), O)))))), O))))), R2), S2=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(V, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N2))), K2)))), O)))))), O))))), R2), J2=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(V, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, E1))))), F1)))), O)))), K2)))), O)))))), O))))), R2), T2=d(H1, L), L2=d(d(2, d(1, A)), C1), S=d(K1, 1), J1=d(K1, M2), U2=d(Y1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, J))))), O))), C2)))), O)), L)), B=d(Y1, d(D, d(d(E, d(d(2, d(1, d(F, V2))), d(F, W2))), d(d(2, d(1, d(F, d(I, W2)))), d(F, d(I, V2)))))), A=d(d(2, d(V, d(B1, L))), L), X2=d(d(2, d(V, d(B1, d(d(2, d(U, d(T, R))), d(V, d(X, d(d(2, d(1, I1)), Y2))))))), L), Y=d(C, L), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, F))))), O))), P2)))), O)), L), R2=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y2=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(F, Z2), L1=d(F, A3), B3=d(F, d(I, C3)), N1=d(F, C3), D3=d(F, d(I, E3)), D=d(F, d(I, F3)), G3=d(F, d(I, H3)), V1=d(F, d(I, I3)), J3=d(F, K3), L3=d(F, P1), M3=d(F, d(d(E, d(d(2, d(1, d(F, N3))), d(F, O3))), d(d(2, d(1, d(F, d(I, O3)))), d(F, d(I, N3))))), P3=d(F, R1), X1=d(F, E3), Q3=d(F, F3), Z1=d(F, H3), R3=d(F, T1), S3=d(F, I3), T3=d(U2, d(L1, L)), Q2=d(A, d(d(2, d(1, d(d(2, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K2)))), O))), L))), d(3, d(C, d(d(2, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(V, d(X, d(d(2, d(1, d(2, d(G1, K2)))), O)))))), O)))))), K2)))), O))), L))))), Z2=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A3=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C3=d(I, K3), U3=d(I, d(d(E, d(d(2, d(1, d(F, V3))), d(F, W3))), d(d(2, d(1, d(F, d(I, W3)))), d(F, d(I, V3))))), X3=d(I, d(d(E, d(d(2, d(1, d(F, Y3))), P3)), d(Q1, d(F, d(I, Y3))))), N3=d(I, d(d(E, d(d(2, d(1, d(F, Z3))), R3)), d(S1, d(F, d(I, Z3))))), A4=d(I, d(d(E, d(d(2, d(1, d(F, B4))), d(F, T3))), d(d(2, d(1, d(F, d(I, T3)))), d(F, d(I, B4))))), C4=d(I, d(d(E, d(d(2, d(1, d(F, D4))), L3)), d(O1, d(F, d(I, D4))))), E4=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, d(D2, d(T, T2))))))), O))), d(D2, d(T, O2)))))), O)), L), F4), K3=d(d(E, S2), S2), G4=d(d(E, d(M1, d(F, H4))), d(d(2, d(1, d(F, d(I, H4)))), B3)), I4=d(d(E, d(M1, d(F, J4))), d(d(2, d(1, d(F, d(I, J4)))), B3)), P1=d(d(E, d(d(2, d(1, d(F, U3))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(F, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(F, d(I, U3)))), V3=d(d(E, d(d(2, d(1, d(F, X3))), d(F, A4))), d(d(2, d(1, d(F, d(I, A4)))), d(F, d(I, X3)))), K4=d(d(E, d(d(2, d(1, d(F, C4))), J3)), d(M1, d(F, d(I, C4)))), L4=d(d(E, d(d(2, d(1, d(F, G4))), J3)), d(M1, d(F, d(I, G4)))), M4=d(d(E, d(d(2, d(1, d(F, I4))), J3)), d(M1, d(F, d(I, I4)))), N4=d(d(E, d(d(2, d(1, d(F, L4))), L3)), d(O1, d(F, d(I, L4)))), W3=d(d(E, d(d(2, d(1, d(F, M4))), d(F, O4))), d(d(2, d(1, d(F, d(I, O4)))), d(F, d(I, M4)))), Y3=d(d(E, d(d(2, d(1, d(F, P4))), X1)), d(d(2, d(1, D3)), d(F, d(I, P4)))), O3=d(d(E, d(d(2, d(1, d(F, Q4))), d(F, R4))), d(d(2, d(1, d(F, d(I, R4)))), d(F, d(I, Q4)))), Z3=d(d(E, d(d(2, d(1, d(F, S4))), Z1)), d(d(2, d(1, G3)), d(F, d(I, S4)))), P4=d(d(E, d(W1, P3)), d(Q1, D3)), Q4=d(d(E, d(d(2, d(1, d(F, T4))), Q3)), d(d(2, d(1, D)), d(F, d(I, T4)))), S4=d(d(E, d(Y1, R3)), d(S1, G3)), R1=d(d(E, d(d(2, d(V, d(B1, d(A2, d(V, d(X, d(d(2, d(1, d(2, d(1, d(W1, d(I1, J3)))))), Y2))))))), L)), d(d(2, d(V, d(B1, d(A2, d(V, d(X, d(d(2, d(1, d(2, d(1, d(W1, d(I1, N1)))))), Y2))))))), L)), E3=d(d(E, X2), X2), F4=d(d(E, Y), L2), F3=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, d(U, d(2, d(1, P2)))))))), O))), d(U, H1))))), O)), L)), d(d(2, d(U, d(d(2, d(1, d(2, d(1, E)))), d(B2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), H2)))), O)))))), d(B2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P2))), H2)))), O))))), T4=d(d(E, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, d(V, d(H1, U4))))))), O))), d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H1, d(Y1, U4))))), O)))), O)))))), O)), L)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, d(V, T2)))))), O))), d(V, O2))))), O)), L)), H3=d(d(E, I), I), B4=d(d(E, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(T, d(d(2, d(1, d(2, d(Z, d(T, S))))), O)))))), O))), d(d(2, d(1, d(2, d(Z, d(T, J1))))), O))), L)), d(d(2, d(1, d(2, d(d(2, d(V, d(B1, d(d(2, d(U, d(T, d(1, d(d(2, d(1, d(2, Q))), O))))), d(V, d(X, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, J2))), O))))), Y2))))))), L)))), O)), T1=d(d(E, d(D, d(d(E, d(d(2, d(1, d(F, V4))), S3)), d(U1, d(F, d(I, V4)))))), d(D, d(d(E, d(d(2, d(1, d(F, W4))), S3)), d(U1, d(F, d(I, W4)))))), U4=d(D, d(d(E, d(d(2, d(1, d(F, X4))), d(F, Y4))), d(d(2, d(1, d(F, d(I, Y4)))), d(F, d(I, X4))))), D4=d(M3, d(1, A3)), H4=d(M3, d(1, d(d(E, d(K1, d(F, E4))), d(d(2, d(1, d(F, d(I, E4)))), d(F, d(I, A3)))))), J4=d(M3, d(1, d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, d(d(2, d(1, d(2, d(d(2, d(V, d(B1, d(d(2, d(U, d(T, M))), d(V, d(X, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M2))), I2)))), O)))), O))))), Y2))))))), L)))), O)))))), O))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I1, E1))))), F1)))), O))))), O)), L)))), O4=d(M3, d(1, d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, d(d(2, d(1, d(2, d(d(2, d(V, d(B1, d(d(2, d(U, d(T, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, I2)))), O)))), O))))), d(V, d(X, d(d(2, d(1, d(2, M))), Y2))))))), L)))), O)))))), O))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, R), E1))))), F1)))), O))))), O)), L)))), V4=d(Q3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W4=d(Q3, d(1, Z2)), Z4=d(Q3, d(1, C4)), A5=d(Q3, d(1, d(I, F4))), H=d(Q3, d(1, d(d(E, d(d(2, d(1, d(F, K4))), d(F, N4))), d(d(2, d(1, d(F, d(I, N4)))), d(F, d(I, K4)))))), X4=d(Q3, d(1, F4)), R4=d(Q3, d(1, T4)), I3=d(Q3, L), B5=d(Q3, d(d(2, d(1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(T, P))))), O))), N2)))), O)), L))), J1)), W2=d(Q3, U2), G=d(Q3, B), V2=d(Q3, d(D, d(d(E, d(d(2, d(1, d(F, Z4))), d(F, B5))), d(d(2, d(1, d(F, d(I, B5)))), d(F, d(I, Z4)))))), Y4=d(Q3, d(D, d(d(E, d(d(2, d(1, S3)), d(F, A5))), d(d(2, d(1, d(F, d(I, A5)))), V1))))]).
mm_proof('1fpid3', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), 1), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, 2))), d(d(d(d(2, d(1, 2)), 1), D), 1)))), d(B, d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(B, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(B, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(D, J))))), G))), d(d(2, d(1, L)), d(J, d(d(3, d(3, d(1, M))), M))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), O)))), G)))), H)))), G)))))), G))))), I))))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), N)))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(F, N))))), C=d(2, d(1, d(2, P))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), F=d(2, d(B, Q)), R=d(3, d(F, P)), L=d(3, d(F, d(d(2, d(1, d(2, d(B, d(E, Q))))), G))), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), G=d(D, N), H=d(D, d(d(2, d(1, S)), P)), P=d(B, G), O=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), J=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(C, N))), N), I=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(F, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(B, d(E, d(d(2, d(1, d(2, d(K, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof('3orel1', d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B)))), d(C, d(D, d(d(E, d(d(2, d(1, d(D, F))), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(D, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(D, d(G, F)))))))))), B)-[C=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, E))), P=d(2, d(1, Q)), R=d(2, d(1, d(D, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(1, T)), U=d(2, d(H, d(C, d(1, d(P, L))))), K=d(2, d(I, V)), W=d(3, d(K, N)), X=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, V))))), B))), L=d(d(2, 1), 1), B=d(C, L), Y=d(C, d(d(2, d(1, Z)), N)), N=d(I, B), E=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), B)))), Y)))), B))), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), Y)))), B), D=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(R, 1), Q=d(R, d(M, B)), Z=d(d(2, d(I, d(M, L))), L), B1=d(d(2, d(I, d(M, d(d(2, d(H, d(C, d(1, A1)))), d(I, d(J, d(d(2, d(1, P)), A))))))), L), C1=d(d(2, d(I, d(M, d(d(2, d(H, d(C, d(1, d(S, d(P, Q)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(M, d(U, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, A1)))))), A))))))), L))))), A))))))), L), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(C, D))))), B))), d(d(2, d(1, X)), d(D, d(d(3, d(3, d(1, D1))), D1))))))), B)), L), A=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(D, d(G, F1)), T=d(D, F1), D1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), B))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, Y)))), B)))))), B)))))), Y)))), B))), L))))), F=d(d(E, d(d(2, d(1, d(D, G1))), T)), d(d(2, d(1, E1)), d(D, d(G, G1)))), G1=d(d(E, d(d(2, d(1, d(D, H1))), d(D, I1))), d(d(2, d(1, d(D, d(G, I1)))), d(D, d(G, H1)))), H1=d(d(E, d(d(2, d(I, d(M, d(U, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, T)))))), A))))))), L)), d(d(2, d(I, d(M, d(U, d(I, d(J, d(d(2, d(1, d(2, d(1, d(S, d(P, E1)))))), A))))))), L)), F1=d(d(E, B1), B1), I1=d(d(E, C1), C1)]).
mm_proof('3orrot', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, A))), O=d(2, d(1, P)), Q=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), T=d(2, d(1, U)), V=d(2, d(1, W)), X=d(2, d(G, d(F, d(1, d(O, K))))), J=d(2, d(H, Y)), Z=d(3, d(J, M)), A1=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, Y))))), B1))), K=d(d(2, 1), 1), B1=d(F, K), C1=d(F, d(d(2, d(1, D1)), M)), M=d(H, B1), A=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), B1)))), C1)))), B1))), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), C1)))), B1), B=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(S, 1), P=d(S, d(L, B1)), D1=d(d(2, d(H, d(L, K))), K), F1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, E1)))), d(H, d(I, d(d(2, d(1, O)), G1))))))), K), H1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, d(V, d(O, P)))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(H, d(L, d(X, d(H, d(I, d(d(2, d(1, d(2, d(1, d(V, d(O, E1)))))), G1))))))), K))))), G1))))))), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, B))))), B1))), d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, I1))), I1))))))), B1)), K), G1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(B, d(E, J1)), W=d(B, J1), I1=d(D1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), B1))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(N, C1)))), B1)))))), B1)))))), C1)))), B1))), K))))), R=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(d(A, d(Q, W)), d(T, d(B, d(E, R)))), D=d(d(A, d(d(2, d(1, d(B, K1))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(Q, d(B, d(E, K1)))), K1=d(d(A, d(d(2, d(1, d(B, L1))), W)), d(T, d(B, d(E, L1)))), L1=d(d(A, d(d(2, d(1, d(B, M1))), d(B, N1))), d(d(2, d(1, d(B, d(E, N1)))), d(B, d(E, M1)))), M1=d(d(A, d(d(2, d(H, d(L, d(X, d(H, d(I, d(d(2, d(1, d(2, d(1, d(V, d(O, W)))))), G1))))))), K)), d(d(2, d(H, d(L, d(X, d(H, d(I, d(d(2, d(1, d(2, d(1, d(V, d(O, U)))))), G1))))))), K)), J1=d(d(A, F1), F1), N1=d(d(A, H1), H1)]).
mm_proof('3orcoma', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, Q)), R=d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(1, d(B, S))), T=d(2, d(1, d(B, d(F, U)))), V=d(2, d(1, W)), X=d(2, d(H, d(G, d(1, d(P, L))))), K=d(2, d(I, Y)), Z=d(3, d(K, N)), A1=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, Y))))), B1))), L=d(d(2, 1), 1), B1=d(G, L), C1=d(G, d(d(2, d(1, D1)), N)), N=d(I, B1), A=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), B1)))), C1)))), B1))), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), C1)))), B1), B=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(R, 1), Q=d(R, d(M, B1)), D1=d(d(2, d(I, d(M, L))), L), F1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, E1)))), d(I, d(J, d(d(2, d(1, P)), G1))))))), L), H1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(V, d(P, Q)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(M, d(X, d(I, d(J, d(d(2, d(1, d(2, d(1, d(V, d(P, E1)))))), G1))))))), L))))), G1))))))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, B))))), B1))), d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, I1))), I1))))))), B1)), L), G1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(B, d(F, K1)), W=d(B, K1), L1=d(B, U), I1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), B1))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, C1)))), B1)))))), B1)))))), C1)))), B1))), L))))), S=d(F, D), C=d(d(A, d(E, L1)), d(T, d(B, d(F, S)))), D=d(d(A, d(d(2, d(1, d(B, M1))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(F, M1)))), M1=d(d(A, d(d(2, d(1, d(B, N1))), W)), d(d(2, d(1, J1)), d(B, d(F, N1)))), N1=d(d(A, d(d(2, d(1, d(B, O1))), L1)), d(T, d(B, d(F, O1)))), O1=d(d(A, d(d(2, d(I, d(M, d(X, d(I, d(J, d(d(2, d(1, d(2, d(1, d(V, d(P, W)))))), G1))))))), L)), d(d(2, d(I, d(M, d(X, d(I, d(J, d(d(2, d(1, d(2, d(1, d(V, d(P, J1)))))), G1))))))), L)), K1=d(d(A, F1), F1), U=d(d(A, H1), H1)]).
mm_proof('3ancoma', d(d(A, d(B, d(C, D))), d(d(2, d(1, d(C, d(E, D)))), d(C, d(E, F))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, C)), B=d(2, d(1, d(C, F))), P=d(2, d(1, d(C, d(E, Q)))), R=d(2, d(1, S)), T=d(2, d(1, U)), V=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, W))))), d(1, X)))), Y=d(2, d(I, Z)), A1=d(3, d(Y, B1)), C1=d(3, d(Y, d(d(2, d(1, d(2, d(I, d(J, Z))))), W))), N=d(d(2, 1), 1), D1=d(G, 1), W=d(G, N), E1=d(G, F1), B1=d(I, W), G1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), E1)))), W)), H1=d(d(2, d(1, d(2, d(1, d(M, I1))))), G1), A=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1), X=d(d(2, d(1, d(2, N))), W), Z=d(d(2, d(1, d(2, d(d(2, d(1, M)), E1)))), W), J1=d(d(2, d(1, d(2, H1))), W), C=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, C1)), d(C, d(d(3, d(3, d(1, L1))), L1))), M1=d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), E1)))), W)))))), W))))), N1), F1=d(d(2, d(1, O1)), B1), O1=d(d(2, d(I, d(d(2, d(1, d(2, B1))), N))), N), K=d(Y, N), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), W))), K1)))), W)), N), N1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(C, P1), Q1=d(C, R1), S1=d(C, d(E, T1)), U1=d(C, d(E, V1)), S=d(C, d(E, W1)), X1=d(C, T1), U=d(C, V1), Y1=d(C, Q), Z1=d(C, W1), L1=d(O1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), W))), N))), d(3, d(Y, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, E1)))), W)))))), W)))))), E1)))), W))), N))))), P1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A2=d(E, B2), R1=d(E, C2), F=d(E, D2), E2=d(E, d(d(A, d(d(2, d(1, d(C, F2))), Y1)), d(P, d(C, d(E, F2))))), B2=d(d(A, M1), M1), C2=d(d(A, d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, J1)), I1))))), G1)))))), W)))), E1)))), W)))))), W))))), N1)))), E1)))), W)))))), W))))), N1)), d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(G, d(d(2, d(1, d(2, d(V, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H1)), I1))))), G1)))))), W)))))), W)))), E1)))), W)))))), W))))), N1)))), W)))), E1)))), W)))))), W))))), N1)), G2=d(d(A, d(d(2, d(1, d(C, A2))), d(C, H2))), d(d(2, d(1, d(C, d(E, H2)))), d(C, d(E, A2)))), H2=d(d(A, d(d(2, d(1, Q1)), d(C, I2))), d(d(2, d(1, d(C, d(E, I2)))), d(C, d(E, R1)))), D2=d(d(A, d(d(2, d(1, d(C, C2))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Q1)), D=d(d(A, d(d(2, d(1, d(C, G2))), d(C, D2))), d(B, d(C, d(E, G2)))), J2=d(d(A, d(d(2, d(1, d(C, K2))), d(C, L2))), d(d(2, d(1, d(C, d(E, L2)))), d(C, d(E, K2)))), F2=d(d(A, d(d(2, d(1, d(C, M2))), U)), d(d(2, d(1, U1)), d(C, d(E, M2)))), K2=d(d(A, d(d(2, d(1, d(C, N2))), X1)), d(d(2, d(1, S1)), d(C, d(E, N2)))), M2=d(d(A, d(T, Y1)), d(P, U1)), O2=d(d(A, K), F1), T1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, K1)))))))), W))), d(H, O))))), W)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(V, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), D1)))), W)))))), d(V, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), D1)))), W))))), N2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, P2))))))), W))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(T, P2))))), W)))), W)))))), W)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), W))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(T, N))))), W)))), W)))))), W)), N)), V1=d(d(A, E), E), Q=d(d(A, d(S1, d(d(A, d(d(2, d(1, d(C, Q2))), Z1)), d(R, d(C, d(E, Q2)))))), d(S1, d(d(A, d(d(2, d(1, d(C, R2))), Z1)), d(R, d(C, d(E, R2)))))), P2=d(S1, d(d(A, d(d(2, d(1, d(C, S2))), d(C, T2))), d(d(2, d(1, d(C, d(E, T2)))), d(C, d(E, S2))))), I2=d(d(C, d(d(A, d(d(2, d(1, d(C, E2))), d(C, J2))), d(d(2, d(1, d(C, d(E, J2)))), d(C, d(E, E2))))), d(1, B2)), Q2=d(X1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R2=d(X1, d(1, P1)), U2=d(X1, d(1, d(E, O2))), S2=d(X1, d(1, O2)), L2=d(X1, d(1, N2)), W1=d(X1, N), T2=d(X1, d(S1, d(d(A, d(d(2, d(1, Z1)), d(C, U2))), d(d(2, d(1, d(C, d(E, U2)))), S))))]).
mm_proof('3anrot', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, M)), N=d(2, d(1, B)), O=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), P=d(2, d(1, d(B, Q))), R=d(2, d(1, S)), T=d(2, d(1, d(B, U))), V=d(2, d(1, d(B, d(E, W)))), X=d(2, d(1, d(B, d(E, Y)))), Z=d(2, d(1, A1)), B1=d(2, d(1, C1)), D1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, E1))))), d(1, F1)))), G1=d(2, d(H, H1)), I1=d(3, d(G1, J1)), K1=d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, H1))))), E1))), M=d(d(2, 1), 1), L1=d(F, 1), E1=d(F, M), M1=d(F, N1), J1=d(H, E1), O1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), M1)))), E1)), P1=d(d(2, d(1, d(2, d(1, d(L, Q1))))), O1), A=d(d(2, d(1, d(2, d(1, d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O1), F1=d(d(2, d(1, d(2, M))), E1), H1=d(d(2, d(1, d(2, d(d(2, d(1, L)), M1)))), E1), R1=d(d(2, d(1, d(2, P1))), E1), B=d(d(2, d(1, I1)), d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(d(2, d(1, K1)), d(B, d(d(3, d(3, d(1, T1))), T1))), U1=d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R1))), M1)))), E1)))))), E1))))), V1), N1=d(d(2, d(1, W1)), J1), W1=d(d(2, d(H, d(d(2, d(1, d(2, J1))), M))), M), J=d(G1, M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), E1))), S1)))), E1)), M), X1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(B, Y1), Z1=d(B, d(E, Q)), A2=d(B, d(E, B2)), S=d(B, B2), C2=d(B, d(E, D2)), E2=d(B, d(E, F2)), A1=d(B, d(E, G2)), H2=d(B, d(d(A, d(d(2, d(1, d(B, I2))), d(B, J2))), d(d(2, d(1, d(B, d(E, J2)))), d(B, d(E, I2))))), K2=d(B, D2), C1=d(B, F2), L2=d(B, W), M2=d(B, Y), N2=d(B, G2), T1=d(W1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1)))), E1))), M))), d(3, d(G1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, M1)))), E1)))))), E1)))))), M1)))), E1))), M))))), Y1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(E, O2), B2=d(E, P2), U=d(E, Q2), R2=d(E, d(d(A, d(d(2, d(1, d(B, S2))), X1)), d(O, d(B, d(E, S2))))), T2=d(E, d(d(A, d(d(2, d(1, d(B, U2))), d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), d(B, d(E, U2))))), I2=d(E, d(d(A, d(d(2, d(1, d(B, W2))), L2)), d(V, d(B, d(E, W2))))), O2=d(d(A, U1), U1), P2=d(d(A, d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D1, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, R1)), Q1))))), O1)))))), E1)))), M1)))), E1)))))), E1))))), V1)))), M1)))), E1)))))), E1))))), V1)), d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D1, d(F, d(d(2, d(1, d(2, d(D1, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P1)), Q1))))), O1)))))), E1)))))), E1)))), M1)))), E1)))))), E1))))), V1)))), E1)))), M1)))), E1)))))), E1))))), V1)), S2=d(d(A, d(P, d(B, T2))), d(d(2, d(1, d(B, d(E, T2)))), Z1)), X2=d(d(A, d(P, d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), Z1)), Z2=d(d(A, d(P, M2)), d(X, Z1)), V2=d(d(A, d(R, d(B, A3))), d(d(2, d(1, d(B, d(E, A3)))), A2)), Y2=d(d(A, d(R, M2)), d(X, A2)), D=d(d(A, d(T, d(B, B3))), d(d(2, d(1, d(B, d(E, B3)))), d(B, d(E, U)))), C=d(d(A, d(d(2, d(1, d(B, R2))), X1)), d(O, d(B, d(E, R2)))), Q2=d(d(A, d(d(2, d(1, d(B, P2))), X1)), d(O, S)), B3=d(d(A, d(d(2, d(1, d(B, X2))), d(B, Q2))), d(T, d(B, d(E, X2)))), U2=d(d(A, d(d(2, d(1, d(B, Z2))), d(B, O2))), d(P, d(B, d(E, Z2)))), J2=d(d(A, d(d(2, d(1, d(B, C3))), d(B, D3))), d(d(2, d(1, d(B, d(E, D3)))), d(B, d(E, C3)))), W2=d(d(A, d(d(2, d(1, d(B, E3))), C1)), d(d(2, d(1, E2)), d(B, d(E, E3)))), C3=d(d(A, d(d(2, d(1, d(B, F3))), K2)), d(d(2, d(1, C2)), d(B, d(E, F3)))), E3=d(d(A, d(B1, L2)), d(V, E2)), G3=d(d(A, J), N1), D2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, S1)))))))), E1))), d(G, N))))), E1)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(D1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), L1)))), E1)))))), d(D1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S1))), L1)))), E1))))), F3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, H3))))))), E1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(B1, H3))))), E1)))), E1)))))), E1)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), E1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(B1, M))))), E1)))), E1)))))), E1)), M)), F2=d(d(A, E), E), W=d(d(A, d(C2, d(d(A, d(d(2, d(1, d(B, I3))), N2)), d(Z, d(B, d(E, I3)))))), d(C2, d(d(A, d(d(2, d(1, d(B, J3))), N2)), d(Z, d(B, d(E, J3)))))), H3=d(C2, d(d(A, d(d(2, d(1, d(B, K3))), d(B, L3))), d(d(2, d(1, d(B, d(E, L3)))), d(B, d(E, K3))))), A3=d(H2, d(1, d(d(A, M), M))), Y=d(H2, d(1, O2)), I3=d(K2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J3=d(K2, d(1, Y1)), M3=d(K2, d(1, d(E, G3))), K3=d(K2, d(1, G3)), D3=d(K2, d(1, F3)), G2=d(K2, M), L3=d(K2, d(C2, d(d(A, d(d(2, d(1, N2)), d(B, M3))), d(d(2, d(1, d(B, d(E, M3)))), A1))))]).
mm_proof(anandi3, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, O)), P=d(2, d(1, B)), Q=d(2, d(1, d(B, R))), S=d(2, d(1, T)), U=d(2, d(1, d(B, d(E, V)))), W=d(2, d(1, X)), Y=d(2, d(1, Z)), A1=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, B1))))), d(1, C1)))), D1=d(2, d(J, E1)), F1=d(3, d(D1, G1)), H1=d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, E1))))), B1))), O=d(d(2, 1), 1), I1=d(H, 1), B1=d(H, O), J1=d(H, K1), G1=d(J, B1), L1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), J1)))), B1)), M1=d(d(2, d(1, d(2, d(1, d(N, N1))))), L1), A=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1), C1=d(d(2, d(1, d(2, O))), B1), E1=d(d(2, d(1, d(2, d(d(2, d(1, N)), J1)))), B1), O1=d(d(2, d(1, d(2, M1))), B1), B=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(1, H1)), Q1), R1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), J1)))), B1)))))), B1))))), S1), T1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), J1)))), B1)))))), B1))))), S1), K1=d(d(2, d(1, U1)), G1), U1=d(d(2, d(J, d(d(2, d(1, d(2, G1))), O))), O), L=d(D1, O), V1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(1, R1)))))), B1))), O1)))), B1)), O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, B))))), B1))), P1)))), B1)), O), W1=d(d(3, d(3, d(1, X1))), X1), S1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(B, W1), N1=d(B, Y1), Z1=d(B, d(E, R)), A2=d(B, d(E, B2)), T=d(B, B2), C2=d(B, d(E, D2)), E2=d(B, d(E, F2)), X=d(B, d(E, G2)), H2=d(B, I2), J2=d(B, d(d(A, d(d(2, d(1, d(B, K2))), d(B, L2))), d(d(2, d(1, d(B, d(E, L2)))), d(B, d(E, K2))))), M2=d(B, D2), Z=d(B, F2), N2=d(B, V), O2=d(B, G2), X1=d(U1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), B1))), O))), d(3, d(D1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, J1)))), B1)))))), B1)))))), J1)))), B1))), O))))), P2=d(V1, R1), Y1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(E, G), B2=d(E, I2), Q2=d(E, d(d(A, d(d(2, d(1, N1)), Q1)), d(d(2, d(1, d(B, d(E, W1)))), d(B, d(E, Y1))))), R2=d(E, d(d(A, d(d(2, d(1, d(B, S2))), d(B, G))), d(Q, d(B, d(E, S2))))), K2=d(E, d(d(A, d(d(2, d(1, d(B, T2))), N2)), d(U, d(B, d(E, T2))))), G=d(d(A, T1), T1), I2=d(d(A, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O1)), N1))))), L1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), J1)))), B1)))))), B1))))), S1)), d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), N1))))), L1)))))), B1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), B1)))), J1)))), B1)))))), B1))))), S1)), S2=d(d(A, d(Q, d(B, U2))), d(d(2, d(1, d(B, d(E, U2)))), Z1)), V2=d(d(A, d(S, d(B, W2))), d(d(2, d(1, d(B, d(E, W2)))), A2)), X2=d(d(A, d(S, d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), A2)), Z2=d(d(A, d(d(2, d(1, d(B, Q2))), d(B, P2))), d(d(2, d(1, d(B, d(E, P2)))), d(B, d(E, Q2)))), D=d(d(A, d(d(2, d(1, H2)), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), T)), A3=d(d(A, d(d(2, d(1, d(B, X2))), H2)), d(S, d(B, d(E, X2)))), C=d(d(A, d(d(2, d(1, d(B, A3))), d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), d(B, d(E, A3)))), L2=d(d(A, d(d(2, d(1, d(B, B3))), d(B, C3))), d(d(2, d(1, d(B, d(E, C3)))), d(B, d(E, B3)))), T2=d(d(A, d(d(2, d(1, d(B, D3))), Z)), d(d(2, d(1, E2)), d(B, d(E, D3)))), B3=d(d(A, d(d(2, d(1, d(B, E3))), M2)), d(d(2, d(1, C2)), d(B, d(E, E3)))), D3=d(d(A, d(Y, N2)), d(U, E2)), F3=d(d(A, L), K1), D2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, P1)))))))), B1))), d(I, P))))), B1)), O)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(A1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), I1)))), B1)))))), d(A1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P1))), I1)))), B1))))), E3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, G3))))))), B1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Y, G3))))), B1)))), B1)))))), B1)), O)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, O))))))), B1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Y, O))))), B1)))), B1)))))), B1)), O)), F2=d(d(A, E), E), V=d(d(A, d(C2, d(d(A, d(d(2, d(1, d(B, H3))), O2)), d(W, d(B, d(E, H3)))))), d(C2, d(d(A, d(d(2, d(1, d(B, I3))), O2)), d(W, d(B, d(E, I3)))))), G3=d(C2, d(d(A, d(d(2, d(1, d(B, J3))), d(B, K3))), d(d(2, d(1, d(B, d(E, K3)))), d(B, d(E, J3))))), U2=d(J2, d(1, d(E, d(d(B, d(d(A, d(d(2, d(1, d(B, Z2))), d(B, L3))), d(d(2, d(1, d(B, d(E, L3)))), d(B, d(E, Z2))))), O)))), W2=d(J2, F), Y2=d(J2, d(1, d(d(A, d(Q, d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), Z1)))), H3=d(M2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I3=d(M2, d(1, Y1)), M3=d(M2, d(1, d(E, F3))), N3=d(M2, F), J3=d(M2, d(1, F3)), C3=d(M2, d(1, E3)), G2=d(M2, O), O3=d(M2, V1), L3=d(M2, d(C2, d(d(A, d(d(2, d(1, d(B, N3))), d(B, O3))), d(d(2, d(1, d(B, d(E, O3)))), d(B, d(E, N3)))))), K3=d(M2, d(C2, d(d(A, d(d(2, d(1, O2)), d(B, M3))), d(d(2, d(1, d(B, d(E, M3)))), X))))]).
mm_proof(anandi3r, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, O)), P=d(2, d(1, B)), Q=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, T))), U=d(2, d(1, d(B, d(E, V)))), W=d(2, d(1, d(B, d(E, X)))), Y=d(2, d(1, Z)), A1=d(2, d(1, B1)), C1=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, D1))))), d(1, E1)))), F1=d(2, d(J, G1)), H1=d(3, d(F1, I1)), J1=d(3, d(F1, d(d(2, d(1, d(2, d(J, d(K, G1))))), D1))), O=d(d(2, 1), 1), K1=d(H, 1), D1=d(H, O), L1=d(H, M1), I1=d(J, D1), N1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), L1)))), D1)), O1=d(d(2, d(1, d(2, d(1, d(N, P1))))), N1), A=d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N1), E1=d(d(2, d(1, d(2, O))), D1), G1=d(d(2, d(1, d(2, d(d(2, d(1, N)), L1)))), D1), Q1=d(d(2, d(1, d(2, O1))), D1), B=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R1=d(d(2, d(1, J1)), S1), T1=d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), L1)))), D1)))))), D1))))), U1), V1=d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q1))), L1)))), D1)))))), D1))))), U1), M1=d(d(2, d(1, W1)), I1), W1=d(d(2, d(J, d(d(2, d(1, d(2, I1))), O))), O), L=d(F1, O), X1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(1, T1)))))), D1))), Q1)))), D1)), O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, B))))), D1))), R1)))), D1)), O), Y1=d(d(3, d(3, d(1, Z1))), Z1), U1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(B, Y1), P1=d(B, A2), B2=d(B, d(E, R)), C2=d(B, d(E, T)), D2=d(B, d(E, E2)), F2=d(B, d(E, G2)), Z=d(B, d(E, H2)), I2=d(B, d(d(A, d(d(2, d(1, d(B, J2))), d(B, K2))), d(d(2, d(1, d(B, d(E, K2)))), d(B, d(E, J2))))), L2=d(B, E2), B1=d(B, G2), M2=d(B, V), N2=d(B, X), O2=d(B, H2), Z1=d(W1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1)))), D1))), O))), d(3, d(F1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, L1)))), D1)))))), D1)))))), L1)))), D1))), O))))), P2=d(X1, T1), A2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(E, G), T=d(E, Q2), R2=d(E, d(d(A, d(d(2, d(1, P1)), S1)), d(d(2, d(1, d(B, d(E, Y1)))), d(B, d(E, A2))))), S2=d(E, d(d(A, d(d(2, d(1, d(B, T2))), d(B, U2))), d(d(2, d(1, d(B, d(E, U2)))), d(B, d(E, T2))))), J2=d(E, d(d(A, d(d(2, d(1, d(B, V2))), M2)), d(U, d(B, d(E, V2))))), W2=d(E, d(I2, d(1, d(E, d(d(B, d(d(A, d(d(2, d(1, d(B, X2))), d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), d(B, d(E, X2))))), O))))), G=d(d(A, V1), V1), Q2=d(d(A, d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C1, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Q1)), P1))))), N1)))))), D1)))), L1)))), D1)))))), D1))))), U1)))), L1)))), D1)))))), D1))))), U1)), d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C1, d(H, d(d(2, d(1, d(2, d(C1, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O1)), P1))))), N1)))))), D1)))))), D1)))), L1)))), D1)))))), D1))))), U1)))), D1)))), L1)))), D1)))))), D1))))), U1)), Z2=d(d(A, d(Q, d(B, S2))), d(d(2, d(1, d(B, d(E, S2)))), B2)), A3=d(d(A, d(Q, N2)), d(W, B2)), U2=d(d(A, d(S, d(B, B3))), d(d(2, d(1, d(B, d(E, B3)))), C2)), C3=d(d(A, d(S, N2)), d(W, C2)), D3=d(d(A, d(S, d(B, E3))), d(d(2, d(1, d(B, d(E, E3)))), C2)), X2=d(d(A, d(d(2, d(1, d(B, R2))), d(B, P2))), d(d(2, d(1, d(B, d(E, P2)))), d(B, d(E, R2)))), D=d(d(A, d(d(2, d(1, d(B, Z2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, Z2)))), T2=d(d(A, d(d(2, d(1, d(B, A3))), d(B, G))), d(Q, d(B, d(E, A3)))), F3=d(d(A, d(d(2, d(1, d(B, D3))), d(B, Q2))), d(S, d(B, d(E, D3)))), C=d(d(A, d(d(2, d(1, d(B, F3))), d(B, W2))), d(d(2, d(1, d(B, d(E, W2)))), d(B, d(E, F3)))), K2=d(d(A, d(d(2, d(1, d(B, G3))), d(B, H3))), d(d(2, d(1, d(B, d(E, H3)))), d(B, d(E, G3)))), V2=d(d(A, d(d(2, d(1, d(B, I3))), B1)), d(d(2, d(1, F2)), d(B, d(E, I3)))), G3=d(d(A, d(d(2, d(1, d(B, J3))), L2)), d(d(2, d(1, D2)), d(B, d(E, J3)))), I3=d(d(A, d(A1, M2)), d(U, F2)), K3=d(d(A, L), M1), E2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, R1)))))))), D1))), d(I, P))))), D1)), O)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(C1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), K1)))), D1)))))), d(C1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R1))), K1)))), D1))))), J3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, L3))))))), D1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(A1, L3))))), D1)))), D1)))))), D1)), O)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, O))))))), D1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(A1, O))))), D1)))), D1)))))), D1)), O)), G2=d(d(A, E), E), V=d(d(A, d(D2, d(d(A, d(d(2, d(1, d(B, M3))), O2)), d(Y, d(B, d(E, M3)))))), d(D2, d(d(A, d(d(2, d(1, d(B, N3))), O2)), d(Y, d(B, d(E, N3)))))), L3=d(D2, d(d(A, d(d(2, d(1, d(B, O3))), d(B, P3))), d(d(2, d(1, d(B, d(E, P3)))), d(B, d(E, O3))))), B3=d(I2, d(1, d(d(A, O), O))), X=d(I2, F), E3=d(I2, d(1, d(d(A, d(Q, d(B, C3))), d(d(2, d(1, d(B, d(E, C3)))), B2)))), M3=d(L2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N3=d(L2, d(1, A2)), Q3=d(L2, d(1, d(E, K3))), R3=d(L2, F), O3=d(L2, d(1, K3)), H3=d(L2, d(1, J3)), H2=d(L2, O), S3=d(L2, X1), Y2=d(L2, d(D2, d(d(A, d(d(2, d(1, d(B, R3))), d(B, S3))), d(d(2, d(1, d(B, d(E, S3)))), d(B, d(E, R3)))))), P3=d(L2, d(D2, d(d(A, d(d(2, d(1, O2)), d(B, Q3))), d(d(2, d(1, d(B, d(E, Q3)))), Z))))]).
mm_proof('3anidm', d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, C))))-[E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(I, J))))), K=d(2, d(1, d(2, A))), L=d(2, d(1, J)), M=d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, N))))), d(1, O)))), I=d(2, d(G, P)), Q=d(3, d(I, R)), S=d(3, d(I, d(d(2, d(1, d(2, d(G, d(H, P))))), N))), J=d(d(2, 1), 1), T=d(E, 1), N=d(E, J), U=d(E, d(d(2, d(1, V)), R)), R=d(G, N), W=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), U)))), N)), A=d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W), O=d(d(2, d(1, d(2, J))), N), P=d(d(2, d(1, d(2, d(d(2, d(1, L)), U)))), N), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, Y))))), W)))), N), B=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, S)), A1), B1=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), U)))), N)))))), N))))), C1), D1=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), U)))), N)))))), N))))), C1), V=d(d(2, d(G, d(d(2, d(1, d(2, R))), J))), J), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(E, d(1, B1)))))), N))), X)))), N)), J), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(E, B))))), N))), Z)))), N)), J), F1=d(d(3, d(3, d(1, G1))), G1), C1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A1=d(B, F1), Y=d(B, H1), I1=d(B, d(d(A, d(d(2, d(1, d(B, J1))), d(B, K1))), d(d(2, d(1, d(B, d(D, K1)))), d(B, d(D, J1))))), L1=d(B, M1), G1=d(V, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), N))), J))), d(3, d(I, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(K, U)))), N)))))), N)))))), U)))), N))), J))))), N1=d(E1, B1), H1=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(D, d(d(A, d(d(2, d(1, Y)), A1)), d(d(2, d(1, d(B, d(D, F1)))), d(B, d(D, H1))))), P1=d(D, d(I1, J)), Q1=d(D, d(I1, B1)), J1=d(d(A, d(d(2, d(1, d(B, O1))), d(B, N1))), d(d(2, d(1, d(B, d(D, N1)))), d(B, d(D, O1)))), C=d(d(A, d(d(2, d(1, d(B, P1))), d(B, Q1))), d(d(2, d(1, d(B, d(D, Q1)))), d(B, d(D, P1)))), M1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(E, d(F, d(2, d(1, Z)))))))), N))), d(F, d(2, d(1, B))))))), N)), J)), d(d(2, d(F, d(d(2, d(1, d(2, d(1, A)))), d(M, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), T)))), N)))))), d(M, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), T)))), N))))), R1=d(L1, d(1, d(d(A, D1), D1))), S1=d(L1, E1), K1=d(L1, d(d(B, d(D, M1)), d(d(A, d(d(2, d(1, d(B, R1))), d(B, S1))), d(d(2, d(1, d(B, d(D, S1)))), d(B, d(D, R1))))))]).
mm_proof('3an4anass', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, M)), N=d(2, d(1, B)), O=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, d(E, R)))), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, X))))), d(1, Y)))), Z=d(2, d(H, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, A1))))), X))), M=d(d(2, 1), 1), E1=d(F, 1), X=d(F, M), F1=d(F, G1), C1=d(H, X), H1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), F1)))), X)), I1=d(d(2, d(1, d(2, d(1, d(L, J1))))), H1), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1), Y=d(d(2, d(1, d(2, M))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, L)), F1)))), X), K1=d(d(2, d(1, d(2, I1))), X), B=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, D1)), d(B, d(d(3, d(3, d(1, M1))), M1))), N1=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), F1)))), X)))))), X))))), O1), G1=d(d(2, d(1, P1)), C1), P1=d(d(2, d(H, d(d(2, d(1, d(2, C1))), M))), M), J=d(Z, M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), X))), L1)))), X)), M), O1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(B, Q1), R1=d(B, d(E, S1)), T1=d(B, d(E, U1)), T=d(B, d(E, V1)), W1=d(B, S1), V=d(B, U1), X1=d(B, R), Y1=d(B, V1), M1=d(P1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), X))), M))), d(3, d(Z, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, F1)))), X)))))), X)))))), F1)))), X))), M))))), Q1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(E, Z1), A2=d(E, d(d(A, d(d(2, d(1, d(B, B2))), X1)), d(Q, d(B, d(E, B2))))), Z1=d(d(A, N1), N1), C=d(d(A, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K1)), J1))))), H1)))))), X)))), F1)))), X)))))), X))))), O1)))), F1)))), X)))))), X))))), O1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(F, d(d(2, d(1, d(2, d(W, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I1)), J1))))), H1)))))), X)))))), X)))), F1)))), X)))))), X))))), O1)))), X)))), F1)))), X)))))), X))))), O1)), C2=d(d(A, d(O, d(B, D2))), d(d(2, d(1, d(B, d(E, D2)))), d(B, d(E, P)))), D=d(d(A, d(d(2, d(1, d(B, C2))), d(B, Z1))), d(O, d(B, d(E, C2)))), E2=d(d(A, d(d(2, d(1, d(B, F2))), d(B, G2))), d(d(2, d(1, d(B, d(E, G2)))), d(B, d(E, F2)))), B2=d(d(A, d(d(2, d(1, d(B, H2))), V)), d(d(2, d(1, T1)), d(B, d(E, H2)))), F2=d(d(A, d(d(2, d(1, d(B, I2))), W1)), d(d(2, d(1, R1)), d(B, d(E, I2)))), H2=d(d(A, d(U, X1)), d(Q, T1)), J2=d(d(A, J), G1), S1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, L1)))))))), X))), d(G, N))))), X)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(W, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), E1)))), X)))))), d(W, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), E1)))), X))))), I2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, K2))))))), X))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(U, K2))))), X)))), X)))))), X)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), X))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(U, M))))), X)))), X)))))), X)), M)), U1=d(d(A, E), E), R=d(d(A, d(R1, d(d(A, d(d(2, d(1, d(B, L2))), Y1)), d(S, d(B, d(E, L2)))))), d(R1, d(d(A, d(d(2, d(1, d(B, M2))), Y1)), d(S, d(B, d(E, M2)))))), K2=d(R1, d(d(A, d(d(2, d(1, d(B, N2))), d(B, O2))), d(d(2, d(1, d(B, d(E, O2)))), d(B, d(E, N2))))), D2=d(d(B, d(d(A, d(d(2, d(1, d(B, A2))), d(B, E2))), d(d(2, d(1, d(B, d(E, E2)))), d(B, d(E, A2))))), d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L2=d(W1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M2=d(W1, d(1, Q1)), P2=d(W1, d(1, d(E, J2))), N2=d(W1, d(1, J2)), G2=d(W1, d(1, I2)), V1=d(W1, M), O2=d(W1, d(R1, d(d(A, d(d(2, d(1, Y1)), d(B, P2))), d(d(2, d(1, d(B, d(E, P2)))), T))))]).
mm_proof('3ioran', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, M)), N=d(2, d(1, B)), O=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, d(E, T)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, Z))))), d(1, A1)))), B1=d(2, d(H, C1)), D1=d(3, d(B1, E1)), F1=d(3, d(B1, d(d(2, d(1, d(2, d(H, d(I, C1))))), Z))), M=d(d(2, 1), 1), G1=d(F, 1), Z=d(F, M), H1=d(F, I1), E1=d(H, Z), J1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), H1)))), Z)), A=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), A1=d(d(2, d(1, d(2, M))), Z), C1=d(d(2, d(1, d(2, d(d(2, d(1, L)), H1)))), Z), B=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, F1)), d(B, d(d(3, d(3, d(1, L1))), L1))), M1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(B, N1)))))), J1)))), Z)))), H1)))), Z)))))), Z))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, O1)), E1), O1=d(d(2, d(H, d(d(2, d(1, d(2, E1))), M))), M), J=d(B1, M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), Z))), K1)))), Z)), M), P1=d(B, d(E, Q1)), R1=d(B, d(E, S1)), T1=d(B, d(E, U1)), V=d(B, d(E, V1)), W1=d(B, X1), Y1=d(B, Q1), Z1=d(B, A2), X=d(B, S1), B2=d(B, T), C2=d(B, U1), D2=d(B, V1), L1=d(O1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Z))), M))), d(3, d(B1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, H1)))), Z)))))), Z)))))), H1)))), Z))), M))))), E2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(E, F2), G2=d(E, d(d(A, d(d(2, d(1, d(B, H2))), B2)), d(S, d(B, d(E, H2))))), I2=d(E, d(d(A, d(d(2, d(1, d(B, J2))), W1)), d(Q, d(B, d(E, J2))))), R=d(E, X1), K2=d(E, d(Z1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), L2=d(E, d(Z1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), F2=d(d(A, M1), M1), C=d(d(A, d(d(2, d(1, d(B, E2))), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), d(B, d(E, E2)))), N2=d(d(A, d(O, d(B, O2))), d(d(2, d(1, d(B, d(E, O2)))), d(B, d(E, P)))), P2=d(d(A, d(d(2, d(1, d(B, I2))), d(B, L2))), d(d(2, d(1, d(B, d(E, L2)))), d(B, d(E, I2)))), M2=d(d(A, d(d(2, d(1, d(B, N2))), d(B, F2))), d(O, d(B, d(E, N2)))), D=d(d(A, d(d(2, d(1, d(B, P2))), d(B, K2))), d(d(2, d(1, d(B, d(E, K2)))), d(B, d(E, P2)))), Q2=d(d(A, d(d(2, d(1, d(B, R2))), d(B, S2))), d(d(2, d(1, d(B, d(E, S2)))), d(B, d(E, R2)))), H2=d(d(A, d(d(2, d(1, d(B, T2))), X)), d(d(2, d(1, R1)), d(B, d(E, T2)))), R2=d(d(A, d(d(2, d(1, Z1)), Y1)), d(d(2, d(1, P1)), d(B, d(E, A2)))), T2=d(d(A, d(W, B2)), d(S, R1)), U2=d(d(A, d(d(2, d(1, d(B, V2))), W1)), d(Q, d(B, d(E, V2)))), X1=d(d(A, J), I1), Q1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, K1)))))))), Z))), d(G, N))))), Z)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(Y, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), G1)))), Z)))))), d(Y, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), G1)))), Z))))), A2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, W2))))))), Z))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(W, W2))))), Z)))), Z)))))), Z)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), Z))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(W, M))))), Z)))), Z)))))), Z)), M)), S1=d(d(A, E), E), T=d(d(A, d(P1, d(d(A, d(d(2, d(1, d(B, X2))), D2)), d(U, d(B, d(E, X2)))))), d(P1, d(d(A, d(d(2, d(1, d(B, Y2))), D2)), d(U, d(B, d(E, Y2)))))), W2=d(P1, d(d(A, d(d(2, d(1, C2)), d(B, Z2))), d(d(2, d(1, d(B, d(E, Z2)))), T1))), O2=d(d(B, d(d(A, d(d(2, d(1, d(B, G2))), d(B, Q2))), d(d(2, d(1, d(B, d(E, Q2)))), d(B, d(E, G2))))), d(1, P2)), X2=d(Y1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y2=d(Y1, d(1, N1)), A3=d(Y1, d(1, R)), U1=d(Y1, d(1, X1)), S2=d(Y1, d(1, A2)), V1=d(Y1, M), Z2=d(Y1, d(P1, d(d(A, d(d(2, d(1, D2)), d(B, A3))), d(d(2, d(1, d(B, d(E, A3)))), V)))), V2=d(Z1, N1), J2=d(Z1, d(E, d(d(A, d(d(2, d(1, d(B, U2))), C2)), d(d(2, d(1, T1)), d(B, d(E, U2))))))]).
mm_proof('3ianor', d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, L))))), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, A))), R=d(2, d(1, B)), S=d(2, d(1, d(T, d(O, L)))), T=d(2, d(1, d(B, U))), V=d(2, d(1, W)), X=d(2, d(1, d(B, d(d(A, E), E)))), Y=d(2, d(I, d(H, d(1, d(S, G))))), Z=d(2, d(I, d(K, d(1, A1)))), B1=d(2, d(I, d(K, d(I, d(H, F))))), C1=d(2, d(J, D1)), E1=d(3, d(C1, P)), F1=d(3, d(C1, d(d(2, d(1, d(2, d(J, d(M, D1))))), L))), G=d(d(2, 1), 1), G1=d(H, 1), L=d(H, G), H1=d(H, I1), P=d(J, L), A=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), H1)))), L))), A1=d(d(2, d(1, d(2, G))), L), D1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), H1)))), L), J1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(X, G))))), L)))), L), B=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, F1)), d(B, d(d(3, d(3, d(1, L1))), L1))), M1=d(R, G), I1=d(d(2, d(1, N1)), P), N1=d(d(2, d(J, d(O, G))), G), O1=d(d(2, d(J, d(O, d(d(2, d(I, d(H, d(1, d(T, 1))))), d(J, d(M, d(d(2, d(1, S)), P1))))))), G), N=d(C1, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, B))))), L))), K1)))), L)), G), P1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(B, d(E, R1)), S1=d(B, d(E, T1)), U1=d(B, d(E, V1)), W1=d(B, R1), W=d(B, T1), X1=d(B, V1), Y1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, d(J, d(R, Z1))))))), L))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(X, Z1))))), L)))), L)))))), L)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, d(J, M1)))))), L))), d(J, J1))))), L)), G))), L1=d(N1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), L))), G))), d(3, d(C1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(Q, H1)))), L)))))), L)))))), H1)))), L))), G))))), A2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B2=d(E, d(d(A, d(d(2, d(1, d(B, C2))), d(B, D2))), d(d(2, d(1, d(B, E2))), d(B, d(E, C2))))), E2=d(E, D2), F2=d(E, d(Y1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), G2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, d(B1, d(H, M1))))))), L))), d(B1, d(H, J1)))))), L)), G), D2), C=d(d(A, d(d(2, d(1, d(B, A2))), d(B, H2))), d(d(2, d(1, d(B, d(E, H2)))), d(B, d(E, A2)))), I2=d(d(A, d(T, d(B, G2))), d(d(2, d(1, d(B, d(E, G2)))), d(B, d(E, U)))), R1=d(d(A, d(d(2, d(1, d(B, I2))), d(B, B2))), d(d(2, d(1, d(B, d(E, B2)))), d(B, d(E, I2)))), D=d(d(A, d(d(2, d(1, W1)), d(B, F2))), d(d(2, d(1, d(B, d(E, F2)))), Q1)), H2=d(d(A, d(d(2, d(1, d(B, J2))), W)), d(d(2, d(1, S1)), d(B, d(E, J2)))), J2=d(d(A, d(V, d(B, K2))), d(d(2, d(1, d(B, d(E, K2)))), S1)), K2=d(d(A, d(d(2, d(J, d(O, d(Y, d(J, d(M, d(d(2, d(1, d(2, d(1, d(V, d(S, W1)))))), P1))))))), G)), d(d(2, d(J, d(O, d(Y, d(J, d(M, d(d(2, d(1, d(2, d(1, d(V, d(S, Q1)))))), P1))))))), G)), T1=d(d(A, O1), O1), D2=d(d(A, N), I1), V1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(H, d(I, d(2, d(1, K1)))))))), L))), d(I, R))))), L)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(Z, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), G1)))), L)))))), d(Z, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), G1)))), L))))), Z1=d(U1, d(d(A, d(d(2, d(1, d(B, L2))), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), d(B, d(E, L2))))), N2=d(X1, d(1, E2)), L2=d(X1, d(1, D2)), O2=d(X1, G), M2=d(X1, d(U1, d(d(A, d(d(2, d(1, d(B, O2))), d(B, N2))), d(d(2, d(1, d(B, d(E, N2)))), d(B, d(E, O2)))))), C2=d(Y1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof('3anor', d(A, d(A, d(d(B, d(d(2, d(1, d(C, D))), E)), d(F, d(C, d(A, D))))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, B))), S=d(2, d(1, C)), T=d(2, d(1, d(U, d(P, M)))), U=d(2, d(1, d(C, V))), F=d(2, d(1, d(C, W))), X=d(2, d(1, Y)), Z=d(2, d(1, d(C, d(d(B, A), A)))), A1=d(2, d(J, d(I, d(1, d(T, H))))), B1=d(2, d(J, d(L, d(1, C1)))), D1=d(2, d(J, d(L, d(J, d(I, G))))), E1=d(2, d(K, F1)), G1=d(3, d(E1, Q)), H1=d(3, d(E1, d(d(2, d(1, d(2, d(K, d(N, F1))))), M))), H=d(d(2, 1), 1), I1=d(I, 1), M=d(I, H), J1=d(I, K1), Q=d(K, M), B=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), J1)))), M))), C1=d(d(2, d(1, d(2, H))), M), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), J1)))), M), L1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, d(Z, H))))), M)))), M), C=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(d(2, d(1, H1)), d(C, d(d(3, d(3, d(1, N1))), N1))), O1=d(S, H), K1=d(d(2, d(1, P1)), Q), P1=d(d(2, d(K, d(P, H))), H), Q1=d(d(2, d(K, d(P, d(d(2, d(J, d(I, d(1, d(U, 1))))), d(K, d(N, d(d(2, d(1, T)), R1))))))), H), O=d(E1, H), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, C))))), M))), M1)))), M)), H), R1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(C, d(A, T1)), U1=d(C, d(A, V1)), W1=d(C, d(A, X1)), Y1=d(C, T1), Y=d(C, V1), E=d(C, Z1), A2=d(C, X1), B2=d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(K, d(S, C2))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, d(Z, C2))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(K, O1)))))), M))), d(K, L1))))), M)), H))), N1=d(P1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), M))), H))), d(3, d(E1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(R, J1)))), M)))))), M)))))), J1)))), M))), H))))), D2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E2=d(A, d(d(B, d(d(2, d(1, d(C, F2))), E)), d(F, d(C, d(A, F2))))), W=d(A, Z1), G2=d(A, d(B2, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), H2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(D1, d(I, O1))))))), M))), d(D1, d(I, L1)))))), M)), H), Z1), I2=d(d(B, d(d(2, d(1, d(C, D2))), d(C, J2))), d(d(2, d(1, d(C, d(A, J2)))), d(C, d(A, D2)))), K2=d(d(B, d(U, d(C, H2))), d(d(2, d(1, d(C, d(A, H2)))), d(C, d(A, V)))), T1=d(d(B, d(d(2, d(1, d(C, K2))), d(C, E2))), d(d(2, d(1, d(C, d(A, E2)))), d(C, d(A, K2)))), L2=d(d(B, d(d(2, d(1, Y1)), d(C, G2))), d(d(2, d(1, d(C, d(A, G2)))), S1)), J2=d(d(B, d(d(2, d(1, d(C, M2))), Y)), d(d(2, d(1, U1)), d(C, d(A, M2)))), M2=d(d(B, d(X, d(C, N2))), d(d(2, d(1, d(C, d(A, N2)))), U1)), N2=d(d(B, d(d(2, d(K, d(P, d(A1, d(K, d(N, d(d(2, d(1, d(2, d(1, d(X, d(T, Y1)))))), R1))))))), H)), d(d(2, d(K, d(P, d(A1, d(K, d(N, d(d(2, d(1, d(2, d(1, d(X, d(T, S1)))))), R1))))))), H)), V1=d(d(B, Q1), Q1), Z1=d(d(B, O), K1), X1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(J, d(2, d(1, M1)))))))), M))), d(J, S))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(B1, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), I1)))), M)))))), d(B1, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), I1)))), M))))), C2=d(W1, d(d(B, d(d(2, d(1, d(C, O2))), d(C, P2))), d(d(2, d(1, d(C, d(A, P2)))), d(C, d(A, O2))))), Q2=d(A2, d(1, W)), O2=d(A2, d(1, Z1)), R2=d(A2, H), P2=d(A2, d(W1, d(d(B, d(d(2, d(1, d(C, R2))), d(C, Q2))), d(d(2, d(1, d(C, d(A, Q2)))), d(C, d(A, R2)))))), F2=d(B2, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(B2, d(d(B, d(d(2, d(1, d(C, I2))), d(C, L2))), d(d(2, d(1, d(C, d(A, L2)))), d(C, d(A, I2)))))]).
mm_proof('3oran', d(A, d(A, d(d(B, d(d(2, d(1, d(C, D))), E)), d(F, d(C, d(A, D))))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, B))), M=d(2, d(1, N)), O=d(2, d(1, C)), P=d(2, d(1, d(C, Q))), F=d(2, d(1, d(C, R))), S=d(2, d(1, d(C, d(A, T)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Z))))), d(1, A1)))), B1=d(2, d(I, C1)), D1=d(3, d(B1, E1)), F1=d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, C1))))), Z))), N=d(d(2, 1), 1), G1=d(G, 1), Z=d(G, N), H1=d(G, I1), E1=d(I, Z), J1=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), H1)))), Z)), B=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), A1=d(d(2, d(1, d(2, N))), Z), C1=d(d(2, d(1, d(2, d(d(2, d(1, M)), H1)))), Z), C=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, F1)), d(C, d(d(3, d(3, d(1, L1))), L1))), M1=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(C, N1)))))), J1)))), Z)))), H1)))), Z)))))), Z))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, O1)), E1), O1=d(d(2, d(I, d(d(2, d(1, d(2, E1))), N))), N), K=d(B1, N), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), Z))), K1)))), Z)), N), P1=d(C, d(A, Q1)), R1=d(C, d(A, S1)), T1=d(C, d(A, U1)), V=d(C, d(A, V1)), E=d(C, W1), X1=d(C, Q1), Y1=d(C, Z1), X=d(C, S1), A2=d(C, T), B2=d(C, U1), C2=d(C, V1), L1=d(O1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Z))), N))), d(3, d(B1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, H1)))), Z)))))), Z)))))), H1)))), Z))), N))))), D2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(A, E2), F2=d(A, d(d(B, d(d(2, d(1, d(C, G2))), A2)), d(S, d(C, d(A, G2))))), H2=d(A, d(d(B, d(d(2, d(1, d(C, I2))), E)), d(F, d(C, d(A, I2))))), R=d(A, W1), J2=d(A, d(Y1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), K2=d(A, d(Y1, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), E2=d(d(B, M1), M1), L2=d(d(B, d(d(2, d(1, d(C, D2))), d(C, M2))), d(d(2, d(1, d(C, d(A, M2)))), d(C, d(A, D2)))), N2=d(d(B, d(P, d(C, O2))), d(d(2, d(1, d(C, d(A, O2)))), d(C, d(A, Q)))), P2=d(d(B, d(d(2, d(1, d(C, H2))), d(C, K2))), d(d(2, d(1, d(C, d(A, K2)))), d(C, d(A, H2)))), M2=d(d(B, d(d(2, d(1, d(C, N2))), d(C, E2))), d(P, d(C, d(A, N2)))), Q2=d(d(B, d(d(2, d(1, d(C, P2))), d(C, J2))), d(d(2, d(1, d(C, d(A, J2)))), d(C, d(A, P2)))), R2=d(d(B, d(d(2, d(1, d(C, S2))), d(C, T2))), d(d(2, d(1, d(C, d(A, T2)))), d(C, d(A, S2)))), G2=d(d(B, d(d(2, d(1, d(C, U2))), X)), d(d(2, d(1, R1)), d(C, d(A, U2)))), S2=d(d(B, d(d(2, d(1, Y1)), X1)), d(d(2, d(1, P1)), d(C, d(A, Z1)))), U2=d(d(B, d(W, A2)), d(S, R1)), V2=d(d(B, d(d(2, d(1, d(C, W2))), E)), d(F, d(C, d(A, W2)))), W1=d(d(B, K), I1), Q1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, K1)))))))), Z))), d(H, O))))), Z)), N)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(Y, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), G1)))), Z)))))), d(Y, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), G1)))), Z))))), Z1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, X2))))))), Z))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, X2))))), Z)))), Z)))))), Z)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(O, N))))))), Z))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(W, N))))), Z)))), Z)))))), Z)), N)), S1=d(d(B, A), A), T=d(d(B, d(P1, d(d(B, d(d(2, d(1, d(C, Y2))), C2)), d(U, d(C, d(A, Y2)))))), d(P1, d(d(B, d(d(2, d(1, d(C, Z2))), C2)), d(U, d(C, d(A, Z2)))))), X2=d(P1, d(d(B, d(d(2, d(1, B2)), d(C, A3))), d(d(2, d(1, d(C, d(A, A3)))), T1))), O2=d(d(C, d(d(B, d(d(2, d(1, d(C, F2))), d(C, R2))), d(d(2, d(1, d(C, d(A, R2)))), d(C, d(A, F2))))), d(1, P2)), Y2=d(X1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z2=d(X1, d(1, N1)), B3=d(X1, d(1, R)), U1=d(X1, d(1, W1)), T2=d(X1, d(1, Z1)), V1=d(X1, N), A3=d(X1, d(P1, d(d(B, d(d(2, d(1, C2)), d(C, B3))), d(d(2, d(1, d(C, d(A, B3)))), V)))), W2=d(Y1, N1), I2=d(Y1, d(A, d(d(B, d(d(2, d(1, d(C, V2))), B2)), d(d(2, d(1, T1)), d(C, d(A, V2)))))), D=d(Y1, d(d(B, d(d(2, d(1, d(C, L2))), d(C, Q2))), d(d(2, d(1, d(C, d(A, Q2)))), d(C, d(A, L2)))))]).
mm_proof('3imp31', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, H))))), I))))))), J))))), I))))))), I)))))), K))))), J))))), I))))))), I)))))), K)))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[H=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), J)))), I))), Q=d(3, d(O, R)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(O, P)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, I))))), d(1, d(d(2, d(1, d(2, P))), I)))))), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), I=d(H, P), J=d(H, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, R))), P))), P))), R)), R=d(N, I), L=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof('3imp231', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, H))))), I))))))), I))))), J))))), I))))))), I)))))), K))))), J))))), I))))))), I)))))), K)))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[H=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), J)))), I))), Q=d(3, d(O, R)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(O, P)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, I))))), d(1, d(d(2, d(1, d(2, P))), I)))))), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), I=d(H, P), J=d(H, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, R))), P))), P))), R)), R=d(N, I), L=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof('3imp21', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, I))))), J))))))))), J))))))), J))))), K))))), J))))))), J)))))), L))))), K))))), J))))))), J)))))), L)))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), K)))), J))), R=d(3, d(P, S)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), I), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(P, Q)))))), G=d(d(d(2, d(1, 2)), 1), d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, d(d(2, d(1, d(2, Q))), J)))))), D=d(d(d(2, d(1, 2)), 1), P), Q=d(d(2, 1), 1), J=d(I, Q), K=d(I, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, S))), Q))), Q))), S)), S=d(O, J), M=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof('3impia', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), I)))))), J))))))), K))))))), K))))), L))))), K))))))), K)))))), M))))), K))))), K)))), I)))))), J))))))), K))))), L))))), K))))))), K)))))), M))))), L))))), K))))))), K)))))), M)))), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[O=d(2, d(1, 1)), P=d(2, d(1, 2)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(S, T))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), S=d(2, d(Q, W)), X=d(3, d(S, Y)), V=d(3, d(S, d(d(2, d(1, d(2, d(Q, d(R, W))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), O), E=d(d(d(2, d(1, 2)), 1), Q), F=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), d(2, d(P, d(d(2, d(1, d(2, d(1, d(P, K))))), d(1, Z))))), D=d(d(d(2, d(1, 2)), 1), S), T=d(d(2, 1), 1), K=d(O, T), L=d(O, d(d(2, d(1, A1)), Y)), Y=d(Q, K), J=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), L)))), K)), Z=d(d(2, d(1, d(2, T))), K), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, T)))), L)))), K), N=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(Q, d(d(2, d(1, d(2, Y))), T))), T), M=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(N, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(O, N))))), K))), d(d(2, d(1, V)), d(N, d(d(3, d(3, d(1, B1))), B1))))))), K)), T), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(A1, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), T))), d(3, d(S, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(U, L)))), K)))))), K)))))), L)))), K))), T)))))]).
mm_proof('3expia', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), K)))))), L)))), K)))))), L))))))), M))))))), M))))), N))))), M))))))), M)))))), O))))), M))))), N))))), M))))))), M)))))), O)))), K)))))), L))))), M)))), K)))))), L))))))), M))))), N))))), M))))))), M)))))), O)-[P=d(2, d(1, 1)), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), T=d(2, d(R, X)), Y=d(3, d(T, Z)), W=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, X))))), M))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, M))))), d(1, A1))))), D=d(d(d(2, d(1, 2)), 1), T), U=d(d(2, 1), 1), M=d(P, U), N=d(P, d(d(2, d(1, B1)), Z)), Z=d(R, M), L=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), N)))), M)), A1=d(d(2, d(1, d(2, U))), M), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, U)))), N)))), M), I=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), U))), U), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(P, I))))), M))), d(d(2, d(1, W)), d(I, d(d(3, d(3, d(1, C1))), C1))))))), M)), U), O=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(B1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), U))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, N)))), M)))))), M)))))), N)))), M))), U)))))]).
mm_proof('3comr', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), I)))), J)))))), K)))), J)))))), K))))))), L))))))))), L))))))), L))))), M))))), L))))))), L)))))), N))))), M))))), L))))))), L)))))), N)))), O)))), I)))), J)))))), K)))), J)))))), K))))))), L))))))), M))))), L))))))), L)))))), N))))), M))))), L))))))), L)))))), N)))), O)-[P=d(2, d(1, 1)), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), T=d(2, d(R, X)), Y=d(3, d(T, Z)), W=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, X))))), L))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, L))))), d(1, A1))))), D=d(d(d(2, d(1, 2)), 1), T), U=d(d(2, 1), 1), L=d(P, U), M=d(P, d(d(2, d(1, B1)), Z)), Z=d(R, L), K=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), M)))), L)), A1=d(d(2, d(1, d(2, U))), L), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, U)))), M)))), L), C1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), U))), U), D1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(P, C1))))), L))), d(d(2, d(1, W)), d(C1, d(d(3, d(3, d(1, E1))), E1))))))), L)), U), O=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(C1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J=d(C1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(B1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), U))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, M)))), L)))))), L)))))), M)))), L))), U)))))]).
mm_proof('3coml', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), I)))), J)))))), K)))), J)))))), K))))))), L))))))))), L))))))), L))))), M))))), L))))))), L)))))), N))))), M))))), L))))))), L)))))), N)))), O)))), I)))), J)))))), K)))), J)))))), K))))))), L))))))), M))))), L))))))), L)))))), N))))), M))))), L))))))), L)))))), N)))), O)))), I)))), J)))))), K)))), J)))))), K))))))), L))))))))), L))))))), L))))), M))))), L))))))), L)))))), N))))), M))))), L))))))), L)))))), N)))), O)))), I)))), J)))))), K)))), J)))))), K))))))), L))))))), M))))), L))))))), L)))))), N))))), M))))), L))))))), L)))))), N)))), O)-[P=d(2, d(1, 1)), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), T=d(2, d(R, X)), Y=d(3, d(T, Z)), W=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, X))))), L))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, L))))), d(1, A1))))), D=d(d(d(2, d(1, 2)), 1), T), U=d(d(2, 1), 1), L=d(P, U), M=d(P, d(d(2, d(1, B1)), Z)), Z=d(R, L), K=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), M)))), L)), A1=d(d(2, d(1, d(2, U))), L), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, U)))), M)))), L), C1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), U))), U), D1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(P, C1))))), L))), d(d(2, d(1, W)), d(C1, d(d(3, d(3, d(1, E1))), E1))))))), L)), U), O=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(C1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J=d(C1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(B1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), U))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, M)))), L)))))), L)))))), M)))), L))), U)))))]).
mm_proof('3jcad', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(E, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(H, d(G, I)))), J)))))), J))))))), K)))))))), L)-[M=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, J))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), S=d(2, d(1, J)), P=d(2, d(N, T)), U=d(3, d(P, V)), R=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, T))))), W))), X=d(d(d(2, d(1, 2)), 1), 1), Y=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), Y), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), X)), C=d(d(d(2, d(1, 2)), 1), H), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(Y, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(Y, d(X, d(Y, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, K))))), L))))), d(d(d(d(2, d(1, 2)), 1), M), I)))))), W))))), J=d(d(2, 1), 1), W=d(M, J), Z=d(M, d(d(2, d(1, A1)), V)), V=d(N, W), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), W)))), Z)))), W)), T=d(d(2, d(1, d(2, d(d(2, d(1, S)), Z)))), W), E=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(N, d(d(2, d(1, d(2, V))), J))), J), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(M, E))))), W))), d(d(2, d(1, R)), d(E, d(d(3, d(3, d(1, B1))), B1))))))), W)), J), I=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(Y, d(X, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), P), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(Y, d(X, d(Y, d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, 2)), 1), O), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(Y, d(X, d(Y, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(Y, d(X, 2))), Z))))), W))))))), W)))))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(E, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(A1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), W))), J))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Q, Z)))), W)))))), W)))))), Z)))), W))), J)))))]).
mm_proof('3adant3', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, H))))), d(1, I))))), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), K)))))), L))))), d(J, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, P)))), Q)))), H)))))), H))))), R))), K))))), L)))), H)))), Q)))), H)))))), H))))), R))))))), H)))), P))), S)))), K)))))), L))))), H)))), K)))))), L))))))), H))))), Q))))), H))))))), H)))))), R))))), Q))))), H))))))), H)))))), R)))), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[J=d(2, d(1, 1)), G=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, S))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), M=d(2, d(N, W)), X=d(3, d(M, Y)), V=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, W))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), S=d(d(2, 1), 1), H=d(J, S), Q=d(J, d(d(2, d(1, Z)), Y)), Y=d(N, H), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), Q)))), H)), I=d(d(2, d(1, d(2, S))), H), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), Q)))), H), T=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), Q)))), H)))))), H))))), R), Z=d(d(2, d(N, d(d(2, d(1, d(2, Y))), S))), S), R=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, T))))), H))), d(d(2, d(1, V)), d(T, d(d(3, d(3, d(1, A1))), A1))))))), H)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Z, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), H))), S))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(U, Q)))), H)))))), H)))))), Q)))), H))), S)))))]).
mm_proof('3ad2ant3', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, G)))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), H))))), I))))))), I)))))), J)))), K)))))), L))))), I))))), d(G, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J))), K))))), L)))), I)))), H)))), I)))))), I))))), J))))))), I))))), I))))), H))))), I))))))), I)))))), J)))), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), M=d(2, d(N, T)), U=d(3, d(M, V)), S=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, T))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), Q=d(d(2, 1), 1), I=d(G, Q), H=d(G, d(d(2, d(1, W)), V)), V=d(N, I), L=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), I)))), H)))), I)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), H)))), I), P=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(N, d(d(2, d(1, d(2, V))), Q))), Q), J=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(P, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, P))))), I))), d(d(2, d(1, S)), d(P, d(d(3, d(3, d(1, X))), X))))))), I)), Q), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), Q))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(R, H)))), I)))))), I)))))), H)))), I))), Q)))))]).
mm_proof(simp3, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), E))))), F)))), G)))), d(H, D))))), G)))), G)))), I)))), G)))))), G))))), J))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[H=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(H, L), I=d(H, d(d(2, d(1, R)), Q)), Q=d(B, G), F=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), I)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), I)))), G), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), I)))), G)))))), G))))), J))), E))))), F)))), G)))), I)))), G)))))), G))))), J), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, K))))), G))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, I)))), G)))))), G)))))), I)))), G))), L)))))]).
mm_proof(simp3d, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), E))))), F)))), G)))), d(H, D))))), G)))), G)))), I)))), G)))))), G))))), J))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))-[H=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(H, L), I=d(H, d(d(2, d(1, R)), Q)), Q=d(B, G), F=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), I)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), I)))), G), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), I)))), G)))))), G))))), J))), E))))), F)))), G)))), I)))), G)))))), G))))), J), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, K))))), G))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, I)))), G)))))), G)))))), I)))), G))), L)))))]).
mm_proof(simp1bi, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), H))), d(d(2, d(1, I)), d(E, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))), H)))), d(G, D))))), H)))), H)))), M)))), H)))))), H))))), N))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), I=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), H))), K=d(d(2, 1), 1), H=d(G, K), M=d(G, d(d(2, d(1, R)), Q)), Q=d(B, H), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), M)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), M)))), H), E=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), M)))), H)))))), H))))), N), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), K))), K), N=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(F, M)))), H)))))), H)))))), M)))), H))), K)))))]).
mm_proof(simp2bi, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, F)))), G)))))), G))))), H)))))), G)))), G)))), F)))), G)))))), G))))), H))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)-[E=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, J))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(E, I))))), G))), d(d(2, d(1, L)), d(I, d(d(3, d(3, d(1, N))), N))))))), G)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), M)))), G)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), L=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), J=d(d(2, 1), 1), G=d(E, J), F=d(E, d(d(2, d(1, R)), Q)), Q=d(B, G), M=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), J))), J), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), J))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(K, F)))), G)))))), G)))))), F)))), G))), J)))))]).
mm_proof(simp3bi, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), E))))), F)))), G)))), d(H, D))))), G)))), G)))), I)))), G)))))), G))))), J))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)-[H=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(H, L), I=d(H, d(d(2, d(1, R)), Q)), Q=d(B, G), F=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), I)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), I)))), G), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), I)))), G)))))), G))))), J))), E))))), F)))), G)))), I)))), G)))))), G))))), J), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, K))))), G))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, I)))), G)))))), G)))))), I)))), G))), L)))))]).
mm_proof('3simpa', d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, E))))), d(1, F)))), d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, I))))), J)))), d(G, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, K)))), L)))), E)))))), E))))), M))), I))))), J)))), E)))), L)))), E)))))), E))))), M)))))), E))), K)), N))), I))))), J)))), E))), I))))), J)))))), E)))), L)))), E)))))), E))))), M)))), L)))), E)))))), E))))), M))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H=d(2, d(1, N)), A=d(2, d(B, R)), S=d(3, d(A, T)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), E))), N=d(d(2, 1), 1), E=d(G, N), L=d(G, d(d(2, d(1, U)), T)), T=d(B, E), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), L)))), E)), F=d(d(2, d(1, d(2, N))), E), R=d(d(2, d(1, d(2, d(d(2, d(1, H)), L)))), E), O=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), L)))), E)))))), E))))), M), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), N))), N), M=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(O, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(G, O))))), E))), d(d(2, d(1, Q)), d(O, d(d(3, d(3, d(1, V))), V))))))), E)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, L)))), E)))))), E)))))), L)))), E))), N)))))]).
mm_proof('3simpb', d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(E, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F, d(G, E))))), H))), d(d(2, d(1, I)), d(E, d(d(3, d(3, d(1, J))), J))))))), H)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L)))), H)))), d(G, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), M)))), H)))))), H))))), N)))))), H)))), H)))), M)))), H)))))), H))))), N))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), F=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), D=d(2, d(1, K)), A=d(2, d(B, O)), P=d(3, d(A, Q)), I=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), H))), K=d(d(2, 1), 1), H=d(G, K), M=d(G, d(d(2, d(1, R)), Q)), Q=d(B, H), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), H)))), M)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, D)), M)))), H), E=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), K))), K), N=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(F, M)))), H)))))), H)))))), M)))), H))), K)))))]).
mm_proof('3simpc', d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, E))))), F)))), G)))), d(H, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), I)))), G)))))), G))))), J))), E))))), F)))), G)))), I)))), G)))))), G))))), J)))))), G)))), G)))), I)))), G)))))), G))))), J))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[H=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), D=d(2, d(1, L)), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(H, L), I=d(H, d(d(2, d(1, R)), Q)), Q=d(B, G), F=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), I)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, D)), I)))), G), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, K))))), G))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, I)))), G)))))), G)))))), I)))), G))), L)))))]).
mm_proof('3anim123i', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(M, N))))), O))))))), O)))))), P)))), Q)))))), R))))), O))))), S))))), O))))), O))))), N))))), O))))))), O)))))), P)))), T))))))), O)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(M, S))))), O))))), O))))), N))))), O))))))), O)))))), P)))), T))))))), O))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(M, d(U, V)))))), O))))), O))))), N))))), O))))))), O)))))), P)))), T))))), W)))))), W))-[U=d(2, d(1, 1)), X=d(2, d(1, 3)), Y=d(2, d(1, d(2, d(1, d(Z, W))))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), C1=d(2, d(1, W)), Z=d(2, d(X, D1)), E1=d(3, d(Z, F1)), B1=d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, D1))))), O))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), U), K=d(d(d(2, d(1, 2)), 1), X), L=d(d(d(2, d(1, 2)), 1), Y), G=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, Q))))), R))))), J=d(d(d(2, d(1, 2)), 1), Z), D=d(d(d(2, d(1, 2)), 1), E), M=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, U)))), N))))), O))))))), O)))))), P)))), Q)))))), R))))), O))))), W=d(d(2, 1), 1), O=d(U, W), S=d(U, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, V)), Q))))), R)))), O)))), N)))), O)))))), O))))), P)), N=d(U, d(d(2, d(1, G1)), F1)), F1=d(X, O), R=d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), O)))), N)))), O)), D1=d(d(2, d(1, d(2, d(d(2, d(1, C1)), N)))), O), A=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), N)))), O)))))), O))))), P), G1=d(d(2, d(X, d(d(2, d(1, d(2, F1))), W))), W), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(U, A))))), O))), d(d(2, d(1, B1)), d(A, d(d(3, d(3, d(1, H1))), H1))))))), O)), W), T=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(G1, d(d(2, d(1, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), O))), W))), d(3, d(Z, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(A1, N)))), O)))))), O)))))), N)))), O))), W)))))]).
mm_proof('3anim1i', d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(R, d(C, E)))), N))))), L))))))), L)))))), O)))), J)))))), K))))), L))))), d(E, W)))))), L))))), L))))), N))))), L))))))), L)))))), O)))), P)))), X)))), X))-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, X))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, J))))), K)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, W)), J))))), K)))), L)))), Y=d(2, d(1, X)), F=d(2, d(G, B1)), C1=d(3, d(F, D1)), A1=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, B1))))), L))), R=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), S=d(d(d(2, d(1, 2)), 1), 3), U=d(d(d(2, d(1, 2)), 1), G), V=d(d(d(2, d(1, 2)), 1), H), T=d(d(d(2, d(1, 2)), 1), F), X=d(d(2, 1), 1), L=d(E, X), M=d(E, I), N=d(E, d(d(2, d(1, E1)), D1)), D1=d(G, L), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), L)))), N)))), L)), B1=d(d(2, d(1, d(2, d(d(2, d(1, Y)), N)))), L), A=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), L)))))), L))))), O), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Q, N)))), L)))))), L))))), O), E1=d(d(2, d(G, d(d(2, d(1, d(2, D1))), X))), X), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(E, A))))), L))), d(d(2, d(1, A1)), d(A, d(d(3, d(3, d(1, F1))), F1))))))), L)), X), P=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), X))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Z, N)))), L)))))), L)))))), N)))), L))), X)))))]).
mm_proof('3anim2i', d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(R, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(R, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(C, E)))), N))))), L))))))), L)))))), O)))), J)))))), K))))), L))))), M))))), L))))), L))))), N))))), L))))))), L)))))), O)))), P))))))), L)))), d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(E, W))))), L)))), L)))), N)))), L)))))), L))))), O))), P)))), X)))), X))-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, X))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, J))))), K)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, W)), J))))), K)))), L)))), Y=d(2, d(1, X)), F=d(2, d(G, B1)), C1=d(3, d(F, D1)), A1=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, B1))))), L))), Q=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), R=d(d(d(2, d(1, 2)), 1), 3), T=d(d(d(2, d(1, 2)), 1), G), U=d(d(d(2, d(1, 2)), 1), H), S=d(d(d(2, d(1, 2)), 1), F), X=d(d(2, 1), 1), L=d(E, X), M=d(E, I), N=d(E, d(d(2, d(1, E1)), D1)), D1=d(G, L), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), L)))), N)))), L)), B1=d(d(2, d(1, d(2, d(d(2, d(1, Y)), N)))), L), A=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), L)))))), L))))), O), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(V, N)))), L)))))), L))))), O), E1=d(d(2, d(G, d(d(2, d(1, d(2, D1))), X))), X), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(E, A))))), L))), d(d(2, d(1, A1)), d(A, d(d(3, d(3, d(1, F1))), F1))))))), L)), X), P=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), X))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Z, N)))), L)))))), L)))))), N)))), L))), X)))))]).
mm_proof('3anim3i', d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C, F)))), K))))), L))))))), L)))))), M)))), N)))))), O))))), L))))), K))))), L))))))), L)))))), M)))), N)))))), O))))), L))))), P))))), L))))), L))))), K))))), L))))))), L)))))), M)))), Q))))))), L)))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, P)))), L)))), L)))), K)))), L)))))), L))))), M))), Q)))))), L))), d(d(2, d(1, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(F, V))))), L)))), L)))), K)))), L)))))), L))))), M))), Q))), W)))), W))-[F=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, W))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, N))))), O)))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, V)), N))))), O)))), L)))), X=d(2, d(1, W)), R=d(2, d(S, A1)), B1=d(3, d(R, C1)), Z=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, A1))))), L))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), I=d(d(d(2, d(1, 2)), 1), S), J=d(d(d(2, d(1, 2)), 1), T), H=d(d(d(2, d(1, 2)), 1), R), W=d(d(2, 1), 1), L=d(F, W), P=d(F, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(U, K)))), L)))))), L))))), M)), K=d(F, d(d(2, d(1, D1)), C1)), C1=d(S, L), O=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), L)))), K)))), L)), A1=d(d(2, d(1, d(2, d(d(2, d(1, X)), K)))), L), A=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), K)))), L)))))), L))))), M), D1=d(d(2, d(S, d(d(2, d(1, d(2, C1))), W))), W), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(F, A))))), L))), d(d(2, d(1, Z)), d(A, d(d(3, d(3, d(1, E1))), E1))))))), L)), W), Q=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), W))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(Y, K)))), L)))))), L)))))), K)))), L))), W)))))]).
mm_proof(syl3an, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(M, N))))), O))))))), O)))))), P)))), Q)))))), R))))), O))))), S))))), O))))), O))))), N))))), O))))))), O)))))), P)))), T))))))), O)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(M, S))))), O))))), O))))), N))))), O))))))), O)))))), P)))), T))))))), O))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(M, d(U, V)))))), O))))), O))))), N))))), O))))))), O)))))), P)))), T))))), W)))))), W)))-[U=d(2, d(1, 1)), X=d(2, d(1, 3)), Y=d(2, d(1, d(2, d(1, d(Z, W))))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), C1=d(2, d(1, W)), Z=d(2, d(X, D1)), E1=d(3, d(Z, F1)), B1=d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, D1))))), O))), F=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), U), K=d(d(d(2, d(1, 2)), 1), X), L=d(d(d(2, d(1, 2)), 1), Y), G=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, Q))))), R))))), J=d(d(d(2, d(1, 2)), 1), Z), E=d(d(d(2, d(1, 2)), 1), A), M=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(F, d(A, U)))), N))))), O))))))), O)))))), P)))), Q)))))), R))))), O))))), W=d(d(2, 1), 1), O=d(U, W), S=d(U, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, V)), Q))))), R)))), O)))), N)))), O)))))), O))))), P)), N=d(U, d(d(2, d(1, G1)), F1)), F1=d(X, O), R=d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), O)))), N)))), O)), D1=d(d(2, d(1, d(2, d(d(2, d(1, C1)), N)))), O), B=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), N)))), O)))))), O))))), P), G1=d(d(2, d(X, d(d(2, d(1, d(2, F1))), W))), W), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(U, B))))), O))), d(d(2, d(1, B1)), d(B, d(d(3, d(3, d(1, H1))), H1))))))), O)), W), T=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(G1, d(d(2, d(1, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), O))), W))), d(3, d(Z, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(A1, N)))), O)))))), O)))))), N)))), O))), W)))))]).
mm_proof(syl3an3, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, F)))), K))))), L))))))), L)))))), M)))), N)))))), O))))), L))))), K))))), L))))))), L)))))), M)))), N)))))), O))))), L))))), P))))), L))))), L))))), K))))), L))))))), L)))))), M)))), Q))))))), L)))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, P)))), L)))), L)))), K)))), L)))))), L))))), M))), Q)))))), L))), d(d(2, d(1, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(F, V))))), L)))), L)))), K)))), L)))))), L))))), M))), Q))), W)))), W)))-[F=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, W))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, N))))), O)))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, V)), N))))), O)))), L)))), X=d(2, d(1, W)), R=d(2, d(S, A1)), B1=d(3, d(R, C1)), Z=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, A1))))), L))), D=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), I=d(d(d(2, d(1, 2)), 1), S), J=d(d(d(2, d(1, 2)), 1), T), H=d(d(d(2, d(1, 2)), 1), R), W=d(d(2, 1), 1), L=d(F, W), P=d(F, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(U, K)))), L)))))), L))))), M)), K=d(F, d(d(2, d(1, D1)), C1)), C1=d(S, L), O=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), L)))), K)))), L)), A1=d(d(2, d(1, d(2, d(d(2, d(1, X)), K)))), L), B=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), K)))), L)))))), L))))), M), D1=d(d(2, d(S, d(d(2, d(1, d(2, C1))), W))), W), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(F, B))))), L))), d(d(2, d(1, Z)), d(B, d(d(3, d(3, d(1, E1))), E1))))))), L)), W), Q=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), W))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(Y, K)))), L)))))), L)))))), K)))), L))), W)))))]).
mm_proof('3adantl3', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), F)))))), G))))), H))))), d(I, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, H))))), d(1, K)))), d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, F))))), G)))), d(I, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, M)))), N)))), H)))))), H))))), O))), F))))), G)))), H)))), N)))), H)))))), H))))), O)))))), H))), M)), P))), F))))), G)))), H))), F))))), G)))))), H)))), N)))), H)))))), H))))), O)))), N)))), H)))))), H))))), O))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), H))))), H))))), N))))), H))))))), H)))))), O)-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, P))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), L=d(2, d(1, P)), C=d(2, d(D, T)), U=d(3, d(C, V)), S=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, T))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), P=d(d(2, 1), 1), H=d(I, P), N=d(I, d(d(2, d(1, W)), V)), V=d(D, H), G=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), N)))), H)), K=d(d(2, d(1, d(2, P))), H), T=d(d(2, d(1, d(2, d(d(2, d(1, L)), N)))), H), Q=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), N)))), H)))))), H))))), O), W=d(d(2, d(D, d(d(2, d(1, d(2, V))), P))), P), O=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, Q))))), H))), d(d(2, d(1, S)), d(Q, d(d(3, d(3, d(1, X))), X))))))), H)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), H))), P))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(R, N)))), H)))))), H)))))), N)))), H))), P)))))]).
mm_proof('3adantr3', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, J))))), d(1, K)))), d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, C))))), D)))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, M)))), N)))), J)))))), J))))), O))), C))))), D)))), J)))), N)))), J)))))), J))))), O)))))), J))), M)), P))), C))))), D)))), J))), C))))), D)))))), J)))), N)))), J)))))), J))))), O)))), N)))), J)))))), J))))), O))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))), J)))))), J))))), O))), C))))), D)))), J)))), N)))), J)))))), J))))), O))))))), J)))), M))), P)-[E=d(2, d(1, 1)), I=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, P))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), L=d(2, d(1, P)), F=d(2, d(G, T)), U=d(3, d(F, V)), S=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), P=d(d(2, 1), 1), J=d(E, P), N=d(E, d(d(2, d(1, W)), V)), V=d(G, J), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), N)))), J)), K=d(d(2, d(1, d(2, P))), J), T=d(d(2, d(1, d(2, d(d(2, d(1, L)), N)))), J), Q=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), N)))), J)))))), J))))), O), W=d(d(2, d(G, d(d(2, d(1, d(2, V))), P))), P), O=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(E, Q))))), J))), d(d(2, d(1, S)), d(Q, d(d(3, d(3, d(1, X))), X))))))), J)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), J))), P))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(R, N)))), J)))))), J)))))), N)))), J))), P)))))]).
mm_proof(ad4ant123, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(G, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H, d(F, G))))), I))), d(d(2, d(1, J)), d(G, d(d(3, d(3, d(1, K))), K))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M))))), I))))))), I)))))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[F=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, L))))), H=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), I)))), M)))), I)))))), C=d(2, d(D, N)), O=d(3, d(C, P)), J=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, N))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), L=d(d(2, 1), 1), I=d(F, L), M=d(F, d(d(2, d(1, Q)), P)), P=d(D, I), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), M)))), I), G=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(D, d(d(2, d(1, d(2, P))), L))), L), K=d(Q, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), I))), L))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(H, M)))), I)))))), I)))))), M)))), I))), L)))))]).
mm_proof('3adant3l', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1)), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), J)))))), J))))), K))), L))))), M)))), J)))), I)))), J)))))), J))))), K))), L))))), M)))), J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), N)))))), J))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, H)))), J)))), J)))), I)))), J)))))), J))))), K))), N)))))), J))), d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(D, P))))), J)))), J)))), I)))), J)))))), J))))), K))), N))), Q))), Q)))-[D=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, Q))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, L))))), M)))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P)), L))))), M)))), J)))), R=d(2, d(1, Q)), E=d(2, d(F, U)), V=d(3, d(E, W)), T=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, U))))), J))), Q=d(d(2, 1), 1), J=d(D, Q), H=d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(O, I)))), J)))))), J))))), K)), I=d(D, d(d(2, d(1, X)), W)), W=d(F, J), M=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), U=d(d(2, d(1, d(2, d(d(2, d(1, R)), I)))), J), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), X=d(d(2, d(F, d(d(2, d(1, d(2, W))), Q))), Q), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, A))))), J))), d(d(2, d(1, T)), d(A, d(d(3, d(3, d(1, Y))), Y))))))), J)), Q), N=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(X, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(S, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof('3adant3r', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1)), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), J)))))), J))))), K))), L))))), M)))), J)))), I)))), J)))))), J))))), K))), L))))), M)))), J)))), N)))), J)))), J)))), I)))), J)))))), J))))), K))), O)))))), J))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, N)))), J)))), J)))), I)))), J)))))), J))))), K))), O)))))), J))), d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, H)))), J)))), J)))), I)))), J)))))), J))))), K))), O))), Q))), Q)))-[D=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, Q))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, L))))), M)))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, U)), L))))), M)))), J)))), R=d(2, d(1, Q)), E=d(2, d(F, V)), W=d(3, d(E, X)), T=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, V))))), J))), Q=d(d(2, 1), 1), J=d(D, Q), H=d(D, U), N=d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(P, I)))), J)))))), J))))), K)), I=d(D, d(d(2, d(1, Y)), X)), X=d(F, J), M=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), J)))), I)))), J)), V=d(d(2, d(1, d(2, d(d(2, d(1, R)), I)))), J), A=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), Y=d(d(2, d(F, d(d(2, d(1, d(2, X))), Q))), Q), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, A))))), J))), d(d(2, d(1, T)), d(A, d(d(3, d(3, d(1, Z))), Z))))))), J)), Q), O=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), Q))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(S, I)))), J)))))), J)))))), I)))), J))), Q)))))]).
mm_proof('3adant3r1', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), K)))))), L)))), K)))))), L))))))), M))))))), M))))), N))))), M))))))), M)))))), O))))), M))))), N))))), M))))))), M)))))), O)))), K)))))), L))))), d(P, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, K))))), L)))), M)))), d(P, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, U)), K))))), L)))), M)))), N)))), M)))))), M))))), O)))))), M)))), M)))), N)))), M)))))), M))))), O))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))), M)))))), M))))), O))), K))))), L)))), M)))), N)))), M)))))), M))))), O))))))), M)))), U))), V)-[P=d(2, d(1, 1)), W=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, V))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), T=d(2, d(1, V)), Q=d(2, d(R, Z)), A1=d(3, d(Q, B1)), Y=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, Z))))), M))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), d(2, d(W, d(d(2, d(1, d(2, d(1, d(W, M))))), d(1, C1))))), D=d(d(d(2, d(1, 2)), 1), Q), V=d(d(2, 1), 1), M=d(P, V), N=d(P, d(d(2, d(1, D1)), B1)), B1=d(R, M), L=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), N)))), M)), C1=d(d(2, d(1, d(2, V))), M), Z=d(d(2, d(1, d(2, d(d(2, d(1, T)), N)))), M), I=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N)))), M)))))), M))))), O), D1=d(d(2, d(R, d(d(2, d(1, d(2, B1))), V))), V), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(P, I))))), M))), d(d(2, d(1, Y)), d(I, d(d(3, d(3, d(1, E1))), E1))))))), M)), V), O=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), V))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(X, N)))), M)))))), M)))))), N)))), M))), V)))))]).
mm_proof('3adant3r2', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), K)))))), L)))), K)))))), L))))))), M))))))), M))))), N))))), M))))))), M)))))), O))))), M))))), N))))), M))))))), M)))))), O)))), K)))))), L))))), d(P, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, K))))), L)))), M)))), d(P, U))))), M)))), M)))), N)))), M)))))), M))))), O))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))), M)))))), M))))), O))), K))))), L)))), M)))), N)))), M)))))), M))))), O))))))), M)))), U))), V)-[P=d(2, d(1, 1)), W=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, V))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), T=d(2, d(1, V)), Q=d(2, d(R, Z)), A1=d(3, d(Q, B1)), Y=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, Z))))), M))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), d(2, d(W, d(d(2, d(1, d(2, d(1, d(W, M))))), d(1, C1))))), D=d(d(d(2, d(1, 2)), 1), Q), V=d(d(2, 1), 1), M=d(P, V), N=d(P, d(d(2, d(1, D1)), B1)), B1=d(R, M), L=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), N)))), M)), C1=d(d(2, d(1, d(2, V))), M), Z=d(d(2, d(1, d(2, d(d(2, d(1, T)), N)))), M), I=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N)))), M)))))), M))))), O), D1=d(d(2, d(R, d(d(2, d(1, d(2, B1))), V))), V), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(P, I))))), M))), d(d(2, d(1, Y)), d(I, d(d(3, d(3, d(1, E1))), E1))))))), M)), V), O=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), V))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(X, N)))), M)))))), M)))))), N)))), M))), V)))))]).
mm_proof('3adant3r3', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), K)))))), L)))), K)))))), L))))))), M))))))), M))))), N))))), M))))))), M)))))), O))))), M))))), N))))), M))))))), M)))))), O)))), K)))))), L))))), d(P, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(P, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, K))))), L)))), d(P, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, V)))), N)))), M)))))), M))))), O))), K))))), L)))), M)))), N)))), M)))))), M))))), O)))))), M))), V)), W))), K))))), L)))), M))), K))))), L)))))), M)))), N)))), M)))))), M))))), O)))), N)))), M)))))), M))))), O))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))), M)))))), M))))), O))), K))))), L)))), M)))), N)))), M)))))), M))))), O))))))), M)))), V))), W)-[P=d(2, d(1, 1)), X=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, W))))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), U=d(2, d(1, W)), T=d(2, d(X, d(d(2, d(1, d(2, d(1, d(X, M))))), d(1, A1)))), Q=d(2, d(R, B1)), C1=d(3, d(Q, D1)), Z=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, B1))))), M))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), T), D=d(d(d(2, d(1, 2)), 1), Q), W=d(d(2, 1), 1), M=d(P, W), N=d(P, d(d(2, d(1, E1)), D1)), D1=d(R, M), L=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), N)))), M)), A1=d(d(2, d(1, d(2, W))), M), B1=d(d(2, d(1, d(2, d(d(2, d(1, U)), N)))), M), I=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N)))), M)))))), M))))), O), E1=d(d(2, d(R, d(d(2, d(1, d(2, D1))), W))), W), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(P, I))))), M))), d(d(2, d(1, Z)), d(I, d(d(3, d(3, d(1, F1))), F1))))))), M)), W), O=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), W))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(Y, N)))), M)))))), M)))))), N)))), M))), W)))))]).
mm_proof('3ad2antl3', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), I))))), J))))), I))))), I))))), K))))), I))))))), I)))))), L)))), G)))))), H))))), I))))), d(M, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, G))))), H)))), I)))), J)))), I)))), I)))), K)))), I)))))), I))))), L))), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I))))), I))))), K))))), I))))))), I)))))), L)-[M=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), Q=d(2, d(1, S)), N=d(2, d(O, V)), W=d(3, d(N, X)), U=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, V))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), S=d(d(2, 1), 1), I=d(M, S), J=d(M, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), K)))), I)))))), I))))), L))), G))))), H)))), I)))), K)))), I)))))), I))))), L)), K=d(M, d(d(2, d(1, Y)), X)), X=d(O, I), H=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), I)))), K)))), I)), V=d(d(2, d(1, d(2, d(d(2, d(1, Q)), K)))), I), R=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(O, d(d(2, d(1, d(2, X))), S))), S), L=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, R))))), I))), d(d(2, d(1, U)), d(R, d(d(3, d(3, d(1, Z))), Z))))))), I)), S), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), I))), S))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(T, K)))), I)))))), I)))))), K)))), I))), S)))))]).
mm_proof('3ad2antr1', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), E))))), F)))), G))), H)))), C)))))), D))))), d(I, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, F))))), d(1, N)))), d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, C))))), D)))), E)))), F))), G)), H))), C))))), D)))), F))), C))))), D)))))), F)))), P)))), F)))))), F))))), Q)))), P)))), F)))))), F))))), Q))), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), P)))), F)))))), F))))), Q))), C))))), D)))), F)))), P)))), F)))))), F))))), Q))))))), F)))), G))), H)-[I=d(2, d(1, 1)), M=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, H))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), O=d(2, d(1, H)), J=d(2, d(K, U)), V=d(3, d(J, W)), T=d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, U))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), H=d(d(2, 1), 1), F=d(I, H), E=d(I, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, G)))), P)))), F)))))), F))))), Q))), C))))), D)))), F)))), P)))), F)))))), F))))), Q)), P=d(I, d(d(2, d(1, X)), W)), W=d(K, F), D=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), P)))), F)), N=d(d(2, d(1, d(2, H))), F), U=d(d(2, d(1, d(2, d(d(2, d(1, O)), P)))), F), R=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), P)))), F)))))), F))))), Q), X=d(d(2, d(K, d(d(2, d(1, d(2, W))), H))), H), Q=d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(R, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, R))))), F))), d(d(2, d(1, T)), d(R, d(d(3, d(3, d(1, Y))), Y))))))), F)), H), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(X, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), F))), H))), d(3, d(J, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(S, P)))), F)))))), F)))))), P)))), F))), H)))))]).
mm_proof('3ad2antr2', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), C))))), D)))), J)))), K)))), J)))))), J))))), L))))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L))))))), J)))), I))), M)))), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, O)))), d(E, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, C))))), D)))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, I)))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L)))))), J))), I)), M))), C))))), D)))), J))), C))))), D)))))), J)))), K)))), J)))))), J))))), L)))), K)))), J)))))), J))))), L))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), K)))), J)))))), J))))), L))), C))))), D)))), J)))), K)))), J)))))), J))))), L))))))), J)))), I))), M)-[E=d(2, d(1, 1)), N=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, M))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), P=d(2, d(1, M)), F=d(2, d(G, T)), U=d(3, d(F, V)), S=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, T))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), M=d(d(2, 1), 1), J=d(E, M), K=d(E, d(d(2, d(1, W)), V)), V=d(G, J), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), K)))), J)), O=d(d(2, d(1, d(2, M))), J), T=d(d(2, d(1, d(2, d(d(2, d(1, P)), K)))), J), Q=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), J)))))), J))))), L), W=d(d(2, d(G, d(d(2, d(1, d(2, V))), M))), M), L=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(E, Q))))), J))), d(d(2, d(1, S)), d(Q, d(d(3, d(3, d(1, X))), X))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), M))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(R, K)))), J)))))), J)))))), K)))), J))), M)))))]).
mm_proof('3ad2antr3', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), J)))), K)))))), K))))), L))), C))))), D)))), K)))), J)))), K)))))), K))))), L))))))), K)))), M))), N)))), C)))))), D))))), d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, C))))), D)))), K)))), I)))), K)))), K)))), J)))), K)))))), K))))), L))), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)))), K)))))), K))))), L))), C))))), D)))), K)))), J)))), K)))))), K))))), L))))))), K)))), M))), N)-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, N))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), O=d(2, d(1, N)), F=d(2, d(G, S)), T=d(3, d(F, U)), R=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, S))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), K=d(E, N), I=d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), C))))), D)))), K)))), J)))), K)))))), K))))), L)), J=d(E, d(d(2, d(1, V)), U)), U=d(G, K), D=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), K)))), J)))), K)), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), J)))), K), P=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), K)))))), K))))), L), V=d(d(2, d(G, d(d(2, d(1, d(2, U))), N))), N), L=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(P, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(E, P))))), K))), d(d(2, d(1, R)), d(P, d(d(3, d(3, d(1, W))), W))))))), K)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), K))), N))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Q, J)))), K)))))), K)))))), J)))), K))), N)))))]).
mm_proof(simpl3, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F)))), F)))), G)))), F)))))), F))))), H)-[K=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), L=d(2, d(1, N)), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), F))), N=d(d(2, 1), 1), F=d(K, N), E=d(K, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)), G=d(K, d(d(2, d(1, T)), S)), S=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), F)))), G)))), F)), Q=d(d(2, d(1, d(2, d(d(2, d(1, L)), G)))), F), M=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), H=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, M))))), F))), d(d(2, d(1, P)), d(M, d(d(3, d(3, d(1, U))), U))))))), F)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, G)))), F)))))), F)))))), G)))), F))), N)))))]).
mm_proof(simpr3, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, B))))), C)))), J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M)-[D=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, M))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), N=d(2, d(1, M)), E=d(2, d(F, R)), S=d(3, d(E, T)), Q=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, R))))), J))), M=d(d(2, 1), 1), J=d(D, M), H=d(D, A), I=d(D, d(d(2, d(1, U)), T)), T=d(F, J), C=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), I)))), J)), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), I)))), J), O=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), A=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), B))))), C)))), J)))), I)))), J)))))), J))))), K), U=d(d(2, d(F, d(d(2, d(1, d(2, T))), M))), M), K=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(O, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(D, O))))), J))), d(d(2, d(1, Q)), d(O, d(d(3, d(3, d(1, V))), V))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), M))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(P, I)))), J)))))), J)))))), I)))), J))), M)))))]).
mm_proof(simp3l, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), I))))), J)))), G)))), F)))), G)))))), G))))), H)))))), G)))), G)))), F)))), G)))))), G))))), H))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(D, L), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), G), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), H=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, K))))), G))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, F)))), G)))))), G)))))), F)))), G))), L)))))]).
mm_proof(simp3r, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), F)))))), F))))), G))), H))))), I)))), F)))), E)))), F)))))), F))))), G))), H))))), I)))), F)))), D)))), F)))), F)))), E)))), F)))))), F))))), G))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[K=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), F))), L=d(d(2, 1), 1), F=d(K, L), D=d(K, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), F)))))), F))))), G))), H))))), I)))), F)))), E)))), F)))))), F))))), G)), E=d(K, d(d(2, d(1, R)), Q)), Q=d(B, F), I=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), F)))), E)))), F)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), E)))), F), J=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), G=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(K, J))))), F))), d(d(2, d(1, N)), d(J, d(d(3, d(3, d(1, S))), S))))))), F)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), F))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, E)))), F)))))), F)))))), E)))), F))), L)))))]).
mm_proof(simp13, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J))), K))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), d(D, L))))), H)))), H)))), I)))), H)))))), H))))), J))), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), I)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), I)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), F))))), G)))), H)))), I)))), H)))))), H))))), J), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, I)))), H)))))), H)))))), I)))), H))), M)))))]).
mm_proof(simp21, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)))))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), K))))), L)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), H=d(D, d(d(2, d(1, S)), R)), R=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp22, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, S)), R)), R=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp23, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, E), J=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), J)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, J)))), H)))))), H)))))), J)))), H))), M)))))]).
mm_proof(simp31, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)))))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), K))))), L)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), H=d(D, d(d(2, d(1, S)), R)), R=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp32, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, S)), R)), R=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp33, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, E), J=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), J)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, J)))), H)))))), H)))))), J)))), H))), M)))))]).
mm_proof(simprl1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K)))))), H))), E)), M)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, E), J=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), J)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), H), L=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, L))))), H))), d(d(2, d(1, O)), d(L, d(d(3, d(3, d(1, T))), T))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, J)))), H)))))), H)))))), J)))), H))), M)))))]).
mm_proof(simprl2, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, F)))), G)))))), G))))), H)))))), G)))), G)))), F)))), G)))))), G))))), H))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), F)))), G)))))), G))))), H))), J))))), K)))), G)))), F)))), G)))))), G))))), H))), J))))), K)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, L)))), F)))), G)))))), G))))), H))), J))))), K)))), G)))), F)))), G)))))), G))))), H)))))), G))), L)), M)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), J))))), K)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), I=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, I))))), G))), d(d(2, d(1, O)), d(I, d(d(3, d(3, d(1, T))), T))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simprl3, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, L)))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J)))))), H))), L)), M)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), I)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), I)))), H), K=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), F))))), G)))), H)))), I)))), H)))))), H))))), J), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, K))))), H))), d(d(2, d(1, O)), d(K, d(d(3, d(3, d(1, T))), T))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, I)))), H)))))), H)))))), I)))), H))), M)))))]).
mm_proof(simprr1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), H))), L=d(d(2, 1), 1), H=d(D, L), I=d(D, d(d(2, d(1, R)), Q)), Q=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), I)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), I)))), H), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, K))))), H))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), H)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, I)))), H)))))), H)))))), I)))), H))), L)))))]).
mm_proof(simprr2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, F)))), G)))))), G))))), H)))))), G)))), G)))), F)))), G)))))), G))))), H))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), F)))), G)))))), G))))), H))), J))))), K)))), G)))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), J))))), K)))), G)))), F)))), G)))))), G))))), H)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), J))))), K)))), G)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(D, L), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), G), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), H=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, I))))), G))), d(d(2, d(1, N)), d(I, d(d(3, d(3, d(1, S))), S))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, F)))), G)))))), G)))))), F)))), G))), L)))))]).
mm_proof(simprr3, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), H))), L=d(d(2, 1), 1), H=d(D, L), I=d(D, d(d(2, d(1, R)), Q)), Q=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), I)))), H)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), I)))), H), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), I)))), H)))))), H))))), J), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), J=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, K))))), H))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), H)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, I)))), H)))))), H)))))), I)))), H))), L)))))]).
mm_proof(simpl2l, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, I))))), J)))), F)))), d(K, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)))))), F)))), F)))), G)))), F)))))), F))))), H))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F)))), F)))), G)))), F)))))), F))))), H)-[K=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Q)), I))))), J)))), F)))), L=d(2, d(1, N)), A=d(2, d(B, R)), S=d(3, d(A, T)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), F))), N=d(d(2, 1), 1), F=d(K, N), E=d(K, Q), G=d(K, d(d(2, d(1, U)), T)), T=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), F)))), G)))), F)), R=d(d(2, d(1, d(2, d(d(2, d(1, L)), G)))), F), M=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), N))), N), H=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, M))))), F))), d(d(2, d(1, P)), d(M, d(d(3, d(3, d(1, V))), V))))))), F)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, G)))), F)))))), F)))))), G)))), F))), N)))))]).
mm_proof(simpl2r, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, L))))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F)))), F)))), G)))), F)))))), F))))), H)-[K=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), I))))), J)))), F)))), M=d(2, d(1, O)), A=d(2, d(B, R)), S=d(3, d(A, T)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), F))), O=d(d(2, 1), 1), F=d(K, O), E=d(K, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)), G=d(K, d(d(2, d(1, U)), T)), T=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), F)))), G)))), F)), R=d(d(2, d(1, d(2, d(d(2, d(1, M)), G)))), F), N=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), O))), O), H=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(N, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, N))))), F))), d(d(2, d(1, Q)), d(N, d(d(3, d(3, d(1, V))), V))))))), F)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), O))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, G)))), F)))))), F)))))), G)))), F))), O)))))]).
mm_proof(simpl3l, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), L)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, J))))), K)))), G)))), L)))), G)))), G)))), H)))), G)))))), G))))), I))), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), G)))), G)))), H)))), G)))))), G))))), I)-[E=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), J))))), K)))), G)))), M=d(2, d(1, O)), A=d(2, d(B, R)), S=d(3, d(A, T)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), G))), O=d(d(2, 1), 1), G=d(E, O), L=d(E, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, H)))), G)))))), G))))), I)), H=d(E, d(d(2, d(1, U)), T)), T=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), G)))), H)))), G)), R=d(d(2, d(1, d(2, d(d(2, d(1, M)), H)))), G), N=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), O))), O), I=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(N, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(E, N))))), G))), d(d(2, d(1, Q)), d(N, d(d(3, d(3, d(1, V))), V))))))), G)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), O))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, H)))), G)))))), G)))))), H)))), G))), O)))))]).
mm_proof(simpl3r, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F)))), F)))), G)))), F)))))), F))))), H)-[K=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), L=d(2, d(1, N)), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), F))), N=d(d(2, 1), 1), F=d(K, N), E=d(K, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)), G=d(K, d(d(2, d(1, T)), S)), S=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), F)))), G)))), F)), Q=d(d(2, d(1, d(2, d(d(2, d(1, L)), G)))), F), M=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), H=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, M))))), F))), d(d(2, d(1, P)), d(M, d(d(3, d(3, d(1, U))), U))))))), F)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, G)))), F)))))), F)))))), G)))), F))), N)))))]).
mm_proof(simpr2l, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, A)))), L)))), E)))))), E))))), M))), B))))), C)))), E)))), L)))), E)))))), E))))), M)))))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, E))))), d(1, O)))), d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, B))))), C)))), D)))), E))), F)), G))), B))))), C)))), E))), B))))), C)))))), E)))), L)))), E)))))), E))))), M)))), L)))), E)))))), E))))), M))), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), L)))), E)))))), E))))), M))), B))))), C)))), E)))), L)))), E)))))), E))))), M)))))), E))), F)), G)-[H=d(2, d(1, 1)), N=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, G))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), P=d(2, d(1, G)), I=d(2, d(J, T)), U=d(3, d(I, V)), S=d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, T))))), E))), G=d(d(2, 1), 1), E=d(H, G), D=d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, F)))), L)))), E)))))), E))))), M))), B))))), C)))), E)))), L)))), E)))))), E))))), M)), L=d(H, d(d(2, d(1, W)), V)), V=d(J, E), C=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), L)))), E)), O=d(d(2, d(1, d(2, G))), E), T=d(d(2, d(1, d(2, d(d(2, d(1, P)), L)))), E), Q=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), L)))), E)))))), E))))), M), A=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), L)))), E)))))), E))))), M), W=d(d(2, d(J, d(d(2, d(1, d(2, V))), G))), G), M=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(Q, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, Q))))), E))), d(d(2, d(1, S)), d(Q, d(d(3, d(3, d(1, X))), X))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E))), G))), d(3, d(I, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(R, L)))), E)))))), E)))))), L)))), E))), G)))))]).
mm_proof(simpr2r, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), d(D, A))))), E))), F)), G))), B))))), C)))), d(D, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, E))))), d(1, L)))), d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, B))))), C)))), d(D, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, F)))), N)))), E)))))), E))))), O))), B))))), C)))), E)))), N)))), E)))))), E))))), O)))))), E))), F)), G))), B))))), C)))), E))), B))))), C)))))), E)))), N)))), E)))))), E))))), O)))), N)))), E)))))), E))))), O))), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))), E)))))), E))))), O))), B))))), C)))), E)))), N)))), E)))))), E))))), O)))))), E))), F)), G)-[D=d(2, d(1, 1)), K=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, G))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), M=d(2, d(1, G)), H=d(2, d(I, S)), T=d(3, d(H, U)), R=d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, S))))), E))), G=d(d(2, 1), 1), E=d(D, G), N=d(D, d(d(2, d(1, V)), U)), U=d(I, E), C=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), E)), L=d(d(2, d(1, d(2, G))), E), S=d(d(2, d(1, d(2, d(d(2, d(1, M)), N)))), E), P=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), N)))), E)))))), E))))), O), A=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), N)))), E)))))), E))))), O))))), N)))), E)))))), E))))), O))), B))))), C)))), E)))), N)))), E)))))), E))))), O), V=d(d(2, d(I, d(d(2, d(1, d(2, U))), G))), G), O=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(P, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(D, P))))), E))), d(d(2, d(1, R)), d(P, d(d(3, d(3, d(1, W))), W))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), E))), G))), d(3, d(H, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(Q, N)))), E)))))), E)))))), N)))), E))), G)))))]).
mm_proof(simpr3l, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, H)))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)))))), J))), H)), L))), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)))))), J))), H)), L))), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, B))))), C)))), J)))), M)))), J)))), J)))), I)))), J)))))), J))))), K))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)))))), J))), H)), L)-[D=d(2, d(1, 1)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, L))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), N=d(2, d(1, L)), E=d(2, d(F, R)), S=d(3, d(E, T)), Q=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, R))))), J))), L=d(d(2, 1), 1), J=d(D, L), M=d(D, A), I=d(D, d(d(2, d(1, U)), T)), T=d(F, J), C=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), J)))), I)))), J)), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), I)))), J), O=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), A=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H)), B))))), C)))), J)))), I)))), J)))))), J))))), K), U=d(d(2, d(F, d(d(2, d(1, d(2, T))), L))), L), K=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(O, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(D, O))))), J))), d(d(2, d(1, Q)), d(O, d(d(3, d(3, d(1, V))), V))))))), J)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), L))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(P, I)))), J)))))), J)))))), I)))), J))), L)))))]).
mm_proof(simpr3r, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), d(D, A))))), E))), F)), G))), B))))), C)))), d(D, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, B))))), C)))), E)))), L)))), E)))), E)))), M)))), E)))))), E))))), N))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), M)))), E)))))), E))))), N))), B))))), C)))), E)))), M)))), E)))))), E))))), N)))))), E))), F)), G)-[D=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, G))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), K=d(2, d(1, G)), H=d(2, d(I, R)), S=d(3, d(H, T)), Q=d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, R))))), E))), G=d(d(2, 1), 1), E=d(D, G), L=d(D, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), M)))), E)))))), E))))), N)), M=d(D, d(d(2, d(1, U)), T)), T=d(I, E), C=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), E)))), M)))), E)), R=d(d(2, d(1, d(2, d(d(2, d(1, K)), M)))), E), O=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), M)))), E)))))), E))))), N), A=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M)))), E)))))), E))))), N))), B))))), C)))), E)))), M)))), E)))))), E))))), N), U=d(d(2, d(I, d(d(2, d(1, d(2, T))), G))), G), N=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(O, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(D, O))))), E))), d(d(2, d(1, Q)), d(O, d(d(3, d(3, d(1, V))), V))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), E))), G))), d(3, d(H, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(P, M)))), E)))))), E)))))), M)))), E))), G)))))]).
mm_proof(simp2rl, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, H)))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), H)), L))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), d(D, E))))), J)))), J)))), I)))), J)))))), J))))), K))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), J))), L=d(d(2, 1), 1), J=d(D, L), I=d(D, d(d(2, d(1, S)), R)), R=d(B, J), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), J)))), I)))), J)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), I)))), J), M=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H)), F))))), G)))), J)))), I)))), J)))))), J))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), L))), L), K=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, M))))), J))), d(d(2, d(1, O)), d(M, d(d(3, d(3, d(1, T))), T))))))), J)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, I)))), J)))))), J)))))), I)))), J))), L)))))]).
mm_proof(simp2rr, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(D, L), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), G), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), H=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, K))))), G))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, F)))), G)))))), G)))))), F)))), G))), L)))))]).
mm_proof(simp3rl, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, H)))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), H)), L))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), d(D, E))))), J)))), J)))), I)))), J)))))), J))))), K))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), J))), L=d(d(2, 1), 1), J=d(D, L), I=d(D, d(d(2, d(1, S)), R)), R=d(B, J), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), J)))), I)))), J)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), I)))), J), M=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H)), F))))), G)))), J)))), I)))), J)))))), J))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), L))), L), K=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(M, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, M))))), J))), d(d(2, d(1, O)), d(M, d(d(3, d(3, d(1, T))), T))))))), J)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, I)))), J)))))), J)))))), I)))), J))), L)))))]).
mm_proof(simp3rr, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(D, L), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), G), K=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), H=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(K, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, K))))), G))), d(d(2, d(1, N)), d(K, d(d(3, d(3, d(1, S))), S))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, F)))), G)))))), G)))))), F)))), G))), L)))))]).
mm_proof(simpl13, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, E)))), F)))), F)))), G)))), F)))))), F))))), H))), M)))))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), N)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, N)))), F)))), F)))), G)))), F)))))), F))))), H))), M)))))), F)))), F)))), G)))), F)))))), F))))), H)-[K=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, I))))), J)))), F)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, S)), I))))), J)))), F)))), R=d(2, d(1, O)), A=d(2, d(B, T)), U=d(3, d(A, V)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, T))))), F))), O=d(d(2, 1), 1), F=d(K, O), N=d(K, S), E=d(K, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)), G=d(K, d(d(2, d(1, W)), V)), V=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), F)))), G)))), F)), T=d(d(2, d(1, d(2, d(d(2, d(1, R)), G)))), F), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H), W=d(d(2, d(B, d(d(2, d(1, d(2, V))), O))), O), M=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, X))))), F))), d(d(2, d(1, Q)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), F)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), O))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, G)))), F)))))), F)))))), G)))), F))), O)))))]).
mm_proof(simpl21, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, E)))), F)))), F)))), G)))), F)))))), F))))), H))), M)))))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(K, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)))))), F)))), F)))), G)))), F)))))), F))))), H))), M)))))), F)))), F)))), G)))), F)))))), F))))), H)-[K=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, I))))), J)))), F)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, R)), I))))), J)))), F)))), Q=d(2, d(1, N)), A=d(2, d(B, S)), T=d(3, d(A, U)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, S))))), F))), N=d(d(2, 1), 1), F=d(K, N), E=d(K, R), G=d(K, d(d(2, d(1, V)), U)), U=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), F)))), G)))), F)), S=d(d(2, d(1, d(2, d(d(2, d(1, Q)), G)))), F), W=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H), V=d(d(2, d(B, d(d(2, d(1, d(2, U))), N))), N), M=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, W))))), F))), d(d(2, d(1, P)), d(W, d(d(3, d(3, d(1, X))), X))))))), F)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, G)))), F)))))), F)))))), G)))), F))), N)))))]).
mm_proof(simpl22, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), K)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), K)))), F)))), F)))), G)))), F)))))), F))))), H)-[L=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P)), I))))), J)))), F)))), Q=d(2, d(1, M)), A=d(2, d(B, R)), S=d(3, d(A, T)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), F))), M=d(d(2, 1), 1), F=d(L, M), E=d(L, P), K=d(L, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, I))))), J)))), F)))), d(L, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)))))), F)))), F)))), G)))), F)))))), F))))), H))), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), G=d(L, d(d(2, d(1, V)), T)), T=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), F)))), G)))), F)), R=d(d(2, d(1, d(2, d(d(2, d(1, Q)), G)))), F), U=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H), V=d(d(2, d(B, d(d(2, d(1, d(2, T))), M))), M), H=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(L, U))))), F))), d(d(2, d(1, O)), d(U, d(d(3, d(3, d(1, W))), W))))))), F)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, G)))), F)))))), F)))))), G)))), F))), M)))))]).
mm_proof(simpl23, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), K)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(L, M))))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), K)))), F)))), F)))), G)))), F)))))), F))))), H)-[L=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), I))))), J)))), F)))), Q=d(2, d(1, N)), A=d(2, d(B, R)), S=d(3, d(A, T)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), F))), N=d(d(2, 1), 1), F=d(L, N), E=d(L, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)), K=d(L, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), G=d(L, d(d(2, d(1, V)), T)), T=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), F)))), G)))), F)), R=d(d(2, d(1, d(2, d(d(2, d(1, Q)), G)))), F), U=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H), V=d(d(2, d(B, d(d(2, d(1, d(2, T))), N))), N), H=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(L, U))))), F))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, W))), W))))))), F)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, G)))), F)))))), F)))))), G)))), F))), N)))))]).
mm_proof(simpl31, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, E)))), F)))), F)))), G)))), F)))))), F))))), H))), M)))))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), N)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), d(K, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, N)))), F)))), F)))), G)))), F)))))), F))))), H))), M)))))), F)))), F)))), G)))), F)))))), F))))), H)-[K=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, I))))), J)))), F)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, S)), I))))), J)))), F)))), R=d(2, d(1, O)), A=d(2, d(B, T)), U=d(3, d(A, V)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, T))))), F))), O=d(d(2, 1), 1), F=d(K, O), E=d(K, S), N=d(K, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)), G=d(K, d(d(2, d(1, W)), V)), V=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), F)))), G)))), F)), T=d(d(2, d(1, d(2, d(d(2, d(1, R)), G)))), F), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H), W=d(d(2, d(B, d(d(2, d(1, d(2, V))), O))), O), M=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(K, X))))), F))), d(d(2, d(1, Q)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), F)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), O))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, G)))), F)))))), F)))))), G)))), F))), O)))))]).
mm_proof(simpl32, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(E, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), L)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), L)))), G)))), G)))), H)))), G)))))), G))))), I)-[E=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), J))))), K)))), G)))), Q=d(2, d(1, N)), A=d(2, d(B, R)), S=d(3, d(A, T)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), G))), N=d(d(2, 1), 1), G=d(E, N), M=d(E, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, H)))), G)))))), G))))), I)), L=d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, J))))), K)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), H=d(E, d(d(2, d(1, V)), T)), T=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), R=d(d(2, d(1, d(2, d(d(2, d(1, Q)), H)))), G), U=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), V=d(d(2, d(B, d(d(2, d(1, d(2, T))), N))), N), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(E, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, W))), W))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(V, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simpl33, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), K)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), K)))), F)))), F)))), G)))), F)))))), F))))), H)-[L=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), G)))), F)))))), F))))), H))), I))))), J)))), F)))), P=d(2, d(1, M)), A=d(2, d(B, Q)), R=d(3, d(A, S)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), F))), M=d(d(2, 1), 1), F=d(L, M), E=d(L, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(D, G)))), F)))))), F))))), H)), K=d(L, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, I))))), J)))), F)))), E)))), F)))), F)))), G)))), F)))))), F))))), H))), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), G=d(L, d(d(2, d(1, U)), S)), S=d(B, F), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), F)))), G)))), F)), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), G)))), F), T=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(B, d(d(2, d(1, d(2, S))), M))), M), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(L, T))))), F))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, V))), V))))))), F)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), F))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, G)))), F)))))), F)))))), G)))), F))), M)))))]).
mm_proof(simpr11, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, D)), E))))), F)))), G)))), H)))), G)))))), G))))), I))), E))))), F)))), J)))), G))), D)), K))), E))))), F)))), L)))), G))), D)), K))), E))))), F)))), J)))), G))), D)), K))), E))))), F)))), L)))), G))), D)), K)-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), Q=d(2, d(1, K)), A=d(2, d(B, R)), S=d(3, d(A, T)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), G))), K=d(d(2, 1), 1), G=d(M, K), J=d(M, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, D)))), H)))), G)))))), G))))), I))), E))))), F)))), G)))), H)))), G)))))), G))))), I)), L=d(M, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, G))))), d(1, U)))), d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, E))))), F)))), J)))), G))), D)), K))), E))))), F)))), G))), E))))), F)))))), G)))), H)))), G)))))), G))))), I)))), H)))), G)))))), G))))), I))), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), H)))), G)))))), G))))), I))), E))))), F)))), G)))), H)))), G)))))), G))))), I)), H=d(M, d(d(2, d(1, W)), T)), T=d(B, G), F=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), H)))), G)), U=d(d(2, d(1, d(2, K))), G), R=d(d(2, d(1, d(2, d(d(2, d(1, Q)), H)))), G), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), W=d(d(2, d(B, d(d(2, d(1, d(2, T))), K))), K), I=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(M, V))))), G))), d(d(2, d(1, P)), d(V, d(d(3, d(3, d(1, X))), X))))))), G)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), K)))))]).
mm_proof(simpr12, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, A)))), H)))), I)))))), I))))), J))), B))))), C)))), I)))), H)))), I)))))), I))))), J)))))), I))), K)), L))), B))))), C)))), M)))), I))), K)), L))), B))))), C)))), N)))), I))), K)), L))), B))))), C)))), M)))), I))), K)), L)-[D=d(2, d(1, 1)), O=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, L))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), R=d(2, d(1, L)), E=d(2, d(F, S)), T=d(3, d(E, U)), Q=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, S))))), I))), L=d(d(2, 1), 1), I=d(D, L), N=d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, K)))), H)))), I)))))), I))))), J))), B))))), C)))), I)))), H)))), I)))))), I))))), J)), M=d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, I))))), d(1, V)))), d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, B))))), C)))), N)))), I))), K)), L))), B))))), C)))), I))), B))))), C)))))), I)))), H)))), I)))))), I))))), J)))), H)))), I)))))), I))))), J))), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), H)))), I)))))), I))))), J))), B))))), C)))), I)))), H)))), I)))))), I))))), J)), H=d(D, d(d(2, d(1, X)), U)), U=d(F, I), C=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), H)))), I)), V=d(d(2, d(1, d(2, L))), I), S=d(d(2, d(1, d(2, d(d(2, d(1, R)), H)))), I), W=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), H)))), I)))))), I))))), J), A=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K)), B))))), C)))), I)))), H)))), I)))))), I))))), J), X=d(d(2, d(F, d(d(2, d(1, d(2, U))), L))), L), J=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(D, W))))), I))), d(d(2, d(1, Q)), d(W, d(d(3, d(3, d(1, Y))), Y))))))), I)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(X, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), L))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(P, H)))), I)))))), I)))))), H)))), I))), L)))))]).
mm_proof(simpr13, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), O))))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), B))))), C)))), P)))), J))), L)), M))), B))))), C)))), d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, J))))), d(1, R)))), d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, P)))), J))), L)), M))), B))))), C)))), J))), B))))), C)))))), J)))), I)))), J)))))), J))))), K)))), I)))), J)))))), J))))), K))), O))))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M)-[D=d(2, d(1, 1)), Q=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, B))))), C)))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), S=d(2, d(1, M)), E=d(2, d(F, V)), W=d(3, d(E, X)), U=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, V))))), J))), M=d(d(2, 1), 1), J=d(D, M), H=d(D, A), P=d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, L)))), I)))), J)))))), J))))), K))), B))))), C)))), J)))), I)))), J)))))), J))))), K)), I=d(D, d(d(2, d(1, Y)), X)), X=d(F, J), C=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), I)))), J)), R=d(d(2, d(1, d(2, M))), J), V=d(d(2, d(1, d(2, d(d(2, d(1, S)), I)))), J), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), A=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), B))))), C)))), J)))), I)))), J)))))), J))))), K), Y=d(d(2, d(F, d(d(2, d(1, d(2, X))), M))), M), O=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(D, Z))))), J))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), M))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(T, I)))), J)))))), J)))))), I)))), J))), M)))))]).
mm_proof(simpr21, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), H)))), E))), F)), G))), B))))), C)))), d(I, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, A)))), M)))), E)))))), E))))), N))), B))))), C)))), E)))), M)))), E)))))), E))))), N)))))), E))), F)), G))), B))))), C)))), H)))), E))), F)), G)-[I=d(2, d(1, 1)), O=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, G))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), R=d(2, d(1, G)), J=d(2, d(K, S)), T=d(3, d(J, U)), Q=d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, S))))), E))), G=d(d(2, 1), 1), E=d(I, G), D=d(I, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, F)))), M)))), E)))))), E))))), N))), B))))), C)))), E)))), M)))), E)))))), E))))), N)), H=d(I, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(d(2, d(1, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, E))))), d(1, V)))), d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, B))))), C)))), D)))), E))), F)), G))), B))))), C)))), E))), B))))), C)))))), E)))), M)))), E)))))), E))))), N)))), M)))), E)))))), E))))), N))), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), M)))), E)))))), E))))), N))), B))))), C)))), E)))), M)))), E)))))), E))))), N)), M=d(I, d(d(2, d(1, X)), U)), U=d(K, E), C=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), M)))), E)), V=d(d(2, d(1, d(2, G))), E), S=d(d(2, d(1, d(2, d(d(2, d(1, R)), M)))), E), W=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), M)))), E)))))), E))))), N), A=d(d(2, d(1, d(3, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), M)))), E)))))), E))))), N), X=d(d(2, d(K, d(d(2, d(1, d(2, U))), G))), G), N=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, W))))), E))), d(d(2, d(1, Q)), d(W, d(d(3, d(3, d(1, Y))), Y))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(X, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), E))), G))), d(3, d(J, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(P, M)))), E)))))), E)))))), M)))), E))), G)))))]).
mm_proof(simpr22, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), H)))), E))), F)), G))), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), H)))), E))), F)), G)-[I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, G))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), P=d(2, d(1, G)), M=d(2, d(K, Q)), R=d(3, d(M, S)), O=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, Q))))), E))), G=d(d(2, 1), 1), E=d(I, G), D=d(I, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, A)))), T)))), E)))))), E))))), U))), B))))), C)))), E)))), T)))), E)))))), E))))), U)), H=d(I, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, E))))), d(1, V)))), d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, B))))), C)))), d(I, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, F)))), T)))), E)))))), E))))), U))), B))))), C)))), E)))), T)))), E)))))), E))))), U)))))), E))), F)), G))), B))))), C)))), E))), B))))), C)))))), E)))), T)))), E)))))), E))))), U)))), T)))), E)))))), E))))), U))), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), T)))), E)))))), E))))), U))), B))))), C)))), E)))), T)))), E)))))), E))))), U)), T=d(I, d(d(2, d(1, X)), S)), S=d(K, E), C=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), T)))), E)), V=d(d(2, d(1, d(2, G))), E), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), T)))), E), W=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), T)))), E)))))), E))))), U), A=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), T)))), E)))))), E))))), U), X=d(d(2, d(K, d(d(2, d(1, d(2, S))), G))), G), U=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(I, W))))), E))), d(d(2, d(1, O)), d(W, d(d(3, d(3, d(1, Y))), Y))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(X, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), E))), G))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(N, T)))), E)))))), E)))))), T)))), E))), G)))))]).
mm_proof(simpr23, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, E)))), M)))), E)))), E)))), N)))), E)))))), E))))), O))), P))))), N)))), E)))))), E))))), O))), B))))), C)))), E)))), N)))), E)))))), E))))), O)))))), E))), F)), G))), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, E))))), d(1, R)))), d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, F)))), N)))), E)))))), E))))), O))), B))))), C)))), E)))), N)))), E)))))), E))))), O)))))), E))), F)), G))), B))))), C)))), E))), B))))), C)))))), E)))), N)))), E)))))), E))))), O)))), N)))), E)))))), E))))), O))), P))))), N)))), E)))))), E))))), O))), B))))), C)))), E)))), N)))), E)))))), E))))), O)))))), E))), F)), G)-[H=d(2, d(1, 1)), Q=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, G))))), L=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, B))))), C)))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), S=d(2, d(1, G)), I=d(2, d(J, V)), W=d(3, d(I, X)), U=d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, V))))), E))), G=d(d(2, 1), 1), E=d(H, G), M=d(H, A), D=d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N)))), E)))))), E))))), O))), B))))), C)))), E)))), N)))), E)))))), E))))), O)), N=d(H, d(d(2, d(1, Y)), X)), X=d(J, E), C=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), N)))), E)), R=d(d(2, d(1, d(2, G))), E), V=d(d(2, d(1, d(2, d(d(2, d(1, S)), N)))), E), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), N)))), E)))))), E))))), O), A=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), N)))), E)))))), E))))), O), Y=d(d(2, d(J, d(d(2, d(1, d(2, X))), G))), G), P=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(H, Z))))), E))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), E))), G))), d(3, d(I, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(T, N)))), E)))))), E)))))), N)))), E))), G)))))]).
mm_proof(simpr31, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, E))))), d(1, M)))), d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, D)))), E))), F)), G))), B))))), C)))), E))), B))))), C)))))), E)))), O)))), E)))))), E))))), P)))), O)))), E)))))), E))))), P))), Q))))), O)))), E)))))), E))))), P))), B))))), C)))), E)))), O)))), E)))))), E))))), P)))))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), O)))), E)))))), E))))), P))), B))))), C)))), E)))), O)))), E)))))), E))))), P)))))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, E)))), R)))), E)))), E)))), O)))), E)))))), E))))), P))), Q))))), O)))), E)))))), E))))), P))), B))))), C)))), E)))), O)))), E)))))), E))))), P)))))), E))), F)), G)-[H=d(2, d(1, 1)), L=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, G))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, B))))), C)))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), S=d(2, d(1, G)), I=d(2, d(J, V)), W=d(3, d(I, X)), U=d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, V))))), E))), G=d(d(2, 1), 1), E=d(H, G), R=d(H, A), D=d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, F)))), O)))), E)))))), E))))), P))), B))))), C)))), E)))), O)))), E)))))), E))))), P)), O=d(H, d(d(2, d(1, Y)), X)), X=d(J, E), C=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), O)))), E)), M=d(d(2, d(1, d(2, G))), E), V=d(d(2, d(1, d(2, d(d(2, d(1, S)), O)))), E), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), O)))), E)))))), E))))), P), A=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), O)))), E)))))), E))))), P), Y=d(d(2, d(J, d(d(2, d(1, d(2, X))), G))), G), Q=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(H, Z))))), E))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), E))), G))), d(3, d(I, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(T, O)))), E)))))), E)))))), O)))), E))), G)))))]).
mm_proof(simpr32, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, E))))), d(1, M)))), d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, F)))), O)))), E)))))), E))))), P))), B))))), C)))), E)))), O)))), E)))))), E))))), P)))))), E))), F)), G))), B))))), C)))), E))), B))))), C)))))), E)))), O)))), E)))))), E))))), P)))), O)))), E)))))), E))))), P))), Q))))), O)))), E)))))), E))))), P))), B))))), C)))), E)))), O)))), E)))))), E))))), P)))))), E))), F)), G))), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, E)))), R)))), E)))), E)))), O)))), E)))))), E))))), P))), Q))))), O)))), E)))))), E))))), P))), B))))), C)))), E)))), O)))), E)))))), E))))), P)))))), E))), F)), G)-[H=d(2, d(1, 1)), L=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, G))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, B))))), C)))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), S=d(2, d(1, G)), I=d(2, d(J, V)), W=d(3, d(I, X)), U=d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, V))))), E))), G=d(d(2, 1), 1), E=d(H, G), R=d(H, A), D=d(H, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), O)))), E)))))), E))))), P))), B))))), C)))), E)))), O)))), E)))))), E))))), P)), O=d(H, d(d(2, d(1, Y)), X)), X=d(J, E), C=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), O)))), E)), M=d(d(2, d(1, d(2, G))), E), V=d(d(2, d(1, d(2, d(d(2, d(1, S)), O)))), E), Z=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), O)))), E)))))), E))))), P), A=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), O)))), E)))))), E))))), P), Y=d(d(2, d(J, d(d(2, d(1, d(2, X))), G))), G), Q=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(Z, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(H, Z))))), E))), d(d(2, d(1, U)), d(Z, d(d(3, d(3, d(1, A1))), A1))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), E))), G))), d(3, d(I, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(T, O)))), E)))))), E)))))), O)))), E))), G)))))]).
mm_proof(simpr33, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A)), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), H)))), E))), F)), G))), B))))), C)))), D)))), E))), F)), G))), B))))), C)))), H)))), E))), F)), G)-[I=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, G))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C)))), O=d(2, d(1, G)), L=d(2, d(J, P)), Q=d(3, d(L, R)), N=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, P))))), E))), G=d(d(2, 1), 1), E=d(I, G), S=d(I, A), D=d(I, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), E)))))), E))))), U))), B))))), C)))), E)))), T)))), E)))))), E))))), U)), H=d(I, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(d(2, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, B))))), C)))), E)))), S)))), E)))), E)))), T)))), E)))))), E))))), U))), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), T)))), E)))))), E))))), U))), B))))), C)))), E)))), T)))), E)))))), E))))), U)), T=d(I, d(d(2, d(1, W)), R)), R=d(J, E), C=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), E)))), T)))), E)), P=d(d(2, d(1, d(2, d(d(2, d(1, O)), T)))), E), V=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), T)))), E)))))), E))))), U), A=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), B))))), C)))), E)))), T)))), E)))))), E))))), U), W=d(d(2, d(J, d(d(2, d(1, d(2, R))), G))), G), U=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(I, V))))), E))), d(d(2, d(1, N)), d(V, d(d(3, d(3, d(1, X))), X))))))), E)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(W, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), E))), G))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, T)))), E)))))), E)))))), T)))), E))), G)))))]).
mm_proof(simp2l1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, J))))), K)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), M)))))), G)))), G)))), H)))), G)))))), G))))), I))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)))))), G)))), G)))), H)))), G)))))), G))))), I))), M)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Q)), J))))), K)))), G)))), L=d(2, d(1, N)), A=d(2, d(B, R)), S=d(3, d(A, T)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), G))), N=d(d(2, 1), 1), G=d(D, N), F=d(D, Q), H=d(D, d(d(2, d(1, U)), T)), T=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), R=d(d(2, d(1, d(2, d(d(2, d(1, L)), H)))), G), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), N))), N), M=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, V))))), G))), d(d(2, d(1, P)), d(V, d(d(3, d(3, d(1, W))), W))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp2l2, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, J))))), K)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), N)))))), G)))), G)))), H)))), G)))))), G))))), I))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), N)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), J))))), K)))), G)))), L=d(2, d(1, O)), A=d(2, d(B, R)), S=d(3, d(A, T)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), G))), O=d(d(2, 1), 1), G=d(D, O), M=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, U)), T)), T=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), G)))), H)))), G)), R=d(d(2, d(1, d(2, d(d(2, d(1, L)), H)))), G), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), O))), O), N=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(D, V))))), G))), d(d(2, d(1, Q)), d(V, d(d(3, d(3, d(1, W))), W))))))), G)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), O))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, H)))), G)))))), G)))))), H)))), G))), O)))))]).
mm_proof(simp2l3, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, J))))), K)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), M)))))), G)))), G)))), H)))), G)))))), G))))), I))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), M)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), L=d(2, d(1, N)), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, L)), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), M=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp2r1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I))), J)), K))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, I))))), d(1, M)))), d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, F))))), G)))), H)))), I))), J)), K))), F))))), G)))), I))), F))))), G)))))), I)))), O)))), I)))))), I))))), P)))), O)))), I)))))), I))))), P))), Q))))), O)))), I)))))), I))))), P))), F))))), G)))), I)))), O)))), I)))))), I))))), P)))))), I))), J)), K))))), O)))), I)))))), I))))), P))), F))))), G)))), I)))), d(D, E))))), I)))), I)))), O)))), I)))))), I))))), P))), Q)-[D=d(2, d(1, 1)), L=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), N=d(2, d(1, K)), A=d(2, d(B, T)), U=d(3, d(A, V)), S=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, T))))), I))), K=d(d(2, 1), 1), I=d(D, K), H=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, J)))), O)))), I)))))), I))))), P))), F))))), G)))), I)))), O)))), I)))))), I))))), P)), O=d(D, d(d(2, d(1, W)), V)), V=d(B, I), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), O)))), I)), M=d(d(2, d(1, d(2, K))), I), T=d(d(2, d(1, d(2, d(d(2, d(1, N)), O)))), I), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), O)))), I)))))), I))))), P), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, J)), F))))), G)))), I)))), O)))), I)))))), I))))), P), W=d(d(2, d(B, d(d(2, d(1, d(2, V))), K))), K), Q=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(D, X))))), I))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), I)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), I))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(R, O)))), I)))))), I)))))), O)))), I))), K)))))]).
mm_proof(simp2r2, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, O)))), d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, L)))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), F))))), G)))), J))), F))))), G)))))), J)))), I)))), J)))))), J))))), K)))), I)))), J)))))), J))))), K))), Q))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), Q)-[D=d(2, d(1, 1)), N=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), P=d(2, d(1, M)), A=d(2, d(B, T)), U=d(3, d(A, V)), S=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, T))))), J))), M=d(d(2, 1), 1), J=d(D, M), H=d(D, E), I=d(D, d(d(2, d(1, W)), V)), V=d(B, J), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), I)))), J)), O=d(d(2, d(1, d(2, M))), J), T=d(d(2, d(1, d(2, d(d(2, d(1, P)), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), F))))), G)))), J)))), I)))), J)))))), J))))), K), W=d(d(2, d(B, d(d(2, d(1, d(2, V))), M))), M), Q=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(D, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), M)))))]).
mm_proof(simp2r3, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, F))))), G)))), J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), O))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), O)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), N=d(2, d(1, M)), A=d(2, d(B, R)), S=d(3, d(A, T)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), J))), M=d(d(2, 1), 1), J=d(D, M), H=d(D, E), I=d(D, d(d(2, d(1, U)), T)), T=d(B, J), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), I)))), J)), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), I)))), J), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), F))))), G)))), J)))), I)))), J)))))), J))))), K), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), M))), M), O=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(D, V))))), J))), d(d(2, d(1, Q)), d(V, d(d(3, d(3, d(1, W))), W))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, I)))), J)))))), J)))))), I)))), J))), M)))))]).
mm_proof(simp3l1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, J))))), K)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), M)))))), G)))), G)))), H)))), G)))))), G))))), I))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)))))), G)))), G)))), H)))), G)))))), G))))), I))), M)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Q)), J))))), K)))), G)))), L=d(2, d(1, N)), A=d(2, d(B, R)), S=d(3, d(A, T)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), G))), N=d(d(2, 1), 1), G=d(D, N), F=d(D, Q), H=d(D, d(d(2, d(1, U)), T)), T=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), R=d(d(2, d(1, d(2, d(d(2, d(1, L)), H)))), G), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), N))), N), M=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, V))))), G))), d(d(2, d(1, P)), d(V, d(d(3, d(3, d(1, W))), W))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp3l2, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, J))))), K)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), N)))))), G)))), G)))), H)))), G)))))), G))))), I))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), N)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), J))))), K)))), G)))), L=d(2, d(1, O)), A=d(2, d(B, R)), S=d(3, d(A, T)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), G))), O=d(d(2, 1), 1), G=d(D, O), M=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, U)), T)), T=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), G)))), H)))), G)), R=d(d(2, d(1, d(2, d(d(2, d(1, L)), H)))), G), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), O))), O), N=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(D, V))))), G))), d(d(2, d(1, Q)), d(V, d(d(3, d(3, d(1, W))), W))))))), G)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), O))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, H)))), G)))))), G)))))), H)))), G))), O)))))]).
mm_proof(simp3l3, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, J))))), K)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), M)))))), G)))), G)))), H)))), G)))))), G))))), I))))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), M)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), J))))), K)))), G)))), L=d(2, d(1, N)), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), K=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, L)), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), M=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp3r1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I))), J)), K))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, I))))), d(1, M)))), d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, F))))), G)))), H)))), I))), J)), K))), F))))), G)))), I))), F))))), G)))))), I)))), O)))), I)))))), I))))), P)))), O)))), I)))))), I))))), P))), Q))))), O)))), I)))))), I))))), P))), F))))), G)))), I)))), O)))), I)))))), I))))), P)))))), I))), J)), K))))), O)))), I)))))), I))))), P))), F))))), G)))), I)))), O)))), I)))))), I))))), P))), F))))), G)))), I)))), d(D, E))))), I)))), I)))), O)))), I)))))), I))))), P))), Q)-[D=d(2, d(1, 1)), L=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), N=d(2, d(1, K)), A=d(2, d(B, T)), U=d(3, d(A, V)), S=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, T))))), I))), K=d(d(2, 1), 1), I=d(D, K), H=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, J)))), O)))), I)))))), I))))), P))), F))))), G)))), I)))), O)))), I)))))), I))))), P)), O=d(D, d(d(2, d(1, W)), V)), V=d(B, I), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), O)))), I)), M=d(d(2, d(1, d(2, K))), I), T=d(d(2, d(1, d(2, d(d(2, d(1, N)), O)))), I), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), O)))), I)))))), I))))), P), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, J)), F))))), G)))), I)))), O)))), I)))))), I))))), P), W=d(d(2, d(B, d(d(2, d(1, d(2, V))), K))), K), Q=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(D, X))))), I))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), I)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), I))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(R, O)))), I)))))), I)))))), O)))), I))), K)))))]).
mm_proof(simp3r2, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, J))))), d(1, O)))), d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, L)))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), F))))), G)))), J))), F))))), G)))))), J)))), I)))), J)))))), J))))), K)))), I)))), J)))))), J))))), K))), Q))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), Q)-[D=d(2, d(1, 1)), N=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), P=d(2, d(1, M)), A=d(2, d(B, T)), U=d(3, d(A, V)), S=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, T))))), J))), M=d(d(2, 1), 1), J=d(D, M), H=d(D, E), I=d(D, d(d(2, d(1, W)), V)), V=d(B, J), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), I)))), J)), O=d(d(2, d(1, d(2, M))), J), T=d(d(2, d(1, d(2, d(d(2, d(1, P)), I)))), J), X=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), F))))), G)))), J)))), I)))), J)))))), J))))), K), W=d(d(2, d(B, d(d(2, d(1, d(2, V))), M))), M), Q=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(X, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(D, X))))), J))), d(d(2, d(1, S)), d(X, d(d(3, d(3, d(1, Y))), Y))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(W, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(R, I)))), J)))))), J)))))), I)))), J))), M)))))]).
mm_proof(simp3r3, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))), F))))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, F))))), G)))), J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), O))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K)))))), J))), L)), M))))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), I)))), J)))))), J))))), K))), F))))), G)))), J)))), H)))), J)))), J)))), I)))), J)))))), J))))), K))), O)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), N=d(2, d(1, M)), A=d(2, d(B, R)), S=d(3, d(A, T)), Q=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, R))))), J))), M=d(d(2, 1), 1), J=d(D, M), H=d(D, E), I=d(D, d(d(2, d(1, U)), T)), T=d(B, J), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), J)))), I)))), J)), R=d(d(2, d(1, d(2, d(d(2, d(1, N)), I)))), J), V=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), J)))))), J))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), F))))), G)))), J)))), I)))), J)))))), J))))), K), U=d(d(2, d(B, d(d(2, d(1, d(2, T))), M))), M), O=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(V, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(D, V))))), J))), d(d(2, d(1, Q)), d(V, d(d(3, d(3, d(1, W))), W))))))), J)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(U, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), J))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, I)))), J)))))), J)))))), I)))), J))), M)))))]).
mm_proof(simp12l, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K)), I))))), J)))), G)))), F)))), G)))))), G))))), H)))))), G)))), G)))), F)))), G)))))), G))))), H))), L))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, K), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simp12r, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), d(D, L))))), G)))), G)))), F)))), G)))))), G))))), H))), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simp13l, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, K)), I))))), J)))), G)))), F)))), G)))))), G))))), H)))))), G)))), G)))), F)))), G)))))), G))))), H))), L))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, K), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simp13r, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), d(D, L))))), G)))), G)))), F)))), G)))))), G))))), H))), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, L)), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simp22l, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), K)))), G)))), G)))), F)))), G)))))), G))))), H))), L))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), K)))), G)))), G)))), F)))), G)))))), G))))), H))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), K=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simp22r, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(D, L), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), G), S=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), K=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, S))))), G))), d(d(2, d(1, N)), d(S, d(d(3, d(3, d(1, T))), T))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, F)))), G)))))), G)))))), F)))), G))), L)))))]).
mm_proof(simp23l, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), K)))), G)))), G)))), F)))), G)))))), G))))), H))), L))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), K)))), G)))), G)))), F)))), G)))))), G))))), H))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), K=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simp23r, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(D, L), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), G), S=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), K=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, S))))), G))), d(d(2, d(1, N)), d(S, d(d(3, d(3, d(1, T))), T))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, F)))), G)))))), G)))))), F)))), G))), L)))))]).
mm_proof(simp32l, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), K)))), G)))), G)))), F)))), G)))))), G))))), H))), L))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), K)))), G)))), G)))), F)))), G)))))), G))))), H))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), K=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simp32r, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(D, L), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), G), S=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), K=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, S))))), G))), d(d(2, d(1, N)), d(S, d(d(3, d(3, d(1, T))), T))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, F)))), G)))))), G)))))), F)))), G))), L)))))]).
mm_proof(simp33l, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, E)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), K)))), G)))), G)))), F)))), G)))))), G))))), H))), L))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), K)))), G)))), G)))), F)))), G)))))), G))))), H))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), K=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, S)), R)), R=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), F)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, F)))), G)))))), G)))))), F)))), G))), M)))))]).
mm_proof(simp33r, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K))))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), E)))), G)))), G)))), F)))), G)))))), G))))), H))), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, L))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), A=d(2, d(B, O)), P=d(3, d(A, Q)), N=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, O))))), G))), L=d(d(2, 1), 1), G=d(D, L), E=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), F)))), G)))))), G))))), H))), I))))), J)))), G)))), F)))), G)))))), G))))), H)), F=d(D, d(d(2, d(1, R)), Q)), Q=d(B, G), J=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), G)))), F)))), G)), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F)))), G), S=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(B, d(d(2, d(1, d(2, Q))), L))), L), K=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(S, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(D, S))))), G))), d(d(2, d(1, N)), d(S, d(d(3, d(3, d(1, T))), T))))))), G)), L), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(R, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F)))), G))), L))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(M, F)))), G)))))), G)))))), F)))), G))), L)))))]).
mm_proof(simp113, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), d(D, E))))), H)))), H)))), I)))), H)))))), H))))), J))), K))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), L)))), H)))), H)))), I)))), H)))))), H))))), J))), K))))), I)))), H)))))), H))))), J))), F))))), G)))), H)))), L)))), H)))), H)))), I)))), H)))))), H))))), J))), K)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), L=d(D, S), I=d(D, d(d(2, d(1, T)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), I)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), I)))), H), U=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), I)))), H)))))), H))))), J), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, S)), F))))), G)))), H)))), I)))), H)))))), H))))), J), T=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), K=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, U))))), H))), d(d(2, d(1, O)), d(U, d(d(3, d(3, d(1, V))), V))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, I)))), H)))))), H)))))), I)))), H))), M)))))]).
mm_proof(simp121, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, P), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), M))), M), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, U))))), G))), d(d(2, d(1, O)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp122, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, M))))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp123, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), d(D, M))))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), H))), N=d(d(2, 1), 1), H=d(D, N), I=d(D, E), J=d(D, d(d(2, d(1, T)), S)), S=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), J)))), H)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), J)))), H), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), F))))), G)))), H)))), J)))), H)))))), H))))), K), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), H))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, J)))), H)))))), H)))))), J)))), H))), N)))))]).
mm_proof(simp131, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, P), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), M))), M), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, U))))), G))), d(d(2, d(1, O)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp132, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, M))))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp133, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), d(D, M))))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), H))), N=d(d(2, 1), 1), H=d(D, N), I=d(D, E), J=d(D, d(d(2, d(1, T)), S)), S=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), J)))), H)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), J)))), H), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), F))))), G)))), H)))), J)))), H)))))), H))))), K), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), H))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, J)))), H)))))), H)))))), J)))), H))), N)))))]).
mm_proof(simp211, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)))))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, P), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), M))), M), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, U))))), G))), d(d(2, d(1, O)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp212, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, M))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp213, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), d(D, M))))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), H))), N=d(d(2, 1), 1), H=d(D, N), I=d(D, E), J=d(D, d(d(2, d(1, T)), S)), S=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), J)))), H)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), J)))), H), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), F))))), G)))), H)))), J)))), H)))))), H))))), K), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), H))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, J)))), H)))))), H)))))), J)))), H))), N)))))]).
mm_proof(simp221, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), M=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp222, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, S)), R)), R=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp223, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, E), J=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), J)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, J)))), H)))))), H)))))), J)))), H))), M)))))]).
mm_proof(simp231, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), M=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp232, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, S)), R)), R=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp233, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, E), J=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), J)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, J)))), H)))))), H)))))), J)))), H))), M)))))]).
mm_proof(simp311, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)))))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, P), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), M))), M), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, U))))), G))), d(d(2, d(1, O)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp312, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), d(D, M))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp313, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), d(D, M))))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), H))), N=d(d(2, 1), 1), H=d(D, N), I=d(D, E), J=d(D, d(d(2, d(1, T)), S)), S=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), H)))), J)))), H)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), J)))), H), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M)), F))))), G)))), H)))), J)))), H)))))), H))))), K), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), L=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), H))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), H)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, J)))), H)))))), H)))))), J)))), H))), N)))))]).
mm_proof(simp321, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), M=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp322, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, S)), R)), R=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp323, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, E), J=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), J)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, J)))), H)))))), H)))))), J)))), H))), M)))))]).
mm_proof(simp331, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(D, F))))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), M)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F)), K))))), L)))), G)))), A=d(2, d(B, Q)), R=d(3, d(A, S)), P=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), G))), N=d(d(2, 1), 1), G=d(D, N), M=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, T)), S)), S=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), G)))), H)))), G)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), H)))), G), U=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I), T=d(d(2, d(B, d(d(2, d(1, d(2, S))), N))), N), J=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(U, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(D, U))))), G))), d(d(2, d(1, P)), d(U, d(d(3, d(3, d(1, V))), V))))))), G)), N), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(T, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), N))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(O, H)))), G)))))), G)))))), H)))), G))), N)))))]).
mm_proof(simp332, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J))))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), F)))), G)))), G)))), H)))), G)))))), G))))), I))), J)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), H)))), G)))))), G))))), I))), K))))), L)))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), G))), M=d(d(2, 1), 1), G=d(D, M), F=d(D, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E, H)))), G)))))), G))))), I)), H=d(D, d(d(2, d(1, S)), R)), R=d(B, G), L=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), G)))), H)))), G)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), H)))), G), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), J=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), G))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), G)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), G))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, H)))), G)))))), G)))))), H)))), G))), M)))))]).
mm_proof(simp333, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, E)), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L))))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), I)))), H)))), H)))), J)))), H)))))), H))))), K))), L)-[D=d(2, d(1, 1)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), A=d(2, d(B, P)), Q=d(3, d(A, R)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P))))), H))), M=d(d(2, 1), 1), H=d(D, M), I=d(D, E), J=d(D, d(d(2, d(1, S)), R)), R=d(B, H), G=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), H)))), J)))), H)), P=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), J)))), H), T=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), J)))), H)))))), H))))), K))), F))))), G)))), H)))), J)))), H)))))), H))))), K), S=d(d(2, d(B, d(d(2, d(1, d(2, R))), M))), M), L=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(T, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(D, T))))), H))), d(d(2, d(1, O)), d(T, d(d(3, d(3, d(1, U))), U))))))), H)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), H))), M))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, J)))), H)))))), H)))))), J)))), H))), M)))))]).
mm_proof('3anibar', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(E, d(d(d(d(2, d(1, 2)), 1), G), F))))), d(C, d(G, D)))))-[H=d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M)))), L)))))), L))))), N)), O=d(2, d(1, 1)), P=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, Q))))), R=d(2, d(1, d(2, B))), S=d(2, d(1, Q)), T=d(2, d(P, d(d(2, d(1, d(2, d(1, d(P, L))))), d(1, U)))), I=d(2, d(J, V)), W=d(3, d(I, X)), Y=d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, V))))), L))), E=d(d(d(2, d(1, 2)), 1), C), Q=d(d(2, 1), 1), Z=d(O, 1), L=d(O, Q), M=d(O, d(d(2, d(1, A1)), X)), X=d(J, L), B1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), M)))), L)), B=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1), U=d(d(2, d(1, d(2, Q))), L), V=d(d(2, d(1, d(2, d(d(2, d(1, S)), M)))), L), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, D1))))), B1)))), L), C=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, Y)), d(C, d(d(3, d(3, d(1, F1))), F1))), G1=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), M)))), L)))))), L))))), N), H1=d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, H), D1))))), B1)))), L)))), M)))), L)))))), L))))), N), A1=d(d(2, d(J, d(d(2, d(1, d(2, X))), Q))), Q), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(O, C))))), L))), E1)))), L)), Q), N=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D1=d(C, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(C, d(G, I1)), F=d(C, I1), F1=d(A1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), Q))), d(3, d(I, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(R, M)))), L)))))), L)))))), M)))), L))), Q))))), I1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(O, d(P, d(2, d(1, E1)))))))), L))), d(P, d(2, d(1, C))))))), L)), Q)), d(d(2, d(P, d(d(2, d(1, d(2, d(1, B)))), d(T, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Z)))), L)))))), d(T, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), Z)))), L))))), J1=d(F, d(1, d(d(B, G1), G1))), D=d(F, d(d(2, d(1, d(C, d(d(B, G), G)))), d(d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(C, J1))), d(C, K1))), d(d(2, d(1, d(C, d(G, K1)))), d(C, d(G, J1))))))), d(d(2, d(1, d(d(2, d(1, d(3, d(I, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H1)), D1))))), B1)))), L)))), d(O, H1))))), L)))), L)))), M)))), L)))))), L))))), N))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K1=d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(O, H))))), L))), C1)))), L)), Q))]).
mm_proof('3mix1', d(d(2, d(1, d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(A, d(B, D)))))))), E)-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, C))), O=d(2, d(1, E)), P=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Q=d(2, d(1, R)), S=d(2, d(G, d(F, d(1, d(O, K))))), J=d(2, d(H, T)), U=d(3, d(J, M)), V=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, T))))), W))), K=d(d(2, 1), 1), W=d(F, K), X=d(F, d(d(2, d(1, Y)), M)), M=d(H, W), C=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), W)))), X)))), W))), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), X)))), W), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(P, 1), E=d(P, d(L, W)), Y=d(d(2, d(H, d(L, K))), K), A1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, Z)))), d(H, d(I, d(d(2, d(1, O)), B1))))))), K), C1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, d(Q, d(O, E)))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(H, d(L, d(S, d(H, d(I, d(d(2, d(1, d(2, d(1, d(Q, d(O, Z)))))), B1))))))), K))))), B1))))))), K), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, A))))), W))), d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, D1))), D1))))))), W)), K), B1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(A, d(B, F1)), R=d(A, F1), D1=d(Y, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), W))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(N, X)))), W)))))), W)))))), X)))), W))), K))))), D=d(d(C, d(d(2, d(1, d(A, G1))), R)), d(d(2, d(1, E1)), d(A, d(B, G1)))), G1=d(d(C, d(d(2, d(1, d(A, H1))), d(A, I1))), d(d(2, d(1, d(A, d(B, I1)))), d(A, d(B, H1)))), H1=d(d(C, d(d(2, d(H, d(L, d(S, d(H, d(I, d(d(2, d(1, d(2, d(1, d(Q, d(O, R)))))), B1))))))), K)), d(d(2, d(H, d(L, d(S, d(H, d(I, d(d(2, d(1, d(2, d(1, d(Q, d(O, E1)))))), B1))))))), K)), F1=d(d(C, A1), A1), I1=d(d(C, C1), C1)]).
mm_proof('3mix2', d(d(2, d(1, d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(F, d(A, d(B, D)))))))), d(F, G))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, C))), Q=d(2, d(1, G)), R=d(2, d(1, d(A, S))), T=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F=d(2, d(1, d(A, d(B, E)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(I, d(H, d(1, d(Q, M))))), L=d(2, d(J, Z)), A1=d(3, d(L, O)), B1=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Z))))), C1))), M=d(d(2, 1), 1), C1=d(H, M), D1=d(H, d(d(2, d(1, E1)), O)), O=d(J, C1), C=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), C1)))), D1)))), C1))), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), D1)))), C1), A=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(T, 1), G=d(T, d(N, C1)), E1=d(d(2, d(J, d(N, M))), M), G1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, F1)))), d(J, d(K, d(d(2, d(1, Q)), H1))))))), M), I1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(W, d(Q, G)))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, F1)))))), H1))))))), M))))), H1))))))), M), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, A))))), C1))), d(d(2, d(1, B1)), d(A, d(d(3, d(3, d(1, J1))), J1))))))), C1)), M), H1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(A, d(B, K1)), X=d(A, K1), J1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), C1))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(P, D1)))), C1)))))), C1)))))), D1)))), C1))), M))))), S=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(d(C, d(R, X)), d(U, d(A, d(B, S)))), E=d(d(C, d(d(2, d(1, d(A, L1))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(R, d(A, d(B, L1)))), L1=d(d(C, d(d(2, d(1, d(A, M1))), X)), d(U, d(A, d(B, M1)))), M1=d(d(C, d(d(2, d(1, d(A, N1))), d(A, O1))), d(d(2, d(1, d(A, d(B, O1)))), d(A, d(B, N1)))), N1=d(d(C, d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, X)))))), H1))))))), M)), d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, V)))))), H1))))))), M)), K1=d(d(C, G1), G1), O1=d(d(C, I1), I1)]).
mm_proof('3mix3', d(d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(E, d(A, d(F, C))))))), d(E, G))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, B))), Q=d(2, d(1, G)), R=d(2, d(1, d(A, S))), T=d(2, d(1, d(A, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(1, d(A, d(F, D)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(I, d(H, d(1, d(Q, M))))), L=d(2, d(J, Z)), A1=d(3, d(L, O)), B1=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Z))))), C1))), M=d(d(2, 1), 1), C1=d(H, M), D1=d(H, d(d(2, d(1, E1)), O)), O=d(J, C1), B=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), C1)))), D1)))), C1))), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), D1)))), C1), A=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(T, 1), G=d(T, d(N, C1)), E1=d(d(2, d(J, d(N, M))), M), G1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, F1)))), d(J, d(K, d(d(2, d(1, Q)), H1))))))), M), I1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(W, d(Q, G)))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, F1)))))), H1))))))), M))))), H1))))))), M), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, A))))), C1))), d(d(2, d(1, B1)), d(A, d(d(3, d(3, d(1, J1))), J1))))))), C1)), M), H1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(A, d(F, K1)), X=d(A, K1), J1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), C1))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(P, D1)))), C1)))))), C1)))))), D1)))), C1))), M))))), S=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(d(B, d(R, X)), d(U, d(A, d(F, S)))), D=d(d(B, d(d(2, d(1, d(A, L1))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(R, d(A, d(F, L1)))), L1=d(d(B, d(d(2, d(1, d(A, M1))), X)), d(U, d(A, d(F, M1)))), M1=d(d(B, d(d(2, d(1, d(A, N1))), d(A, O1))), d(d(2, d(1, d(A, d(F, O1)))), d(A, d(F, N1)))), N1=d(d(B, d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, X)))))), H1))))))), M)), d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, V)))))), H1))))))), M)), K1=d(d(B, G1), G1), O1=d(d(B, I1), I1)]).
mm_proof('3mix1d', d(2, d(1, d(d(2, d(1, d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(A, d(B, D)))))))), E)))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, C))), O=d(2, d(1, E)), P=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Q=d(2, d(1, R)), S=d(2, d(G, d(F, d(1, d(O, K))))), J=d(2, d(H, T)), U=d(3, d(J, M)), V=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, T))))), W))), K=d(d(2, 1), 1), W=d(F, K), X=d(F, d(d(2, d(1, Y)), M)), M=d(H, W), C=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), W)))), X)))), W))), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), X)))), W), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(P, 1), E=d(P, d(L, W)), Y=d(d(2, d(H, d(L, K))), K), A1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, Z)))), d(H, d(I, d(d(2, d(1, O)), B1))))))), K), C1=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(1, d(Q, d(O, E)))))), d(H, d(I, d(d(2, d(1, d(2, d(1, d(d(2, d(H, d(L, d(S, d(H, d(I, d(d(2, d(1, d(2, d(1, d(Q, d(O, Z)))))), B1))))))), K))))), B1))))))), K), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(F, A))))), W))), d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, D1))), D1))))))), W)), K), B1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(A, d(B, F1)), R=d(A, F1), D1=d(Y, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), W))), K))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(N, X)))), W)))))), W)))))), X)))), W))), K))))), D=d(d(C, d(d(2, d(1, d(A, G1))), R)), d(d(2, d(1, E1)), d(A, d(B, G1)))), G1=d(d(C, d(d(2, d(1, d(A, H1))), d(A, I1))), d(d(2, d(1, d(A, d(B, I1)))), d(A, d(B, H1)))), H1=d(d(C, d(d(2, d(H, d(L, d(S, d(H, d(I, d(d(2, d(1, d(2, d(1, d(Q, d(O, R)))))), B1))))))), K)), d(d(2, d(H, d(L, d(S, d(H, d(I, d(d(2, d(1, d(2, d(1, d(Q, d(O, E1)))))), B1))))))), K)), F1=d(d(C, A1), A1), I1=d(d(C, C1), C1)]).
mm_proof('3mix2d', d(2, d(1, d(d(2, d(1, d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(F, d(A, d(B, D)))))))), d(F, G))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, C))), Q=d(2, d(1, G)), R=d(2, d(1, d(A, S))), T=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F=d(2, d(1, d(A, d(B, E)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(I, d(H, d(1, d(Q, M))))), L=d(2, d(J, Z)), A1=d(3, d(L, O)), B1=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Z))))), C1))), M=d(d(2, 1), 1), C1=d(H, M), D1=d(H, d(d(2, d(1, E1)), O)), O=d(J, C1), C=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), C1)))), D1)))), C1))), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), D1)))), C1), A=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(T, 1), G=d(T, d(N, C1)), E1=d(d(2, d(J, d(N, M))), M), G1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, F1)))), d(J, d(K, d(d(2, d(1, Q)), H1))))))), M), I1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(W, d(Q, G)))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, F1)))))), H1))))))), M))))), H1))))))), M), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, A))))), C1))), d(d(2, d(1, B1)), d(A, d(d(3, d(3, d(1, J1))), J1))))))), C1)), M), H1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(A, d(B, K1)), X=d(A, K1), J1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), C1))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(P, D1)))), C1)))))), C1)))))), D1)))), C1))), M))))), S=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(d(C, d(R, X)), d(U, d(A, d(B, S)))), E=d(d(C, d(d(2, d(1, d(A, L1))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(R, d(A, d(B, L1)))), L1=d(d(C, d(d(2, d(1, d(A, M1))), X)), d(U, d(A, d(B, M1)))), M1=d(d(C, d(d(2, d(1, d(A, N1))), d(A, O1))), d(d(2, d(1, d(A, d(B, O1)))), d(A, d(B, N1)))), N1=d(d(C, d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, X)))))), H1))))))), M)), d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, V)))))), H1))))))), M)), K1=d(d(C, G1), G1), O1=d(d(C, I1), I1)]).
mm_proof('3mix3d', d(2, d(1, d(d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(E, d(A, d(F, C))))))), d(E, G))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, B))), Q=d(2, d(1, G)), R=d(2, d(1, d(A, S))), T=d(2, d(1, d(A, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), E=d(2, d(1, d(A, d(F, D)))), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(I, d(H, d(1, d(Q, M))))), L=d(2, d(J, Z)), A1=d(3, d(L, O)), B1=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Z))))), C1))), M=d(d(2, 1), 1), C1=d(H, M), D1=d(H, d(d(2, d(1, E1)), O)), O=d(J, C1), B=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), C1)))), D1)))), C1))), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), D1)))), C1), A=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(T, 1), G=d(T, d(N, C1)), E1=d(d(2, d(J, d(N, M))), M), G1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, F1)))), d(J, d(K, d(d(2, d(1, Q)), H1))))))), M), I1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(W, d(Q, G)))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, F1)))))), H1))))))), M))))), H1))))))), M), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, A))))), C1))), d(d(2, d(1, B1)), d(A, d(d(3, d(3, d(1, J1))), J1))))))), C1)), M), H1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(A, d(F, K1)), X=d(A, K1), J1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), C1))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(P, D1)))), C1)))))), C1)))))), D1)))), C1))), M))))), S=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(d(B, d(R, X)), d(U, d(A, d(F, S)))), D=d(d(B, d(d(2, d(1, d(A, L1))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(R, d(A, d(F, L1)))), L1=d(d(B, d(d(2, d(1, d(A, M1))), X)), d(U, d(A, d(F, M1)))), M1=d(d(B, d(d(2, d(1, d(A, N1))), d(A, O1))), d(d(2, d(1, d(A, d(F, O1)))), d(A, d(F, N1)))), N1=d(d(B, d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, X)))))), H1))))))), M)), d(d(2, d(J, d(N, d(Y, d(J, d(K, d(d(2, d(1, d(2, d(1, d(W, d(Q, V)))))), H1))))))), M)), K1=d(d(B, G1), G1), O1=d(d(B, I1), I1)]).
mm_proof('pm3.2an3', d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(A, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D))))), E))), D))))), E)-[F=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(I, J))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), A=d(2, d(1, J)), I=d(2, d(G, M)), N=d(3, d(I, O)), L=d(3, d(I, d(d(2, d(1, d(2, d(G, d(H, M))))), P))), J=d(d(2, 1), 1), P=d(F, J), Q=d(F, d(d(2, d(1, R)), O)), O=d(G, P), E=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), P)))), Q)))), P)), M=d(d(2, d(1, d(2, d(d(2, d(1, A)), Q)))), P), B=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(G, d(d(2, d(1, d(2, O))), J))), J), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), P))), d(d(2, d(1, L)), d(B, d(d(3, d(3, d(1, S))), S))))))), P)), J), D=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(R, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), J))), d(3, d(I, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(K, Q)))), P)))))), P)))))), Q)))), P))), J)))))]).
mm_proof(mpbir3an, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, B))))), d(C, d(D, d(d(2, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, d(C, J))))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(K, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), d(C, d(D, J)))))))-[L=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, P)), O=d(2, d(M, T)), U=d(3, d(O, V)), W=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, T))))), X))), G=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 2)), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), R)), C=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), A=d(d(d(2, d(1, 2)), 1), K), P=d(d(2, 1), 1), X=d(L, P), Y=d(L, d(d(2, d(1, Z)), V)), V=d(M, X), A1=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), X)))), Y)))), X)), B1=d(d(2, d(1, d(2, d(1, d(S, d(K, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), A1), R=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), T=d(d(2, d(1, d(2, d(d(2, d(1, S)), Y)))), X), C1=d(d(2, d(1, d(2, B1))), X), K=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Y)))), X)))))), X))))), E1), Z=d(d(2, d(M, d(d(2, d(1, d(2, V))), P))), P), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, K))))), X))), d(d(2, d(1, W)), d(K, d(d(3, d(3, d(1, F1))), F1))))))), X)), P), G1=d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(1, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), Y)))), X)))))), X))))), E1))))))), X))), C1)))), X)), P))), B1), J=d(D, d(d(2, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(K, H1))))), d(C, G1))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, d(C, d(D, G1)))))), d(K, d(B, H1))))), E1=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F1=d(Z, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), X))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, Y)))), X)))))), X)))))), Y)))), X))), P))))), H1=d(B, d(d(R, D1), D1))]).
mm_proof(mpbir3and, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, C))), d(2, d(1, d(C, d(d(D, E), E))))))))), F))))), F)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, I))), J)))))), J)))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), O=d(2, d(1, d(2, D))), P=d(2, d(1, J)), N=d(2, d(L, Q)), R=d(3, d(N, S)), T=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, Q))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), A), I=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), U))))), K))))), F)))), J=d(d(2, 1), 1), F=d(K, J), V=d(K, d(d(2, d(1, W)), S)), S=d(L, F), U=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), F)))), V)))), F)), D=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), V)))), F), C=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(L, d(d(2, d(1, d(2, S))), J))), J), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, C))))), F))), d(d(2, d(1, T)), d(C, d(d(3, d(3, d(1, X))), X))))))), F)), J), X=d(W, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), F))), J))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(O, V)))), F)))))), F)))))), V)))), F))), J)))))]).
mm_proof(syl3anbrc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), D))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, G))), H)))))), H)))-[I=d(2, d(1, 1)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, H))))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), P=d(2, d(1, H)), L=d(2, d(J, Q)), R=d(3, d(L, S)), N=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Q))))), T))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), A), G=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(C, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), O))))), I))))), T)))), H=d(d(2, 1), 1), T=d(I, H), U=d(I, d(d(2, d(1, V)), S)), S=d(J, T), O=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), T)))), U)))), T)), Q=d(d(2, d(1, d(2, d(d(2, d(1, P)), U)))), T), C=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(J, d(d(2, d(1, d(2, S))), H))), H), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(I, C))))), T))), d(d(2, d(1, N)), d(C, d(d(3, d(3, d(1, W))), W))))))), T)), H), W=d(V, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), T))), H))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, U)))), T)))))), T)))))), U)))), T))), H)))))]).
mm_proof('3imp3i2an', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(D, K))))), d(E, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), L)))), K)))))), K))))), M))))))), K))))), K))))), L))))), K))))))), K)))))), M)))), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), K))))))))), O)-[E=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), H=d(2, d(I, S)), T=d(3, d(H, U)), Q=d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, S))))), K))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), F), D=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, 1)), d(N, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(E, N))))), K))), d(d(2, d(1, Q)), d(N, d(d(3, d(3, d(1, V))), V))))))), K)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), R))))), O=d(d(2, 1), 1), K=d(E, O), L=d(E, d(d(2, d(1, W)), U)), U=d(I, K), R=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), K)))), L)))), K)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), L)))), K), N=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(I, d(d(2, d(1, d(2, U))), O))), O), M=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(W, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), O))), d(3, d(H, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(P, L)))), K)))))), K)))))), L)))), K))), O)))))]).
mm_proof(ex3, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(C, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, C))))), F))), d(d(2, d(1, G)), d(C, d(d(3, d(3, d(1, H))), H))))))), F)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J)))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[E=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), M=d(2, d(K, N)), O=d(3, d(M, P)), G=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, N))))), F))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), I=d(d(2, 1), 1), F=d(E, I), Q=d(E, d(d(2, d(1, R)), P)), P=d(K, F), J=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), F)))), Q)))), F)), N=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Q)))), F), C=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(K, d(d(2, d(1, d(2, P))), I))), I), H=d(R, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), F))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(D, Q)))), F)))))), F)))))), Q)))), F))), I)))))]).
mm_proof(exp5o, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, 2))), D)))), G)))))), H))))))), D)))), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), G)))))), H)))), G)))))), H)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), M=d(2, d(K, Q)), R=d(3, d(M, S)), P=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, Q))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), D=d(F, N), T=d(F, d(d(2, d(1, U)), S)), S=d(K, D), H=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), T)))), D)), E=d(d(2, d(1, d(2, N))), D), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), T)))), D), I=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(K, d(d(2, d(1, d(2, S))), N))), N), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, I))))), D))), d(d(2, d(1, P)), d(I, d(d(3, d(3, d(1, V))), V))))))), D)), N), G=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), D))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, T)))), D)))))), D)))))), T)))), D))), N)))))]).
mm_proof(exp516, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, 1)), F)))))), G)))), F)))))), G))))), H)))), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), F)))))), G)))), F)))))), G))))))), H))))))), H)))))))), H))))))), H)))))))), H))))))), H))-[K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), S=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, H))))), d(1, T)))), O=d(2, d(M, U)), V=d(3, d(O, W)), R=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, U))))), H))), C=d(d(d(2, d(1, 2)), 1), 1), B=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), K), A=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(S, H)))))), D=d(d(d(2, d(1, 2)), 1), S), P=d(d(2, 1), 1), H=d(K, P), X=d(K, d(d(2, d(1, Y)), W)), W=d(M, H), G=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), X)))), H)), T=d(d(2, d(1, d(2, P))), H), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), X)))), H), I=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(M, d(d(2, d(1, d(2, W))), P))), P), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, I))))), H))), d(d(2, d(1, R)), d(I, d(d(3, d(3, d(1, Z))), Z))))))), H)), P), F=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), H))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, X)))), H)))))), H)))))), X)))), H))), P)))))]).
mm_proof(exp520, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(C, d(d(2, d(1, d(2, d(1, d(C, D))))), d(1, E))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), D)))), G)))))), H))))))), D)))), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), G)))))), H)))), G)))))), H)-[F=d(2, d(1, 1)), C=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, N))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), M=d(2, d(K, Q)), R=d(3, d(M, S)), P=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, Q))))), D))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), N=d(d(2, 1), 1), D=d(F, N), T=d(F, d(d(2, d(1, U)), S)), S=d(K, D), H=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), T)))), D)), E=d(d(2, d(1, d(2, N))), D), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, N)))), T)))), D), I=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(K, d(d(2, d(1, d(2, S))), N))), N), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(F, I))))), D))), d(d(2, d(1, P)), d(I, d(d(3, d(3, d(1, V))), V))))))), D)), N), G=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), D))), N))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(O, T)))), D)))))), D)))))), T)))), D))), N)))))]).
mm_proof('3impexp', d(d(A, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(C, d(D, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(C, d(D, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, E), d(F, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H))))), I))), H))))), I)))))), J)))))), J))))))), J)))))), J))))))), J)))))), J))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(1, d(2, N))), J)))))), J))))), O)))), J)))))), J))))), P)))), O)))), J)))))), J))))), P))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J))-[E=d(1, Q), D=d(2, d(1, 1)), R=d(2, d(1, 2)), L=d(2, d(1, 3)), B=d(2, d(1, d(2, d(1, N)))), M=d(2, d(1, d(2, d(1, d(K, S))))), T=d(2, d(1, d(2, A))), C=d(2, d(R, d(d(2, d(1, d(2, d(1, d(R, J))))), E))), K=d(2, d(L, U)), V=d(3, d(K, W)), X=d(3, d(K, d(d(2, d(1, d(2, d(L, d(M, U))))), J))), S=d(d(2, 1), 1), J=d(D, S), O=d(D, d(d(2, d(1, Y)), W)), W=d(L, J), I=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), O)))), J)), A=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I), Q=d(d(2, d(1, d(2, S))), J), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), O)))), J), F=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(C, J), Y=d(d(2, d(L, d(d(2, d(1, d(2, W))), S))), S), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(D, F))))), J))), d(d(2, d(1, X)), d(F, d(d(3, d(3, d(1, Z))), Z))))))), J)), S), P=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(F, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), J))), S))), d(3, d(K, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(T, O)))), J)))))), J)))))), O)))), J))), S)))))]).
mm_proof('3an1rs', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, H))))), d(1, I)))), H)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), J)))))), K)))), d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)))))), K)))), J)))))), K)))))), N))))), H))))))), H)))))), O))))), N))))), H))))))), H)))))), O)))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N))))), H))))))), H)))))), O)-[P=d(2, d(1, 1)), G=d(2, d(1, 2)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(S, T))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), S=d(2, d(Q, W)), X=d(3, d(S, Y)), V=d(3, d(S, d(d(2, d(1, d(2, d(Q, d(R, W))))), H))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), Q), F=d(d(d(2, d(1, 2)), 1), R), D=d(d(d(2, d(1, 2)), 1), S), T=d(d(2, 1), 1), H=d(P, T), N=d(P, d(d(2, d(1, Z)), Y)), Y=d(Q, H), K=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), N)))), H)), I=d(d(2, d(1, d(2, T))), H), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, T)))), N)))), H), L=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(Q, d(d(2, d(1, d(2, Y))), T))), T), M=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(P, L))))), H))), d(d(2, d(1, V)), d(L, d(d(3, d(3, d(1, A1))), A1))))))), H)), T), O=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Z, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), H))), T))), d(3, d(S, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(U, N)))), H)))))), H)))))), N)))), H))), T)))))]).
mm_proof('3anassrs', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(I, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), J)))))), K))))), L)))), d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)))))), K)))), J)))))), K))))))), L))))))), L)))))))), L))))))), L)))))))), L))))))), L)))))), O))))), L))))))), L)))))), P))))), O))))), L))))))), L)))))), P))))), O))))), L))))))), L)))))), P)-[Q=d(2, d(1, 1)), R=d(2, d(1, 2)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(U, V))))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Y=d(2, d(R, d(d(2, d(1, d(2, d(1, d(R, L))))), d(1, Z)))), U=d(2, d(S, A1)), B1=d(3, d(U, C1)), X=d(3, d(U, d(d(2, d(1, d(2, d(S, d(T, A1))))), L))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), I=d(d(d(2, d(1, 2)), 1), Q), E=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(Y, L)))))), F=d(d(d(2, d(1, 2)), 1), T), H=d(d(d(2, d(1, 2)), 1), Y), D=d(d(d(2, d(1, 2)), 1), U), V=d(d(2, 1), 1), L=d(Q, V), O=d(Q, d(d(2, d(1, D1)), C1)), C1=d(S, L), K=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), O)))), L)), Z=d(d(2, d(1, d(2, V))), L), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, V)))), O)))), L), M=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(S, d(d(2, d(1, d(2, C1))), V))), V), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(Q, M))))), L))), d(d(2, d(1, X)), d(M, d(d(3, d(3, d(1, E1))), E1))))))), L)), V), P=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), L))), V))), d(3, d(U, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(W, O)))), L)))))), L)))))), O)))), L))), V)))))]).
mm_proof(ad5ant245, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(d(2, d(1, F)), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L))), d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N)))), L)))))), L))))), O))), J))))), K)))), L)))), R)))), L)))), L)))), N)))), L)))))), L))))), O))), P))), S))), S)))))), F)))), J)))))), K))))), L))))), d(H, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, L)))), R)))), L)))), L)))), N)))), L)))))), L))))), O))), J))))), K)))), M)))), L))), T)), S))))))), L))))), L))))), N))))), L))))))), L)))))), O)-[H=d(2, d(1, 1)), D=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, S))))), G=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, J))))), K)))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), J))))), K)))), L)))), U=d(2, d(1, S)), C=d(2, d(D, X)), Y=d(3, d(C, Z)), W=d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, X))))), L))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), S=d(d(2, 1), 1), L=d(H, S), R=d(H, T), M=d(H, I), N=d(H, d(d(2, d(1, A1)), Z)), Z=d(D, L), K=d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), L)))), N)))), L)), X=d(d(2, d(1, d(2, d(d(2, d(1, U)), N)))), L), B1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), L)))))), L))))), O), I=d(d(2, d(1, d(3, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(Q, N)))), L)))))), L))))), O), A1=d(d(2, d(D, d(d(2, d(1, d(2, Z))), S))), S), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(H, B1))))), L))), d(d(2, d(1, W)), d(B1, d(d(3, d(3, d(1, D1))), D1))))))), L)), S), P=d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J=d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(A1, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), S))), d(3, d(C, d(d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(2, d(V, N)))), L)))))), L)))))), N)))), L))), S)))))]).
mm_proof(ad5ant234, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)))))), K))))), L))))), d(G, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, J))))), K)))), L)))), Q)))), L)))), L)))), R)))), L)))))), L))))), S))), J))))), K)))), Q)))), L))), T)), U))))))), L))))), L))))), R))))), L))))))), L)))))), S)))))), R))))), L))))))), L)))))), S)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), P=d(2, d(1, U)), M=d(2, d(N, X)), Y=d(3, d(M, Z)), W=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, X))))), L))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), U=d(d(2, 1), 1), L=d(G, U), Q=d(G, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), J))))), K)))), L)))), R)))), L)))))), L))))), S)), R=d(G, d(d(2, d(1, A1)), Z)), Z=d(N, L), K=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), L)))), R)))), L)), X=d(d(2, d(1, d(2, d(d(2, d(1, P)), R)))), L), H=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), R)))), L)))))), L))))), S), A1=d(d(2, d(N, d(d(2, d(1, d(2, Z))), U))), U), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(G, H))))), L))), d(d(2, d(1, W)), d(H, d(d(3, d(3, d(1, B1))), B1))))))), L)), U), S=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(A1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), L))), U))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(V, R)))), L)))))), L)))))), R)))), L))), U)))))]).
mm_proof(ad5ant235, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))))), J))))), K))))), d(L, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, I))))), J)))), K)))), Q)))), K)))), K)))), R)))), K)))))), K))))), S))), I))))), J)))), Q)))), K))), T)), U))))))), K))))), K))))), R))))), K))))))), K)))))), S)))), I)))))), J))))), K))))), d(L, T)))))), K))))), K))))), R))))), K))))))), K)))))), S)-[L=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), P=d(2, d(1, U)), M=d(2, d(N, X)), Y=d(3, d(M, Z)), W=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, X))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), U=d(d(2, 1), 1), K=d(L, U), Q=d(L, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), I))))), J)))), K)))), R)))), K)))))), K))))), S)), R=d(L, d(d(2, d(1, A1)), Z)), Z=d(N, K), J=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), K)))), R)))), K)), X=d(d(2, d(1, d(2, d(d(2, d(1, P)), R)))), K), G=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), R)))), K)))))), K))))), S), A1=d(d(2, d(N, d(d(2, d(1, d(2, Z))), U))), U), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(L, G))))), K))), d(d(2, d(1, W)), d(G, d(d(3, d(3, d(1, B1))), B1))))))), K)), U), S=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(A1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), K))), U))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(V, R)))), K)))))), K)))))), R)))), K))), U)))))]).
mm_proof(ad5ant123, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J))))), K))))))), K)))))), L)))), d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M))))), K))))), d(G, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), K)))))), K))))), L))))))), K))))), K))))), J))))), K))))))), K)))))), L)-[G=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(O, T)), U=d(3, d(N, V)), S=d(3, d(N, d(d(2, d(1, d(2, d(O, d(P, T))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), P), D=d(d(d(2, d(1, 2)), 1), N), Q=d(d(2, 1), 1), K=d(G, Q), J=d(G, d(d(2, d(1, W)), V)), V=d(O, K), M=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), K)))), J)))), K)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), J)))), K), H=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(O, d(d(2, d(1, d(2, V))), Q))), Q), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, H))))), K))), d(d(2, d(1, S)), d(H, d(d(3, d(3, d(1, X))), X))))))), K)), Q), L=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(W, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), K))), Q))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, J)))), K)))))), K)))))), J)))), K))), Q)))))]).
mm_proof(ad5ant124, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J))))), K))))), d(G, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), O)))), K)))))), K))))), P))))))), K))))), K))))), O))))), K))))))), K)))))), P)))))), O))))), K))))))), K)))))), P)-[G=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(L, Q))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), L=d(2, d(M, T)), U=d(3, d(L, V)), S=d(3, d(L, d(d(2, d(1, d(2, d(M, d(N, T))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), L), Q=d(d(2, 1), 1), K=d(G, Q), O=d(G, d(d(2, d(1, W)), V)), V=d(M, K), J=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), K)))), O)))), K)), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Q)))), O)))), K), H=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(M, d(d(2, d(1, d(2, V))), Q))), Q), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, H))))), K))), d(d(2, d(1, S)), d(H, d(d(3, d(3, d(1, X))), X))))))), K)), Q), P=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(W, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), K))), Q))), d(3, d(L, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(R, O)))), K)))))), K)))))), O)))), K))), Q)))))]).
mm_proof(ad5ant125, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), K)))))), L)))), K)))))), L))))))), M))))))), M))))), N))))), M))))))), M)))))), O))))), M))))), N))))), M))))))), M)))))), O)))), K)))))), L))))), M)))), K)))))), L))))))), M))))), N))))), M))))))), M)))))), O))))))), N))))), M))))))), M)))))), O))))), N))))), M))))))), M)))))), O))))), N))))), M))))))), M)))))), O)-[P=d(2, d(1, 1)), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), T=d(2, d(R, X)), Y=d(3, d(T, Z)), W=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, X))))), M))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), H=d(d(d(2, d(1, 2)), 1), d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, M))))), d(1, A1))))), D=d(d(d(2, d(1, 2)), 1), T), U=d(d(2, 1), 1), M=d(P, U), N=d(P, d(d(2, d(1, B1)), Z)), Z=d(R, M), L=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), N)))), M)), A1=d(d(2, d(1, d(2, U))), M), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, U)))), N)))), M), I=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), U))), U), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(P, I))))), M))), d(d(2, d(1, W)), d(I, d(d(3, d(3, d(1, C1))), C1))))))), M)), U), O=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(B1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), U))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, N)))), M)))))), M)))))), N)))), M))), U)))))]).
mm_proof(ad5ant134, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)))))), K))))), L))))), d(G, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, J))))), K)))), L)))), d(G, Q))))), L)))), L)))), R)))), L)))))), L))))), S))), J))))), K)))), d(G, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Q)), J))))), K)))), L)))), R)))), L)))))), L))))), S)))))), L))), Q)), T))))))), L))))), L))))), R))))), L))))))), L)))))), S)))))), R))))), L))))))), L)))))), S)-[G=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, T))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), P=d(2, d(1, T)), M=d(2, d(N, W)), X=d(3, d(M, Y)), V=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, W))))), L))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), T=d(d(2, 1), 1), L=d(G, T), R=d(G, d(d(2, d(1, Z)), Y)), Y=d(N, L), K=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), L)))), R)))), L)), W=d(d(2, d(1, d(2, d(d(2, d(1, P)), R)))), L), H=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), R)))), L)))))), L))))), S), Z=d(d(2, d(N, d(d(2, d(1, d(2, Y))), T))), T), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(G, H))))), L))), d(d(2, d(1, V)), d(H, d(d(3, d(3, d(1, A1))), A1))))))), L)), T), S=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(H, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Z, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), L))), T))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(U, R)))), L)))))), L)))))), R)))), L))), T)))))]).
mm_proof(ad5ant135, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))))), J))))), K))))), d(L, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, I))))), J)))), K)))), Q)))), K)))), K)))), R)))), K)))))), K))))), S))), I))))), J)))), d(L, d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), I))))), J)))), K)))), R)))), K)))))), K))))), S)))))), K))), T)), U))))))), K))))), K))))), R))))), K))))))), K)))))), S)))), I)))))), J))))), K))))), Q))))), K))))), K))))), R))))), K))))))), K)))))), S)-[L=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(M, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), P=d(2, d(1, U)), M=d(2, d(N, X)), Y=d(3, d(M, Z)), W=d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, X))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), O), D=d(d(d(2, d(1, 2)), 1), M), U=d(d(2, 1), 1), K=d(L, U), Q=d(L, T), R=d(L, d(d(2, d(1, A1)), Z)), Z=d(N, K), J=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), K)))), R)))), K)), X=d(d(2, d(1, d(2, d(d(2, d(1, P)), R)))), K), G=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, d(3, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), R)))), K)))))), K))))), S), A1=d(d(2, d(N, d(d(2, d(1, d(2, Z))), U))), U), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(L, G))))), K))), d(d(2, d(1, W)), d(G, d(d(3, d(3, d(1, B1))), B1))))))), K)), U), S=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(A1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), K))), U))), d(3, d(M, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(V, R)))), K)))))), K)))))), R)))), K))), U)))))]).
mm_proof(ad5ant145, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), I)))))), J))))), K))))), L))))), K))))), K))))), M))))), K))))))), K)))))), N)))), I)))))), J))))), K))))), L))))), K))))), K))))), M))))), K))))))), K)))))), N)-[O=d(2, d(1, 1)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, S))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), V=d(2, d(1, S)), R=d(2, d(P, W)), X=d(3, d(R, Y)), U=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, W))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), Q), D=d(d(d(2, d(1, 2)), 1), R), S=d(d(2, 1), 1), K=d(O, S), M=d(O, d(d(2, d(1, Z)), Y)), L=d(O, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, I))))), J)))), K)))), d(O, A1))))), K)))), K)))), M)))), K)))))), K))))), N))), I))))), J)))), d(O, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), I))))), J)))), K)))), M)))), K)))))), K))))), N)))))), K))), A1)), S)), Y=d(P, K), J=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), K)))), M)))), K)), W=d(d(2, d(1, d(2, d(d(2, d(1, V)), M)))), K), G=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), M)))), K)))))), K))))), N), Z=d(d(2, d(P, d(d(2, d(1, d(2, Y))), S))), S), H=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(O, G))))), K))), d(d(2, d(1, U)), d(G, d(d(3, d(3, d(1, B1))), B1))))))), K)), S), N=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(Z, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), K))), S))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(T, M)))), K)))))), K)))))), M)))), K))), S)))))]).
mm_proof(ad5ant2345, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), H)))))), I)))), H)))))), I)))), H)))))), I)))))), J))))), K))))))), K)))))), L)))), H)))))), I))))), K))))), J))))), K))))))), K)))))), L))))), J))))), K))))))), K)))))), L))))), J))))), K))))))), K)))))), L))))), J))))), K))))))), K)))))), L)-[G=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), O=d(2, d(M, S)), T=d(3, d(O, U)), R=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, S))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), K=d(G, P), J=d(G, d(d(2, d(1, V)), U)), U=d(M, K), I=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), K)))), J)))), K)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), J)))), K), W=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(M, d(d(2, d(1, d(2, U))), P))), P), L=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(G, W))))), K))), d(d(2, d(1, R)), d(W, d(d(3, d(3, d(1, X))), X))))))), K)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), K))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, J)))), K)))))), K)))))), J)))), K))), P)))))]).
mm_proof(syl13anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, 1)), H)))))), I)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(K, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), N)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(O, N))), P)))))), P))))))))))), Q))))))))))))), P)-[J=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, P))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), W=d(2, d(1, P)), T=d(2, d(R, X)), Y=d(3, d(T, Z)), V=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, X))))), Q))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), O=d(d(d(2, d(1, 2)), 1), F), B=d(d(d(2, d(1, 2)), 1), A), M=d(d(d(2, d(1, 2)), 1), O), C=d(d(d(2, d(1, 2)), 1), B), E=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G))), D=d(d(d(2, d(1, 2)), 1), M), N=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, H))))), I))))), J))))), Q)))), P=d(d(2, 1), 1), Q=d(J, P), A1=d(J, d(d(2, d(1, B1)), Z)), Z=d(R, Q), I=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), Q)))), A1)))), Q)), X=d(d(2, d(1, d(2, d(d(2, d(1, W)), A1)))), Q), K=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), P))), P), L=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, K))))), Q))), d(d(2, d(1, V)), d(K, d(d(3, d(3, d(1, C1))), C1))))))), Q)), P), H=d(K, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(B1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), Q))), P))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(U, A1)))), Q)))))), Q)))))), A1)))), Q))), P)))))]).
mm_proof(syl121anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(H, G))), L)))))))), M))))))))), L))))))), L)))-[K=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), T=d(2, d(1, L)), P=d(2, d(N, U)), V=d(3, d(P, W)), R=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, U))))), M))), X=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), J=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S))))), I=d(d(d(2, d(1, 2)), 1), X), H=d(d(d(2, d(1, 2)), 1), A), E=d(d(d(2, d(1, 2)), 1), D), F=d(d(d(2, d(1, 2)), 1), H), G=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(X, d(A, d(J, K))))), M)))), L=d(d(2, 1), 1), M=d(K, L), Y=d(K, d(d(2, d(1, Z)), W)), W=d(N, M), S=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M)))), Y)))), M)), U=d(d(2, d(1, d(2, d(d(2, d(1, T)), Y)))), M), B=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(N, d(d(2, d(1, d(2, W))), L))), L), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(K, B))))), M))), d(d(2, d(1, R)), d(B, d(d(3, d(3, d(1, A1))), A1))))))), M)), L), A1=d(Z, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), M))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Q, Y)))), M)))))), M)))))), Y)))), M))), L)))))]).
mm_proof(syl23anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), I)))))), J)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(N, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), O)), P))))), Q))))))))))), R))))))))), P)))))))), Q)-[K=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(U, Q))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), X=d(2, d(1, Q)), U=d(2, d(S, Y)), Z=d(3, d(U, A1)), W=d(3, d(U, d(d(2, d(1, d(2, d(S, d(T, Y))))), R))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B1=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), A), N=d(d(d(2, d(1, 2)), 1), B1), C=d(d(d(2, d(1, 2)), 1), B), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), E=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), C), O=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, I))))), J))))), K))))), R)))), Q=d(d(2, 1), 1), R=d(K, Q), C1=d(K, d(d(2, d(1, D1)), A1)), A1=d(S, R), J=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), R)))), C1)))), R)), Y=d(d(2, d(1, d(2, d(d(2, d(1, X)), C1)))), R), L=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(S, d(d(2, d(1, d(2, A1))), Q))), Q), M=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, L))))), R))), d(d(2, d(1, W)), d(L, d(d(3, d(3, d(1, E1))), E1))))))), R)), Q), P=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B1, O))), Q), I=d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), R))), Q))), d(3, d(U, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(V, C1)))), R)))))), R)))))), C1)))), R))), Q)))))]).
mm_proof(syl32anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), I)))))), J))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), L)))))))), M))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), P)), L))))), Q)))))))))), Q)-[K=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, Q))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), W=d(2, d(1, Q)), T=d(2, d(R, X)), Y=d(3, d(T, Z)), V=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, X))))), M))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), A1=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), A), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), E=d(d(d(2, d(1, 2)), 1), A1), C=d(d(d(2, d(1, 2)), 1), B), D=d(d(d(2, d(1, 2)), 1), C), P=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, I))))), J))))), K))))), M)))), Q=d(d(2, 1), 1), M=d(K, Q), B1=d(K, d(d(2, d(1, C1)), Z)), Z=d(R, M), J=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), M)))), B1)))), M)), X=d(d(2, d(1, d(2, d(d(2, d(1, W)), B1)))), M), N=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), Q))), Q), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(K, N))))), M))), d(d(2, d(1, V)), d(N, d(d(3, d(3, d(1, D1))), D1))))))), M)), Q), L=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, P))), Q), I=d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(C1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), M))), Q))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(U, B1)))), M)))))), M)))))), B1)))), M))), Q)))))]).
mm_proof(syl122anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(G, H)))), I)))))))), I)))-[J=d(2, d(1, 1)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), Q=d(2, d(1, I)), M=d(2, d(K, R)), S=d(3, d(M, T)), O=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, R))))), U))), V=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), W=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), P))))), X=d(d(d(2, d(1, 2)), 1), V), Y=d(d(d(2, d(1, 2)), 1), A), E=d(d(d(2, d(1, 2)), 1), D), G=d(d(d(2, d(1, 2)), 1), Y), F=d(d(d(2, d(1, 2)), 1), E), H=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(Y, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(Y, d(X, d(Y, d(d(d(d(2, d(1, 2)), 1), W), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(Y, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(V, d(A, d(W, J))))), U))))))), I)))))))), U))))), I=d(d(2, 1), 1), U=d(J, I), Z=d(J, d(d(2, d(1, A1)), T)), T=d(K, U), P=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), U)))), Z)))), U)), R=d(d(2, d(1, d(2, d(d(2, d(1, Q)), Z)))), U), B=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(K, d(d(2, d(1, d(2, T))), I))), I), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(J, B))))), U))), d(d(2, d(1, O)), d(B, d(d(3, d(3, d(1, B1))), B1))))))), U)), I), B1=d(A1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), U))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(N, Z)))), U)))))), U)))))), Z)))), U))), I)))))]).
mm_proof(syl221anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(I, d(J, d(I, d(d(d(d(2, d(1, 2)), 1), K), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L)), M))))))), N))))))), M)))))), O)))))))), O)))-[L=d(2, d(1, 1)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, O))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), V=d(2, d(1, O)), R=d(2, d(P, W)), X=d(3, d(R, Y)), T=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, W))))), N))), Z=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), U))))), J=d(d(d(2, d(1, 2)), 1), Z), I=d(d(d(2, d(1, 2)), 1), A), E=d(d(d(2, d(1, 2)), 1), D), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), H=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(A, d(K, L))))), N)))), O=d(d(2, 1), 1), N=d(L, O), A1=d(L, d(d(2, d(1, B1)), Y)), Y=d(P, N), U=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), N)))), A1)))), N)), W=d(d(2, d(1, d(2, d(d(2, d(1, V)), A1)))), N), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(P, d(d(2, d(1, d(2, Y))), O))), O), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(L, B))))), N))), d(d(2, d(1, T)), d(B, d(d(3, d(3, d(1, C1))), C1))))))), N)), O), M=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(I, H))), O), C1=d(B1, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), N))), O))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(S, A1)))), N)))))), N)))))), A1)))), N))), O)))))]).
mm_proof(syl131anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K))), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(L, M))), N)))))), N)))))))))), O))))))))))), N)))))))), N)))-[K=d(2, d(1, 1)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, N))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), V=d(2, d(1, N)), R=d(2, d(P, W)), X=d(3, d(R, Y)), T=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, W))))), O))), Z=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), J=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), U))))), L=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Z)), H=d(d(d(2, d(1, 2)), 1), L), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), H), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), M)), M=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(A, d(J, K))))), O)))), N=d(d(2, 1), 1), O=d(K, N), C1=d(K, d(d(2, d(1, D1)), Y)), Y=d(P, O), U=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), O)))), C1)))), O)), W=d(d(2, d(1, d(2, d(d(2, d(1, V)), C1)))), O), A1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(P, d(d(2, d(1, d(2, Y))), N))), N), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(K, A1))))), O))), d(d(2, d(1, T)), d(A1, d(d(3, d(3, d(1, E1))), E1))))))), O)), N), E1=d(D1, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), O))), N))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(S, C1)))), O)))))), O)))))), C1)))), O))), N)))))]).
mm_proof(syl311anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(J, K))), L)))))), L)))))))), L)))))))), L)))-[M=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), T=d(2, d(1, L)), P=d(2, d(N, U)), V=d(3, d(P, W)), R=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, U))))), X))), Y=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), J=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), H=d(d(d(2, d(1, 2)), 1), J), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(Z, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), H), G=d(d(d(2, d(1, 2)), 1), I), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), K=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Y, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Y, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(Z, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S))))), M))))), X)))), L=d(d(2, 1), 1), X=d(M, L), B1=d(M, d(d(2, d(1, C1)), W)), W=d(N, X), S=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), X)))), B1)))), X)), U=d(d(2, d(1, d(2, d(d(2, d(1, T)), B1)))), X), Z=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(N, d(d(2, d(1, d(2, W))), L))), L), A1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(M, Z))))), X))), d(d(2, d(1, R)), d(Z, d(d(3, d(3, d(1, D1))), D1))))))), X)), L), D1=d(C1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), X))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Q, B1)))), X)))))), X)))))), B1)))), X))), L)))))]).
mm_proof(syl33anc, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(F, d(G, d(F, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), J)))))), K)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L))), M))))))))), N)))))))))), M))))))))), O)-[L=d(2, d(1, 1)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, O))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), U=d(2, d(1, O)), R=d(2, d(P, V)), W=d(3, d(R, X)), T=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, V))))), N))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), Y=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), A), Z=d(d(d(2, d(1, 2)), 1), Y), C=d(d(d(2, d(1, 2)), 1), B), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I))), F=d(d(d(2, d(1, 2)), 1), Z), D=d(d(d(2, d(1, 2)), 1), C), E=d(d(d(2, d(1, 2)), 1), D), A1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, J))))), K))))), L))))), N)))), O=d(d(2, 1), 1), N=d(L, O), B1=d(L, d(d(2, d(1, C1)), X)), X=d(P, N), K=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), N)))), B1)))), N)), V=d(d(2, d(1, d(2, d(d(2, d(1, U)), B1)))), N), D1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(P, d(d(2, d(1, d(2, X))), O))), O), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(L, D1))))), N))), d(d(2, d(1, T)), d(D1, d(d(3, d(3, d(1, F1))), F1))))))), N)), O), M=d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(D1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(Z, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A1)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Y, A1))), O)))))), O)), J=d(D1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(C1, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), N))), O))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(S, B1)))), N)))))), N)))))), B1)))), N))), O)))))]).
mm_proof(syl222anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(H, d(I, J)))))), K))))))))), K)))-[L=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, K))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), S=d(2, d(1, K)), O=d(2, d(M, T)), U=d(3, d(O, V)), Q=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, T))))), W))), X=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), Y=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), R))))), Z=d(d(d(2, d(1, 2)), 1), X), A1=d(d(d(2, d(1, 2)), 1), A), E=d(d(d(2, d(1, 2)), 1), D), F=d(d(d(2, d(1, 2)), 1), E), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A1)), G=d(d(d(2, d(1, 2)), 1), F), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(A1, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(A1, d(Z, d(A1, d(d(d(d(2, d(1, 2)), 1), Y), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L)), J))))))), W))))))), K=d(d(2, 1), 1), W=d(L, K), B1=d(L, d(d(2, d(1, C1)), V)), V=d(M, W), R=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), W)))), B1)))), W)), T=d(d(2, d(1, d(2, d(d(2, d(1, S)), B1)))), W), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(M, d(d(2, d(1, d(2, V))), K))), K), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(L, B))))), W))), d(d(2, d(1, Q)), d(B, d(d(3, d(3, d(1, D1))), D1))))))), W)), K), J=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(A1, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(X, d(A, d(Y, L))))), W))))))), K), D1=d(C1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), W))), K))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(P, B1)))), W)))))), W)))))), B1)))), W))), K)))))]).
mm_proof(syl123anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), L))))), M)))))))))), N))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(G, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(O, d(P, d(O, d(I, d(J, L))))))), N))))))))), M))))))))), M)))-[Q=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, M))))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), X=d(2, d(1, M)), T=d(2, d(R, Y)), Z=d(3, d(T, A1)), V=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, Y))))), N))), B1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(D1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), W))))), P=d(d(d(2, d(1, 2)), 1), B1), O=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), I=d(d(d(2, d(1, 2)), 1), C1), H=d(d(d(2, d(1, 2)), 1), P), G=d(d(d(2, d(1, 2)), 1), O), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(D1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), K=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B1, d(A, d(C1, Q))))), N)))), M=d(d(2, 1), 1), N=d(Q, M), F1=d(Q, d(d(2, d(1, G1)), A1)), A1=d(R, N), W=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N)))), F1)))), N)), Y=d(d(2, d(1, d(2, d(d(2, d(1, X)), F1)))), N), D1=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(R, d(d(2, d(1, d(2, A1))), M))), M), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(Q, D1))))), N))), d(d(2, d(1, V)), d(D1, d(d(3, d(3, d(1, H1))), H1))))))), N)), M), L=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(O, K))), M), H1=d(G1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), N))), M))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(U, F1)))), N)))))), N)))))), F1)))), N))), M)))))]).
mm_proof(syl132anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(H, d(I, d(H, d(J, d(K, L))))))), M))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(G, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(N, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(N, d(O, d(N, d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, 2)), 1), K), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(N, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), P)), L))))), Q)))))))))), M))))))))))), Q))))))))), Q)))-[R=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(U, Q))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Y=d(2, d(1, Q)), U=d(2, d(S, Z)), A1=d(3, d(U, B1)), W=d(3, d(U, d(d(2, d(1, d(2, d(S, d(T, Z))))), M))), C1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), D1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(E1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), X))))), I=d(d(d(2, d(1, 2)), 1), C1), H=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), K=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), R)), J=d(d(d(2, d(1, 2)), 1), D1), O=d(d(d(2, d(1, 2)), 1), I), N=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(E1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), G=d(d(d(2, d(1, 2)), 1), N), F=d(d(d(2, d(1, 2)), 1), E), P=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C1, d(A, d(D1, R))))), M)))), Q=d(d(2, 1), 1), M=d(R, Q), G1=d(R, d(d(2, d(1, H1)), B1)), B1=d(S, M), X=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), M)))), G1)))), M)), Z=d(d(2, d(1, d(2, d(d(2, d(1, Y)), G1)))), M), E1=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(S, d(d(2, d(1, d(2, B1))), Q))), Q), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(R, E1))))), M))), d(d(2, d(1, W)), d(E1, d(d(3, d(3, d(1, I1))), I1))))))), M)), Q), L=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(H, P))), Q), I1=d(H1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), M))), Q))), d(3, d(U, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(V, G1)))), M)))))), M)))))), G1)))), M))), Q)))))]).
mm_proof(syl231anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(J, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L))), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(H, M))))), N)))))))))), O)))))))), M))))))), N))))))))), N)))-[L=d(2, d(1, 1)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, N))))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), V=d(2, d(1, N)), R=d(2, d(P, W)), X=d(3, d(R, Y)), T=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, W))))), O))), Z=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), U))))), C1=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Z)), I=d(d(d(2, d(1, 2)), 1), C1), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D1)), D1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(A, d(K, L))))), O)))), N=d(d(2, 1), 1), O=d(L, N), E1=d(L, d(d(2, d(1, F1)), Y)), Y=d(P, O), U=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), O)))), E1)))), O)), W=d(d(2, d(1, d(2, d(d(2, d(1, V)), E1)))), O), A1=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(P, d(d(2, d(1, d(2, Y))), N))), N), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(L, A1))))), O))), d(d(2, d(1, T)), d(A1, d(d(3, d(3, d(1, G1))), G1))))))), O)), N), M=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(C1, D1))), N), G1=d(F1, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), O))), N))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(S, E1)))), O)))))), O)))))), E1)))), O))), N)))))]).
mm_proof(syl312anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), L))))))), M))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(G, d(d(d(d(2, d(1, 2)), 1), N), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(O, d(N, L))))), P)))))))), P))))))))), P)))-[K=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(S, P))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), W=d(2, d(1, P)), S=d(2, d(Q, X)), Y=d(3, d(S, Z)), U=d(3, d(S, d(d(2, d(1, d(2, d(Q, d(R, X))))), M))), A1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), J=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), V))))), I=d(d(d(2, d(1, 2)), 1), A1), H=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), O=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), G=d(d(d(2, d(1, 2)), 1), O), F=d(d(d(2, d(1, 2)), 1), E), N=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D1)), D1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, d(A, d(J, K))))), M)))), P=d(d(2, 1), 1), M=d(K, P), E1=d(K, d(d(2, d(1, F1)), Z)), Z=d(Q, M), V=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), M)))), E1)))), M)), X=d(d(2, d(1, d(2, d(d(2, d(1, W)), E1)))), M), B1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(Q, d(d(2, d(1, d(2, Z))), P))), P), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(K, B1))))), M))), d(d(2, d(1, U)), d(B1, d(d(3, d(3, d(1, G1))), G1))))))), M)), P), L=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(H, D1))), P), G1=d(F1, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), M))), P))), d(3, d(S, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(T, E1)))), M)))))), M)))))), E1)))), M))), P)))))]).
mm_proof(syl321anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(I, d(J, d(I, d(d(d(d(2, d(1, 2)), 1), K), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L)), M))))))), N)))))))), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(O, d(H, M))))), P))))))))), P))))))))), P)))-[L=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(S, P))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), W=d(2, d(1, P)), S=d(2, d(Q, X)), Y=d(3, d(S, Z)), U=d(3, d(S, d(d(2, d(1, d(2, d(Q, d(R, X))))), N))), A1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), V))))), J=d(d(d(2, d(1, 2)), 1), A1), I=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), O=d(d(d(2, d(1, 2)), 1), I), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), O)), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D1)), D1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, d(A, d(K, L))))), N)))), P=d(d(2, 1), 1), N=d(L, P), E1=d(L, d(d(2, d(1, F1)), Z)), Z=d(Q, N), V=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), N)))), E1)))), N)), X=d(d(2, d(1, d(2, d(d(2, d(1, W)), E1)))), N), B1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(Q, d(d(2, d(1, d(2, Z))), P))), P), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(L, B1))))), N))), d(d(2, d(1, U)), d(B1, d(d(3, d(3, d(1, G1))), G1))))))), N)), P), M=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(I, D1))), P), G1=d(F1, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), N))), P))), d(3, d(S, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(T, E1)))), N)))))), N)))))), E1)))), N))), P)))))]).
mm_proof(syl133anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, I))))), J)))))))))), J)))-[K=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, J))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R=d(2, d(1, J)), N=d(2, d(L, S)), T=d(3, d(N, U)), P=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, S))))), V))), W=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), X=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(Y, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Q))))), A1=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), B1=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), W)), C1=d(d(d(2, d(1, 2)), 1), A1), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(Y, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), H=d(d(d(2, d(1, 2)), 1), C1), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), F), D1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(W, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(W, d(A, d(X, K))))), V)))), I=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C1, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C1, d(B1, d(C1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), X)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K))), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(C1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D1)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(A1, D1))), J)))))), J)))))))))), V)))))), J=d(d(2, 1), 1), V=d(K, J), E1=d(K, d(d(2, d(1, F1)), U)), U=d(L, V), Q=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), V)))), E1)))), V)), S=d(d(2, d(1, d(2, d(d(2, d(1, R)), E1)))), V), Y=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(L, d(d(2, d(1, d(2, U))), J))), J), Z=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(K, Y))))), V))), d(d(2, d(1, P)), d(Y, d(d(3, d(3, d(1, G1))), G1))))))), V)), J), G1=d(F1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), V))), J))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(O, E1)))), V)))))), V)))))), E1)))), V))), J)))))]).
mm_proof(syl313anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(J, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L))), M)))))))), N)))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, d(d(d(d(2, d(1, 2)), 1), O), M)))))), P)))))))))), P)))-[L=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(S, P))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), W=d(2, d(1, P)), S=d(2, d(Q, X)), Y=d(3, d(S, Z)), U=d(3, d(S, d(d(2, d(1, d(2, d(Q, d(R, X))))), N))), A1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), V))))), D1=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A1)), I=d(d(d(2, d(1, 2)), 1), D1), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), H=d(d(d(2, d(1, 2)), 1), I), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), F), O=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E1)), E1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, d(A, d(K, L))))), N)))), P=d(d(2, 1), 1), N=d(L, P), F1=d(L, d(d(2, d(1, G1)), Z)), Z=d(Q, N), V=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), N)))), F1)))), N)), X=d(d(2, d(1, d(2, d(d(2, d(1, W)), F1)))), N), B1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(Q, d(d(2, d(1, d(2, Z))), P))), P), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(L, B1))))), N))), d(d(2, d(1, U)), d(B1, d(d(3, d(3, d(1, H1))), H1))))))), N)), P), M=d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D1, E1))), P)))))), P)), H1=d(G1, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), N))), P))), d(3, d(S, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(T, F1)))), N)))))), N)))))), F1)))), N))), P)))))]).
mm_proof(syl331anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(J, d(K, d(J, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), M))), N)))))))), O))))))))), N)))))))), P)))))))))), P)))-[M=d(2, d(1, 1)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(S, P))))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), W=d(2, d(1, P)), S=d(2, d(Q, X)), Y=d(3, d(S, Z)), U=d(3, d(S, d(d(2, d(1, d(2, d(Q, d(R, X))))), O))), A1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), V))))), D1=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), K=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A1)), J=d(d(d(2, d(1, 2)), 1), D1), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), F), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J))), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E1)), E1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(A1, d(A, d(L, M))))), O)))), P=d(d(2, 1), 1), O=d(M, P), F1=d(M, d(d(2, d(1, G1)), Z)), Z=d(Q, O), V=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), O)))), F1)))), O)), X=d(d(2, d(1, d(2, d(d(2, d(1, W)), F1)))), O), B1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(Q, d(d(2, d(1, d(2, Z))), P))), P), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(M, B1))))), O))), d(d(2, d(1, U)), d(B1, d(d(3, d(3, d(1, H1))), H1))))))), O)), P), N=d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(J, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D1, E1))), P)))))), P)), H1=d(G1, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), O))), P))), d(3, d(S, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(Q, d(R, d(d(2, d(1, d(2, d(T, F1)))), O)))))), O)))))), F1)))), O))), P)))))]).
mm_proof(syl223anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(J, d(I, d(d(d(d(2, d(1, 2)), 1), K), d(d(d(d(2, d(1, 2)), 1), L), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), M)), N))))), O)))))))))), P)))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, d(R, d(Q, d(K, d(L, N))))))), P))))))), N)))))), O)))))))))), O)))-[S=d(2, d(1, 1)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, O))))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), Z=d(2, d(1, O)), V=d(2, d(T, A1)), B1=d(3, d(V, C1)), X=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, A1))))), P))), D1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(F1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Y))))), R=d(d(d(2, d(1, 2)), 1), D1), Q=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), L=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), K=d(d(d(2, d(1, 2)), 1), E1), J=d(d(d(2, d(1, 2)), 1), R), I=d(d(d(2, d(1, 2)), 1), Q), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(F1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), H=d(d(d(2, d(1, 2)), 1), I), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), F), M=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D1, d(A, d(E1, S))))), P)))), O=d(d(2, 1), 1), P=d(S, O), H1=d(S, d(d(2, d(1, I1)), C1)), C1=d(T, P), Y=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), P)))), H1)))), P)), A1=d(d(2, d(1, d(2, d(d(2, d(1, Z)), H1)))), P), F1=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(T, d(d(2, d(1, d(2, C1))), O))), O), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(S, F1))))), P))), d(d(2, d(1, X)), d(F1, d(d(3, d(3, d(1, J1))), J1))))))), P)), O), N=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(Q, M))), O), J1=d(I1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), P))), O))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(W, H1)))), P)))))), P)))))), H1)))), P))), O)))))]).
mm_proof(syl232anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(I, d(J, d(I, d(K, d(L, M))))))), N)))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(O, d(P, d(O, d(d(d(d(2, d(1, 2)), 1), K), d(d(d(d(2, d(1, 2)), 1), L), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(O, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q)), M))))), R)))))))))), N)))))))), M))))))), R)))))))))), R)))-[S=d(2, d(1, 1)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(V, R))))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), Z=d(2, d(1, R)), V=d(2, d(T, A1)), B1=d(3, d(V, C1)), X=d(3, d(V, d(d(2, d(1, d(2, d(T, d(U, A1))))), N))), D1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(F1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Y))))), J=d(d(d(2, d(1, 2)), 1), D1), I=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), L=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), S)), K=d(d(d(2, d(1, 2)), 1), E1), P=d(d(d(2, d(1, 2)), 1), J), O=d(d(d(2, d(1, 2)), 1), I), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(F1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), O)), G=d(d(d(2, d(1, 2)), 1), F), Q=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D1, d(A, d(E1, S))))), N)))), R=d(d(2, 1), 1), N=d(S, R), H1=d(S, d(d(2, d(1, I1)), C1)), C1=d(T, N), Y=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), N)))), H1)))), N)), A1=d(d(2, d(1, d(2, d(d(2, d(1, Z)), H1)))), N), F1=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(T, d(d(2, d(1, d(2, C1))), R))), R), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(S, F1))))), N))), d(d(2, d(1, X)), d(F1, d(d(3, d(3, d(1, J1))), J1))))))), N)), R), M=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(I, Q))), R), J1=d(I1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), N))), R))), d(3, d(V, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(W, H1)))), N)))))), N)))))), H1)))), N))), R)))))]).
mm_proof(syl322anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(H, d(I, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(J, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), L))))), M))))))))), M)))))))))), M)))-[N=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, M))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), U=d(2, d(1, M)), Q=d(2, d(O, V)), W=d(3, d(Q, X)), S=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, V))))), Y))), Z=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), A1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), T))))), D1=d(d(d(2, d(1, 2)), 1), Z), E1=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), J=d(d(d(2, d(1, 2)), 1), E1), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), H=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), G=d(d(d(2, d(1, 2)), 1), F), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(E1, d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(E1, d(D1, d(E1, d(d(d(d(2, d(1, 2)), 1), A1), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), N)), L))))))), Y)))))))), K=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(A, d(A1, N))))), Y)))), M=d(d(2, 1), 1), Y=d(N, M), F1=d(N, d(d(2, d(1, G1)), X)), X=d(O, Y), T=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), Y)))), F1)))), Y)), V=d(d(2, d(1, d(2, d(d(2, d(1, U)), F1)))), Y), B1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(O, d(d(2, d(1, d(2, X))), M))), M), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(N, B1))))), Y))), d(d(2, d(1, S)), d(B1, d(d(3, d(3, d(1, H1))), H1))))))), Y)), M), L=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(E1, K))), M), H1=d(G1, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), Y))), M))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, F1)))), Y)))))), Y)))))), F1)))), Y))), M)))))]).
mm_proof(syl233anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(H, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(I, d(J, K))))))), L))))))))))), L)))-[M=d(2, d(1, 1)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, d(1, d(P, L))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), T=d(2, d(1, L)), P=d(2, d(N, U)), V=d(3, d(P, W)), R=d(3, d(P, d(d(2, d(1, d(2, d(N, d(O, U))))), X))), Y=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), Z=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), S))))), C1=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), D1=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Y)), E1=d(d(d(2, d(1, 2)), 1), C1), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E1)), G=d(d(d(2, d(1, 2)), 1), F), H=d(d(d(2, d(1, 2)), 1), G), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E1, d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E1, d(D1, d(E1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Z)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), M))), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F1)), K))))), L)))))))))), X)))))))), F1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Y, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Y, d(A, d(Z, M))))), X)))), L=d(d(2, 1), 1), X=d(M, L), G1=d(M, d(d(2, d(1, H1)), W)), W=d(N, X), S=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), X)))), G1)))), X)), U=d(d(2, d(1, d(2, d(d(2, d(1, T)), G1)))), X), A1=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(N, d(d(2, d(1, d(2, W))), L))), L), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(M, A1))))), X))), d(d(2, d(1, R)), d(A1, d(d(3, d(3, d(1, I1))), I1))))))), X)), L), K=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(C1, F1))), L), I1=d(H1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), X))), L))), d(3, d(P, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(N, d(O, d(d(2, d(1, d(2, d(Q, G1)))), X)))))), X)))))), G1)))), X))), L)))))]).
mm_proof(syl323anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(H, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(J, d(K, d(J, d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, 2)), 1), M), N)))))))), O))))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(P, d(Q, d(P, d(L, d(M, R))))))), O)))))))), N))))))), S))))))))))), S)))-[T=d(2, d(1, 1)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(W, S))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), A1=d(2, d(1, S)), W=d(2, d(U, B1)), C1=d(3, d(W, D1)), Y=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, B1))))), O))), E1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(G1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Z))))), Q=d(d(d(2, d(1, 2)), 1), E1), P=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), M=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), T)), L=d(d(d(2, d(1, 2)), 1), F1), K=d(d(d(2, d(1, 2)), 1), Q), J=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), G=d(d(d(2, d(1, 2)), 1), F), H=d(d(d(2, d(1, 2)), 1), G), I1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E1, d(A, d(F1, T))))), O)))), S=d(d(2, 1), 1), O=d(T, S), J1=d(T, d(d(2, d(1, K1)), D1)), D1=d(U, O), Z=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), O)))), J1)))), O)), B1=d(d(2, d(1, d(2, d(d(2, d(1, A1)), J1)))), O), G1=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(U, d(d(2, d(1, d(2, D1))), S))), S), H1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(T, G1))))), O))), d(d(2, d(1, Y)), d(G1, d(d(3, d(3, d(1, L1))), L1))))))), O)), S), N=d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(J, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I1)), R))))), S)), R=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(P, I1))), S), L1=d(K1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), O))), S))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(X, J1)))), O)))))), O)))))), J1)))), O))), S)))))]).
mm_proof(syl332anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(H, d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(J, d(K, d(J, d(L, d(M, N))))))), O))))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(P, d(Q, d(P, d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, 2)), 1), M), R)))))))), O))))))))), R)))))))), S))))))))))), S)))-[T=d(2, d(1, 1)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(W, S))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), A1=d(2, d(1, S)), W=d(2, d(U, B1)), C1=d(3, d(W, D1)), Y=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, B1))))), O))), E1=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(G1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), Z))))), K=d(d(d(2, d(1, 2)), 1), E1), J=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), M=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), T)), L=d(d(d(2, d(1, 2)), 1), F1), Q=d(d(d(2, d(1, 2)), 1), K), P=d(d(d(2, d(1, 2)), 1), J), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), F), I=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), P))), H=d(d(d(2, d(1, 2)), 1), G), I1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E1, d(A, d(F1, T))))), O)))), S=d(d(2, 1), 1), O=d(T, S), J1=d(T, d(d(2, d(1, K1)), D1)), D1=d(U, O), Z=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), O)))), J1)))), O)), B1=d(d(2, d(1, d(2, d(d(2, d(1, A1)), J1)))), O), G1=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(U, d(d(2, d(1, d(2, D1))), S))), S), H1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(T, G1))))), O))), d(d(2, d(1, Y)), d(G1, d(d(3, d(3, d(1, L1))), L1))))))), O)), S), R=d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(P, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I1)), N))))), S)), N=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(J, I1))), S), L1=d(K1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), O))), S))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(X, J1)))), O)))))), O)))))), J1)))), O))), S)))))]).
mm_proof(syl333anc, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(H, d(I, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(G, d(J, d(K, L)))))))), M)))))))))))), M)))-[N=d(2, d(1, 1)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(Q, M))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), U=d(2, d(1, M)), Q=d(2, d(O, V)), W=d(3, d(Q, X)), S=d(3, d(Q, d(d(2, d(1, d(2, d(O, d(P, V))))), Y))), Z=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), A1=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), T))))), D1=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), C), E1=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Z)), F1=d(d(d(2, d(1, 2)), 1), D1), E=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), F=d(d(d(2, d(1, 2)), 1), E), G=d(d(d(2, d(1, 2)), 1), F), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F1))), H=d(d(d(2, d(1, 2)), 1), G), I=d(d(d(2, d(1, 2)), 1), H), K=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(F1, d(E1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(F1, d(E1, d(F1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A1)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), N))), L)))))))), Y))))))))), G1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(A, d(A1, N))))), Y)))), M=d(d(2, 1), 1), Y=d(N, M), H1=d(N, d(d(2, d(1, I1)), X)), X=d(O, Y), T=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), Y)))), H1)))), Y)), V=d(d(2, d(1, d(2, d(d(2, d(1, U)), H1)))), Y), B1=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(O, d(d(2, d(1, d(2, X))), M))), M), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(N, B1))))), Y))), d(d(2, d(1, S)), d(B1, d(d(3, d(3, d(1, J1))), J1))))))), Y)), M), L=d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(F1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G1)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D1, G1))), M)))))), M)), J1=d(I1, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Y))), M))), d(3, d(Q, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, H1)))), Y)))))), Y)))))), H1)))), Y))), M)))))]).
mm_proof(syl3an1b, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, 2)), 1), E), B))))), N))))), L))))))), L)))))), O)))), J)))))), K))))), L))))), d(E, W)))))), L))))), L))))), N))))), L))))))), L)))))), O)))), P)))), X)))), X)))-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, X))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, J))))), K)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, W)), J))))), K)))), L)))), Y=d(2, d(1, X)), F=d(2, d(G, B1)), C1=d(3, d(F, D1)), A1=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, B1))))), L))), R=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), S=d(d(d(2, d(1, 2)), 1), 3), U=d(d(d(2, d(1, 2)), 1), G), V=d(d(d(2, d(1, 2)), 1), H), T=d(d(d(2, d(1, 2)), 1), F), X=d(d(2, 1), 1), L=d(E, X), M=d(E, I), N=d(E, d(d(2, d(1, E1)), D1)), D1=d(G, L), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), L)))), N)))), L)), B1=d(d(2, d(1, d(2, d(d(2, d(1, Y)), N)))), L), B=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), L)))))), L))))), O), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Q, N)))), L)))))), L))))), O), E1=d(d(2, d(G, d(d(2, d(1, d(2, D1))), X))), X), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(E, B))))), L))), d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, F1))), F1))))))), L)), X), P=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), X))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Z, N)))), L)))))), L)))))), N)))), L))), X)))))]).
mm_proof(syl3an2b, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(R, B))))), N))))), L))))))), L)))))), O)))), J)))))), K))))), L))))), M))))), L))))), L))))), N))))), L))))))), L)))))), O)))), P))))))), L)))), d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(E, X))))), L)))), L)))), N)))), L)))))), L))))), O))), P)))), Y)))), Y)))-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, Y))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, J))))), K)))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, X)), J))))), K)))), L)))), Z=d(2, d(1, Y)), F=d(2, d(G, C1)), D1=d(3, d(F, E1)), B1=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, C1))))), L))), Q=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), S=d(d(d(2, d(1, 2)), 1), 3), R=d(d(d(2, d(1, 2)), 1), E), U=d(d(d(2, d(1, 2)), 1), G), V=d(d(d(2, d(1, 2)), 1), H), T=d(d(d(2, d(1, 2)), 1), F), Y=d(d(2, 1), 1), L=d(E, Y), M=d(E, I), N=d(E, d(d(2, d(1, F1)), E1)), E1=d(G, L), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), L)))), N)))), L)), C1=d(d(2, d(1, d(2, d(d(2, d(1, Z)), N)))), L), B=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), L)))))), L))))), O), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(W, N)))), L)))))), L))))), O), F1=d(d(2, d(G, d(d(2, d(1, d(2, E1))), Y))), Y), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(E, B))))), L))), d(d(2, d(1, B1)), d(B, d(d(3, d(3, d(1, G1))), G1))))))), L)), Y), P=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(F1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), Y))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(A1, N)))), L)))))), L)))))), N)))), L))), Y)))))]).
mm_proof(syl3an3b, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, 2)), 1), E), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(F, B))))), K))))), L))))))), L)))))), M)))), N)))))), O))))), L))))), K))))), L))))))), L)))))), M)))), N)))))), O))))), L))))), P))))), L))))), L))))), K))))), L))))))), L)))))), M)))), Q))))))), L)))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(R, d(d(2, d(1, d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, P)))), L)))), L)))), K)))), L)))))), L))))), M))), Q)))))), L))), d(d(2, d(1, d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(R, W))))), L)))), L)))), K)))), L)))))), L))))), M))), Q))), X)))), X)))-[R=d(2, d(1, 1)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(S, X))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, N))))), O)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, W)), N))))), O)))), L)))), Y=d(2, d(1, X)), S=d(2, d(T, B1)), C1=d(3, d(S, D1)), A1=d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, B1))))), L))), D=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), F=d(d(d(2, d(1, 2)), 1), R), I=d(d(d(2, d(1, 2)), 1), T), J=d(d(d(2, d(1, 2)), 1), U), H=d(d(d(2, d(1, 2)), 1), S), X=d(d(2, 1), 1), L=d(R, X), P=d(R, d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(V, K)))), L)))))), L))))), M)), K=d(R, d(d(2, d(1, E1)), D1)), D1=d(T, L), O=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), L)))), K)))), L)), B1=d(d(2, d(1, d(2, d(d(2, d(1, Y)), K)))), L), B=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), K)))), L)))))), L))))), M), E1=d(d(2, d(T, d(d(2, d(1, d(2, D1))), X))), X), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(R, B))))), L))), d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, F1))), F1))))))), L)), X), Q=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), X))), d(3, d(S, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(Z, K)))), L)))))), L)))))), K)))), L))), X)))))]).
mm_proof(syl3an1br, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), B), C)))))), N))))), L))))))), L)))))), O)))), J)))))), K))))), L))))), d(E, W)))))), L))))), L))))), N))))), L))))))), L)))))), O)))), P)))), X)))), X)))-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, X))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, J))))), K)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, W)), J))))), K)))), L)))), Y=d(2, d(1, X)), F=d(2, d(G, B1)), C1=d(3, d(F, D1)), A1=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, B1))))), L))), R=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), S=d(d(d(2, d(1, 2)), 1), 3), U=d(d(d(2, d(1, 2)), 1), G), V=d(d(d(2, d(1, 2)), 1), H), T=d(d(d(2, d(1, 2)), 1), F), X=d(d(2, 1), 1), L=d(E, X), M=d(E, I), N=d(E, d(d(2, d(1, E1)), D1)), D1=d(G, L), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), L)))), N)))), L)), B1=d(d(2, d(1, d(2, d(d(2, d(1, Y)), N)))), L), B=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), L)))))), L))))), O), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Q, N)))), L)))))), L))))), O), E1=d(d(2, d(G, d(d(2, d(1, d(2, D1))), X))), X), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(E, B))))), L))), d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, F1))), F1))))))), L)), X), P=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), X))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Z, N)))), L)))))), L)))))), N)))), L))), X)))))]).
mm_proof(syl3an2br, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(A, d(R, d(d(d(d(2, d(1, 2)), 1), B), C)))))), N))))), L))))))), L)))))), O)))), J)))))), K))))), L))))), M))))), L))))), L))))), N))))), L))))))), L)))))), O)))), P))))))), L)))), d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(E, X))))), L)))), L)))), N)))), L)))))), L))))), O))), P)))), Y)))), Y)))-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, Y))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, J))))), K)))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, X)), J))))), K)))), L)))), Z=d(2, d(1, Y)), F=d(2, d(G, C1)), D1=d(3, d(F, E1)), B1=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, C1))))), L))), Q=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), S=d(d(d(2, d(1, 2)), 1), 3), R=d(d(d(2, d(1, 2)), 1), E), U=d(d(d(2, d(1, 2)), 1), G), V=d(d(d(2, d(1, 2)), 1), H), T=d(d(d(2, d(1, 2)), 1), F), Y=d(d(2, 1), 1), L=d(E, Y), M=d(E, I), N=d(E, d(d(2, d(1, F1)), E1)), E1=d(G, L), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), L)))), N)))), L)), C1=d(d(2, d(1, d(2, d(d(2, d(1, Z)), N)))), L), B=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), L)))))), L))))), O), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(W, N)))), L)))))), L))))), O), F1=d(d(2, d(G, d(d(2, d(1, d(2, E1))), Y))), Y), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(E, B))))), L))), d(d(2, d(1, B1)), d(B, d(d(3, d(3, d(1, G1))), G1))))))), L)), Y), P=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(F1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), Y))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(A1, N)))), L)))))), L)))))), N)))), L))), Y)))))]).
mm_proof(syl3an3br, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, 2)), 1), E), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(F, d(d(d(d(2, d(1, 2)), 1), B), C)))))), K))))), L))))))), L)))))), M)))), N)))))), O))))), L))))), K))))), L))))))), L)))))), M)))), N)))))), O))))), L))))), P))))), L))))), L))))), K))))), L))))))), L)))))), M)))), Q))))))), L)))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(R, d(d(2, d(1, d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, P)))), L)))), L)))), K)))), L)))))), L))))), M))), Q)))))), L))), d(d(2, d(1, d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(R, W))))), L)))), L)))), K)))), L)))))), L))))), M))), Q))), X)))), X)))-[R=d(2, d(1, 1)), T=d(2, d(1, 3)), U=d(2, d(1, d(2, d(1, d(S, X))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, N))))), O)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, W)), N))))), O)))), L)))), Y=d(2, d(1, X)), S=d(2, d(T, B1)), C1=d(3, d(S, D1)), A1=d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, B1))))), L))), D=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), F=d(d(d(2, d(1, 2)), 1), R), I=d(d(d(2, d(1, 2)), 1), T), J=d(d(d(2, d(1, 2)), 1), U), H=d(d(d(2, d(1, 2)), 1), S), X=d(d(2, 1), 1), L=d(R, X), P=d(R, d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(V, K)))), L)))))), L))))), M)), K=d(R, d(d(2, d(1, E1)), D1)), D1=d(T, L), O=d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), L)))), K)))), L)), B1=d(d(2, d(1, d(2, d(d(2, d(1, Y)), K)))), L), B=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, d(3, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), K)))), L)))))), L))))), M), E1=d(d(2, d(T, d(d(2, d(1, d(2, D1))), X))), X), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(R, B))))), L))), d(d(2, d(1, A1)), d(B, d(d(3, d(3, d(1, F1))), F1))))))), L)), X), Q=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), L))), X))), d(3, d(S, d(d(2, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(T, d(U, d(d(2, d(1, d(2, d(Z, K)))), L)))))), L)))))), K)))), L))), X)))))]).
mm_proof(syld3an3, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, d(A, d(d(d(d(2, d(1, 2)), 1), E), F))))), G)))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, d(F, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(K, L)))), G)))))), G))))), M)))))), G)))), G)))), L)))), G)))))), G))))), M))), N)))))), G))), d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, d(F, O))))), G)))), G)))), L)))), G)))))), G))))), M))), N))), P)))), P)))-[F=d(2, d(1, 1)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, P))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, R))))), S)))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O)), R))))), S)))), G)))), Q=d(2, d(1, P)), H=d(2, d(I, V)), W=d(3, d(H, X)), U=d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, V))))), G))), D=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), P=d(d(2, 1), 1), G=d(F, P), L=d(F, d(d(2, d(1, Y)), X)), X=d(I, G), S=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), G)))), L)))), G)), V=d(d(2, d(1, d(2, d(d(2, d(1, Q)), L)))), G), B=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), L)))), G)))))), G))))), M), Y=d(d(2, d(I, d(d(2, d(1, d(2, X))), P))), P), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(F, B))))), G))), d(d(2, d(1, U)), d(B, d(d(3, d(3, d(1, Z))), Z))))))), G)), P), N=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), G))), P))), d(3, d(H, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(T, L)))), G)))))), G)))))), L)))), G))), P)))))]).
mm_proof(syld3an1, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, M)))), L)))), L)))), N)))), L)))))), L))))), O))), P)))))), L))))), R)))), R)))-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, R))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, J))))), K)))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), N)))), L)))))), L))))), O))), J))))), K)))), L)))), S=d(2, d(1, R)), F=d(2, d(G, V)), W=d(3, d(F, X)), U=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, V))))), L))), A=d(d(d(2, d(1, 2)), 1), 2), R=d(d(2, 1), 1), L=d(E, R), M=d(E, I), N=d(E, d(d(2, d(1, Y)), X)), X=d(G, L), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), L)))), N)))), L)), V=d(d(2, d(1, d(2, d(d(2, d(1, S)), N)))), L), B=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Q, N)))), L)))))), L))))), O), Y=d(d(2, d(G, d(d(2, d(1, d(2, X))), R))), R), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(E, B))))), L))), d(d(2, d(1, U)), d(B, d(d(3, d(3, d(1, Z))), Z))))))), L)), R), P=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), L))), R))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(T, N)))), L)))))), L)))))), N)))), L))), R)))))]).
mm_proof(syld3an2, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), L)))), d(E, I))))), L)))), L)))), M)))), L)))))), L))))), N))), O)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(P, d(A, d(d(d(d(2, d(1, 2)), 1), D), E))))), L)))), d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(E, R))))), L)))), L)))), M)))), L)))))), L))))), N))), O)))), S)))), S)))-[E=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, S))))), D=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, J))))), K)))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, R)), J))))), K)))), L)))), T=d(2, d(1, S)), F=d(2, d(G, W)), X=d(3, d(F, Y)), V=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, W))))), L))), P=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), S=d(d(2, 1), 1), L=d(E, S), M=d(E, d(d(2, d(1, Z)), Y)), Y=d(G, L), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), L)))), M)))), L)), W=d(d(2, d(1, d(2, d(d(2, d(1, T)), M)))), L), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M)))), L)))))), L))))), N), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(Q, M)))), L)))))), L))))), N), Z=d(d(2, d(G, d(d(2, d(1, d(2, Y))), S))), S), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(E, B))))), L))), d(d(2, d(1, V)), d(B, d(d(3, d(3, d(1, A1))), A1))))))), L)), S), O=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(Z, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), L))), S))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(U, M)))), L)))))), L)))))), M)))), L))), S)))))]).
mm_proof(syl3anl1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), J)))))), K))))), L)))))), d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), J))))), K)))), L)))), U)))), L)))), L)))), V)))), L)))))), L))))), W))), X)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, U)))), L)))), L)))), V)))), L)))))), L))))), W))), X)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, M)))), V))))), L))))))), L)))))), W)))), J)))))), K))))), L))))), d(M, Z)))))), L))))), L))))), V))))), L))))))), L)))))), W)))), X)))), A1)))), A1))))))))), L)))))), L)))))), V)))))), L)))))))), L))))))), W)-[M=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, A1))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, J))))), K)))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Z)), J))))), K)))), L)))), B1=d(2, d(1, A1)), Q=d(2, d(R, E1)), F1=d(3, d(Q, G1)), D1=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, E1))))), L))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), F=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), S), E=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), A1=d(d(2, 1), 1), L=d(M, A1), U=d(M, T), V=d(M, d(d(2, d(1, H1)), G1)), G1=d(R, L), K=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), L)))), V)))), L)), E1=d(d(2, d(1, d(2, d(d(2, d(1, B1)), V)))), L), N=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), V)))), L)))))), L))))), W), T=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(Y, V)))), L)))))), L))))), W), H1=d(d(2, d(R, d(d(2, d(1, d(2, G1))), A1))), A1), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(M, N))))), L))), d(d(2, d(1, D1)), d(N, d(d(3, d(3, d(1, I1))), I1))))))), L)), A1), X=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(H1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), L))), A1))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(C1, V)))), L)))))), L)))))), V)))), L))), A1)))))]).
mm_proof(syl3anl2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), J)))))), K))))), L)))))), d(M, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, U)), J))))), K)))), L)))), V)))), L)))), L)))), W)))), L)))))), L))))), X))), Y)))))), L)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), P), d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, Q)))), W))))), L))))))), L)))))), X)))), J)))))), K))))), L))))), V))))), L))))), L))))), W))))), L))))))), L)))))), X)))), Y))))))), L)))), d(d(2, d(1, d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Z, d(Q, A1))))), L)))), L)))), W)))), L)))))), L))))), X))), Y)))), B1)))), B1))))))))), L)))))), L)))))), W)))))), L)))))))), L))))))), X)-[Q=d(2, d(1, 1)), S=d(2, d(1, 3)), T=d(2, d(1, d(2, d(1, d(R, B1))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, J))))), K)))), D1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), J))))), K)))), L)))), C1=d(2, d(1, B1)), R=d(2, d(S, F1)), G1=d(3, d(R, H1)), E1=d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, F1))))), L))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M=d(d(d(2, d(1, 2)), 1), Q), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), T), E=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), B1=d(d(2, 1), 1), L=d(Q, B1), V=d(Q, U), W=d(Q, d(d(2, d(1, I1)), H1)), H1=d(S, L), K=d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), L)))), W)))), L)), F1=d(d(2, d(1, d(2, d(d(2, d(1, C1)), W)))), L), N=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), W)))), L)))))), L))))), X), U=d(d(2, d(1, d(3, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(Z, W)))), L)))))), L))))), X), I1=d(d(2, d(S, d(d(2, d(1, d(2, H1))), B1))), B1), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(Q, N))))), L))), d(d(2, d(1, E1)), d(N, d(d(3, d(3, d(1, J1))), J1))))))), L)), B1), Y=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(I1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), L))), B1))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(T, d(d(2, d(1, d(2, d(D1, W)))), L)))))), L)))))), W)))), L))), B1)))))]).
mm_proof(syl3anl3, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), J)))))), K))))), L)))))), d(M, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), P), d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, Q)))), R))))), L))))))), L)))))), S)))), J)))))), K))))), L))))), R))))), L))))))), L)))))), S)))), J)))))), K))))), L))))), T))))), L))))), L))))), R))))), L))))))), L)))))), S)))), U))))))), L)))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, T)))), L)))), L)))), R)))), L)))))), L))))), S))), U)))))), L))), d(d(2, d(1, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, d(Q, Z))))), L)))), L)))), R)))), L)))))), L))))), S))), U))), A1)))), A1))))))))), L)))))), L)))))), R)))))), L)))))))), L))))))), S)-[Q=d(2, d(1, 1)), W=d(2, d(1, 3)), X=d(2, d(1, d(2, d(1, d(V, A1))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, J))))), K)))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Z)), J))))), K)))), L)))), B1=d(2, d(1, A1)), V=d(2, d(W, E1)), F1=d(3, d(V, G1)), D1=d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, E1))))), L))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M=d(d(d(2, d(1, 2)), 1), Q), F=d(d(d(2, d(1, 2)), 1), W), G=d(d(d(2, d(1, 2)), 1), X), E=d(d(d(2, d(1, 2)), 1), V), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), A1=d(d(2, 1), 1), L=d(Q, A1), T=d(Q, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(Y, R)))), L)))))), L))))), S)), R=d(Q, d(d(2, d(1, H1)), G1)), G1=d(W, L), K=d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), L)))), R)))), L)), E1=d(d(2, d(1, d(2, d(d(2, d(1, B1)), R)))), L), N=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), R)))), L)))))), L))))), S), H1=d(d(2, d(W, d(d(2, d(1, d(2, G1))), A1))), A1), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(Q, N))))), L))), d(d(2, d(1, D1)), d(N, d(d(3, d(3, d(1, I1))), I1))))))), L)), A1), U=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(H1, d(d(2, d(1, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), L))), A1))), d(3, d(V, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(C1, R)))), L)))))), L)))))), R)))), L))), A1)))))]).
mm_proof(syl3anl, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, 1)), L)))))), M))))), N)))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), O)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(P, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(R, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(S, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(T, U))))), N))))))), N)))))), V)))), L)))))), M))))), N))))), W))))), N))))), N))))), U))))), N))))))), N)))))), V)))), X))))))), N)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Y, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(S, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(T, W))))), N))))), N))))), U))))), N))))))), N)))))), V)))), X))))))), N))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(T, d(Z, A1)))))), N))))), N))))), U))))), N))))))), N)))))), V)))), X))))), B1)))))), B1))))))))))), N)))))))), N)))))))), U)))))))), N)))))))))), N))))))))), V)-[Z=d(2, d(1, 1)), C1=d(2, d(1, 3)), D1=d(2, d(1, d(2, d(1, d(E1, B1))))), F1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), H1=d(2, d(1, B1)), E1=d(2, d(C1, I1)), J1=d(3, d(E1, K1)), G1=d(3, d(E1, d(d(2, d(1, d(2, d(C1, d(D1, I1))))), N))), K=d(d(d(2, d(1, 2)), 1), 1), J=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), O=d(d(d(2, d(1, 2)), 1), Z), H=d(d(d(2, d(1, 2)), 1), C1), I=d(d(d(2, d(1, 2)), 1), D1), S=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H1, L))))), M))))), G=d(d(d(2, d(1, 2)), 1), E1), Y=d(d(d(2, d(1, 2)), 1), J), B=d(d(d(2, d(1, 2)), 1), A), R=d(d(d(2, d(1, 2)), 1), Y), C=d(d(d(2, d(1, 2)), 1), B), E=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K))), D=d(d(d(2, d(1, 2)), 1), R), T=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(K, d(J, Z)))), U))))), N))))))), N)))))), V)))), L)))))), M))))), N))))), B1=d(d(2, 1), 1), N=d(Z, B1), W=d(Z, d(d(2, d(1, d(3, d(E1, d(d(2, d(1, d(2, d(C1, d(D1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), L))))), M)))), N)))), U)))), N)))))), N))))), V)), U=d(Z, d(d(2, d(1, L1)), K1)), K1=d(C1, N), M=d(C1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), N)))), U)))), N)), I1=d(d(2, d(1, d(2, d(d(2, d(1, H1)), U)))), N), P=d(d(2, d(1, J1)), d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(E1, d(d(2, d(1, d(2, d(C1, d(D1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), U)))), N)))))), N))))), V), L1=d(d(2, d(C1, d(d(2, d(1, d(2, K1))), B1))), B1), Q=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(Z, P))))), N))), d(d(2, d(1, G1)), d(P, d(d(3, d(3, d(1, M1))), M1))))))), N)), B1), X=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(P, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(L1, d(d(2, d(1, d(d(2, d(C1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), N))), B1))), d(3, d(E1, d(d(2, d(C1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(2, d(1, d(2, d(C1, d(D1, d(d(2, d(1, d(2, d(F1, U)))), N)))))), N)))))), U)))), N))), B1)))))]).
mm_proof(syl3anr1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), F))))), G)))), U)))), V)))), U)))), U)))), W)))), U)))))), U))))), X))), Y)))))), U)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Z, V)))), U)))), U)))), W)))), U)))))), U))))), X))), Y)))))), U)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, P)))), W))))), U))))))), U)))))), X)))), F)))))), G))))), U))))), d(P, A1)))))), U))))), U))))), W))))), U))))))), U)))))), X)))), Y)))), B1)))), B1))))))), W))))), U))))))), U)))))), X)))), F)))))), G))))), U))))), W))))), U))))))), U)))))), X)))))))), U))))), A1)))), B1)-[P=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, B1))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, F))))), G)))), D1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), F))))), G)))), U)))), C1=d(2, d(1, B1)), Q=d(2, d(R, F1)), G1=d(3, d(Q, H1)), E1=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, F1))))), U))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), P), K=d(d(d(2, d(1, 2)), 1), R), L=d(d(d(2, d(1, 2)), 1), S), J=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), B1=d(d(2, 1), 1), U=d(P, B1), V=d(P, T), W=d(P, d(d(2, d(1, I1)), H1)), H1=d(R, U), G=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), U)))), W)))), U)), F1=d(d(2, d(1, d(2, d(d(2, d(1, C1)), W)))), U), M=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), W)))), U)))))), U))))), X), T=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(Z, W)))), U)))))), U))))), X), I1=d(d(2, d(R, d(d(2, d(1, d(2, H1))), B1))), B1), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(P, M))))), U))), d(d(2, d(1, E1)), d(M, d(d(3, d(3, d(1, J1))), J1))))))), U)), B1), Y=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(I1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), U))), B1))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(D1, W)))), U)))))), U)))))), W)))), U))), B1)))))]).
mm_proof(syl3anr2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), F))))), G)))), U)))), V)))), U)))), U)))), W)))), U)))))), U))))), X))), Y)))))), U)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), O), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, P)))), W))))), U))))))), U)))))), X)))), F)))))), G))))), U))))), V))))), U))))), U))))), W))))), U))))))), U)))))), X)))), Y))))))), U)))), d(d(2, d(1, d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Z, d(P, A1))))), U)))), U)))), W)))), U)))))), U))))), X))), Y)))), B1)))), B1))))))), W))))), U))))))), U)))))), X)))), F)))))), G))))), U))))), W))))), U))))))), U)))))), X)))))))), U))))), A1)))), B1)-[P=d(2, d(1, 1)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, B1))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, F))))), G)))), D1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), F))))), G)))), U)))), C1=d(2, d(1, B1)), Q=d(2, d(R, F1)), G1=d(3, d(Q, H1)), E1=d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, F1))))), U))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), P), K=d(d(d(2, d(1, 2)), 1), R), L=d(d(d(2, d(1, 2)), 1), S), J=d(d(d(2, d(1, 2)), 1), Q), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), B1=d(d(2, 1), 1), U=d(P, B1), V=d(P, T), W=d(P, d(d(2, d(1, I1)), H1)), H1=d(R, U), G=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), U)))), W)))), U)), F1=d(d(2, d(1, d(2, d(d(2, d(1, C1)), W)))), U), M=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), W)))), U)))))), U))))), X), T=d(d(2, d(1, d(3, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(Z, W)))), U)))))), U))))), X), I1=d(d(2, d(R, d(d(2, d(1, d(2, H1))), B1))), B1), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(P, M))))), U))), d(d(2, d(1, E1)), d(M, d(d(3, d(3, d(1, J1))), J1))))))), U)), B1), Y=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(I1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), U))), B1))), d(3, d(Q, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(D1, W)))), U)))))), U)))))), W)))), U))), B1)))))]).
mm_proof(syl3anr3, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), F)))))), G)))))), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), O), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, P)))), Q))))), R))))))), R)))))), S)))), F)))))), G))))), R))))), Q))))), R))))))), R)))))), S)))), F)))))), G))))), R))))), T))))), R))))), R))))), Q))))), R))))))), R)))))), S)))), U))))))), R)))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, T)))), R)))), R)))), Q)))), R)))))), R))))), S))), U)))))), R))), d(d(2, d(1, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, d(P, Z))))), R)))), R)))), Q)))), R)))))), R))))), S))), U))), A1)))), A1))))))), Q))))), R))))))), R)))))), S)))), F)))))), G))))), R))))), Q))))), R))))))), R)))))), S)))))))), R))))), Z)))), A1)-[P=d(2, d(1, 1)), W=d(2, d(1, 3)), X=d(2, d(1, d(2, d(1, d(V, A1))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, F))))), G)))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G)))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Z)), F))))), G)))), R)))), B1=d(2, d(1, A1)), V=d(2, d(W, E1)), F1=d(3, d(V, G1)), D1=d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, E1))))), R))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), P), K=d(d(d(2, d(1, 2)), 1), W), L=d(d(d(2, d(1, 2)), 1), X), J=d(d(d(2, d(1, 2)), 1), V), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), A1=d(d(2, 1), 1), R=d(P, A1), T=d(P, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(Y, Q)))), R)))))), R))))), S)), Q=d(P, d(d(2, d(1, H1)), G1)), G1=d(W, R), G=d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), R)))), Q)))), R)), E1=d(d(2, d(1, d(2, d(d(2, d(1, B1)), Q)))), R), M=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Q)))), R)))))), R))))), S), H1=d(d(2, d(W, d(d(2, d(1, d(2, G1))), A1))), A1), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(P, M))))), R))), d(d(2, d(1, D1)), d(M, d(d(3, d(3, d(1, I1))), I1))))))), R)), A1), U=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F=d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(H1, d(d(2, d(1, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), R))), A1))), d(3, d(V, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(C1, Q)))), R)))))), R)))))), Q)))), R))), A1)))))]).
mm_proof(syl2an3an, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, 1))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, M))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(N, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(R, S))))), T))))))), T)))))), U)))), V)))))), W))))), T))))), X))))), T))))), T))))), S))))), T))))))), T)))))), U)))), Y))))))), T)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Z, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(R, X))))), T))))), T))))), S))))), T))))))), T)))))), U)))), Y))))))), T))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(R, d(A1, B1)))))), T))))), T))))), S))))), T))))))), T)))))), U)))), Y))))), C1)))))), C1))))))))), M))))))), V))))))))), W))))))), V))))))))), W)))))))))), T)))))))))), T)))))))), S)))))))), T)))))))))), T))))))))), U)))))))), T)))))))), T)))))), B1)-[A1=d(2, d(1, 1)), D1=d(2, d(1, 2)), E1=d(2, d(1, 3)), F1=d(2, d(1, d(2, d(1, d(G1, C1))))), H1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), J1=d(2, d(1, C1)), G1=d(2, d(E1, K1)), L1=d(3, d(G1, M1)), I1=d(3, d(G1, d(d(2, d(1, d(2, d(E1, d(F1, K1))))), T))), O=d(d(d(2, d(1, 2)), 1), 1), L=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), Q=d(d(d(2, d(1, 2)), 1), A1), H=d(d(d(2, d(1, 2)), 1), E1), I=d(d(d(2, d(1, 2)), 1), F1), P=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J1, V))))), W))))), G=d(d(d(2, d(1, 2)), 1), G1), Z=d(d(d(2, d(1, 2)), 1), L), B=d(d(d(2, d(1, 2)), 1), A), N=d(d(d(2, d(1, 2)), 1), Z), C=d(d(d(2, d(1, 2)), 1), B), E=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), O))), D=d(d(d(2, d(1, 2)), 1), N), K=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Q))), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(D1, d(d(2, d(1, d(2, d(1, d(D1, T))))), d(1, N1)))))))), R=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(O, d(L, A1)))), S))))), T))))))), T)))))), U)))), V)))))), W))))), T))))), C1=d(d(2, 1), 1), T=d(A1, C1), X=d(A1, d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(E1, d(F1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, B1)), V))))), W)))), T)))), S)))), T)))))), T))))), U)), S=d(A1, d(d(2, d(1, O1)), M1)), M1=d(E1, T), W=d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), S)))), T)), N1=d(d(2, d(1, d(2, C1))), T), K1=d(d(2, d(1, d(2, d(d(2, d(1, J1)), S)))), T), P1=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(E1, d(F1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), S)))), T)))))), T))))), U), O1=d(d(2, d(E1, d(d(2, d(1, d(2, M1))), C1))), C1), Q1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(A1, P1))))), T))), d(d(2, d(1, I1)), d(P1, d(d(3, d(3, d(1, R1))), R1))))))), T)), C1), Y=d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(P1, d(Q1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(P1, d(Q1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R1=d(O1, d(d(2, d(1, d(d(2, d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), T))), C1))), d(3, d(G1, d(d(2, d(E1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(2, d(1, d(2, d(E1, d(F1, d(d(2, d(1, d(2, d(H1, S)))), T)))))), T)))))), S)))), T))), C1)))))]).
mm_proof('3ori', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(d(d(d(2, d(1, 2)), 1), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(d(2, d(1, d(A, d(B, E)))), d(A, d(B, D)))))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, C))), L=d(2, d(1, A)), M=d(2, d(1, d(A, N))), O=d(2, d(1, d(A, d(d(C, B), B)))), P=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, Q))))), d(1, R)))), S=d(2, d(H, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(H, d(I, T))))), Q))), X=d(d(2, 1), 1), Y=d(F, 1), Q=d(F, X), Z=d(F, A1), V=d(H, Q), C=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), A=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(A, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(H, d(d(2, d(1, d(2, V))), X))), X), J=d(S, X), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, A))))), Q))), B1)))), Q)), X), E1=d(A, d(B, F1)), G1=d(A, d(B, H1)), I1=d(A, J1), K1=d(A, F1), L1=d(A, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, M1))))))), Q))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(O, M1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, X))))))), Q))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(O, X))))), Q)))), Q)))))), Q)), X))), N1=d(A, H1), C1=d(D1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), D=d(B, d(d(C, d(d(2, d(1, d(A, O1))), I1)), d(M, d(A, d(B, O1))))), N=d(B, J1), E=d(B, d(L1, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), P1=d(d(C, d(d(2, d(1, d(A, Q1))), I1)), d(M, d(A, d(B, Q1)))), J1=d(d(C, J), A1), F1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, B1)))))))), Q))), d(G, L))))), Q)), X)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, C)))), d(P, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), Y)))), Q)))))), d(P, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), M1=d(E1, d(d(C, d(d(2, d(1, N1)), d(A, R1))), d(d(2, d(1, d(A, d(B, R1)))), G1))), S1=d(K1, d(1, N)), H1=d(K1, d(1, J1)), T1=d(K1, X), R1=d(K1, d(E1, d(d(C, d(d(2, d(1, d(A, T1))), d(A, S1))), d(d(2, d(1, d(A, d(B, S1)))), d(A, d(B, T1)))))), Q1=d(L1, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(L1, d(B, d(d(C, d(d(2, d(1, d(A, P1))), N1)), d(d(2, d(1, G1)), d(A, d(B, P1))))))]).
mm_proof('3jao', d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, E))))), F))), d(G, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), F)))), I)))), E)))))), E))))), J)))), I)))), E)))))), E))))), J))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, K))))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), A=d(2, d(B, Q)), R=d(3, d(A, M)), O=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Q))))), E))), K=d(d(2, 1), 1), E=d(G, K), I=d(G, d(d(2, d(1, S)), M)), M=d(B, E), P=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), E)))), I)))), E)), F=d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(B, d(L, d(d(2, d(D, d(G, d(1, d(d(2, d(1, d(2, T))), E))))), d(B, d(C, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, T)), U))))), P)))), E)))), I)))), E)))))), E))))), J)))), E))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), K)))), E))), U))))), P), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), I)))), E), H=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), I)))), E)))))), E))))), J), S=d(d(2, d(B, d(L, K))), K), J=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, H))))), E))), d(d(2, d(1, O)), d(H, d(d(3, d(3, d(1, V))), V))))))), E)), K), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), E))), K))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(N, I)))), E)))))), E)))))), I)))), E))), K)))))]).
mm_proof('3jaoi', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, E))))), F))), d(G, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), F)))), I)))), E)))))), E))))), J)))), I)))), E)))))), E))))), J))), K)))), d(L, d(M, d(d(2, d(N, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(R, d(L, S))))), K)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), d(L, d(M, S)))))))-[U=d(1, V), G=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, W))))), X=d(2, d(1, d(2, Y))), Z=d(2, d(1, d(2, A1))), B1=d(2, d(1, W)), A=d(2, d(B, C1)), D1=d(3, d(A, Y)), E1=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, C1))))), E))), P=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), N=d(d(d(2, d(1, 2)), 1), 2), R=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 1)), Q=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 2)), O=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A1)), L=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H)), M=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), T)), W=d(d(2, 1), 1), E=d(G, W), I=d(G, d(d(2, d(1, F1)), Y)), Y=d(B, E), G1=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), E)))), I)))), E)), H1=d(d(2, d(1, d(2, d(1, d(B1, I1))))), G1), F=d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(B, d(X, d(d(2, d(D, d(G, d(1, d(d(2, d(1, d(2, V))), E))))), d(B, d(C, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, U), I1))))), G1)))), E)))), I)))), E)))))), E))))), J)))), E))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), W)))), E))), I1))))), G1), A1=d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1), C1=d(d(2, d(1, d(2, d(d(2, d(1, B1)), I)))), E), J1=d(d(2, d(1, d(2, H1))), E), H=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), I)))), E)))))), E))))), J), K1=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), I)))), E)))))), E))))), J), F1=d(d(2, d(B, d(X, W))), W), T=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(G, H))))), E))), d(d(2, d(1, E1)), d(H, d(d(3, d(3, d(1, L1))), L1))))))), E)), W), M1=d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(G, U))))), E))), J1)))), E)), W))), H1), S=d(M, d(d(2, d(N, d(O, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, N1))))), d(L, M1))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(Q, d(R, d(L, d(M, M1)))))), d(H, d(T, N1))))), K=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(H, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(F1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), E))), W))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(Z, I)))), E)))))), E)))))), I)))), E))), W))))), N1=d(T, d(d(A1, K1), K1))]).
mm_proof('3jaod', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, E))))), F))), d(G, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), F)))), I)))), E)))))), E))))), J)))), I)))), E)))))), E))))), J))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(d(d(d(2, d(1, 2)), 1), L), d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), N)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(M, N))), O)))))), O)))-[G=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), U=d(2, d(1, O)), A=d(2, d(B, V)), W=d(3, d(A, Q)), S=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, V))))), E))), X=d(d(d(2, d(1, 2)), 1), 1), Y=d(d(d(2, d(1, 2)), 1), 2), L=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M=d(d(d(2, d(1, 2)), 1), Y), N=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(Y, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(Y, d(X, d(Y, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, Z))))), T))))), G))))), E)))), O=d(d(2, 1), 1), E=d(G, O), I=d(G, d(d(2, d(1, A1)), Q)), Q=d(B, E), T=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), E)))), I)))), E)), F=d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(B, d(P, d(d(2, d(D, d(G, d(1, d(d(2, d(1, d(2, B1))), E))))), d(B, d(C, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, B1)), Z))))), T)))), E)))), I)))), E)))))), E))))), J)))), E))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O)))), E))), Z))))), T), V=d(d(2, d(1, d(2, d(d(2, d(1, U)), I)))), E), H=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), I)))), E)))))), E))))), J), A1=d(d(2, d(B, d(P, O))), O), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, H))))), E))), d(d(2, d(1, S)), d(H, d(d(3, d(3, d(1, C1))), C1))))))), E)), O), J=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(H, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(A1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), E))), O))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(R, I)))), E)))))), E)))))), I)))), E))), O)))))]).
mm_proof('3jaoian', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, I))))), J))), d(K, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J)))), M)))), I)))))), I))))), N)))), M)))), I)))))), I))))), N))), O)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), P), d(Q, d(R, d(d(2, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(U, d(V, d(Q, W))))), O)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(L, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), d(Q, d(R, W))))))))), Y)))))))), M))))))), I))))))))), I)))))))), N)-[Z=d(1, A1), K=d(2, d(1, 1)), H=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, B1))))), C1=d(2, d(1, d(2, D1))), E1=d(2, d(1, d(2, F1))), G1=d(2, d(1, B1)), E=d(2, d(F, H1)), I1=d(3, d(E, D1)), J1=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, H1))))), I))), K1=d(d(d(2, d(1, 2)), 1), 1), L1=d(d(d(2, d(1, 2)), 1), 2), P=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), S=d(d(d(2, d(1, 2)), 1), 2), V=d(d(d(2, d(1, 2)), 1), K1), U=d(d(d(2, d(1, 2)), 1), L1), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), V), C=d(d(d(2, d(1, 2)), 1), U), T=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F1)), Q=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L)), R=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), X)), B1=d(d(2, 1), 1), I=d(K, B1), M=d(K, d(d(2, d(1, M1)), D1)), D1=d(F, I), N1=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), I)))), M)))), I)), O1=d(d(2, d(1, d(2, d(1, d(G1, P1))))), N1), J=d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(F, d(C1, d(d(2, d(H, d(K, d(1, d(d(2, d(1, d(2, A1))), I))))), d(F, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, Z), P1))))), N1)))), I)))), M)))), I)))))), I))))), N)))), I))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), B1)))), I))), P1))))), N1), F1=d(d(2, d(1, d(2, d(1, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N1), H1=d(d(2, d(1, d(2, d(d(2, d(1, G1)), M)))), I), Q1=d(d(2, d(1, d(2, O1))), I), L=d(d(2, d(1, I1)), d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), M)))), I)))))), I))))), N), R1=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q1))), M)))), I)))))), I))))), N), M1=d(d(2, d(F, d(C1, B1))), B1), X=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(K, L))))), I))), d(d(2, d(1, J1)), d(L, d(d(3, d(3, d(1, S1))), S1))))))), I)), B1), T1=d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(K, Z))))), I))), Q1)))), I)), B1))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(P, d(d(d(d(2, d(1, 2)), 1), O1), Y))), Y)), W=d(R, d(d(2, d(S, d(T, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(L, U1))))), d(Q, T1))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(U, d(V, d(Q, d(R, T1)))))), d(L, d(X, U1))))), Y=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L1, d(K1, d(L1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L1, 1)), P1)))))), N1), O=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P1=d(L, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(M1, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), I))), B1))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(E1, M)))), I)))))), I)))))), M)))), I))), B1))))), U1=d(X, d(d(F1, R1), R1))]).
mm_proof('3jaodan', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, I))))), J))), d(K, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J)))), M)))), I)))))), I))))), N)))), M)))), I)))))), I))))), N))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(L, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), P), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(Q, d(P, R)))), S)))))), S))))))))), M))))))), I))))))))), I)))))))), N)-[K=d(2, d(1, 1)), H=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, S))))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Y=d(2, d(1, S)), E=d(2, d(F, Z)), A1=d(3, d(E, U)), W=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, Z))))), I))), B1=d(d(d(2, d(1, 2)), 1), 1), C1=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), Q=d(d(d(2, d(1, 2)), 1), C1), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B1)), C=d(d(d(2, d(1, 2)), 1), Q), P=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C1, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C1, d(B1, d(C1, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, D1))))), X))))), d(d(d(d(2, d(1, 2)), 1), K), R)))))), I))))), S=d(d(2, 1), 1), I=d(K, S), M=d(K, d(d(2, d(1, E1)), U)), U=d(F, I), X=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), I)))), M)))), I)), J=d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(F, d(T, d(d(2, d(H, d(K, d(1, d(d(2, d(1, d(2, F1))), I))))), d(F, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, F1)), D1))))), X)))), I)))), M)))), I)))))), I))))), N)))), I))))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), S)))), I))), D1))))), X), Z=d(d(2, d(1, d(2, d(d(2, d(1, Y)), M)))), I), L=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), M)))), I)))))), I))))), N), E1=d(d(2, d(F, d(T, S))), S), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, L))))), I))), d(d(2, d(1, W)), d(L, d(d(3, d(3, d(1, G1))), G1))))))), I)), S), R=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C1, d(B1, d(C1, d(B1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C1, 1)), D1)))))), X), N=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D1=d(L, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(E1, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), I))), S))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(V, M)))), I)))))), I)))))), M)))), I))), S)))))]).
mm_proof(mpjao3dan, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)))), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(F, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(F, d(G, d(F, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(F, d(G, d(F, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, L))))), M))), d(N, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), M)))), P)))), L)))))), L))))), Q)))), P)))), L)))))), L))))), Q))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(O, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(F, d(d(d(d(2, d(1, 2)), 1), S), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(T, d(S, U)))), V)))))), V))))))))), P))))))), L))))))))), L)))))))), Q)))))), W)))))))), X)))))))), N)))))))), L))))))), V)))))), V)-[N=d(2, d(1, 1)), K=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, V))))), Y=d(2, d(1, d(2, Z))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), C1=d(2, d(1, V)), H=d(2, d(I, D1)), E1=d(3, d(H, Z)), B1=d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, D1))))), L))), F1=d(d(d(2, d(1, 2)), 1), 1), G1=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), T=d(d(d(2, d(1, 2)), 1), G1), B=d(d(d(2, d(1, 2)), 1), A), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F1)), F=d(d(d(2, d(1, 2)), 1), T), C=d(d(d(2, d(1, 2)), 1), B), E=d(d(d(2, d(1, 2)), 1), G), D=d(d(d(2, d(1, 2)), 1), F), S=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G1, d(F1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G1, d(F1, d(G1, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, W))))), X))))), d(d(d(d(2, d(1, 2)), 1), N), U)))))), L))))), V=d(d(2, 1), 1), L=d(N, V), P=d(N, d(d(2, d(1, H1)), Z)), Z=d(I, L), X=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), L)))), P)))), L)), M=d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(I, d(Y, d(d(2, d(K, d(N, d(1, d(d(2, d(1, d(2, I1))), L))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I1)), W))))), X)))), L)))), P)))), L)))))), L))))), Q)))), L))))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), V)))), L))), W))))), X), D1=d(d(2, d(1, d(2, d(d(2, d(1, C1)), P)))), L), O=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, d(3, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), P)))), L)))))), L))))), Q), H1=d(d(2, d(I, d(Y, V))), V), R=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, O))))), L))), d(d(2, d(1, B1)), d(O, d(d(3, d(3, d(1, J1))), J1))))))), L)), V), U=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G1, d(F1, d(G1, d(F1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G1, 1)), W)))))), X), Q=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(O, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(H1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), L))), V))), d(3, d(H, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(A1, P)))), L)))))), L)))))), P)))), L))), V)))))]).
mm_proof('3jaao', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, E))))), F))), d(G, d(1, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), F)))), I)))), E)))))), E))))), J)))), I)))), E)))))), E))))), J))), K)))))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(H, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(M, d(d(d(d(2, d(1, 2)), 1), M), d(d(d(d(2, d(1, 2)), 1), N), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(W, I))))), E))))))), E)))))), J)))), X)))))), Y))))), E))))), Z))))), E))))), E))))), I))))), E))))))), E)))))), J)))), K))))))), E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(M, d(N, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(W, Z))))), E))))), E))))), I))))), E))))))), E)))))), J)))), K))))))), E))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(W, d(G, A1)))))), E))))), E))))), I))))), E))))))), E)))))), J)))), K))))), B1)))))), B1)))-[G=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, d(A, B1))))), C1=d(2, d(1, d(2, D1))), E1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), G1=d(2, d(1, B1)), A=d(2, d(B, H1)), I1=d(3, d(A, D1)), F1=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, H1))))), E))), P=d(d(d(2, d(1, 2)), 1), 1), O=d(d(d(2, d(1, 2)), 1), 2), S=d(d(d(2, d(1, 2)), 1), 3), M=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), R=d(d(d(2, d(1, 2)), 1), G), U=d(d(d(2, d(1, 2)), 1), B), V=d(d(d(2, d(1, 2)), 1), C), Q=d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, X))))), Y))))), T=d(d(d(2, d(1, 2)), 1), A), N=d(d(d(2, d(1, 2)), 1), O), W=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, G)))), I))))), E))))))), E)))))), J)))), X)))))), Y))))), E))))), B1=d(d(2, 1), 1), E=d(G, B1), Z=d(G, J1), I=d(G, d(d(2, d(1, K1)), D1)), D1=d(B, E), Y=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), E)))), I)))), E)), F=d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(B, d(C1, d(d(2, d(D, d(G, d(1, d(d(2, d(1, d(2, A1))), E))))), d(B, d(C, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, J1))), E))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), B1)))), E))), X))))), Y), H1=d(d(2, d(1, d(2, d(d(2, d(1, G1)), I)))), E), H=d(d(2, d(1, I1)), d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), I)))), E)))))), E))))), J), J1=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), X))))), Y)))), E)))), I)))), E)))))), E))))), J), K1=d(d(2, d(B, d(C1, B1))), B1), L=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(G, H))))), E))), d(d(2, d(1, F1)), d(H, d(d(3, d(3, d(1, L1))), L1))))))), E)), B1), K=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(H, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(K1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I)))), E))), B1))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(E1, I)))), E)))))), E)))))), I)))), E))), B1)))))]).
mm_proof(syl3an9b, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(2, d(E, d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(H, I)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), J), d(B, d(C, d(H, d(d(d(d(2, d(1, 2)), 1), K), I))))))), L)))))))), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, S))))), T=d(2, d(1, d(2, U))), V=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, W))))), d(1, X)))), R=d(2, d(P, Y)), Z=d(3, d(R, A1)), B1=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, Y))))), W))), C1=d(d(d(2, d(1, 2)), 1), 1), D1=d(d(d(2, d(1, 2)), 1), 2), E1=d(d(d(2, d(1, 2)), 1), 3), J=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), E=d(d(d(2, d(1, 2)), 1), 2), F1=d(d(d(2, d(1, 2)), 1), P), G1=d(d(d(2, d(1, 2)), 1), Q), H1=d(d(d(2, d(1, 2)), 1), R), C=d(d(d(2, d(1, 2)), 1), C1), B=d(d(d(2, d(1, 2)), 1), D1), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), U)), H=d(d(d(2, d(1, 2)), 1), I1), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(M, d(J1, K1)))), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(I1, L1))))), I1=d(d(d(2, d(1, 2)), 1), M), K=d(d(d(2, d(1, 2)), 1), J1), M1=d(d(d(2, d(1, 2)), 1), d(M, K1)), S=d(d(2, 1), 1), N1=d(N, 1), W=d(N, S), O1=d(N, d(d(2, d(1, P1)), A1)), A1=d(P, W), Q1=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), O1)))), W)), U=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q1), X=d(d(2, d(1, d(2, S))), W), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), O1)))), W), M=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R1=d(d(2, d(1, B1)), d(M, d(d(3, d(3, d(1, S1))), S1))), P1=d(d(2, d(P, d(d(2, d(1, d(2, A1))), S))), S), J1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(N, M))))), W))), R1)))), W)), S), I=d(d(d(d(2, d(1, 2)), 1), M1), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), E1), d(d(d(d(2, d(1, 2)), 1), H1), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F1), d(d(d(d(2, d(1, 2)), 1), G1), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), N)), d(D, d(d(2, d(E, d(F, d(G, d(I1, T1))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(J, d(D1, d(C1, d(I1, d(K, T1)))))), L))))))))), O1)))))), W)))))))), W))))))), U1)), L=d(I1, d(K, L1)), T1=d(M1, V1), L1=d(M1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(E1, d(H1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(D1, d(F1, d(G1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(D1, d(C1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, V1))), d(M, d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Q1))))), W))))), O1))))), W))))))), W)))))), U1)), V1=d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(E1, d(H1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(D1, d(F1, d(G1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(D1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D1, d(C1, d(D1, N)))), O1))))), W))))))), W)))))), U1), U1=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(P1, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O1)))), W))), S))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(T, O1)))), W)))))), W)))))), O1)))), W))), S))))), K1=d(d(U, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(N, d(O, d(2, d(1, R1)))))))), W))), d(O, d(2, d(1, M))))))), W)), S)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, U)))), d(V, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N1)))), W)))))), d(V, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R1))), N1)))), W)))))]).
mm_proof('3anim123d', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, 2)), 1), H), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, 2)), 1), J), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), M)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(N, d(O, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(N, d(O, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(N, d(O, d(N, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(N, d(O, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(N, d(O, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(N, d(O, d(N, d(P, d(Q, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(N, d(O, d(N, d(P, d(Q, M))))))), R)))))))), R)))))), S)))))), R)))))))), R))))))), T)))))), R)))))))))), R))))))))), R))))))), S))))))), R))))))))), R)))))))), T))))))), R))))))), d(U, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), R))-[U=d(2, d(1, 1)), V=d(2, d(1, 2)), W=d(2, d(1, 3)), X=d(2, d(1, d(2, d(1, Y)))), Z=d(2, d(1, d(2, d(1, d(A1, Y))))), B1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), E1=d(2, d(V, d(d(2, d(1, d(2, d(1, d(V, R))))), d(1, F1)))), A1=d(2, d(W, G1)), H1=d(3, d(A1, I1)), C1=d(3, d(A1, d(d(2, d(1, d(2, d(W, d(Z, G1))))), R))), J1=d(d(d(2, d(1, 2)), 1), 1), K1=d(d(d(2, d(1, 2)), 1), 2), L1=d(d(d(2, d(1, 2)), 1), 3), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M1=d(d(d(2, d(1, 2)), 1), U), N1=d(d(d(2, d(1, 2)), 1), W), O1=d(d(d(2, d(1, 2)), 1), Z), P1=d(d(d(2, d(1, 2)), 1), E1), Q1=d(d(d(2, d(1, 2)), 1), A1), O=d(d(d(2, d(1, 2)), 1), J1), N=d(d(d(2, d(1, 2)), 1), K1), G=d(d(d(2, d(1, 2)), 1), L1), D=d(d(d(2, d(1, 2)), 1), C), Q=d(d(d(2, d(1, 2)), 1), M1), I=d(d(d(2, d(1, 2)), 1), N1), J=d(d(d(2, d(1, 2)), 1), O1), P=d(d(d(2, d(1, 2)), 1), P1), H=d(d(d(2, d(1, 2)), 1), Q1), F=d(d(d(2, d(1, 2)), 1), O), E=d(d(d(2, d(1, 2)), 1), N), L=d(d(d(2, d(1, 2)), 1), Q), K=d(d(d(2, d(1, 2)), 1), P), M=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(d(d(d(2, d(1, 2)), 1), V), d(M1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(P1, d(M1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(J1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(L1, d(Q1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(N1, d(O1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(P1, d(M1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(P1, d(M1, d(P1, d(M1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(P1, d(M1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(J1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(L1, d(Q1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(N1, d(O1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(P1, d(M1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K1, d(J1, d(K1, d(P1, d(M1, d(2, d(V, d(U, d(d(2, d(1, d(2, d(E1, d(U, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(W, d(Z, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E1, d(U, d(d(2, d(1, d(2, d(E1, d(U, d(E1, d(U, d(d(2, d(1, d(2, d(E1, d(U, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(X, R))), R1))))), D1)))))), R)))))))), R)))))), R)))), S)))), R)))))), R))))), T)))), R)))), R))), R1))))), D1)))))), R)))))))))), R))))))), R))))), S))))), R))))))), R)))))), T))))), R))))), R)))), R1)))))), D1))))))), R))))))))), R))))))), R))))), S))))), R))))))), R)))))), T))))), R))))), R)))), R1)))))), D1))))))), R))))), Y=d(d(2, 1), 1), R=d(U, Y), S=d(U, d(d(2, d(1, S1)), I1)), I1=d(W, R), D1=d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), S)))), R)), F1=d(d(2, d(1, d(2, Y))), R), G1=d(d(2, d(1, d(2, d(X, S)))), R), A=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(d(2, d(W, d(d(2, d(1, d(2, I1))), Y))), Y), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(U, A))))), R))), d(d(2, d(1, C1)), d(A, d(d(3, d(3, d(1, T1))), T1))))))), R)), Y), T=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R1=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T1=d(S1, d(d(2, d(1, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), R))), Y))), d(3, d(A1, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(W, d(Z, d(d(2, d(1, d(2, d(B1, S)))), R)))))), R)))))), S)))), R))), Y)))))]).
mm_proof('3orim123d', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(H, G))), I)))))), I))))))), d(J, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), K))-[J=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, I))))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), T=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), N=d(2, d(L, U)), V=d(3, d(N, P)), R=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, U))))), K))), W=d(d(d(2, d(1, 2)), 1), 1), X=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), H=d(d(d(2, d(1, 2)), 1), X), D=d(d(d(2, d(1, 2)), 1), C), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), W)), E=d(d(d(2, d(1, 2)), 1), H), G=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(X, d(W, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(X, d(W, d(X, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(L, d(O, d(d(2, d(d(2, d(1, 2)), d(J, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(2, d(1, d(T, d(O, K)))))))), Y)))), K)))))), K))))), Z)))), K))))), d(L, d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J, d(2, d(1, d(T, 1))))))), Y)))), K)))))), K))))), Z))), A1))))), S)))), K)))), Y)))), K)))))), K))))), Z)))), K))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I)))), K))), A1))))), S))))), J))))), K)))), I=d(d(2, 1), 1), K=d(J, I), Y=d(J, d(d(2, d(1, B1)), P)), P=d(L, K), S=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), K)))), Y)))), K)), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), Y)))), K), A=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(L, d(O, I))), I), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, A))))), K))), d(d(2, d(1, R)), d(A, d(d(3, d(3, d(1, C1))), C1))))))), K)), I), Z=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A1=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(B1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), K))), I))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(Q, Y)))), K)))))), K)))))), Y)))), K))), I)))))]).
mm_proof(an6, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, M)), N=d(2, d(1, B)), O=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, d(E, T)))), U=d(2, d(1, d(B, d(E, V)))), W=d(2, d(1, X)), Y=d(2, d(1, Z)), A1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, B1))))), d(1, C1)))), D1=d(2, d(H, E1)), F1=d(3, d(D1, G1)), H1=d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, E1))))), B1))), M=d(d(2, 1), 1), I1=d(F, 1), B1=d(F, M), J1=d(F, K1), G1=d(H, B1), L1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), J1)))), B1)), M1=d(d(2, d(1, d(2, d(1, d(L, N1))))), L1), A=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1), C1=d(d(2, d(1, d(2, M))), B1), E1=d(d(2, d(1, d(2, d(d(2, d(1, L)), J1)))), B1), O1=d(d(2, d(1, d(2, M1))), B1), B=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(1, H1)), d(B, d(d(3, d(3, d(1, Q1))), Q1))), R1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), J1)))), B1)))))), B1))))), S1), K1=d(d(2, d(1, T1)), G1), T1=d(d(2, d(H, d(d(2, d(1, d(2, G1))), M))), M), J=d(D1, M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), B1))), P1)))), B1)), M), S1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(B, U1), V1=d(B, d(E, P)), W1=d(B, d(E, R)), X1=d(B, d(E, Y1)), Z1=d(B, d(E, A2)), X=d(B, d(E, B2)), C2=d(B, D2), E2=d(B, d(d(A, d(d(2, d(1, d(B, F2))), d(B, G2))), d(d(2, d(1, d(B, d(E, G2)))), d(B, d(E, F2))))), H2=d(B, Y1), Z=d(B, A2), I2=d(B, T), J2=d(B, V), K2=d(B, B2), Q1=d(T1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), B1))), M))), d(3, d(D1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, J1)))), B1)))))), B1)))))), J1)))), B1))), M))))), L2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(E, D2), R=d(E, M2), F2=d(E, d(d(A, d(d(2, d(1, d(B, N2))), I2)), d(S, d(B, d(E, N2))))), D2=d(d(A, R1), R1), M2=d(d(A, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O1)), N1))))), L1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), J1)))), B1)))))), B1))))), S1)), d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(F, d(d(2, d(1, d(2, d(A1, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), N1))))), L1)))))), B1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), B1)))), J1)))), B1)))))), B1))))), S1)), C=d(d(A, d(d(2, d(1, d(B, L2))), d(B, O2))), d(d(2, d(1, d(B, d(E, O2)))), d(B, d(E, L2)))), P2=d(d(A, d(O, J2)), d(U, V1)), Q2=d(d(A, d(O, d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), V1)), S2=d(d(A, d(Q, d(B, T2))), d(d(2, d(1, d(B, d(E, T2)))), W1)), U2=d(d(A, d(Q, d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), W1)), W2=d(d(A, d(d(2, d(1, d(B, P2))), C2)), d(O, d(B, d(E, P2)))), X2=d(d(A, d(d(2, d(1, d(B, Q2))), C2)), d(O, d(B, d(E, Q2)))), Y2=d(d(A, d(d(2, d(1, d(B, U2))), d(B, M2))), d(Q, d(B, d(E, U2)))), D=d(d(A, d(d(2, d(1, d(B, W2))), J2)), d(U, d(B, d(E, W2)))), O2=d(d(A, d(d(2, d(1, d(B, X2))), d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), d(B, d(E, X2)))), G2=d(d(A, d(d(2, d(1, d(B, Z2))), d(B, A3))), d(d(2, d(1, d(B, d(E, A3)))), d(B, d(E, Z2)))), N2=d(d(A, d(d(2, d(1, d(B, B3))), Z)), d(d(2, d(1, Z1)), d(B, d(E, B3)))), Z2=d(d(A, d(d(2, d(1, d(B, C3))), H2)), d(d(2, d(1, X1)), d(B, d(E, C3)))), B3=d(d(A, d(Y, I2)), d(S, Z1)), D3=d(d(A, J), K1), Y1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, P1)))))))), B1))), d(G, N))))), B1)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(A1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), I1)))), B1)))))), d(A1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P1))), I1)))), B1))))), C3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, E3))))))), B1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(Y, E3))))), B1)))), B1)))))), B1)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), B1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(Y, M))))), B1)))), B1)))))), B1)), M)), A2=d(d(A, E), E), T=d(d(A, d(X1, d(d(A, d(d(2, d(1, d(B, F3))), K2)), d(W, d(B, d(E, F3)))))), d(X1, d(d(A, d(d(2, d(1, d(B, G3))), K2)), d(W, d(B, d(E, G3)))))), E3=d(X1, d(d(A, d(d(2, d(1, d(B, H3))), d(B, I3))), d(d(2, d(1, d(B, d(E, I3)))), d(B, d(E, H3))))), V=d(E2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T2=d(E2, d(1, D2)), V2=d(E2, d(1, d(d(A, d(O, d(B, S2))), d(d(2, d(1, d(B, d(E, S2)))), V1)))), R2=d(E2, d(1, Y2)), F3=d(H2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G3=d(H2, d(1, U1)), J3=d(H2, d(1, d(E, D3))), H3=d(H2, d(1, D3)), A3=d(H2, d(1, C3)), B2=d(H2, M), I3=d(H2, d(X1, d(d(A, d(d(2, d(1, K2)), d(B, J3))), d(d(2, d(1, d(B, d(E, J3)))), X))))]).
mm_proof('3an6', d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, B))), L=d(2, d(1, M)), N=d(2, d(1, C)), O=d(2, d(1, d(C, P))), Q=d(2, d(1, d(C, R))), S=d(2, d(1, d(C, d(A, T)))), U=d(2, d(1, d(C, d(A, V)))), W=d(2, d(1, X)), Y=d(2, d(1, Z)), A1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, B1))))), d(1, C1)))), D1=d(2, d(H, E1)), F1=d(3, d(D1, G1)), H1=d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, E1))))), B1))), M=d(d(2, 1), 1), I1=d(F, 1), B1=d(F, M), J1=d(F, K1), G1=d(H, B1), L1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), J1)))), B1)), M1=d(d(2, d(1, d(2, d(1, d(L, N1))))), L1), B=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1), C1=d(d(2, d(1, d(2, M))), B1), E1=d(d(2, d(1, d(2, d(d(2, d(1, L)), J1)))), B1), O1=d(d(2, d(1, d(2, M1))), B1), C=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(1, H1)), d(C, d(d(3, d(3, d(1, Q1))), Q1))), R1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), J1)))), B1)))))), B1))))), S1), K1=d(d(2, d(1, T1)), G1), T1=d(d(2, d(H, d(d(2, d(1, d(2, G1))), M))), M), J=d(D1, M), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, C))))), B1))), P1)))), B1)), M), S1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(C, U1), V1=d(C, d(A, P)), W1=d(C, d(A, R)), X1=d(C, d(A, Y1)), Z1=d(C, d(A, A2)), X=d(C, d(A, B2)), C2=d(C, D2), E2=d(C, d(d(B, d(d(2, d(1, d(C, F2))), d(C, G2))), d(d(2, d(1, d(C, d(A, G2)))), d(C, d(A, F2))))), H2=d(C, Y1), Z=d(C, A2), I2=d(C, T), J2=d(C, V), K2=d(C, B2), Q1=d(T1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), B1))), M))), d(3, d(D1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, J1)))), B1)))))), B1)))))), J1)))), B1))), M))))), L2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(A, D2), R=d(A, M2), F2=d(A, d(d(B, d(d(2, d(1, d(C, N2))), I2)), d(S, d(C, d(A, N2))))), D2=d(d(B, R1), R1), M2=d(d(B, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O1)), N1))))), L1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), J1)))), B1)))))), B1))))), S1)), d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(F, d(d(2, d(1, d(2, d(A1, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), N1))))), L1)))))), B1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), B1)))), J1)))), B1)))))), B1))))), S1)), D=d(d(B, d(d(2, d(1, d(C, L2))), d(C, O2))), d(d(2, d(1, d(C, d(A, O2)))), d(C, d(A, L2)))), P2=d(d(B, d(O, J2)), d(U, V1)), Q2=d(d(B, d(O, d(C, R2))), d(d(2, d(1, d(C, d(A, R2)))), V1)), S2=d(d(B, d(Q, d(C, T2))), d(d(2, d(1, d(C, d(A, T2)))), W1)), U2=d(d(B, d(Q, d(C, V2))), d(d(2, d(1, d(C, d(A, V2)))), W1)), W2=d(d(B, d(d(2, d(1, d(C, P2))), C2)), d(O, d(C, d(A, P2)))), X2=d(d(B, d(d(2, d(1, d(C, Q2))), C2)), d(O, d(C, d(A, Q2)))), Y2=d(d(B, d(d(2, d(1, d(C, U2))), d(C, M2))), d(Q, d(C, d(A, U2)))), E=d(d(B, d(d(2, d(1, d(C, W2))), J2)), d(U, d(C, d(A, W2)))), O2=d(d(B, d(d(2, d(1, d(C, X2))), d(C, Y2))), d(d(2, d(1, d(C, d(A, Y2)))), d(C, d(A, X2)))), G2=d(d(B, d(d(2, d(1, d(C, Z2))), d(C, A3))), d(d(2, d(1, d(C, d(A, A3)))), d(C, d(A, Z2)))), N2=d(d(B, d(d(2, d(1, d(C, B3))), Z)), d(d(2, d(1, Z1)), d(C, d(A, B3)))), Z2=d(d(B, d(d(2, d(1, d(C, C3))), H2)), d(d(2, d(1, X1)), d(C, d(A, C3)))), B3=d(d(B, d(Y, I2)), d(S, Z1)), D3=d(d(B, J), K1), Y1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, P1)))))))), B1))), d(G, N))))), B1)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(A1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), I1)))), B1)))))), d(A1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P1))), I1)))), B1))))), C3=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, E3))))))), B1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(Y, E3))))), B1)))), B1)))))), B1)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), B1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(Y, M))))), B1)))), B1)))))), B1)), M)), A2=d(d(B, A), A), T=d(d(B, d(X1, d(d(B, d(d(2, d(1, d(C, F3))), K2)), d(W, d(C, d(A, F3)))))), d(X1, d(d(B, d(d(2, d(1, d(C, G3))), K2)), d(W, d(C, d(A, G3)))))), E3=d(X1, d(d(B, d(d(2, d(1, d(C, H3))), d(C, I3))), d(d(2, d(1, d(C, d(A, I3)))), d(C, d(A, H3))))), V=d(E2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T2=d(E2, d(1, D2)), V2=d(E2, d(1, d(d(B, d(O, d(C, S2))), d(d(2, d(1, d(C, d(A, S2)))), V1)))), R2=d(E2, d(1, Y2)), F3=d(H2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G3=d(H2, d(1, U1)), J3=d(H2, d(1, d(A, D3))), H3=d(H2, d(1, D3)), A3=d(H2, d(1, C3)), B2=d(H2, M), I3=d(H2, d(X1, d(d(B, d(d(2, d(1, K2)), d(C, J3))), d(d(2, d(1, d(C, d(A, J3)))), X))))]).
mm_proof('3or6', d(d(A, d(d(2, d(1, d(B, C))), D)), d(d(2, d(1, E)), d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, L))))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, Q)), R=d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), S=d(2, d(1, d(B, T))), U=d(2, d(1, d(B, d(F, V)))), W=d(2, d(1, X)), Y=d(2, d(1, Z)), A1=d(2, d(H, d(G, d(1, d(P, L))))), K=d(2, d(I, B1)), C1=d(3, d(K, N)), D1=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, B1))))), E1))), L=d(d(2, 1), 1), E1=d(G, L), F1=d(G, d(d(2, d(1, G1)), N)), N=d(I, E1), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), E1)))), F1)))), E1))), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, L)))), F1)))), E1), B=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(R, 1), Q=d(R, d(M, E1)), G1=d(d(2, d(I, d(M, L))), L), I1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, H1)))), d(I, d(J, d(d(2, d(1, P)), J1))))))), L), K1=d(d(2, d(I, d(M, d(d(2, d(H, d(G, d(1, d(Y, d(P, Q)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, H1)))))), J1))))))), L))))), J1))))))), L), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, B))))), E1))), d(d(2, d(1, D1)), d(B, d(d(3, d(3, d(1, L1))), L1))))))), E1)), L), D=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(B, d(F, N1)), X=d(B, d(F, O1)), P1=d(B, d(F, Q1)), R1=d(B, N1), S1=d(B, V), Z=d(B, O1), T1=d(B, Q1), L1=d(G1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), E1))), L))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(O, F1)))), E1)))))), E1)))))), F1)))), E1))), L))))), U1=d(F, d(d(A, d(d(2, d(1, d(B, V1))), S1)), d(U, d(B, d(F, V1))))), W1=d(F, d(d(A, d(d(2, d(1, d(B, X1))), R1)), d(d(2, d(1, M1)), d(B, d(F, X1))))), T=d(F, Y1), C=d(d(A, d(d(2, d(1, d(B, U1))), d(B, W1))), d(d(2, d(1, d(B, d(F, W1)))), d(B, d(F, U1)))), Z1=d(d(A, d(S, d(B, A2))), d(d(2, d(1, d(B, d(F, A2)))), d(B, d(F, T)))), N1=d(d(A, d(d(2, d(1, d(B, Z1))), d(B, Y1))), d(S, d(B, d(F, Z1)))), Y1=d(d(A, d(d(2, d(1, d(B, B2))), Z)), d(W, d(B, d(F, B2)))), V1=d(d(A, d(d(2, d(1, d(B, C2))), Z)), d(W, d(B, d(F, C2)))), X1=d(d(A, d(d(2, d(1, d(B, D2))), Z)), d(W, d(B, d(F, D2)))), B2=d(d(A, d(d(2, d(1, d(B, E2))), T1)), d(d(2, d(1, P1)), d(B, d(F, E2)))), C2=d(d(A, d(Y, S1)), d(U, X)), D2=d(d(A, d(Y, d(B, F2))), d(d(2, d(1, d(B, d(F, F2)))), X)), V=d(d(A, d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, D)))))), J1))))))), L)), d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, E)))))), J1))))))), L)), F2=d(d(A, d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, R1)))))), J1))))))), L)), d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, M1)))))), J1))))))), L)), E2=d(d(A, d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, Z)))))), J1))))))), L)), d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, X)))))), J1))))))), L)), A2=d(d(A, d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, T1)))))), J1))))))), L)), d(d(2, d(I, d(M, d(A1, d(I, d(J, d(d(2, d(1, d(2, d(1, d(Y, d(P, P1)))))), J1))))))), L)), O1=d(d(A, I1), I1), Q1=d(d(A, K1), K1)]).
mm_proof(mp3an3, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), K)))))), L)))), K)))))), L))))))), M))))))), M))))), N))))), M))))))), M)))))), O))))), M))))), N))))), M))))))), M)))))), O)))), K)))))), L))))), M)))), K)))))), L))))))), M))))), N))))), M))))))), M)))))), O)))), 1)-[P=d(2, d(1, 1)), Q=d(2, d(1, 2)), R=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(T, U))))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), T=d(2, d(R, X)), Y=d(3, d(T, Z)), W=d(3, d(T, d(d(2, d(1, d(2, d(R, d(S, X))))), M))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), H=d(d(d(2, d(1, 2)), 1), P), E=d(d(d(2, d(1, 2)), 1), R), F=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), d(2, d(Q, d(d(2, d(1, d(2, d(1, d(Q, M))))), d(1, A1))))), D=d(d(d(2, d(1, 2)), 1), T), U=d(d(2, 1), 1), M=d(P, U), N=d(P, d(d(2, d(1, B1)), Z)), Z=d(R, M), L=d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), N)))), M)), A1=d(d(2, d(1, d(2, U))), M), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, U)))), N)))), M), I=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(R, d(d(2, d(1, d(2, Z))), U))), U), J=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(P, I))))), M))), d(d(2, d(1, W)), d(I, d(d(3, d(3, d(1, C1))), C1))))))), M)), U), O=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(I, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(B1, d(d(2, d(1, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), U))), d(3, d(T, d(d(2, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(2, d(1, d(2, d(R, d(S, d(d(2, d(1, d(2, d(V, N)))), M)))))), M)))))), N)))), M))), U)))))]).
mm_proof(mp3an13, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))))), O)))), N)))))), O))))))), P))))))), P))))), Q))))), P))))))), P)))))), R))))), P))))), Q))))), P))))))), P)))))), R)))), N)))))), O))))), P)))), N)))))), O))))))), P))))), Q))))), P))))))), P)))))), R)))), 1))))), N))))))), O)))))), P)))))), P)))))), 1))))), S)-[T=d(2, d(1, 1)), U=d(2, d(1, 2)), V=d(2, d(1, 3)), W=d(2, d(1, d(2, d(1, d(X, S))))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), X=d(2, d(V, A1)), B1=d(3, d(X, C1)), Z=d(3, d(X, d(d(2, d(1, d(2, d(V, d(W, A1))))), P))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), T), H=d(d(d(2, d(1, 2)), 1), V), I=d(d(d(2, d(1, 2)), 1), W), J=d(d(d(2, d(1, 2)), 1), d(2, d(U, d(d(2, d(1, d(2, d(1, d(U, P))))), d(1, D1))))), G=d(d(d(2, d(1, 2)), 1), X), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), S=d(d(2, 1), 1), P=d(T, S), Q=d(T, d(d(2, d(1, E1)), C1)), C1=d(V, P), O=d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), Q)))), P)), D1=d(d(2, d(1, d(2, S))), P), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), Q)))), P), L=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(V, d(d(2, d(1, d(2, C1))), S))), S), M=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(T, L))))), P))), d(d(2, d(1, Z)), d(L, d(d(3, d(3, d(1, F1))), F1))))))), P)), S), R=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), S))), d(3, d(X, d(d(2, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(V, d(W, d(d(2, d(1, d(2, d(Y, Q)))), P)))))), P)))))), Q)))), P))), S)))))]).
mm_proof(mp3an23, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(O, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), Q)))))), R)))), Q)))))), R))))))), S))))))), S))))), T))))), S))))))), S)))))), U))))), S))))), T))))), S))))))), S)))))), U)))), Q)))))), R))))), S)))), Q)))))), R))))))), S))))), T))))), S))))))), S)))))), U)))), 1))))), Q))))))), R))))))), d(N, 1)))))))), S)))))), V))))), V)-[W=d(2, d(1, 1)), X=d(2, d(1, 2)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(A1, V))))), B1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), A1=d(2, d(Y, D1)), E1=d(3, d(A1, F1)), C1=d(3, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, D1))))), S))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), N=d(d(d(2, d(1, 2)), 1), W), K=d(d(d(2, d(1, 2)), 1), Y), L=d(d(d(2, d(1, 2)), 1), Z), M=d(d(d(2, d(1, 2)), 1), d(2, d(X, d(d(2, d(1, d(2, d(1, d(X, S))))), d(1, G1))))), J=d(d(d(2, d(1, 2)), 1), A1), F=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), V=d(d(2, 1), 1), S=d(W, V), T=d(W, d(d(2, d(1, H1)), F1)), F1=d(Y, S), R=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), T)))), S)), G1=d(d(2, d(1, d(2, V))), S), D1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, V)))), T)))), S), O=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(Y, d(d(2, d(1, d(2, F1))), V))), V), P=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(W, O))))), S))), d(d(2, d(1, C1)), d(O, d(d(3, d(3, d(1, I1))), I1))))))), S)), V), U=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(O, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(H1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), S))), V))), d(3, d(A1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, d(d(2, d(1, d(2, d(B1, T)))), S)))))), S)))))), T)))), S))), V)))))]).
mm_proof(mp3an1i, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(C, 2))), K)))), d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))))), O)))), N)))))), O))))))), K))))))), K))))), P))))), K))))))), K)))))), Q))))), K))))), P))))), K))))))), K)))))), Q)))), N)))))), O))))), K))))), K))))), 1)))), R)))))), K)-[S=d(2, d(1, 1)), T=d(2, d(1, 2)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(W, R))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), W=d(2, d(U, Z)), A1=d(3, d(W, B1)), Y=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, Z))))), K))), C=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), E=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), J=d(d(d(2, d(1, 2)), 1), S), G=d(d(d(2, d(1, 2)), 1), U), H=d(d(d(2, d(1, 2)), 1), V), I=d(d(d(2, d(1, 2)), 1), d(2, d(T, d(d(2, d(1, d(2, d(1, d(T, K))))), d(1, C1))))), F=d(d(d(2, d(1, 2)), 1), W), B=d(d(d(2, d(1, 2)), 1), D), R=d(d(2, 1), 1), K=d(S, R), P=d(S, d(d(2, d(1, D1)), B1)), B1=d(U, K), O=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), P)))), K)), C1=d(d(2, d(1, d(2, R))), K), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, R)))), P)))), K), L=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(U, d(d(2, d(1, d(2, B1))), R))), R), M=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(S, L))))), K))), d(d(2, d(1, Y)), d(L, d(d(3, d(3, d(1, E1))), E1))))))), K)), R), Q=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), K))), R))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(X, P)))), K)))))), K)))))), P)))), K))), R)))))]).
mm_proof(mp3anl1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), L)))))), M)))), d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), L)))))), M)))), L)))))), M))))))), P))))))), P))))), Q))))), P))))))), P)))))), R))))), P))))), Q))))), P))))))), P)))))), R)))), L)))))), M))))), P))))), P))))), 1)))), S)))))), Q)))))), P)))))))), P))))))), R)-[T=d(2, d(1, 1)), U=d(2, d(1, 2)), V=d(2, d(1, 3)), W=d(2, d(1, d(2, d(1, d(X, S))))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), X=d(2, d(V, A1)), B1=d(3, d(X, C1)), Z=d(3, d(X, d(d(2, d(1, d(2, d(V, d(W, A1))))), P))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), T), F=d(d(d(2, d(1, 2)), 1), V), G=d(d(d(2, d(1, 2)), 1), W), J=d(d(d(2, d(1, 2)), 1), d(2, d(U, d(d(2, d(1, d(2, d(1, d(U, P))))), d(1, D1))))), E=d(d(d(2, d(1, 2)), 1), X), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), S=d(d(2, 1), 1), P=d(T, S), Q=d(T, d(d(2, d(1, E1)), C1)), C1=d(V, P), M=d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), Q)))), P)), D1=d(d(2, d(1, d(2, S))), P), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), Q)))), P), N=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(V, d(d(2, d(1, d(2, C1))), S))), S), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(T, N))))), P))), d(d(2, d(1, Z)), d(N, d(d(3, d(3, d(1, F1))), F1))))))), P)), S), R=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), S))), d(3, d(X, d(d(2, d(V, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(V, d(W, d(d(2, d(1, d(2, d(Y, Q)))), P)))))), P)))))), Q)))), P))), S)))))]).
mm_proof(mp3anl2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), J)))))), K)))), d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), J)))))), K))))), N)))))), d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, J))))), K))))), d(O, 1)))))), N)))), Q))), Q)))))))), N)))))), N)))))), R)))))), N)))))))), N))))))), S)))))), R)))))), N)))))))), N))))))), S)-[T=d(2, d(1, 1)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(W, Q))))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), P=d(2, d(1, Q)), W=d(2, d(U, Z)), A1=d(3, d(W, B1)), Y=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, Z))))), N))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), O=d(d(d(2, d(1, 2)), 1), T), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), D=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), F=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), U)), G=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), V)), E=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), W)), Q=d(d(2, 1), 1), N=d(T, Q), R=d(T, d(d(2, d(1, C1)), B1)), B1=d(U, N), K=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), N)))), R)))), N)), Z=d(d(2, d(1, d(2, d(d(2, d(1, P)), R)))), N), L=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(U, d(d(2, d(1, d(2, B1))), Q))), Q), M=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(T, L))))), N))), d(d(2, d(1, Y)), d(L, d(d(3, d(3, d(1, D1))), D1))))))), N)), Q), S=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(C1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), N))), Q))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(X, R)))), N)))))), N)))))), R)))), N))), Q)))))]).
mm_proof(mp3anl3, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), E), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, 2)), 1), G), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), L)))))), M)))), d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), L)))))), M)))), L)))))), M))))))), P))))))), P))))), Q))))), P))))))), P)))))), R))))), P))))), Q))))), P))))))), P)))))), R)))), L)))))), M))))), P)))), L)))))), M))))))), P))))), Q))))), P))))))), P)))))), R)))), 1)))))), Q)))))), P)))))))), P))))))), R)-[S=d(2, d(1, 1)), T=d(2, d(1, 2)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(W, X))))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), W=d(2, d(U, A1)), B1=d(3, d(W, C1)), Z=d(3, d(W, d(d(2, d(1, d(2, d(U, d(V, A1))))), P))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), S), F=d(d(d(2, d(1, 2)), 1), U), G=d(d(d(2, d(1, 2)), 1), V), J=d(d(d(2, d(1, 2)), 1), d(2, d(T, d(d(2, d(1, d(2, d(1, d(T, P))))), d(1, D1))))), E=d(d(d(2, d(1, 2)), 1), W), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), X=d(d(2, 1), 1), P=d(S, X), Q=d(S, d(d(2, d(1, E1)), C1)), C1=d(U, P), M=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), Q)))), P)), D1=d(d(2, d(1, d(2, X))), P), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Q)))), P), N=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(U, d(d(2, d(1, d(2, C1))), X))), X), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(S, N))))), P))), d(d(2, d(1, Z)), d(N, d(d(3, d(3, d(1, F1))), F1))))))), P)), X), R=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(E1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), X))), d(3, d(W, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(U, d(V, d(d(2, d(1, d(2, d(Y, Q)))), P)))))), P)))))), Q)))), P))), X)))))]).
mm_proof(mp3anr1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(N, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(N, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), P)))))), Q))))), R))))), S))))), R))))))), R)))))), T)))), P)))))), Q)))), d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), P)))))), Q)))), P)))))), Q))))))), R))))))), R))))), S))))), R))))))), R)))))), T))))), R))))), S))))), R))))))), R)))))), T)))), P)))))), Q))))), R))))), R))))), 1)))), W)))))), S)))))), R)))))))), R))))))), T))))), P))))))), Q)))))), R)))))), S)))))), R)))))))), R))))))), T)-[X=d(2, d(1, 1)), Y=d(2, d(1, 2)), Z=d(2, d(1, 3)), A1=d(2, d(1, d(2, d(1, d(B1, W))))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), B1=d(2, d(Z, E1)), F1=d(3, d(B1, G1)), D1=d(3, d(B1, d(d(2, d(1, d(2, d(Z, d(A1, E1))))), R))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), O=d(d(d(2, d(1, 2)), 1), X), L=d(d(d(2, d(1, 2)), 1), Z), M=d(d(d(2, d(1, 2)), 1), A1), N=d(d(d(2, d(1, 2)), 1), d(2, d(Y, d(d(2, d(1, d(2, d(1, d(Y, R))))), d(1, H1))))), K=d(d(d(2, d(1, 2)), 1), B1), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), D=d(d(d(2, d(1, 2)), 1), J), F=d(d(d(2, d(1, 2)), 1), L), G=d(d(d(2, d(1, 2)), 1), M), E=d(d(d(2, d(1, 2)), 1), K), W=d(d(2, 1), 1), R=d(X, W), S=d(X, d(d(2, d(1, I1)), G1)), G1=d(Z, R), Q=d(Z, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), S)))), R)), H1=d(d(2, d(1, d(2, W))), R), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), S)))), R), U=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(Z, d(d(2, d(1, d(2, G1))), W))), W), V=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(X, U))))), R))), d(d(2, d(1, D1)), d(U, d(d(3, d(3, d(1, J1))), J1))))))), R)), W), T=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(I1, d(d(2, d(1, d(d(2, d(Z, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), R))), W))), d(3, d(B1, d(d(2, d(Z, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(Z, d(A1, d(d(2, d(1, d(2, d(C1, S)))), R)))))), R)))))), S)))), R))), W)))))]).
mm_proof(mp3anr2, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), N)))))), O))))), P))))), Q))))), P))))))), P)))))), R)))), N)))))), O)))), d(S, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))))), O))))), P)))))), d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, N))))), O))))), d(U, 1)))))), P)))), W))), W)))))))), P)))))), P)))))), Q)))))), P)))))))), P))))))), R)))))), Q)))))), P)))))))), P))))))), R))))), N))))))), O)))))), P)))))), Q)))))), P)))))))), P))))))), R)-[X=d(2, d(1, 1)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(A1, W))))), B1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), V=d(2, d(1, W)), A1=d(2, d(Y, D1)), E1=d(3, d(A1, F1)), C1=d(3, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, D1))))), P))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), U=d(d(d(2, d(1, 2)), 1), X), L=d(d(d(2, d(1, 2)), 1), Y), M=d(d(d(2, d(1, 2)), 1), Z), K=d(d(d(2, d(1, 2)), 1), A1), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), D=d(d(d(2, d(1, 2)), 1), J), F=d(d(d(2, d(1, 2)), 1), L), G=d(d(d(2, d(1, 2)), 1), M), E=d(d(d(2, d(1, 2)), 1), K), W=d(d(2, 1), 1), P=d(X, W), Q=d(X, d(d(2, d(1, G1)), F1)), F1=d(Y, P), O=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), P)))), Q)))), P)), D1=d(d(2, d(1, d(2, d(d(2, d(1, V)), Q)))), P), S=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(Y, d(d(2, d(1, d(2, F1))), W))), W), T=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(X, S))))), P))), d(d(2, d(1, C1)), d(S, d(d(3, d(3, d(1, H1))), H1))))))), P)), W), R=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(S, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(G1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), P))), W))), d(3, d(A1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, d(d(2, d(1, d(2, d(B1, Q)))), P)))))), P)))))), Q)))), P))), W)))))]).
mm_proof(mp3anr3, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(N, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(N, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(N, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, 1)), P)))))), Q))))), R))))), S))))), R))))))), R)))))), T)))), P)))))), Q)))), d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), P)))))), Q)))), P)))))), Q))))))), R))))))), R))))), S))))), R))))))), R)))))), T))))), R))))), S))))), R))))))), R)))))), T)))), P)))))), Q))))), R)))), P)))))), Q))))))), R))))), S))))), R))))))), R)))))), T)))), 1)))))), S)))))), R)))))))), R))))))), T))))), P))))))), Q)))))), R)))))), S)))))), R)))))))), R))))))), T)-[W=d(2, d(1, 1)), X=d(2, d(1, 2)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(A1, B1))))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), A1=d(2, d(Y, E1)), F1=d(3, d(A1, G1)), D1=d(3, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, E1))))), R))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), J=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), O=d(d(d(2, d(1, 2)), 1), W), L=d(d(d(2, d(1, 2)), 1), Y), M=d(d(d(2, d(1, 2)), 1), Z), N=d(d(d(2, d(1, 2)), 1), d(2, d(X, d(d(2, d(1, d(2, d(1, d(X, R))))), d(1, H1))))), K=d(d(d(2, d(1, 2)), 1), A1), C=d(d(d(2, d(1, 2)), 1), I), B=d(d(d(2, d(1, 2)), 1), H), D=d(d(d(2, d(1, 2)), 1), J), F=d(d(d(2, d(1, 2)), 1), L), G=d(d(d(2, d(1, 2)), 1), M), E=d(d(d(2, d(1, 2)), 1), K), B1=d(d(2, 1), 1), R=d(W, B1), S=d(W, d(d(2, d(1, I1)), G1)), G1=d(Y, R), Q=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), S)))), R)), H1=d(d(2, d(1, d(2, B1))), R), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, B1)))), S)))), R), U=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(Y, d(d(2, d(1, d(2, G1))), B1))), B1), V=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(W, U))))), R))), d(d(2, d(1, D1)), d(U, d(d(3, d(3, d(1, J1))), J1))))))), R)), B1), T=d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(U, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(I1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), R))), B1))), d(3, d(A1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, d(d(2, d(1, d(2, d(C1, S)))), R)))))), R)))))), S)))), R))), B1)))))]).
mm_proof(mp3an, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(A, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(E, 1)), d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), O)))))), P)))), O)))))), P))))))), Q))))))), Q))))), R))))), Q))))))), Q)))))), S))))), Q))))), R))))), Q))))))), Q)))))), S)))), O)))))), P))))), Q))))), Q))))), 1)))), T))))), O))))))), P)))))), Q)))))), Q)))))), 1))))), T))-[U=d(2, d(1, 1)), V=d(2, d(1, 2)), W=d(2, d(1, 3)), X=d(2, d(1, d(2, d(1, d(Y, T))))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), Y=d(2, d(W, B1)), C1=d(3, d(Y, D1)), A1=d(3, d(Y, d(d(2, d(1, d(2, d(W, d(X, B1))))), Q))), F=d(d(d(2, d(1, 2)), 1), 1), E=d(d(d(2, d(1, 2)), 1), 2), G=d(d(d(2, d(1, 2)), 1), 3), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), L=d(d(d(2, d(1, 2)), 1), U), I=d(d(d(2, d(1, 2)), 1), W), J=d(d(d(2, d(1, 2)), 1), X), K=d(d(d(2, d(1, 2)), 1), d(2, d(V, d(d(2, d(1, d(2, d(1, d(V, Q))))), d(1, E1))))), H=d(d(d(2, d(1, 2)), 1), Y), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), A=d(d(d(2, d(1, 2)), 1), B), T=d(d(2, 1), 1), Q=d(U, T), R=d(U, d(d(2, d(1, F1)), D1)), D1=d(W, Q), P=d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), R)))), Q)), E1=d(d(2, d(1, d(2, T))), Q), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, T)))), R)))), Q), M=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(W, d(d(2, d(1, d(2, D1))), T))), T), N=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(U, M))))), Q))), d(d(2, d(1, A1)), d(M, d(d(3, d(3, d(1, G1))), G1))))))), Q)), T), S=d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(M, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(F1, d(d(2, d(1, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), Q))), T))), d(3, d(Y, d(d(2, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(W, d(X, d(d(2, d(1, d(2, d(Z, R)))), Q)))))), Q)))))), R)))), Q))), T)))))]).
mm_proof(mpd3an3, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), d(F, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), d(F, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), H)))))), I)))))), J))))), K)))), K)-[I=d(2, d(1, 1)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, K))))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), N=d(2, d(L, Q)), R=d(3, d(N, S)), P=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, Q))))), J))), E=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), E), B=d(d(d(2, d(1, 2)), 1), D), K=d(d(2, 1), 1), J=d(I, K), T=d(I, d(d(2, d(1, U)), S)), S=d(L, J), H=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), J)))), T)))), J)), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, K)))), T)))), J), F=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(L, d(d(2, d(1, d(2, S))), K))), K), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(I, F))))), J))), d(d(2, d(1, P)), d(F, d(d(3, d(3, d(1, V))), V))))))), J)), K), V=d(U, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), J))), K))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(O, T)))), J)))))), J)))))), T)))), J))), K)))))]).
mm_proof(mpd3an23, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(D, E))), E))))), E)))-[F=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(I, E))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), M=d(2, d(1, E)), I=d(2, d(G, N)), O=d(3, d(I, P)), K=d(3, d(I, d(d(2, d(1, d(2, d(G, d(H, N))))), Q))), R=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), D=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(R, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), L))))), F))))), Q)))), E=d(d(2, 1), 1), Q=d(F, E), S=d(F, d(d(2, d(1, T)), P)), P=d(G, Q), L=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), Q)))), S)))), Q)), N=d(d(2, d(1, d(2, d(d(2, d(1, M)), S)))), Q), B=d(d(2, d(1, O)), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T=d(d(2, d(G, d(d(2, d(1, d(2, P))), E))), E), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(F, B))))), Q))), d(d(2, d(1, K)), d(B, d(d(3, d(3, d(1, U))), U))))))), Q)), E), U=d(T, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), Q))), E))), d(3, d(I, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(J, S)))), Q)))))), Q)))))), S)))), Q))), E)))))]).
mm_proof(mp3and, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), 2)))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, E))), F)))))), F)))-[G=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, F))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), N=d(2, d(1, F)), J=d(2, d(H, O)), P=d(3, d(J, Q)), L=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, O))))), R))), S=d(d(d(2, d(1, 2)), 1), 1), T=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), D=d(d(d(2, d(1, 2)), 1), T), E=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(T, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(T, d(S, d(T, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), M))))), G))))), R)))), F=d(d(2, 1), 1), R=d(G, F), U=d(G, d(d(2, d(1, V)), Q)), Q=d(H, R), M=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), R)))), U)))), R)), O=d(d(2, d(1, d(2, d(d(2, d(1, N)), U)))), R), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(H, d(d(2, d(1, d(2, Q))), F))), F), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(G, A))))), R))), d(d(2, d(1, L)), d(A, d(d(3, d(3, d(1, W))), W))))))), R)), F), W=d(V, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), R))), F))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, U)))), R)))))), R)))))), U)))), R))), F)))))]).
mm_proof(mp3an12i, d(A, d(B, d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(D, d(E, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(C, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(C, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(C, d(E, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(L, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, 1)), d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), P)))))), Q)))), P)))))), Q))))))), R))))))), R))))), S))))), R))))))), R)))))), T))))), R))))), S))))), R))))))), R)))))), T)))), P)))))), Q))))), R))))), R))))), 1)))), U))))), P))))))), Q)))))), R)))))), R)))))), 1))))), U))))-[V=d(2, d(1, 1)), W=d(2, d(1, 2)), X=d(2, d(1, 3)), Y=d(2, d(1, d(2, d(1, d(Z, U))))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), Z=d(2, d(X, C1)), D1=d(3, d(Z, E1)), B1=d(3, d(Z, d(d(2, d(1, d(2, d(X, d(Y, C1))))), R))), G=d(d(d(2, d(1, 2)), 1), 1), F=d(d(d(2, d(1, 2)), 1), 2), H=d(d(d(2, d(1, 2)), 1), 3), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M=d(d(d(2, d(1, 2)), 1), V), J=d(d(d(2, d(1, 2)), 1), X), K=d(d(d(2, d(1, 2)), 1), Y), L=d(d(d(2, d(1, 2)), 1), d(2, d(W, d(d(2, d(1, d(2, d(1, d(W, R))))), d(1, F1))))), I=d(d(d(2, d(1, 2)), 1), Z), C=d(d(d(2, d(1, 2)), 1), G), E=d(d(d(2, d(1, 2)), 1), F), A=d(d(d(2, d(1, 2)), 1), D), B=d(d(d(2, d(1, 2)), 1), E), U=d(d(2, 1), 1), R=d(V, U), S=d(V, d(d(2, d(1, G1)), E1)), E1=d(X, R), Q=d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), S)))), R)), F1=d(d(2, d(1, d(2, U))), R), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, U)))), S)))), R), N=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(X, d(d(2, d(1, d(2, E1))), U))), U), O=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(V, N))))), R))), d(d(2, d(1, B1)), d(N, d(d(3, d(3, d(1, H1))), H1))))))), R)), U), T=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P=d(N, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(G1, d(d(2, d(1, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), R))), U))), d(3, d(Z, d(d(2, d(X, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(X, d(Y, d(d(2, d(1, d(2, d(A1, S)))), R)))))), R)))))), S)))), R))), U)))))]).
mm_proof(mp3an2i, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(A, d(E, d(F, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(O, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), Q)))))), R)))), Q)))))), R))))))), S))))))), S))))), T))))), S))))))), S)))))), U))))), S))))), T))))), S))))))), S)))))), U)))), Q)))))), R))))), S))))), S))))), 1)))), V))))), Q))))))), R))))))), W))))))), S)))))))))), V)-[W=d(2, d(1, 1)), X=d(2, d(1, 2)), Y=d(2, d(1, 3)), Z=d(2, d(1, d(2, d(1, d(A1, V))))), B1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), A1=d(2, d(Y, D1)), E1=d(3, d(A1, F1)), C1=d(3, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, D1))))), S))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), N=d(d(d(2, d(1, 2)), 1), W), K=d(d(d(2, d(1, 2)), 1), Y), L=d(d(d(2, d(1, 2)), 1), Z), M=d(d(d(2, d(1, 2)), 1), d(2, d(X, d(d(2, d(1, d(2, d(1, d(X, S))))), d(1, G1))))), J=d(d(d(2, d(1, 2)), 1), A1), F=d(d(d(2, d(1, 2)), 1), H), E=d(d(d(2, d(1, 2)), 1), G), B=d(d(d(2, d(1, 2)), 1), A), D=d(d(d(2, d(1, 2)), 1), F), C=d(d(d(2, d(1, 2)), 1), E), V=d(d(2, 1), 1), S=d(W, V), T=d(W, d(d(2, d(1, H1)), F1)), F1=d(Y, S), R=d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), T)))), S)), G1=d(d(2, d(1, d(2, V))), S), D1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, V)))), T)))), S), O=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(Y, d(d(2, d(1, d(2, F1))), V))), V), P=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(W, O))))), S))), d(d(2, d(1, C1)), d(O, d(d(3, d(3, d(1, I1))), I1))))))), S)), V), U=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(O, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(H1, d(d(2, d(1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), S))), V))), d(3, d(A1, d(d(2, d(Y, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Y, d(Z, d(d(2, d(1, d(2, d(B1, T)))), S)))))), S)))))), T)))), S))), V)))))]).
mm_proof(mp3an3an, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), F), d(B, d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(H, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), I)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(H, d(G, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), L)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(A, d(M, d(N, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(M, d(N, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(M, d(N, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(M, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, 1)), d(S, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), U)))))), V)))), U)))))), V))))))), W))))))), W))))), X))))), W))))))), W)))))), Y))))), W))))), X))))), W))))))), W)))))), Y)))), U)))))), V))))), W))))), W))))), 1)))), Z))))), U))))))), V)))))), W))))))), A1))))))), W))))))), W))))))), X))))))), W))))))))), W)))))))), Y)))))), U)))))))), V)))))))), d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(O, d(P, d(O, A1)))), X))))), W))))))), W)))))), Y)))), U)))))), V))))), W))))), X))))), W))))))), W)))))), Y)))))))))), W))))))), d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(C1, d(D1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), X)))), W)))))), W))))), Y))))))), Z)-[A1=d(2, d(1, 1)), E1=d(2, d(1, 2)), C1=d(2, d(1, 3)), D1=d(2, d(1, d(2, d(1, d(B1, Z))))), F1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), B1=d(2, d(C1, H1)), I1=d(3, d(B1, J1)), G1=d(3, d(B1, d(d(2, d(1, d(2, d(C1, d(D1, H1))))), W))), P=d(d(d(2, d(1, 2)), 1), 1), O=d(d(d(2, d(1, 2)), 1), 2), I=d(d(d(2, d(1, 2)), 1), 3), F=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), R=d(d(d(2, d(1, 2)), 1), A1), K=d(d(d(2, d(1, 2)), 1), C1), L=d(d(d(2, d(1, 2)), 1), D1), Q=d(d(d(2, d(1, 2)), 1), d(2, d(E1, d(d(2, d(1, d(2, d(1, d(E1, W))))), d(1, K1))))), J=d(d(d(2, d(1, 2)), 1), B1), N=d(d(d(2, d(1, 2)), 1), P), M=d(d(d(2, d(1, 2)), 1), O), B=d(d(d(2, d(1, 2)), 1), A), H=d(d(d(2, d(1, 2)), 1), N), G=d(d(d(2, d(1, 2)), 1), M), C=d(d(d(2, d(1, 2)), 1), B), E=d(d(d(2, d(1, 2)), 1), H), D=d(d(d(2, d(1, 2)), 1), G), Z=d(d(2, 1), 1), W=d(A1, Z), X=d(A1, d(d(2, d(1, L1)), J1)), J1=d(C1, W), V=d(C1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), X)))), W)), K1=d(d(2, d(1, d(2, Z))), W), H1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Z)))), X)))), W), S=d(d(2, d(1, I1)), d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(C1, d(d(2, d(1, d(2, J1))), Z))), Z), T=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(A1, S))))), W))), d(d(2, d(1, G1)), d(S, d(d(3, d(3, d(1, M1))), M1))))))), W)), Z), Y=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(S, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M1=d(L1, d(d(2, d(1, d(d(2, d(C1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), W))), Z))), d(3, d(B1, d(d(2, d(C1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(C1, d(D1, d(d(2, d(1, d(2, d(F1, X)))), W)))))), W)))))), X)))), W))), Z)))))]).
mm_proof(mp3an2ani, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(F, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), J))), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), K))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), L), d(B, d(M, d(N, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(O, d(P, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(M, d(Q, d(R, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(M, d(N, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(L, d(A, d(S, d(T, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(S, d(T, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(S, d(T, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(S, d(T, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(S, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(W, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(Y, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(W, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(Y, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(J, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, 1)), d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), C1)))))), D1)))), C1)))))), D1))))))), E1))))))), E1))))), F1))))), E1))))))), E1)))))), G1))))), E1))))), F1))))), E1))))))), E1)))))), G1)))), C1)))))), D1))))), E1))))), E1))))), 1)))), H1))))), C1))))))), D1)))))), E1))))))), I1))))))), E1))))))), E1))))))), F1))))))), E1))))))))), E1)))))))), G1)))))), C1)))))))), D1)))))))), d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(W, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(Y, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(W, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(Y, d(Z, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(U, d(V, d(U, I1)))), F1))))), E1))))))), E1)))))), G1)))), C1)))))), D1))))), E1))))), F1))))), E1))))))), E1)))))), G1)))))))))), E1))))))), J1)))))), H1))))))), C1))))))))), D1)))))))), E1))))))), C1))))))))), D1)))))))))), E1)))))))), F1)))))))), E1)))))))))), E1))))))))), G1)))))))), F1)))))))), E1)))))))))), E1))))))))), G1))))))), C1))))))))), D1)))))))), E1)))))))), d(I1, d(A1, d(d(A1, d(d(K1, d(d(2, d(1, d(A1, L1))), d(A1, M1))), d(d(2, d(1, d(A1, d(B1, M1)))), d(A1, d(B1, L1))))), H1))))))))))), E1)))))))), E1)))))))), F1)))))))), E1)))))))))), E1))))))))), G1)-[I1=d(2, d(1, 1)), N1=d(2, d(1, 2)), O1=d(2, d(1, 3)), P1=d(2, d(1, d(2, d(1, d(Q1, H1))))), R1=d(2, d(1, d(2, K1))), S1=d(2, d(1, H1)), T1=d(2, d(N1, d(d(2, d(1, d(2, d(1, d(N1, E1))))), d(1, U1)))), Q1=d(2, d(O1, V1)), W1=d(3, d(Q1, X1)), Y1=d(3, d(Q1, d(d(2, d(1, d(2, d(O1, d(P1, V1))))), E1))), V=d(d(d(2, d(1, 2)), 1), 1), U=d(d(d(2, d(1, 2)), 1), 2), W=d(d(d(2, d(1, 2)), 1), 3), L=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), K=d(d(d(2, d(1, 2)), 1), I1), Y=d(d(d(2, d(1, 2)), 1), O1), Z=d(d(d(2, d(1, 2)), 1), P1), J=d(d(d(2, d(1, 2)), 1), T1), X=d(d(d(2, d(1, 2)), 1), Q1), T=d(d(d(2, d(1, 2)), 1), V), S=d(d(d(2, d(1, 2)), 1), U), B=d(d(d(2, d(1, 2)), 1), A), N=d(d(d(2, d(1, 2)), 1), T), M=d(d(d(2, d(1, 2)), 1), S), O=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), W)), C=d(d(d(2, d(1, 2)), 1), B), Q=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Y)), R=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), Z)), P=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), X)), E=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), O), H=d(d(d(2, d(1, 2)), 1), Q), I=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), P), H1=d(d(2, 1), 1), Z1=d(I1, 1), E1=d(I1, H1), F1=d(I1, d(d(2, d(1, A2)), X1)), X1=d(O1, E1), D1=d(O1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), F1)))), E1)), K1=d(d(2, d(1, d(2, d(1, d(Y1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1), U1=d(d(2, d(1, d(2, H1))), E1), V1=d(d(2, d(1, d(2, d(d(2, d(1, S1)), F1)))), E1), B2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S1, C1))))), D1)))), E1), A1=d(d(2, d(1, W1)), d(W1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C2=d(d(2, d(1, Y1)), D2), J1=d(d(2, d(1, d(3, d(Q1, d(d(2, d(1, d(2, d(O1, d(P1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), F1)))), E1)))))), E1))))), G1), E2=d(d(2, d(1, d(3, d(Q1, d(d(2, d(1, d(2, d(O1, d(P1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B2))), F1)))), E1)))))), E1))))), G1), A2=d(d(2, d(O1, d(d(2, d(1, d(2, X1))), H1))), H1), F2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R1, d(I1, d(1, J1)))))), E1))), B2)))), E1)), H1), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R1, d(I1, A1))))), E1))), C2)))), E1)), H1), G2=d(d(3, d(3, d(1, H2))), H2), G1=d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D2=d(A1, G2), C1=d(A1, I2), J2=d(A1, K2), H2=d(A2, d(d(2, d(1, d(d(2, d(O1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), E1))), H1))), d(3, d(Q1, d(d(2, d(O1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q1, d(d(2, d(1, d(2, d(O1, d(P1, d(d(2, d(1, d(2, d(R1, F1)))), E1)))))), E1)))))), F1)))), E1))), H1))))), L2=d(F2, J1), I2=d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(B1, d(d(K1, d(d(2, d(1, C1)), D2)), d(d(2, d(1, d(A1, d(B1, G2)))), d(A1, d(B1, I2))))), L1=d(d(K1, d(d(2, d(1, d(A1, M2))), d(A1, L2))), d(d(2, d(1, d(A1, d(B1, L2)))), d(A1, d(B1, M2)))), K2=d(d(K1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R1, d(I1, d(N1, d(2, d(1, C2)))))))), E1))), d(N1, d(2, d(1, A1))))))), E1)), H1)), d(d(2, d(N1, d(d(2, d(1, d(2, d(1, K1)))), d(T1, d(I1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), Z1)))), E1)))))), d(T1, d(I1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C2))), Z1)))), E1))))), N2=d(J2, d(1, d(d(K1, E2), E2))), O2=d(J2, F2), M1=d(J2, d(d(A1, d(B1, K2)), d(d(K1, d(d(2, d(1, d(A1, N2))), d(A1, O2))), d(d(2, d(1, d(A1, d(B1, O2)))), d(A1, d(B1, N2))))))]).
mm_proof(biimp3a, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, 2)), 1), 3), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(2, d(1, d(C, E)))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(2, d(1, F)))))), G))))), H))))))), H)))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[I=d(2, d(1, 1)), D=d(2, d(1, 3)), C=d(2, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E)))), G)))), H))), J=d(3, d(C, K)), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), E=d(d(2, 1), 1), H=d(I, E), G=d(I, d(d(2, d(1, d(d(2, d(D, d(d(2, d(1, d(2, K))), E))), E))), K)), K=d(D, H), F=d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(biimp3ar, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, G))), d(2, d(1, d(G, d(d(H, I), I))))))))), J))))), J))))), K))))), J))))))), J)))))), L)))), M)))))), N)))), M)))))), N))))), K))))), J))))))), J)))))), L))))), K))))), J))))))), J)))))), L)))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[O=d(2, d(1, 1)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(R, S))))), T=d(2, d(1, d(2, H))), R=d(2, d(P, U)), V=d(3, d(R, W)), X=d(3, d(R, d(d(2, d(1, d(2, d(P, d(Q, U))))), J))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), P), F=d(d(d(2, d(1, 2)), 1), Q), D=d(d(d(2, d(1, 2)), 1), R), S=d(d(2, 1), 1), J=d(O, S), K=d(O, d(d(2, d(1, Y)), W)), W=d(P, J), N=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), J)))), K)))), J)), H=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N), U=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S)))), K)))), J), G=d(d(2, d(1, V)), d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(P, d(d(2, d(1, d(2, W))), S))), S), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(O, G))))), J))), d(d(2, d(1, X)), d(G, d(d(3, d(3, d(1, Z))), Z))))))), J)), S), L=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(G, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(Y, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), S))), d(3, d(R, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(P, d(Q, d(d(2, d(1, d(2, d(T, K)))), J)))))), J)))))), K)))), J))), S)))))]).
mm_proof('3anandis', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1)), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, d(D, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C, I)))), J)))), I)))), I)))), K)))), I)))))), I))))), L))), M))))), K)))), I)))))), I))))), L))), N))))), O)))), I)))), K)))), I)))))), I))))), L)))))), I))), P)), Q)))))), I))), P)), Q)))))), I))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E, R)))), I))), P)), Q)))))), I))), P)), Q)))))), I))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, T)))), I))), P)), Q))), N))))), O)))), R)))), I))), P)), Q)))))), I))), P)), Q))), Q))), Q)))-[D=d(2, d(1, 1)), U=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, Q))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, N))))), O)))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, W)), N))))), O)))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(D, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), K)))), I)))))), I))))), L))), N))))), O)))), I)))), K)))), I)))))), I))))), L)))))), I))), P)), Q))), N))))), O)))), X=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), V=d(2, d(1, Q)), F=d(2, d(G, Z)), A1=d(3, d(F, B1)), Y=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, Z))))), I))), Q=d(d(2, 1), 1), I=d(D, Q), J=d(D, W), T=d(D, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, P)))), K)))), I)))))), I))))), L))), N))))), O)))), I)))), K)))), I)))))), I))))), L)), R=d(D, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(U, d(d(2, d(1, d(2, d(1, d(U, I))))), d(1, C1)))), d(D, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, T)))), I))), P)), Q))), N))))), O)))), I))), N))))), O)))))), I)))), K)))), I)))))), I))))), L)))), K)))), I)))))), I))))), L))), M))))), K)))), I)))))), I))))), L))), N))))), O)))), I)))), K)))), I)))))), I))))), L)), K=d(D, d(d(2, d(1, D1)), B1)), B1=d(G, I), O=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), K)))), I)), C1=d(d(2, d(1, d(2, Q))), I), Z=d(d(2, d(1, d(2, d(d(2, d(1, V)), K)))), I), A=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), K)))), I)))))), I))))), L), W=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, P)), N))))), O)))), I)))), K)))), I)))))), I))))), L), D1=d(d(2, d(G, d(d(2, d(1, d(2, B1))), Q))), Q), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(D, A))))), I))), d(d(2, d(1, Y)), d(A, d(d(3, d(3, d(1, E1))), E1))))))), I)), Q), M=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(D1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), I))), Q))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(X, K)))), I)))))), I)))))), K)))), I))), Q)))))]).
mm_proof('3anandirs', d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), 1)), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, J)))), K)))), K)))), L)))), K)))))), K))))), M))), N))))), O)))), K)))), P)))), K)))), K)))), L)))), K)))))), K))))), M))), Q)))))), K))), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C, d(D, d(d(2, d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, P)))), K)))), K)))), L)))), K)))))), K))))), M))), Q)))))), K))), d(d(2, d(E, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, T)))), K)))), K)))), L)))), K)))))), K))))), M))), U)))))), K)))), K)))), L)))), K)))))), K))))), M))), Q))), Q))), Q)))-[D=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, Q))))), C=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, N))))), O)))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), S=d(2, d(1, d(2, d(C, K)))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Y)), N))))), O)))), K)))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, T)))), K)))), K)))), L)))), K)))))), K))))), M))), N))))), O)))), K)))), V=d(2, d(1, Q)), E=d(2, d(1, d(d(2, d(1, d(2, d(C, J)))), K))), F=d(2, d(G, Z)), A1=d(3, d(F, B1)), X=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, Z))))), K))), Q=d(d(2, 1), 1), K=d(D, Q), T=d(D, Y), J=d(D, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(I, L)))), K)))))), K))))), M)), P=d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, J)))), K)))), K)))), L)))), K)))))), K))))), M))), U)), L=d(D, d(d(2, d(1, C1)), B1)), B1=d(G, K), O=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), K)))), L)))), K)), Z=d(d(2, d(1, d(2, d(d(2, d(1, V)), L)))), K), A=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), L)))), K)))))), K))))), M), C1=d(d(2, d(G, d(d(2, d(1, d(2, B1))), Q))), Q), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(D, A))))), K))), d(d(2, d(1, X)), d(A, d(d(3, d(3, d(1, D1))), D1))))))), K)), Q), U=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(C1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), K))), Q))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(W, L)))), K)))))), K)))))), L)))), K))), Q)))))]).
mm_proof('3ecase', d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), A)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), H))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(I, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, 2)))), d(d(d(d(2, d(1, 2)), 1), J), d(A, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(F, d(K, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(F, d(K, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, 1)), d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), N)))))), O)))), N)))))), O))))), d(P, d(d(d(d(2, d(1, 2)), 1), Q), d(J, R))))))))))), d(G, d(d(d(d(2, d(1, 2)), 1), S), 1))))))))), T))))))), d(P, Q)))-[R=d(2, d(1, 1)), U=d(2, d(1, 3)), S=d(2, d(1, d(2, d(1, d(Q, T))))), H=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O)))), Q=d(2, d(U, Y)), Z=d(3, d(Q, V)), X=d(3, d(Q, d(d(2, d(1, d(2, d(U, d(S, Y))))), A1))), F=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), P=d(d(d(2, d(1, 2)), 1), 3), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), C=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), J=d(d(d(2, d(1, 2)), 1), R), G=d(d(d(2, d(1, 2)), 1), U), I=d(d(d(2, d(1, 2)), 1), K), D=d(d(d(2, d(1, 2)), 1), C), E=d(d(d(2, d(1, 2)), 1), I), A=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), B1)), T=d(d(2, 1), 1), A1=d(R, T), C1=d(R, d(d(2, d(1, B1)), V)), V=d(U, A1), O=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), A1)))), C1)))), A1)), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, T)))), C1)))), A1), L=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(U, d(H, T))), T), M=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(R, L))))), A1))), d(d(2, d(1, X)), d(L, d(d(3, d(3, d(1, D1))), D1))))))), A1)), T), N=d(L, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(B1, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), A1))), T))), d(3, d(Q, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(U, d(S, d(d(2, d(1, d(2, d(W, C1)))), A1)))))), A1)))))), C1)))), A1))), T)))))]).
mm_proof('3bior1fd', d(d(d(d(2, d(1, 2)), 1), d(A, d(B, C))), d(d(2, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, E)))), d(F, G)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(F, d(d(d(d(2, d(1, 2)), 1), B), G))))), d(A, d(B, E)))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, D))), Q=d(2, d(1, R)), S=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), T=d(2, d(1, U)), V=d(2, d(I, d(H, d(1, d(Q, M))))), W=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, X))))), d(1, Y)))), L=d(2, d(J, Z)), A1=d(3, d(L, O)), B1=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, Z))))), X))), F=d(d(d(2, d(1, 2)), 1), A), M=d(d(2, 1), 1), C1=d(H, 1), D1=d(H, d(1, E1)), X=d(H, M), F1=d(H, d(d(2, d(1, G1)), O)), O=d(J, X), D=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), F1)))), X))), Y=d(d(2, d(1, d(2, M))), X), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), F1)))), X), A=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, B1)), d(A, d(d(3, d(3, d(1, I1))), I1))), E1=d(S, 1), R=d(S, d(N, X)), G1=d(d(2, d(J, d(N, M))), M), J1=d(d(2, d(J, d(N, d(d(2, d(I, D1)), d(J, d(K, d(d(2, d(1, Q)), K1))))))), M), L1=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(1, d(T, d(Q, R)))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(N, d(V, d(J, d(K, d(d(2, d(1, d(2, d(1, d(T, d(Q, E1)))))), K1))))))), M))))), K1))))))), M), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, A))))), X))), H1)))), X)), M), G=d(d(d(d(2, d(1, 2)), 1), M1), d(2, d(1, d(d(2, d(1, d(A, d(d(D, B), B)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, D1)))), X))), d(d(2, d(1, d(2, K1))), X))))), X)), M))))), K1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(A, d(B, O1)), U=d(A, O1), M1=d(A, C), I1=d(G1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), X))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(P, F1)))), X)))))), X)))))), F1)))), X))), M))))), P1=d(d(D, d(d(2, d(1, d(A, Q1))), U)), d(d(2, d(1, N1)), d(A, d(B, Q1)))), Q1=d(d(D, d(d(2, d(1, d(A, R1))), d(A, S1))), d(d(2, d(1, d(A, d(B, S1)))), d(A, d(B, R1)))), R1=d(d(D, d(d(2, d(J, d(N, d(V, d(J, d(K, d(d(2, d(1, d(2, d(1, d(T, d(Q, U)))))), K1))))))), M)), d(d(2, d(J, d(N, d(V, d(J, d(K, d(d(2, d(1, d(2, d(1, d(T, d(Q, N1)))))), K1))))))), M)), O1=d(d(D, J1), J1), S1=d(d(D, L1), L1), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(I, d(2, d(1, H1)))))))), X))), d(I, d(2, d(1, A))))))), X)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, D)))), d(W, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), C1)))), X)))))), d(W, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), C1)))), X))))), E=d(M1, d(1, d(B, d(d(D, d(d(2, d(1, d(A, P1))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(A, d(B, P1)))))))]).
mm_proof('3bior1fand', d(d(d(d(2, d(1, 2)), 1), d(A, d(B, C))), d(d(2, d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(A, E)))), d(F, G)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(F, d(d(d(d(2, d(1, 2)), 1), B), G))))), d(A, d(B, E)))))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, D))), S=d(2, d(1, T)), U=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), V=d(2, d(1, W)), X=d(2, d(K, d(J, d(1, d(S, O))))), Y=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, Z))))), d(1, A1)))), N=d(2, d(L, B1)), C1=d(3, d(N, Q)), D1=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, B1))))), Z))), I=d(d(d(2, d(1, 2)), 1), 1), H=d(d(d(2, d(1, 2)), 1), 2), E1=d(d(d(2, d(1, 2)), 1), L), F=d(d(d(2, d(1, 2)), 1), A), O=d(d(2, 1), 1), F1=d(J, 1), G1=d(J, d(1, H1)), Z=d(J, O), I1=d(J, d(d(2, d(1, J1)), Q)), Q=d(L, Z), D=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), I1)))), Z))), A1=d(d(2, d(1, d(2, O))), Z), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), I1)))), Z), A=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, D1)), d(A, d(d(3, d(3, d(1, L1))), L1))), H1=d(U, 1), T=d(U, d(P, Z)), J1=d(d(2, d(L, d(P, O))), O), M1=d(d(2, d(L, d(P, d(d(2, d(K, G1)), d(L, d(M, d(d(2, d(1, S)), N1))))))), O), O1=d(d(2, d(L, d(P, d(d(2, d(K, d(J, d(1, d(V, d(S, T)))))), d(L, d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(L, d(P, d(X, d(L, d(M, d(d(2, d(1, d(2, d(1, d(V, d(S, H1)))))), N1))))))), O))))), N1))))))), O), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(J, A))))), Z))), K1)))), Z)), O), G=d(d(d(d(2, d(1, 2)), 1), P1), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(A, d(d(D, B), B)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, G1)))), Z))), d(d(2, d(1, d(2, N1))), Z))))), Z)), O))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(E1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(E1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(H, d(I, d(H, 1)))), I1))))), Z)))), d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), I1)))), Z)))))), Z))))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I1))))), Z)))), O))), N1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(A, d(B, R1)), W=d(A, R1), P1=d(A, C), L1=d(J1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1)))), Z))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(R, I1)))), Z)))))), Z)))))), I1)))), Z))), O))))), S1=d(d(D, d(d(2, d(1, d(A, T1))), W)), d(d(2, d(1, Q1)), d(A, d(B, T1)))), T1=d(d(D, d(d(2, d(1, d(A, U1))), d(A, V1))), d(d(2, d(1, d(A, d(B, V1)))), d(A, d(B, U1)))), U1=d(d(D, d(d(2, d(L, d(P, d(X, d(L, d(M, d(d(2, d(1, d(2, d(1, d(V, d(S, W)))))), N1))))))), O)), d(d(2, d(L, d(P, d(X, d(L, d(M, d(d(2, d(1, d(2, d(1, d(V, d(S, Q1)))))), N1))))))), O)), R1=d(d(D, M1), M1), V1=d(d(D, O1), O1), C=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(J, d(K, d(2, d(1, K1)))))))), Z))), d(K, d(2, d(1, A))))))), Z)), O)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, D)))), d(Y, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), F1)))), Z)))))), d(Y, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K1))), F1)))), Z))))), E=d(P1, d(1, d(B, d(d(D, d(d(2, d(1, d(A, S1))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(A, d(B, S1)))))))]).
mm_proof('3bior2fd', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(C, d(D, d(E, F))))), G)))), d(d(d(d(2, d(1, 2)), 1), H), d(E, d(I, F)))))-[J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, S))), T=d(2, d(1, U)), V=d(2, d(1, d(W, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Y=d(2, d(1, Z)), A1=d(2, d(K, d(J, d(1, d(T, O))))), B1=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, C1))))), d(1, D1)))), N=d(2, d(L, E1)), F1=d(3, d(N, Q)), G1=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, E1))))), C1))), D=d(d(d(2, d(1, 2)), 1), 1), C=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), S), E=d(d(d(2, d(1, 2)), 1), W), I=d(d(d(2, d(1, 2)), 1), X), A=d(d(d(2, d(1, 2)), 1), d(W, d(X, H1))), I1=d(d(d(2, d(1, 2)), 1), J1), H=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(C, d(D, d(E, d(I, K1))))), O=d(d(2, 1), 1), L1=d(J, 1), M1=d(J, d(1, N1)), C1=d(J, O), O1=d(J, d(d(2, d(1, P1)), Q)), Q=d(L, C1), S=d(d(2, d(1, d(2, d(1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), O1)))), C1))), D1=d(d(2, d(1, d(2, O))), C1), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), O1)))), C1), W=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q1=d(d(2, d(1, G1)), d(W, d(d(3, d(3, d(1, R1))), R1))), N1=d(V, 1), U=d(V, d(P, C1)), P1=d(d(2, d(L, d(P, O))), O), S1=d(d(2, d(L, d(P, d(d(2, d(K, M1)), d(L, d(M, d(d(2, d(1, T)), T1))))))), O), U1=d(d(2, d(L, d(P, d(d(2, d(K, d(J, d(1, d(Y, d(T, U)))))), d(L, d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(L, d(P, d(A1, d(L, d(M, d(d(2, d(1, d(2, d(1, d(Y, d(T, N1)))))), T1))))))), O))))), T1))))))), O), X=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(J, W))))), C1))), Q1)))), C1)), O), G=d(E, K1), K1=d(I1, d(2, d(1, d(d(2, d(1, d(W, d(d(S, X), X)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, M1)))), C1))), d(d(2, d(1, d(2, T1))), C1))))), C1)), O))))), F=d(I1, d(A, d(d(2, d(B, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(W, V1)))), G))), d(H, d(W, d(X, V1)))))), T1=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W1=d(W, d(X, X1)), Z=d(W, X1), J1=d(W, H1), R1=d(P1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O1)))), C1))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(R, O1)))), C1)))))), C1)))))), O1)))), C1))), O))))), Y1=d(d(S, d(d(2, d(1, d(W, Z1))), Z)), d(d(2, d(1, W1)), d(W, d(X, Z1)))), Z1=d(d(S, d(d(2, d(1, d(W, A2))), d(W, B2))), d(d(2, d(1, d(W, d(X, B2)))), d(W, d(X, A2)))), A2=d(d(S, d(d(2, d(L, d(P, d(A1, d(L, d(M, d(d(2, d(1, d(2, d(1, d(Y, d(T, Z)))))), T1))))))), O)), d(d(2, d(L, d(P, d(A1, d(L, d(M, d(d(2, d(1, d(2, d(1, d(Y, d(T, W1)))))), T1))))))), O)), X1=d(d(S, S1), S1), B2=d(d(S, U1), U1), H1=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(J, d(K, d(2, d(1, Q1)))))))), C1))), d(K, d(2, d(1, W))))))), C1)), O)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, S)))), d(B1, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), L1)))), C1)))))), d(B1, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q1))), L1)))), C1))))), V1=d(J1, d(1, d(X, d(d(S, d(d(2, d(1, d(W, Y1))), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(W, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(W, d(X, Y1)))))))]).
mm_proof('3biant1d', d(d(d(d(2, d(1, 2)), 1), A), d(d(2, d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(C, D)))), d(E, F)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), 2), d(d(d(d(2, d(1, 2)), 1), 1), d(E, d(d(d(d(2, d(1, 2)), 1), G), F))))), d(C, d(G, D)))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(L, M))))), N=d(2, d(1, d(2, B))), O=d(2, d(1, M)), P=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, Q))))), d(1, R)))), L=d(2, d(J, S)), T=d(3, d(L, U)), V=d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, S))))), Q))), E=d(d(d(2, d(1, 2)), 1), C), M=d(d(2, 1), 1), W=d(H, 1), Q=d(H, M), X=d(H, d(d(2, d(1, Y)), U)), U=d(J, Q), Z=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), X)))), Q)), A1=d(d(2, d(1, d(2, d(1, d(O, B1))))), Z), B=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z), R=d(d(2, d(1, d(2, M))), Q), S=d(d(2, d(1, d(2, d(d(2, d(1, O)), X)))), Q), C1=d(d(2, d(1, d(2, A1))), Q), C=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, V)), d(C, d(d(3, d(3, d(1, E1))), E1))), F1=d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), X)))), Q)))))), Q))))), G1), Y=d(d(2, d(J, d(d(2, d(1, d(2, U))), M))), M), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, C))))), Q))), D1)))), Q)), M), F=d(d(d(d(2, d(1, 2)), 1), H1), d(2, d(1, d(A, d(d(B, d(d(2, d(1, d(C, I1))), d(C, J1))), d(d(2, d(1, d(C, d(G, J1)))), d(C, d(G, I1)))))))), G1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(C, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(C, d(G, K1)), H1=d(C, K1), E1=d(Y, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), Q))), M))), d(3, d(L, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(N, X)))), Q)))))), Q)))))), X)))), Q))), M))))), L1=d(d(B, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, C1)), B1))))), Z)))))), Q)))), X)))), Q)))))), Q))))), G1)))), X)))), Q)))))), Q))))), G1)), d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), B1))))), Z)))))), Q)))))), Q)))), X)))), Q)))))), Q))))), G1)))), Q)))), X)))), Q)))))), Q))))), G1)), K1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(I, d(2, d(1, D1)))))))), Q))), d(I, d(2, d(1, C))))))), Q)), M)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), W)))), Q)))))), d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), W)))), Q))))), D=d(H1, d(1, d(G, d(d(B, d(d(2, d(1, d(C, L1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(G, L1))))))), I1=d(H1, d(1, d(d(B, F1), F1))), J1=d(H1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(H, d(1, d(d(2, d(1, d(3, d(L, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), X)))), Q)))))), Q))))), G1))))))), Q))), C1)))), Q)), M))]).
mm_proof(intn3an1d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, 1)))), D))))), E)))), d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), d(J, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(L, J))))), E))), d(d(2, d(1, M)), d(J, d(d(3, d(3, d(1, N))), N))))))), E)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), P)))), E)))), d(L, I))))), E)))), E)))), D)))), E)))))), E))))), Q))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), D))))), E)))), O)-[L=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, O))))), K=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), F=d(2, d(G, R)), S=d(3, d(F, T)), M=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, R))))), E))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), E=d(L, O), D=d(L, d(d(2, d(1, U)), T)), T=d(G, E), P=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), E)))), D)))), E)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), D)))), E), J=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), D)))), E)))))), E))))), Q), U=d(d(2, d(G, d(d(2, d(1, d(2, T))), O))), O), Q=d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(U, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), E))), O))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(K, D)))), E)))))), E)))))), D)))), E))), O)))))]).
mm_proof(intn3an2d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, 1)))), D))))), E)))), d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(I, D)))), E)))))), E))))), K)))))), E)))), E)))), D)))), E)))))), E))))), K))), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), D))))), E)))), M)-[J=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, M))))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), D)))), E)))))), E))))), K))), d(L, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(J, L))))), E))), d(d(2, d(1, O)), d(L, d(d(3, d(3, d(1, Q))), Q))))))), E)), M), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), P)))), E)))), F=d(2, d(G, R)), S=d(3, d(F, T)), O=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, R))))), E))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), G), M=d(d(2, 1), 1), E=d(J, M), D=d(J, d(d(2, d(1, U)), T)), T=d(G, E), P=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), E)))), D)))), E)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), D)))), E), L=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(G, d(d(2, d(1, d(2, T))), M))), M), K=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q=d(U, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), E))), M))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(N, D)))), E)))))), E)))))), D)))), E))), M)))))]).
mm_proof(intn3an3d, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(C, d(A, 1)))), D))))), E)))), d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I)), J))))), K)))), E)))), d(L, I))))), E)))), E)))), D)))), E)))))), E))))), M))), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), D))))), E)))), O)-[L=d(2, d(1, 1)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, O))))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), F=d(2, d(G, R)), S=d(3, d(F, T)), Q=d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, R))))), E))), C=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), E=d(L, O), D=d(L, d(d(2, d(1, U)), T)), T=d(G, E), K=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), E)))), D)))), E)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), D)))), E), N=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I=d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), D)))), E)))))), E))))), M))), J))))), K)))), E)))), D)))), E)))))), E))))), M), U=d(d(2, d(G, d(d(2, d(1, d(2, T))), O))), O), M=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J=d(N, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(L, N))))), E))), d(d(2, d(1, Q)), d(N, d(d(3, d(3, d(1, V))), V))))))), E)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(U, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), E))), O))), d(3, d(F, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(P, D)))), E)))))), E)))))), D)))), E))), O)))))]).
mm_proof(an3andi, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, A))), N=d(2, d(1, O)), P=d(2, d(1, B)), Q=d(2, d(1, d(B, R))), S=d(2, d(1, d(B, T))), U=d(2, d(1, d(B, d(E, V)))), W=d(2, d(1, X)), Y=d(2, d(1, Z)), A1=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, B1))))), d(1, C1)))), D1=d(2, d(J, E1)), F1=d(3, d(D1, G1)), H1=d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, E1))))), B1))), O=d(d(2, 1), 1), I1=d(H, 1), B1=d(H, O), J1=d(H, K1), G1=d(J, B1), L1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), J1)))), B1)), M1=d(d(2, d(1, d(2, d(1, d(N, N1))))), L1), A=d(d(2, d(1, d(2, d(1, d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1), C1=d(d(2, d(1, d(2, O))), B1), E1=d(d(2, d(1, d(2, d(d(2, d(1, N)), J1)))), B1), O1=d(d(2, d(1, d(2, M1))), B1), B=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(1, H1)), Q1), R1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), J1)))), B1)))))), B1))))), S1), T1=d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), J1)))), B1)))))), B1))))), S1), K1=d(d(2, d(1, U1)), G1), U1=d(d(2, d(J, d(d(2, d(1, d(2, G1))), O))), O), L=d(D1, O), V1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(1, R1)))))), B1))), O1)))), B1)), O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, B))))), B1))), P1)))), B1)), O), W1=d(d(3, d(3, d(1, X1))), X1), S1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(B, W1), N1=d(B, Y1), Z1=d(B, d(E, R)), A2=d(B, d(E, T)), B2=d(B, d(E, C2)), D2=d(B, d(E, E2)), X=d(B, d(E, F2)), G2=d(B, G), H2=d(B, d(d(A, d(d(2, d(1, d(B, I2))), d(B, J2))), d(d(2, d(1, d(B, d(E, J2)))), d(B, d(E, I2))))), K2=d(B, C2), Z=d(B, E2), L2=d(B, V), M2=d(B, F2), X1=d(U1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), B1))), O))), d(3, d(D1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, J1)))), B1)))))), B1)))))), J1)))), B1))), O))))), N2=d(V1, R1), O2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(E, G), T=d(E, P2), Q2=d(E, d(d(A, d(d(2, d(1, N1)), Q1)), d(d(2, d(1, d(B, d(E, W1)))), d(B, d(E, Y1))))), R2=d(E, d(d(A, d(d(2, d(1, d(B, S2))), G2)), d(Q, d(B, d(E, S2))))), I2=d(E, d(d(A, d(d(2, d(1, d(B, T2))), L2)), d(U, d(B, d(E, T2))))), G=d(d(A, T1), T1), P2=d(d(A, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, O1)), N1))))), L1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), J1)))), B1)))))), B1))))), S1)), d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(A1, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, M1)), N1))))), L1)))))), B1)))))), B1)))), J1)))), B1)))))), B1))))), S1)))), B1)))), J1)))), B1)))))), B1))))), S1)), C=d(d(A, d(d(2, d(1, d(B, O2))), d(B, U2))), d(d(2, d(1, d(B, d(E, U2)))), d(B, d(E, O2)))), S2=d(d(A, d(Q, d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), Z1)), W2=d(d(A, d(Q, d(B, X2))), d(d(2, d(1, d(B, d(E, X2)))), Z1)), Y2=d(d(A, d(S, d(B, Z2))), d(d(2, d(1, d(B, d(E, Z2)))), A2)), A3=d(d(A, d(S, d(B, B3))), d(d(2, d(1, d(B, d(E, B3)))), A2)), C3=d(d(A, d(d(2, d(1, d(B, Q2))), d(B, N2))), d(d(2, d(1, d(B, d(E, N2)))), d(B, d(E, Q2)))), D3=d(d(A, d(d(2, d(1, d(B, W2))), G2)), d(Q, d(B, d(E, W2)))), E3=d(d(A, d(d(2, d(1, d(B, A3))), d(B, P2))), d(S, d(B, d(E, A3)))), U2=d(d(A, d(d(2, d(1, d(B, D3))), d(B, F3))), d(d(2, d(1, d(B, d(E, F3)))), d(B, d(E, D3)))), F3=d(d(A, d(d(2, d(1, d(B, E3))), d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), d(B, d(E, E3)))), J2=d(d(A, d(d(2, d(1, d(B, G3))), d(B, H3))), d(d(2, d(1, d(B, d(E, H3)))), d(B, d(E, G3)))), T2=d(d(A, d(d(2, d(1, d(B, I3))), Z)), d(d(2, d(1, D2)), d(B, d(E, I3)))), G3=d(d(A, d(d(2, d(1, d(B, J3))), K2)), d(d(2, d(1, B2)), d(B, d(E, J3)))), I3=d(d(A, d(Y, L2)), d(U, D2)), K3=d(d(A, L), K1), C2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, P1)))))))), B1))), d(I, P))))), B1)), O)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(A1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), I1)))), B1)))))), d(A1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P1))), I1)))), B1))))), J3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, L3))))))), B1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Y, L3))))), B1)))), B1)))))), B1)), O)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(P, O))))))), B1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Y, O))))), B1)))), B1)))))), B1)), O)), E2=d(d(A, E), E), V=d(d(A, d(B2, d(d(A, d(d(2, d(1, d(B, M3))), M2)), d(W, d(B, d(E, M3)))))), d(B2, d(d(A, d(d(2, d(1, d(B, N3))), M2)), d(W, d(B, d(E, N3)))))), L3=d(B2, d(d(A, d(d(2, d(1, d(B, O3))), d(B, P3))), d(d(2, d(1, d(B, d(E, P3)))), d(B, d(E, O3))))), D=d(H2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V2=d(H2, d(1, d(E, d(d(B, d(d(A, d(d(2, d(1, d(B, C3))), d(B, Q3))), d(d(2, d(1, d(B, d(E, Q3)))), d(B, d(E, C3))))), O)))), Z2=d(H2, F), B3=d(H2, d(1, d(d(A, d(Q, d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), Z1)))), X2=d(H2, d(1, F3)), M3=d(K2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N3=d(K2, d(1, Y1)), R3=d(K2, d(1, d(E, K3))), S3=d(K2, F), O3=d(K2, d(1, K3)), H3=d(K2, d(1, J3)), F2=d(K2, O), T3=d(K2, V1), Q3=d(K2, d(B2, d(d(A, d(d(2, d(1, d(B, S3))), d(B, T3))), d(d(2, d(1, d(B, d(E, T3)))), d(B, d(E, S3)))))), P3=d(K2, d(B2, d(d(A, d(d(2, d(1, M2)), d(B, R3))), d(d(2, d(1, d(B, d(E, R3)))), X))))]).
mm_proof(an33rean, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, M)), N=d(2, d(1, B)), O=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, R))), S=d(2, d(1, T)), U=d(2, d(1, d(B, d(E, V)))), W=d(2, d(1, X)), Y=d(2, d(1, d(B, d(E, Z)))), A1=d(2, d(1, d(B, d(E, B1)))), C1=d(2, d(1, d(B, d(E, D1)))), E1=d(2, d(1, F1)), G1=d(2, d(1, H1)), I1=d(2, d(1, J1)), K1=d(2, d(1, L1)), M1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, N1))))), d(1, O1)))), P1=d(2, d(H, Q1)), R1=d(3, d(P1, S1)), T1=d(3, d(P1, d(d(2, d(1, d(2, d(H, d(I, Q1))))), N1))), M=d(d(2, 1), 1), U1=d(F, 1), N1=d(F, M), V1=d(F, W1), S1=d(H, N1), X1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), V1)))), N1)), Y1=d(d(2, d(1, d(2, d(1, d(L, Z1))))), X1), A=d(d(2, d(1, d(2, d(1, d(T1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X1), O1=d(d(2, d(1, d(2, M))), N1), Q1=d(d(2, d(1, d(2, d(d(2, d(1, L)), V1)))), N1), A2=d(d(2, d(1, d(2, Y1))), N1), B=d(d(2, d(1, R1)), d(R1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B2=d(d(2, d(1, T1)), d(B, d(d(3, d(3, d(1, C2))), C2))), D2=d(d(2, d(1, d(3, d(P1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A2))), V1)))), N1)))))), N1))))), E2), W1=d(d(2, d(1, F2)), S1), F2=d(d(2, d(H, d(d(2, d(1, d(2, S1))), M))), M), J=d(P1, M), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), N1))), B2)))), N1)), M), G2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z1=d(B, H2), I2=d(B, d(E, P)), J2=d(B, d(E, R)), K2=d(B, d(E, L2)), T=d(B, L2), X=d(B, M2), N2=d(B, d(E, O2)), P2=d(B, d(E, Q2)), F1=d(B, d(E, R2)), H1=d(B, d(E, S2)), T2=d(B, U2), J1=d(B, V2), W2=d(B, V), X2=d(B, d(d(A, d(d(2, d(1, d(B, Y2))), d(B, Z2))), d(d(2, d(1, d(B, d(E, Z2)))), d(B, d(E, Y2))))), A3=d(B, B3), C3=d(B, Z), D3=d(B, O2), L1=d(B, Q2), E3=d(B, B1), F3=d(B, D1), G3=d(B, R2), H3=d(B, S2), C2=d(F2, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V1)))), N1))), M))), d(3, d(P1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, V1)))), N1)))))), N1)))))), V1)))), N1))), M))))), P=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R=d(E, U2), L2=d(E, V2), M2=d(E, B3), I3=d(E, d(d(A, d(d(2, d(1, d(B, J3))), d(B, K3))), d(d(2, d(1, d(B, d(E, K3)))), d(B, d(E, J3))))), L3=d(E, d(d(A, d(d(2, d(1, d(B, M3))), G2)), d(O, d(B, d(E, M3))))), N3=d(E, d(d(A, d(d(2, d(1, d(B, O3))), W2)), d(U, d(B, d(E, O3))))), P3=d(E, d(d(A, d(d(2, d(1, d(B, Q3))), d(B, R3))), d(d(2, d(1, d(B, d(E, R3)))), d(B, d(E, Q3))))), Y2=d(E, d(d(A, d(d(2, d(1, d(B, S3))), E3)), d(A1, d(B, d(E, S3))))), U2=d(d(A, D2), D2), V2=d(d(A, d(d(2, d(1, d(3, d(P1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(P1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M1, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A2)), Z1))))), X1)))))), N1)))), V1)))), N1)))))), N1))))), E2)))), V1)))), N1)))))), N1))))), E2)), d(d(2, d(1, d(3, d(P1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(P1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M1, d(F, d(d(2, d(1, d(2, d(M1, d(F, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Y1)), Z1))))), X1)))))), N1)))))), N1)))), V1)))), N1)))))), N1))))), E2)))), N1)))), V1)))), N1)))))), N1))))), E2)), T3=d(d(A, d(O, d(B, U3))), d(d(2, d(1, d(B, d(E, U3)))), I2)), J3=d(d(A, d(O, d(B, V3))), d(d(2, d(1, d(B, d(E, V3)))), I2)), W3=d(d(A, d(O, d(B, X3))), d(d(2, d(1, d(B, d(E, X3)))), I2)), M3=d(d(A, d(Q, d(B, P3))), d(d(2, d(1, d(B, d(E, P3)))), J2)), Y3=d(d(A, d(Q, d(B, Z3))), d(d(2, d(1, d(B, d(E, Z3)))), J2)), A4=d(d(A, d(Q, F3)), d(C1, J2)), B4=d(d(A, d(Q, G3)), d(E1, J2)), C4=d(d(A, d(Q, d(B, D4))), d(d(2, d(1, d(B, d(E, D4)))), J2)), E4=d(d(A, d(Q, d(B, F4))), d(d(2, d(1, d(B, d(E, F4)))), J2)), G4=d(d(A, d(Q, d(B, H4))), d(d(2, d(1, d(B, d(E, H4)))), J2)), I4=d(d(A, d(Q, d(B, J4))), d(d(2, d(1, d(B, d(E, J4)))), J2)), K4=d(d(A, d(S, d(B, L4))), d(d(2, d(1, d(B, d(E, L4)))), K2)), R3=d(d(A, d(S, d(B, M4))), d(d(2, d(1, d(B, d(E, M4)))), K2)), Z3=d(d(A, d(S, G3)), d(E1, K2)), N4=d(d(A, d(S, d(B, O4))), d(d(2, d(1, d(B, d(E, O4)))), K2)), V=d(d(A, d(W, d(B, P4))), d(d(2, d(1, d(B, d(E, P4)))), d(B, d(E, M2)))), O3=d(d(A, d(d(2, d(1, d(B, L3))), G2)), d(O, d(B, d(E, L3)))), Q4=d(d(A, d(d(2, d(1, d(B, N3))), W2)), d(U, d(B, d(E, N3)))), B3=d(d(A, d(I1, G2)), d(O, T)), U3=d(d(A, d(I1, d(B, R4))), d(d(2, d(1, d(B, d(E, R4)))), T)), D=d(d(A, d(d(2, d(1, d(B, W3))), G2)), d(O, d(B, d(E, W3)))), P4=d(d(A, d(d(2, d(1, d(B, Y3))), A3)), d(W, d(B, d(E, Y3)))), S4=d(d(A, d(d(2, d(1, d(B, A4))), T2)), d(Q, d(B, d(E, A4)))), Q3=d(d(A, d(d(2, d(1, d(B, B4))), T2)), d(Q, d(B, d(E, B4)))), T4=d(d(A, d(d(2, d(1, d(B, C4))), T2)), d(Q, d(B, d(E, C4)))), U4=d(d(A, d(d(2, d(1, d(B, E4))), T2)), d(Q, d(B, d(E, E4)))), V4=d(d(A, d(d(2, d(1, d(B, G4))), T2)), d(Q, d(B, d(E, G4)))), W4=d(d(A, d(d(2, d(1, d(B, I4))), T2)), d(Q, d(B, d(E, I4)))), Z=d(d(A, d(d(2, d(1, d(B, N4))), J1)), d(S, d(B, d(E, N4)))), K3=d(d(A, d(d(2, d(1, d(B, S4))), F3)), d(C1, d(B, d(E, S4)))), R4=d(d(A, d(d(2, d(1, d(B, U4))), T)), d(d(2, d(1, K2)), d(B, d(E, U4)))), V3=d(d(A, d(d(2, d(1, d(B, V4))), C3)), d(Y, d(B, d(E, V4)))), X3=d(d(A, d(d(2, d(1, d(B, W4))), d(B, X4))), d(d(2, d(1, d(B, d(E, X4)))), d(B, d(E, W4)))), Z2=d(d(A, d(d(2, d(1, d(B, Y4))), d(B, Z4))), d(d(2, d(1, d(B, d(E, Z4)))), d(B, d(E, Y4)))), S3=d(d(A, d(d(2, d(1, d(B, A5))), L1)), d(d(2, d(1, P2)), d(B, d(E, A5)))), L4=d(d(A, d(d(2, d(1, d(B, B5))), d(B, C5))), d(d(2, d(1, d(B, d(E, C5)))), d(B, d(E, B5)))), Y4=d(d(A, d(d(2, d(1, d(B, D5))), D3)), d(d(2, d(1, N2)), d(B, d(E, D5)))), A5=d(d(A, d(K1, E3)), d(A1, P2)), B5=d(d(A, d(d(2, d(1, G3)), C3)), d(Y, F1)), C=d(d(A, d(d(2, d(1, d(B, E5))), d(B, I3))), d(d(2, d(1, d(B, d(E, I3)))), d(B, d(E, E5)))), F5=d(d(A, J), W1), O2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, B2)))))))), N1))), d(G, N))))), N1)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(M1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), U1)))), N1)))))), d(M1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B2))), U1)))), N1))))), D5=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, G5))))))), N1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(K1, G5))))), N1)))), N1)))))), N1)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), N1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(K1, M))))), N1)))), N1)))))), N1)), M)), Q2=d(d(A, E), E), B1=d(d(A, d(N2, d(d(A, d(d(2, d(1, d(B, H5))), H3)), d(G1, d(B, d(E, H5)))))), d(N2, d(d(A, d(d(2, d(1, d(B, I5))), H3)), d(G1, d(B, d(E, I5)))))), G5=d(N2, d(d(A, d(d(2, d(1, d(B, J5))), d(B, K5))), d(d(2, d(1, d(B, d(E, K5)))), d(B, d(E, J5))))), D1=d(X2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M4=d(X2, d(1, d(d(A, M), M))), R2=d(X2, d(1, U2)), C5=d(X2, d(1, V2)), O4=d(X2, d(1, Y3)), D4=d(X2, d(1, B3)), E5=d(X2, d(1, d(d(A, d(d(2, d(1, d(B, T3))), G2)), d(O, d(B, d(E, T3)))))), L5=d(X2, d(1, P4)), F4=d(X2, d(1, d(d(A, d(d(2, d(1, d(B, K4))), J1)), d(S, d(B, d(E, K4)))))), H4=d(X2, d(1, Z)), X4=d(X2, d(1, d(d(A, d(d(2, d(1, A3)), d(B, Q4))), d(d(2, d(1, d(B, d(E, Q4)))), X)))), J4=d(X2, d(1, d(d(A, d(d(2, d(1, d(B, T4))), d(B, L5))), d(d(2, d(1, d(B, d(E, L5)))), d(B, d(E, T4)))))), H5=d(D3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I5=d(D3, d(1, H2)), M5=d(D3, d(1, d(E, F5))), J5=d(D3, d(1, F5)), Z4=d(D3, d(1, D5)), S2=d(D3, M), K5=d(D3, d(N2, d(d(A, d(d(2, d(1, H3)), d(B, M5))), d(d(2, d(1, d(B, d(E, M5)))), H1))))]).
mm_proof('3orel2', d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, A)), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), C)))), d(D, E))))), C))))), d(D, d(F, d(d(G, d(d(2, d(1, d(F, H))), E)), d(d(2, d(1, d(F, d(I, J)))), d(F, d(I, H)))))))))), C)-[D=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(N, O))))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, G))), S=d(2, d(1, T)), U=d(2, d(1, d(F, V))), W=d(2, d(1, d(F, d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), X=d(2, d(1, Y)), A=d(2, d(1, Z)), A1=d(2, d(K, d(D, d(1, d(S, O))))), N=d(2, d(L, B1)), C1=d(3, d(N, Q)), D1=d(3, d(N, d(d(2, d(1, d(2, d(L, d(M, B1))))), C))), O=d(d(2, 1), 1), C=d(D, O), E1=d(D, d(d(2, d(1, F1)), Q)), Q=d(L, C), G=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), C)))), E1)))), C))), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), E1)))), C), F=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(W, 1), T=d(W, d(P, C)), F1=d(d(2, d(L, d(P, O))), O), H1=d(d(2, d(L, d(P, d(d(2, d(K, d(D, d(1, G1)))), d(L, d(M, d(d(2, d(1, S)), B))))))), O), I1=d(d(2, d(L, d(P, d(d(2, d(K, d(D, d(1, d(A, d(S, T)))))), d(L, d(M, d(d(2, d(1, d(2, d(1, d(d(2, d(L, d(P, d(A1, d(L, d(M, d(d(2, d(1, d(2, d(1, d(A, d(S, G1)))))), B))))))), O))))), B))))))), O), I=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(D, F))))), C))), d(d(2, d(1, D1)), d(F, d(d(3, d(3, d(1, J1))), J1))))))), C)), O), B=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y=d(F, d(I, K1)), E=d(F, J), Z=d(F, K1), J1=d(F1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), C))), O))), d(3, d(N, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(R, E1)))), C)))))), C)))))), E1)))), C))), O))))), V=d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H=d(d(G, d(U, Z)), d(X, d(F, d(I, V)))), J=d(d(G, d(d(2, d(1, d(F, L1))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(U, d(F, d(I, L1)))), L1=d(d(G, d(d(2, d(1, d(F, M1))), Z)), d(X, d(F, d(I, M1)))), M1=d(d(G, d(d(2, d(1, d(F, N1))), d(F, O1))), d(d(2, d(1, d(F, d(I, O1)))), d(F, d(I, N1)))), N1=d(d(G, d(d(2, d(L, d(P, d(A1, d(L, d(M, d(d(2, d(1, d(2, d(1, d(A, d(S, Z)))))), B))))))), O)), d(d(2, d(L, d(P, d(A1, d(L, d(M, d(d(2, d(1, d(2, d(1, d(A, d(S, Y)))))), B))))))), O)), K1=d(d(G, H1), H1), O1=d(d(G, I1), I1)]).
mm_proof('3orel3', d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(A, d(B, d(d(2, d(d(2, d(1, 2)), d(C, d(1, d(D, E))))), d(A, d(d(2, d(1, d(2, d(1, d(F, G))))), d(d(2, d(1, d(2, d(1, d(B, E))))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G)))), E)))), d(C, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), E)-[C=d(2, d(1, 1)), A=d(2, d(1, 3)), D=d(2, d(1, d(2, d(1, G)))), B=d(2, d(1, d(2, I))), F=d(2, d(A, d(d(2, d(1, d(2, d(D, d(C, d(d(2, d(1, d(d(2, d(A, d(B, G))), G))), I)))))), E))), J=d(3, d(F, I)), G=d(d(2, 1), 1), E=d(C, G), I=d(A, E), H=d(d(2, d(1, J)), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof('3orel13', d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, E))))), d(1, d(d(2, d(1, d(2, F))), E))))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(B, d(H, d(d(2, d(D, d(G, d(1, d(I, E))))), d(B, d(C, d(d(2, d(1, d(2, d(1, d(H, E))))), F))))))), J)))), E)))), d(G, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), E)))))), E)))), L)))), E)))))), E))))), d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[G=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), C=d(2, d(1, d(2, d(1, d(A, J))))), H=d(2, d(1, d(2, M))), A=d(2, d(B, d(d(2, d(1, d(2, d(I, L)))), E))), N=d(3, d(A, M)), J=d(d(2, 1), 1), E=d(G, J), L=d(G, d(d(2, d(1, d(d(2, d(B, d(H, J))), J))), M)), M=d(B, E), K=d(d(2, d(1, N)), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))]).
mm_proof('3pm3.2ni', d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(E, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(C, d(D, d(E, d(D, d(E, d(E, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(d(d(d(2, d(1, 2)), 1), G), d(H, d(I, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(H, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(H, d(I, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(B, d(H, d(I, d(H, d(I, d(I, d(J, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(K, d(L, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, 1))))), N))))), O)))), P))))), Q))))))))), N)))))), O))))), P)))))), Q)))))))))), N))))))), O)))))), P)))))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(T, d(U, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), N)))), O))), P)))))-[V=d(1, P), W=d(2, d(1, 1)), S=d(2, d(1, 3)), X=d(2, d(1, d(2, d(1, d(R, P))))), Y=d(2, d(1, d(2, Z))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), O)))), N)))), O)))))), R=d(2, d(S, C1)), D1=d(3, d(R, Z)), B1=d(3, d(R, d(d(2, d(1, d(2, d(S, d(X, C1))))), O))), L=d(d(d(2, d(1, 2)), 1), 1), K=d(d(d(2, d(1, 2)), 1), 2), E1=d(d(d(2, d(1, 2)), 1), 3), G=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), B=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), M=d(d(d(2, d(1, 2)), 1), S), F1=d(d(d(2, d(1, 2)), 1), R), I=d(d(d(2, d(1, 2)), 1), L), H=d(d(d(2, d(1, 2)), 1), K), C=d(d(d(2, d(1, 2)), 1), B), F=d(d(d(2, d(1, 2)), 1), M), E=d(d(d(2, d(1, 2)), 1), I), D=d(d(d(2, d(1, 2)), 1), H), A=d(d(d(2, d(1, 2)), 1), J), J=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), G1)), P=d(d(2, 1), 1), O=d(W, P), N=d(W, d(d(2, d(1, G1)), Z)), Z=d(S, O), C1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), N)))), O), T=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(S, d(Y, P))), P), U=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(W, T))))), O))), d(d(2, d(1, B1)), d(T, d(d(3, d(3, d(1, H1))), H1))))))), O)), P), Q=d(E1, d(F1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(M, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(F1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(M, d(d(d(d(2, d(1, 2)), 1), Y), d(d(d(d(2, d(1, 2)), 1), d(2, d(d(2, d(1, 2)), d(W, V)))), d(M, d(d(d(d(2, d(1, 2)), 1), X), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(K, d(L, d(K, d(L, d(E1, 1)))))), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))))), P))))))), N))))), O)))), P))), H1=d(G1, d(d(2, d(1, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), O))), P))), d(3, d(R, d(d(2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(S, d(X, d(d(2, d(1, d(2, d(A1, N)))), O)))))), O)))))), N)))), O))), P)))))]).
mm_proof(dfnan2, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, C))))-[E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, I)))), J=d(2, d(1, d(2, A))), K=d(2, d(1, B)), L=d(2, d(1, d(B, d(d(A, D), D)))), M=d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, N))))), d(1, O)))), P=d(2, d(G, Q)), R=d(3, d(P, S)), T=d(3, d(P, d(d(2, d(1, d(2, d(G, d(H, Q))))), N))), U=d(d(2, 1), 1), V=d(E, 1), N=d(E, U), W=d(E, X), S=d(G, N), A=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), W)))), N))), O=d(d(2, d(1, d(2, U))), N), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, U)))), W)))), N), B=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(d(2, d(1, T)), d(B, d(d(3, d(3, d(1, Z))), Z))), X=d(d(2, d(1, A1)), S), A1=d(d(2, d(G, d(d(2, d(1, d(2, S))), U))), U), I=d(P, U), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, B))))), N))), Y)))), N)), U), B1=d(B, d(D, C1)), D1=d(B, C1), Z=d(A1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), N))), U))), d(3, d(P, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(J, W)))), N)))))), N)))))), W)))), N))), U))))), C=d(D, d(d(A, d(d(2, d(1, d(B, E1))), d(B, F1))), d(d(2, d(1, d(B, G1))), d(B, d(D, E1))))), G1=d(D, F1), F1=d(d(A, I), X), C1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, d(F, d(2, d(1, Y)))))))), N))), d(F, K))))), N)), U)), d(d(2, d(F, d(d(2, d(1, d(2, d(1, A)))), d(M, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), V)))), N)))))), d(M, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), N))))), H1=d(B1, d(d(A, d(d(2, d(1, d(B, I1))), d(B, J1))), d(d(2, d(1, d(B, d(D, J1)))), d(B, d(D, I1))))), K1=d(D1, d(1, G1)), I1=d(D1, d(1, F1)), L1=d(D1, U), J1=d(D1, d(B1, d(d(A, d(d(2, d(1, d(B, L1))), d(B, K1))), d(d(2, d(1, d(B, d(D, K1)))), d(B, d(D, L1)))))), E1=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, d(G, d(K, H1))))))), N))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, d(L, H1))))), N)))), N)))))), N)), U)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, d(G, d(K, U))))))), N))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, d(L, U))))), N)))), N)))))), N)), U))), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(nancom, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, A))), O=d(2, d(1, B)), E=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, d(d(A, F), F)))), R=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, S))))), d(1, T)))), U=d(2, d(I, V)), W=d(3, d(U, X)), Y=d(3, d(U, d(d(2, d(1, d(2, d(I, d(J, V))))), S))), M=d(d(2, 1), 1), Z=d(G, 1), S=d(G, M), A1=d(G, B1), X=d(I, S), C1=d(I, d(d(2, d(1, d(2, d(L, A1)))), S)), A=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), A1)))), S))), T=d(L, S), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, M)))), A1)))), S), B=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, Y)), d(B, d(d(3, d(3, d(1, E1))), E1))), B1=d(d(2, d(1, F1)), X), F1=d(d(2, d(I, d(d(2, d(1, d(2, X))), M))), M), K=d(U, M), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, B))))), S))), D1)))), S)), M), G1=d(B, d(F, H1)), I1=d(B, H1), E1=d(F1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), S))), M))), d(3, d(U, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(N, A1)))), S)))))), S)))))), A1)))), S))), M))))), P=d(F, D), J1=d(F, d(d(A, d(d(2, d(1, d(B, K1))), d(B, L1))), d(d(2, d(1, d(B, M1))), d(B, d(F, K1))))), M1=d(F, L1), N1=d(d(A, C1), C1), C=d(d(A, d(E, d(B, N1))), d(d(2, d(1, d(B, d(F, N1)))), d(B, d(F, P)))), D=d(d(A, d(d(2, d(1, d(B, J1))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(F, J1)))), L1=d(d(A, K), B1), H1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(H, d(2, d(1, D1)))))))), S))), d(H, O))))), S)), M)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Z)))), S)))))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), Z)))), S))))), O1=d(G1, d(d(A, d(d(2, d(1, d(B, P1))), d(B, Q1))), d(d(2, d(1, d(B, d(F, Q1)))), d(B, d(F, P1))))), R1=d(I1, d(1, M1)), P1=d(I1, d(1, L1)), S1=d(I1, M), Q1=d(I1, d(G1, d(d(A, d(d(2, d(1, d(B, S1))), d(B, R1))), d(d(2, d(1, d(B, d(F, R1)))), d(B, d(F, S1)))))), K1=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(I, d(O, O1))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(Q, O1))))), S)))), S)))))), S)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(I, d(O, M))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(Q, M))))), S)))), S)))))), S)), M))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(nannan, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, B)), M=d(2, d(1, d(B, N))), O=d(2, d(1, d(B, d(d(A, E), E)))), P=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, Q))))), d(1, R)))), S=d(2, d(H, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(H, d(I, T))))), Q))), X=d(d(2, 1), 1), Y=d(F, 1), Q=d(F, X), Z=d(F, A1), V=d(H, Q), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), B=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(B, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(H, d(d(2, d(1, d(2, V))), X))), X), J=d(S, X), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), Q))), B1)))), Q)), X), E1=d(B, d(E, F1)), G1=d(B, H1), I1=d(B, F1), J1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, K1))))))), Q))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(O, K1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(L, X))))))), Q))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(O, X))))), Q)))), Q)))))), Q)), X))), C1=d(D1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), L1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(E, d(d(A, d(d(2, d(1, d(B, N1))), G1)), d(M, d(B, d(E, N1))))), N=d(E, H1), C=d(E, d(I1, d(1, d(d(A, d(d(2, d(1, d(B, O1))), G1)), d(M, d(B, d(E, O1))))))), D=d(d(A, d(d(2, d(1, d(B, M1))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, L1))), d(B, d(E, M1)))), H1=d(d(A, J), A1), F1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, B1)))))))), Q))), d(G, L))))), Q)), X)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(P, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Y)))), Q)))))), d(P, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), K1=d(E1, d(d(A, d(d(2, d(1, d(B, P1))), d(B, Q1))), d(d(2, d(1, d(B, d(E, Q1)))), d(B, d(E, P1))))), R1=d(I1, d(1, N)), P1=d(I1, d(1, H1)), S1=d(I1, X), Q1=d(I1, d(E1, d(d(A, d(d(2, d(1, d(B, S1))), d(B, R1))), d(d(2, d(1, d(B, d(E, R1)))), d(B, d(E, S1)))))), N1=d(J1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O1=d(J1, L1)]).
mm_proof(nanim, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, B))), L=d(2, d(1, M)), N=d(2, d(1, C)), O=d(2, d(1, d(C, P))), Q=d(2, d(1, d(C, d(d(B, A), A)))), R=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, S))))), d(1, T)))), U=d(2, d(H, V)), W=d(3, d(U, X)), Y=d(3, d(U, d(d(2, d(1, d(2, d(H, d(I, V))))), S))), M=d(d(2, 1), 1), Z=d(F, 1), S=d(F, M), A1=d(F, B1), X=d(H, S), C1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), A1)))), S)), B=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1), T=d(d(2, d(1, d(2, M))), S), V=d(d(2, d(1, d(2, d(d(2, d(1, L)), A1)))), S), D1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L, E1))))), C1)))), S), C=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, Y)), G1), H1=d(d(2, d(1, d(3, d(U, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), A1)))), S)))))), S))))), I1), J1=d(d(2, d(1, d(3, d(U, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), A1)))), S)))))), S))))), I1), B1=d(d(2, d(1, K1)), X), K1=d(d(2, d(H, d(d(2, d(1, d(2, X))), M))), M), J=d(U, M), L1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(1, H1)))))), S))), D1)))), S)), M), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, C))))), S))), F1)))), S)), M), M1=d(d(3, d(3, d(1, N1))), N1), I1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G1=d(C, M1), E1=d(C, O1), P1=d(C, d(A, Q1)), R1=d(C, S1), T1=d(C, Q1), U1=d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, V1))))))), S))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(Q, V1))))), S)))), S)))))), S)), M)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(N, M))))))), S))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(Q, M))))), S)))), S)))))), S)), M))), N1=d(K1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), S))), M))), d(3, d(U, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, A1)))), S)))))), S)))))), A1)))), S))), M))))), W1=d(L1, H1), O1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y1=d(A, d(d(B, d(d(2, d(1, E1)), G1)), d(d(2, d(1, d(C, d(A, M1)))), d(C, d(A, O1))))), Z1=d(A, d(d(B, d(d(2, d(1, d(C, A2))), R1)), d(O, d(C, d(A, A2))))), P=d(A, S1), B2=d(A, d(T1, d(1, d(d(B, d(d(2, d(1, d(C, C2))), R1)), d(O, d(C, d(A, C2))))))), D2=d(d(B, d(d(2, d(1, d(C, Y1))), d(C, W1))), d(d(2, d(1, d(C, d(A, W1)))), d(C, d(A, Y1)))), E2=d(d(B, d(d(2, d(1, d(C, Z1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, X1))), d(C, d(A, Z1)))), E=d(d(B, d(d(2, d(1, d(C, B2))), d(C, E2))), d(d(2, d(1, d(C, d(A, E2)))), d(C, d(A, B2)))), S1=d(d(B, J), B1), Q1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, F1)))))))), S))), d(G, N))))), S)), M)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, B)))), d(R, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Z)))), S)))))), d(R, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), Z)))), S))))), V1=d(P1, d(d(B, d(d(2, d(1, d(C, F2))), d(C, G2))), d(d(2, d(1, d(C, d(A, G2)))), d(C, d(A, F2))))), H2=d(T1, d(1, P)), D=d(T1, d(1, d(A, d(d(C, d(d(B, d(d(2, d(1, d(C, D2))), d(C, I2))), d(d(2, d(1, d(C, d(A, I2)))), d(C, d(A, D2))))), M)))), J2=d(T1, d(1, d(d(B, J1), J1))), F2=d(T1, d(1, S1)), K2=d(T1, M), L2=d(T1, L1), I2=d(T1, d(P1, d(d(B, d(d(2, d(1, d(C, J2))), d(C, L2))), d(d(2, d(1, d(C, d(A, L2)))), d(C, d(A, J2)))))), G2=d(T1, d(P1, d(d(B, d(d(2, d(1, d(C, K2))), d(C, H2))), d(d(2, d(1, d(C, d(A, H2)))), d(C, d(A, K2)))))), A2=d(U1, O1), C2=d(U1, X1)]).
mm_proof(nannot, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(A, E)))), d(C, d(A, D)))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), P=d(2, F), Q=d(2, d(1, C)), R=d(2, d(1, d(C, d(d(B, A), A)))), S=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, T))))), d(1, U)))), V=d(2, d(J, W)), X=d(3, d(V, N)), Y=d(3, d(V, d(d(2, d(1, d(2, d(J, d(K, W))))), T))), G=d(d(2, 1), 1), Z=d(H, 1), T=d(H, G), A1=d(H, B1), N=d(J, T), B=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), A1)))), T))), U=d(d(2, d(1, d(2, G))), T), W=d(d(2, d(1, d(2, d(d(2, d(1, P)), A1)))), T), C=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, Y)), d(C, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), N), E1=d(d(2, d(J, d(M, G))), G), L=d(V, G), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, C))))), T))), C1)))), T)), G), F1=d(C, d(A, G1)), H1=d(C, G1), D1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), T))), G))), d(3, d(V, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(O, A1)))), T)))))), T)))))), A1)))), T))), G))))), I1=d(A, d(d(B, d(d(2, d(1, d(C, J1))), d(C, K1))), d(d(2, d(1, d(C, L1))), d(C, d(A, J1))))), L1=d(A, K1), E=d(d(B, d(d(2, d(1, d(C, I1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(A, I1)))), D=d(d(B, d(d(2, d(J, d(M, d(d(2, d(I, d(H, P))), d(J, d(K, F)))))), G)), 1), K1=d(d(B, L), B1), G1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(I, d(2, d(1, C1)))))))), T))), d(I, Q))))), T)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, B)))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Z)))), T)))))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), T))))), M1=d(F1, d(d(B, d(d(2, d(1, d(C, N1))), d(C, O1))), d(d(2, d(1, d(C, d(A, O1)))), d(C, d(A, N1))))), P1=d(H1, d(1, L1)), N1=d(H1, d(1, K1)), Q1=d(H1, G), O1=d(H1, d(F1, d(d(B, d(d(2, d(1, d(C, Q1))), d(C, P1))), d(d(2, d(1, d(C, d(A, P1)))), d(C, d(A, Q1)))))), J1=d(d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, d(Q, M1))))))), T))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, M1))))), T)))), T)))))), T)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, d(Q, G))))))), T))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, G))))), T)))), T)))))), T)), G))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(nanbi, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, 1), G=d(1, H), I=d(1, d(d(2, d(1, J)), K)), L=d(1, M), N=d(2, F), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, d(1, d(O, K))))), R=d(2, d(1, d(2, d(1, S)))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, H))), W=d(2, d(1, d(2, X))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, Z))))), A1)))), B1=d(2, d(1, d(2, A))), U=d(2, G), C1=d(2, d(1, B)), J=d(2, d(1, D1)), E1=d(2, d(1, F1)), G1=d(2, d(1, H1)), I1=d(2, d(1, J1)), K1=d(2, d(1, d(B, d(E, L1)))), M1=d(2, d(1, d(B, d(E, N1)))), O1=d(2, d(1, d(B, P1))), Q1=d(2, d(1, d(B, d(E, R1)))), S1=d(2, d(1, d(B, d(E, T1)))), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), Y1=d(2, d(1, Z1)), A2=d(2, d(O, d(N, d(1, d(E1, H))))), B2=d(2, d(O, d(Q, d(1, C2)))), D2=d(2, d(O, d(Q, d(O, d(N, G))))), E2=d(2, d(P, F2)), G2=d(3, d(E2, X)), H2=d(3, d(E2, d(d(2, d(1, d(2, d(P, d(R, F2))))), K))), H=d(d(2, 1), 1), I2=d(N, 1), K=d(N, H), J2=d(N, K2), L2=d(N, M2), X=d(P, K), A1=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C2))), L2)))), K)), A=d(d(2, d(1, d(2, d(1, d(H2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1), C2=d(V, K), N2=d(W, K), F2=d(d(2, d(1, d(2, d(d(2, d(1, U)), L2)))), K), B=d(d(2, d(1, G2)), d(G2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O2=d(d(2, d(1, H2)), P2), D1=d(d(2, d(1, d(3, d(E2, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), L2)))), K)))))), K))))), Q2), R2=d(d(2, d(1, d(3, d(E2, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, K)))), L2)))), K)))))), K))))), Q2), K2=d(d(2, d(1, d(3, d(E2, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, Z))))), A1)))), K)))), L2)))), K)))))), K))))), Q2), M2=d(d(2, d(1, S2)), X), M=d(G1, 1), F1=d(G1, N2), S2=d(d(2, d(P, d(W, H))), H), T2=d(d(2, d(P, d(W, d(d(2, d(O, d(N, L))), d(P, d(R, d(d(2, d(1, E1)), U2))))))), H), S=d(E2, H), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(N, B))))), K))), O2)))), K)), H), V2=d(d(3, d(3, d(1, W2))), W2), Q2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P2=d(B, V2), Z=d(B, X2), H1=d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y2=d(B, d(E, Z2)), J1=d(B, Z2), A3=d(B, d(E, B3)), C3=d(B, d(E, D3)), E3=d(B, d(E, F3)), V1=d(B, d(E, G3)), H3=d(B, I3), J3=d(B, d(d(A, d(d(2, d(1, d(B, K3))), d(B, L3))), d(d(2, d(1, d(B, d(E, L3)))), d(B, d(E, K3))))), M3=d(B, L1), N3=d(B, N1), X1=d(B, B3), O3=d(B, P3), Q3=d(B, D3), R3=d(B, S3), Z1=d(B, F3), T3=d(B, R1), U3=d(B, T1), V3=d(B, G3), W3=d(d(Y1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(N, F))))), K))), C2)))), K)), H)), d(H1, H)), W2=d(S2, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L2)))), K))), H))), d(3, d(E2, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E2, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(B1, L2)))), K)))))), K)))))), L2)))), K))), H))))), X2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y3=d(E, d(E, d(d(A, d(d(2, d(1, d(B, Z3))), d(B, A4))), d(d(2, d(1, d(B, d(E, A4)))), d(B, d(E, Z3)))))), Z2=d(E, I3), C=d(E, d(d(A, d(d(2, d(1, d(B, B4))), M3)), d(K1, d(B, d(E, B4))))), C4=d(E, d(d(A, d(d(2, d(1, d(B, D4))), N3)), d(M1, d(B, d(E, D4))))), K3=d(E, d(d(A, d(d(2, d(1, d(B, E4))), T3)), d(Q1, d(B, d(E, E4))))), F4=d(E, d(d(A, d(d(2, d(1, d(B, G4))), d(B, W3))), d(d(2, d(1, d(B, d(E, W3)))), d(B, d(E, G4))))), H4=d(E, d(d(A, d(d(2, d(1, d(B, I4))), O3)), d(O1, d(B, d(E, I4))))), P1=d(E, P3), B4=d(E, d(Q3, d(1, d(d(A, d(d(2, d(1, d(B, J4))), O3)), d(O1, d(B, d(E, J4))))))), I3=d(d(A, R2), R2), K4=d(d(A, d(d(2, d(1, Z)), P2)), d(d(2, d(1, d(B, d(E, V2)))), d(B, d(E, X2)))), L4=d(d(A, d(d(2, d(1, d(B, Y3))), d(B, M4))), d(d(2, d(1, d(B, d(E, M4)))), d(B, d(E, Y3)))), N4=d(d(A, d(I1, U3)), d(S1, Y2)), O4=d(d(A, d(I1, d(B, P4))), d(d(2, d(1, d(B, d(E, P4)))), Y2)), Z3=d(d(A, d(d(2, d(1, d(B, C4))), d(B, F4))), d(d(2, d(1, d(B, d(E, F4)))), d(B, d(E, C4)))), L1=d(d(A, d(d(2, d(1, d(B, H4))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, X3))), d(B, d(E, H4)))), Q4=d(d(A, d(d(2, d(1, d(B, L4))), d(B, K4))), d(d(2, d(1, d(B, d(E, K4)))), d(B, d(E, L4)))), R4=d(d(A, d(d(2, d(1, d(B, N4))), H3)), d(I1, d(B, d(E, N4)))), S4=d(d(A, d(d(2, d(1, d(B, O4))), H3)), d(I1, d(B, d(E, O4)))), A4=d(d(A, d(d(2, d(1, d(B, S4))), d(B, T4))), d(d(2, d(1, d(B, d(E, T4)))), d(B, d(E, S4)))), D4=d(d(A, d(d(2, d(1, d(B, U4))), X1)), d(d(2, d(1, A3)), d(B, d(E, U4)))), L3=d(d(A, d(d(2, d(1, d(B, V4))), d(B, W4))), d(d(2, d(1, d(B, d(E, W4)))), d(B, d(E, V4)))), E4=d(d(A, d(d(2, d(1, d(B, X4))), Z1)), d(d(2, d(1, E3)), d(B, d(E, X4)))), D=d(d(A, d(d(2, d(1, d(B, Y4))), d(B, Q4))), d(d(2, d(1, d(B, d(E, Q4)))), d(B, d(E, Y4)))), U4=d(d(A, d(W1, N3)), d(M1, A3)), V4=d(d(A, d(d(2, d(1, R3)), Q3)), d(d(2, d(1, C3)), d(B, d(E, S3)))), X4=d(d(A, d(Y1, T3)), d(Q1, E3)), Y4=d(d(A, d(d(2, d(1, d(B, Z4))), U2)), d(G1, d(B, d(E, Z4)))), N1=d(d(A, d(d(2, d(P, d(W, d(A2, d(P, d(R, d(d(2, d(1, d(2, d(1, d(W1, d(E1, H3)))))), U2))))))), H)), d(d(2, d(P, d(W, d(A2, d(P, d(R, d(d(2, d(1, d(2, d(1, d(W1, d(E1, J1)))))), U2))))))), H)), B3=d(d(A, T2), T2), A5=d(d(A, d(d(2, d(P, d(W, d(d(2, d(O, d(N, U))), d(P, d(R, G)))))), H)), 1), P3=d(d(A, S), M2), D3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(N, d(O, d(2, d(1, O2)))))))), K))), d(O, C1))))), K)), H)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, A)))), d(B2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), I2)))), K)))))), d(B2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O2))), I2)))), K))))), S3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(N, d(P, d(C1, B5))))))), K))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C1, d(Y1, B5))))), K)))), K)))))), K)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(N, d(P, d(C1, H))))))), K))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C1, d(Y1, H))))), K)))), K)))))), K)), H)), F3=d(d(A, E), E), G4=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(N, d(d(2, d(1, d(2, d(T, d(N, M))))), K)))))), K))), d(d(2, d(1, d(2, d(T, d(N, F1))))), K))), H)), d(d(2, d(1, d(2, d(d(2, d(P, d(W, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, D1))), K))))), d(P, d(R, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, K2))), K))))), U2))))))), H)))), K)), R1=d(d(A, d(C3, d(d(A, d(d(2, d(1, d(B, C5))), V3)), d(U1, d(B, d(E, C5)))))), d(C3, d(d(A, d(d(2, d(1, d(B, D5))), V3)), d(U1, d(B, d(E, D5)))))), Z4=d(d(d(d(2, d(1, d(2, d(1, d(C3, d(d(A, d(d(2, d(1, d(B, E5))), d(B, F5))), d(d(2, d(1, d(B, d(E, F5)))), d(B, d(E, E5))))))))), A1), X3), d(d(A, d(d(2, d(1, d(B, R4))), U3)), d(S1, d(B, d(E, R4))))), B5=d(C3, d(d(A, d(d(2, d(1, d(B, G5))), d(B, H5))), d(d(2, d(1, d(B, d(E, H5)))), d(B, d(E, G5))))), T1=d(J3, d(1, d(E, d(d(A, d(d(2, d(1, d(B, A5))), M3)), d(K1, d(B, d(E, A5))))))), M4=d(J3, d(1, d(d(A, d(P, d(R, d(d(2, d(1, d(2, d(V, L2)))), K)))), 3))), P4=d(J3, d(1, d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(N, d(d(2, d(1, d(2, d(d(2, d(P, d(W, d(d(2, d(O, d(N, I))), d(P, d(R, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N2))), J2)))), K)))), K))))), U2))))))), H)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, Z))))), A1)))), K))))), K)), H)))), T4=d(J3, d(1, d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(N, d(d(2, d(1, d(2, d(d(2, d(P, d(W, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, J2)))), K)))), K))))), d(P, d(R, d(d(2, d(1, d(2, I))), U2))))))), H)))), K)))))), K))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, L), Z))))), A1)))), K))))), K)), H)))), C5=d(Q3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D5=d(Q3, d(1, X2)), I5=d(Q3, d(1, P1)), G5=d(Q3, d(1, P3)), W4=d(Q3, d(1, S3)), G3=d(Q3, H), E5=d(Q3, d(d(2, d(1, Q3)), d(N, H2))), F5=d(Q3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B1, d(N, d(D2, d(N, d(C1, G2)))))))), K))), d(D2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C1, d(Y1, G2))))), K)))), K))))))), K)), H)), H5=d(Q3, d(C3, d(d(A, d(d(2, d(1, V3)), d(B, I5))), d(d(2, d(1, d(B, d(E, I5)))), V1)))), I4=d(R3, X2), J4=d(R3, X3)]).
mm_proof(nanbi1, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, B))), Q=d(2, d(1, C)), R=d(2, d(1, d(C, d(d(B, F), F)))), S=d(2, d(J, d(L, d(1, T)))), U=d(2, d(J, d(L, d(J, d(I, G))))), V=d(2, d(K, W)), X=d(3, d(V, Y)), Z=d(3, d(V, d(d(2, d(1, d(2, d(K, d(N, W))))), M))), H=d(d(2, 1), 1), A1=d(I, 1), M=d(I, H), B1=d(I, C1), Y=d(K, M), B=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), B1)))), M))), T=d(d(2, d(1, d(2, H))), M), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), B1)))), M), D1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, H))))), M)))), M), C=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E1=d(d(2, d(1, Z)), d(C, d(d(3, d(3, d(1, F1))), F1))), G1=d(Q, H), C1=d(d(2, d(1, H1)), Y), H1=d(d(2, d(K, d(d(2, d(1, d(2, Y))), H))), H), O=d(V, H), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, C))))), M))), E1)))), M)), H), A=d(C, d(F, I1)), J1=d(C, I1), F1=d(H1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), M))), H))), d(3, d(V, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(P, B1)))), M)))))), M)))))), B1)))), M))), H))))), K1=d(F, d(d(B, d(d(2, d(1, d(C, L1))), d(C, M1))), d(d(2, d(1, d(C, N1))), d(C, d(F, L1))))), N1=d(F, M1), O1=d(d(B, d(d(2, d(1, d(C, K1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(F, K1)))), M1=d(d(B, O), C1), I1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, E1)))))))), M))), d(J, Q))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(S, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), A1)))), M)))))), d(S, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), A1)))), M))))), P1=d(A, d(d(B, d(d(2, d(1, d(C, Q1))), d(C, R1))), d(d(2, d(1, d(C, d(F, R1)))), d(C, d(F, Q1))))), D=d(J1, d(1, d(F, O1))), S1=d(J1, d(1, N1)), T1=d(J1, d(1, O1)), Q1=d(J1, d(1, M1)), U1=d(J1, H), V1=d(J1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(U, d(I, G1))))))), M))), d(U, d(I, D1)))))), M)), H)), R1=d(J1, d(A, d(d(B, d(d(2, d(1, d(C, U1))), d(C, S1))), d(d(2, d(1, d(C, d(F, S1)))), d(C, d(F, U1)))))), E=d(J1, d(A, d(d(B, d(d(2, d(1, d(C, V1))), d(C, T1))), d(d(2, d(1, d(C, d(F, T1)))), d(C, d(F, V1)))))), L1=d(d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, d(Q, P1))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, P1))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, G1)))))), M))), d(K, D1))))), M)), H))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(nanbi2, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, H))), Q=d(2, d(1, d(2, B))), R=d(2, d(1, C)), S=d(2, d(1, d(C, T))), U=d(2, d(1, d(C, d(d(B, F), F)))), V=d(2, d(J, d(L, d(1, W)))), X=d(2, d(J, d(L, d(J, d(I, G))))), Y=d(2, d(K, Z)), A1=d(3, d(Y, B1)), C1=d(3, d(Y, d(d(2, d(1, d(2, d(K, d(N, Z))))), M))), H=d(d(2, 1), 1), D1=d(I, 1), M=d(I, H), E1=d(I, F1), B1=d(K, M), G1=d(K, d(d(2, d(1, d(2, d(P, E1)))), M)), B=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), E1)))), M))), W=d(P, M), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), E1)))), M), H1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(U, H))))), M)))), M), C=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, C1)), d(C, d(d(3, d(3, d(1, J1))), J1))), K1=d(R, H), F1=d(d(2, d(1, L1)), B1), L1=d(d(2, d(K, d(d(2, d(1, d(2, B1))), H))), H), O=d(Y, H), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, C))))), M))), I1)))), M)), H), A=d(C, d(F, M1)), N1=d(C, M1), J1=d(L1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), M))), H))), d(3, d(Y, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(Q, E1)))), M)))))), M)))))), E1)))), M))), H))))), T=d(F, O1), P1=d(F, d(d(B, d(d(2, d(1, d(C, Q1))), d(C, R1))), d(d(2, d(1, d(C, S1))), d(C, d(F, Q1))))), S1=d(F, R1), T1=d(d(B, G1), G1), U1=d(d(B, d(S, d(C, T1))), d(d(2, d(1, d(C, d(F, T1)))), d(C, d(F, T)))), O1=d(d(B, d(d(2, d(1, d(C, P1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(F, P1)))), V1=d(d(B, d(d(2, d(1, d(C, U1))), d(C, O1))), d(S, d(C, d(F, U1)))), R1=d(d(B, O), F1), M1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(J, d(2, d(1, I1)))))))), M))), d(J, R))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(V, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), D1)))), M)))))), d(V, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), D1)))), M))))), W1=d(A, d(d(B, d(d(2, d(1, d(C, X1))), d(C, Y1))), d(d(2, d(1, d(C, d(F, Y1)))), d(C, d(F, X1))))), Z1=d(N1, d(1, T)), D=d(N1, d(1, d(F, V1))), A2=d(N1, d(1, S1)), B2=d(N1, d(1, O1)), C2=d(N1, d(1, V1)), X1=d(N1, d(1, R1)), D2=d(N1, H), E2=d(N1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(X, d(I, K1))))))), M))), d(X, d(I, H1)))))), M)), H)), F2=d(N1, d(A, d(d(B, d(d(2, d(1, d(C, Z1))), d(C, G2))), d(d(2, d(1, d(C, d(F, G2)))), d(C, d(F, Z1)))))), Y1=d(N1, d(A, d(d(B, d(d(2, d(1, d(C, D2))), d(C, A2))), d(d(2, d(1, d(C, d(F, A2)))), d(C, d(F, D2)))))), G2=d(N1, d(A, d(d(B, d(d(2, d(1, d(C, E2))), d(C, B2))), d(d(2, d(1, d(C, d(F, B2)))), d(C, d(F, E2)))))), E=d(N1, d(A, d(d(B, d(d(2, d(1, d(C, F2))), d(C, C2))), d(d(2, d(1, d(C, d(F, C2)))), d(C, d(F, F2)))))), Q1=d(d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(K, d(R, W1))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(U, W1))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(K, K1)))))), M))), d(K, H1))))), M)), H))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(nanbi12, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, E))), d(d(2, d(1, d(C, d(F, E)))), d(C, d(F, D)))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, H))), Q=d(2, d(1, d(2, B))), R=d(2, d(1, C)), S=d(2, d(1, d(C, T))), U=d(2, d(1, d(C, d(d(B, F), F)))), V=d(2, d(J, d(L, d(1, W)))), X=d(2, d(J, d(L, d(J, d(I, G))))), Y=d(2, d(K, Z)), A1=d(3, d(Y, B1)), C1=d(3, d(Y, d(d(2, d(1, d(2, d(K, d(N, Z))))), M))), H=d(d(2, 1), 1), D1=d(I, 1), M=d(I, H), E1=d(I, F1), B1=d(K, M), G1=d(K, d(d(2, d(1, d(2, d(P, E1)))), M)), H1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), E1)))), M)), B=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1), W=d(P, M), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), E1)))), M), I1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(U, H))))), M)))), M), C=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, C1)), d(C, d(d(3, d(3, d(1, K1))), K1))), L1=d(R, H), F1=d(d(2, d(1, M1)), B1), M1=d(d(2, d(K, d(d(2, d(1, d(2, B1))), H))), H), O=d(Y, H), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, C))))), M))), J1)))), M)), H), N1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A=d(C, d(F, O1)), P1=d(C, O1), K1=d(M1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1)))), M))), H))), d(3, d(Y, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(Q, E1)))), M)))))), M)))))), E1)))), M))), H))))), Q1=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(F, R1), S1=d(F, d(d(B, d(d(2, d(1, d(C, T1))), d(C, U1))), d(d(2, d(1, d(C, V1))), d(C, d(F, T1))))), V1=d(F, U1), W1=d(d(B, G1), G1), X1=d(d(B, d(S, d(C, W1))), d(d(2, d(1, d(C, d(F, W1)))), d(C, d(F, T)))), R1=d(d(B, d(d(2, d(1, d(C, S1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(F, S1)))), Y1=d(d(B, d(d(2, d(1, d(C, X1))), d(C, R1))), d(S, d(C, d(F, X1)))), U1=d(d(B, O), F1), O1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(J, d(2, d(1, J1)))))))), M))), d(J, R))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, B)))), d(V, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), D1)))), M)))))), d(V, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), D1)))), M))))), Z1=d(A, d(d(B, d(d(2, d(1, d(C, A2))), d(C, B2))), d(d(2, d(1, d(C, d(F, B2)))), d(C, d(F, A2))))), C2=d(A, d(d(B, d(d(2, d(1, d(C, D2))), d(C, E2))), d(d(2, d(1, d(C, d(F, E2)))), d(C, d(F, D2))))), A2=d(P1, d(1, T)), F2=d(P1, d(1, d(F, Y1))), G2=d(P1, d(1, V1)), H2=d(P1, d(1, R1)), I2=d(P1, d(1, Y1)), D2=d(P1, d(1, U1)), J2=d(P1, H), E=d(P1, d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, Z1)))), E1)))), M)))))), M))))), N1)), D=d(P1, d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Y, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(A, d(d(B, d(d(2, d(1, d(C, F2))), d(C, K2))), d(d(2, d(1, d(C, d(F, K2)))), d(C, d(F, F2))))))))), E1)))), M)))))), M))))), N1))), d(C, Q1)))))), H1)))), M)))), E1)))), M)))))), M))))), N1)), L2=d(P1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(X, d(I, L1))))))), M))), d(X, d(I, I1)))))), M)), H)), M2=d(P1, Z1), E2=d(P1, d(A, d(d(B, d(d(2, d(1, d(C, J2))), d(C, G2))), d(d(2, d(1, d(C, d(F, G2)))), d(C, d(F, J2)))))), B2=d(P1, d(A, d(d(B, d(d(2, d(1, d(C, L2))), d(C, H2))), d(d(2, d(1, d(C, d(F, H2)))), d(C, d(F, L2)))))), K2=d(P1, d(A, d(d(B, d(d(2, d(1, d(C, M2))), d(C, I2))), d(d(2, d(1, d(C, d(F, I2)))), d(C, d(F, M2)))))), T1=d(d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(K, d(R, C2))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(U, C2))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(I, d(K, L1)))))), M))), d(K, I1))))), M)), H))), Q1)]).
mm_proof(nanass, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, L))))), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, G))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, A))), S=d(2, d(1, d(2, B))), T=d(2, d(1, B)), U=d(2, d(1, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), W)))), L)))))), L))))), X))), Y=d(2, d(1, d(B, Z))), A1=d(2, d(1, d(B, B1))), C1=d(2, d(1, D1)), E1=d(2, d(1, F1)), G1=d(2, d(I, d(K, d(1, H1)))), I1=d(2, d(I, d(K, d(I, d(H, F))))), V=d(2, d(J, J1)), K1=d(3, d(V, Q)), L1=d(3, d(V, d(d(2, d(1, d(2, d(J, d(M, J1))))), L))), G=d(d(2, 1), 1), M1=d(H, 1), L=d(H, G), W=d(H, N1), O1=d(H, P1), Q=d(J, L), Q1=d(J, d(d(2, d(1, d(2, d(O, W)))), L)), R1=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), W)))), L)), S1=d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, T1))))), R1)))), L)))), W)))), L)))))), L))))), X))))), d(B, d(d(A, d(d(2, d(1, d(B, U1))), V1)), d(Y, d(B, d(E, U1)))))), A=d(d(2, d(1, d(2, d(1, d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R1), H1=d(O, L), J1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), W)))), L), W1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(E1, G))))), L)))), L), B=d(d(2, d(1, K1)), d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X1=d(d(2, d(1, L1)), d(B, d(d(3, d(3, d(1, Y1))), Y1))), Z1=d(T, G), A2=d(U, d(B, d(E, B2))), N1=d(d(2, d(1, C2)), Q), C2=d(d(2, d(J, d(P, G))), G), N=d(V, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, B))))), L))), X1)))), L)), G), X=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T1=d(B, D2), E2=d(B, d(E, F2)), G2=d(B, d(E, H2)), D1=d(B, d(E, I2)), V1=d(B, J2), K2=d(B, L2), M2=d(B, F2), N2=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, d(J, d(T, O2))))))), L))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(E1, O2))))), L)))), L)))))), L)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, d(J, Z1)))))), L))), d(J, W1))))), L)), G))), F1=d(B, H2), P2=d(B, I2), Y1=d(C2, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), L))), G))), d(3, d(V, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(R, W)))), L)))))), L)))))), W)))), L))), G))))), D2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(E, J2), R2=d(E, S2), T2=d(E, d(d(A, d(d(2, d(1, d(B, U2))), K2)), d(A1, d(B, d(E, U2))))), B1=d(E, L2), U1=d(E, d(M2, d(1, B2))), V2=d(d(A, Q1), Q1), W2=d(d(A, d(Y, d(B, V2))), d(d(2, d(1, d(B, d(E, V2)))), d(B, d(E, Z)))), J2=d(d(A, d(d(2, d(1, d(B, T2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, Q2))), d(B, d(E, T2)))), S2=d(d(A, d(d(2, d(1, d(B, W2))), V1)), d(Y, d(B, d(E, W2)))), X2=d(d(A, d(d(2, d(1, d(B, S2))), d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), d(B, R2))), C=d(d(A, d(d(2, d(1, d(B, Z2))), F1)), d(d(2, d(1, G2)), d(B, d(E, Z2)))), Z2=d(d(A, d(E1, d(B, A3))), d(d(2, d(1, d(B, d(E, A3)))), G2)), B2=d(d(A, d(d(2, d(1, d(B, B3))), K2)), d(A1, d(B, d(E, B3)))), L2=d(d(A, N), N1), F2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, d(I, d(2, d(1, X1)))))))), L))), d(I, T))))), L)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(G1, d(H, d(d(2, d(1, d(2, d(S, M1)))), L)))))), d(G1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X1))), M1)))), L))))), H2=d(d(A, E), E), D=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(E2, d(d(A, d(d(2, d(1, d(B, C3))), d(B, D3))), d(d(2, d(1, d(B, d(E, D3)))), d(B, d(E, C3))))))), T1))))), R1)))), O1)))), L))), E)), G)), d(d(2, d(J, d(P, d(d(2, d(I, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, S1))))), L))), S1)))), L)))), L)))), X1)))), d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, M1)))), L))), 1)))), L)))), d(H, A2))))), L))), A2)))), L)))), L)))), d(J, d(M, d(d(2, d(1, d(2, d(S, W)))), L)))))))))), G)), A3=d(d(A, d(E2, d(d(A, d(d(2, d(1, d(B, E3))), P2)), d(C1, d(B, d(E, E3)))))), d(E2, d(d(A, d(d(2, d(1, d(B, F3))), P2)), d(C1, d(B, d(E, F3)))))), G3=d(E2, d(d(A, d(d(2, d(1, d(B, H3))), d(B, I3))), d(d(2, d(1, d(B, d(E, I3)))), d(B, d(E, H3))))), P1=d(E2, d(d(A, d(d(2, d(1, d(B, J3))), d(B, K3))), d(d(2, d(1, d(B, d(E, K3)))), d(B, d(E, J3))))), O2=d(E2, d(d(A, d(d(2, d(1, d(B, L3))), d(B, M3))), d(d(2, d(1, d(B, d(E, M3)))), d(B, d(E, L3))))), H3=d(M2, d(1, Z)), J3=d(M2, d(1, R2)), F3=d(M2, d(1, d(E, X2))), N3=d(M2, d(1, B1)), O3=d(M2, d(1, J2)), P3=d(M2, d(1, S2)), E3=d(M2, d(1, X2)), L3=d(M2, d(1, L2)), I2=d(M2, G), D3=d(M2, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, G3)))), W)))), L)))))), L))))), X)), C3=d(M2, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(V, d(d(2, d(1, d(2, d(J, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), W)))), L)))))), L))))), X))), T1))))), R1)))), L)))), W)))), L)))))), L))))), X)), Q3=d(M2, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(H, d(I1, d(H, Z1))))))), L))), d(I1, d(H, W1)))))), L)), G)), R3=d(M2, G3), M3=d(M2, d(E2, d(d(A, d(d(2, d(1, P2)), d(B, N3))), d(d(2, d(1, d(B, d(E, N3)))), D1)))), I3=d(M2, d(E2, d(d(A, d(d(2, d(1, d(B, Q3))), d(B, O3))), d(d(2, d(1, d(B, d(E, O3)))), d(B, d(E, Q3)))))), K3=d(M2, d(E2, d(d(A, d(d(2, d(1, d(B, R3))), d(B, P3))), d(d(2, d(1, d(B, d(E, P3)))), d(B, d(E, R3)))))), U2=d(N2, D2), B3=d(N2, Q2), Y2=d(P1, S2)]).
mm_proof(xnor, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, E))), d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, B)), N=d(2, d(1, d(B, d(d(A, F), F)))), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), R=d(2, d(I, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(I, d(J, S))))), P))), W=d(d(2, 1), 1), X=d(G, 1), P=d(G, W), Y=d(G, Z), U=d(I, P), A=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), Y)))), P))), Q=d(d(2, d(1, d(2, W))), P), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Y)))), P), B=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(B, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(1, C1)), U), C1=d(d(2, d(I, d(d(2, d(1, d(2, U))), W))), W), K=d(R, W), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), P))), A1)))), P)), W), D1=d(B, d(F, E1)), F1=d(B, E1), B1=d(C1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), P))), W))), d(3, d(R, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Y)))), P)))))), P)))))), Y)))), P))), W))))), E=d(F, D), D=d(d(A, K), Z), E1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, M))))), P)), W)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), X)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), P))))), G1=d(D1, d(d(A, d(d(2, d(1, d(B, H1))), d(B, I1))), d(d(2, d(1, d(B, d(F, I1)))), d(B, d(F, H1))))), J1=d(F1, d(1, E)), H1=d(F1, d(1, D)), K1=d(F1, W), I1=d(F1, d(D1, d(d(A, d(d(2, d(1, d(B, K1))), d(B, J1))), d(d(2, d(1, d(B, d(F, J1)))), d(B, d(F, K1)))))), C=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, G1))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, G1))))), P)))), P)))))), P)), W)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, W))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, W))))), P)))), P)))))), P)), W))), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(xorcom, d(d(A, d(B, d(C, D))), d(d(2, d(1, d(C, d(E, D)))), d(C, d(E, F))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, C)), B=d(2, d(1, d(C, F))), N=d(2, d(1, d(C, O))), P=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q))))), d(1, R)))), S=d(2, d(I, T)), U=d(3, d(S, V)), W=d(3, d(S, d(d(2, d(1, d(2, d(I, d(J, T))))), Q))), X=d(d(2, 1), 1), Y=d(G, 1), Q=d(G, X), Z=d(G, A1), V=d(I, Q), A=d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), Z)))), Q))), R=d(d(2, d(1, d(2, X))), Q), T=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X)))), Z)))), Q), C=d(d(2, d(1, U)), d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, W)), d(C, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), V), D1=d(d(2, d(I, d(d(2, d(1, d(2, V))), X))), X), K=d(S, X), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, C))))), Q))), B1)))), Q)), X), E1=d(C, d(E, F1)), G1=d(C, F1), C1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), Q))), X))), d(3, d(S, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Z)))), Q)))))), Q)))))), Z)))), Q))), X))))), F=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(d(A, d(d(2, d(1, d(C, H1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(B, d(C, d(E, H1)))), I1=d(d(A, K), A1), F1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, B1)))))))), Q))), d(H, M))))), Q)), X)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y)))), Q)))))), d(P, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), Q))))), O=d(d(A, E), E), J1=d(E1, d(d(A, d(d(2, d(1, d(C, K1))), d(C, L1))), d(d(2, d(1, d(C, d(E, L1)))), d(C, d(E, K1))))), M1=d(G1, d(1, d(E, I1))), K1=d(G1, d(1, I1)), N1=d(G1, X), L1=d(G1, d(E1, d(d(A, d(d(2, d(1, d(C, N1))), d(C, M1))), d(d(2, d(1, d(C, d(E, M1)))), d(C, d(E, N1)))))), H1=d(d(C, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, J1))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, J1))))), Q)))), Q)))))), Q)), X)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, X))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, X))))), Q)))), Q)))))), Q)), X))), O)]).
mm_proof(xorass, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(D, d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, d(2, B))), M=d(2, d(1, B)), D=d(2, d(1, d(B, N))), O=d(2, d(1, d(B, d(E, P)))), Q=d(2, d(1, R)), S=d(2, d(1, d(B, T))), U=d(2, d(1, V)), W=d(2, d(1, d(B, d(E, X)))), Y=d(2, d(1, Z)), A1=d(2, d(1, B1)), C1=d(2, d(1, d(B, D1))), E1=d(2, d(1, d(B, F1))), G1=d(2, d(1, H1)), I1=d(2, d(1, d(B, J1))), K1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, L1))))), d(1, M1)))), N1=d(2, d(H, O1)), P1=d(3, d(N1, Q1)), R1=d(3, d(N1, d(d(2, d(1, d(2, d(H, d(I, O1))))), L1))), S1=d(d(2, 1), 1), T1=d(F, 1), L1=d(F, S1), U1=d(F, V1), Q1=d(H, L1), A=d(d(2, d(1, d(2, d(1, d(R1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M1))), U1)))), L1))), M1=d(d(2, d(1, d(2, S1))), L1), O1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, S1)))), U1)))), L1), B=d(d(2, d(1, P1)), d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W1=d(d(2, d(1, R1)), d(B, d(d(3, d(3, d(1, X1))), X1))), V1=d(d(2, d(1, Y1)), Q1), Y1=d(d(2, d(H, d(d(2, d(1, d(2, Q1))), S1))), S1), J=d(N1, S1), Z1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(L, L1)))))), L1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, T1)))), L1))), 1)))), L1))))), L1)), S1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), L1))), W1)))), L1)), S1), A2=d(B, d(E, B2)), R=d(B, d(E, C2)), D2=d(B, P), V=d(B, B2), E2=d(B, F2), G2=d(B, d(E, H2)), I2=d(B, d(E, J2)), K2=d(B, d(E, D1)), L2=d(B, d(E, F1)), Z=d(B, d(E, M2)), N2=d(B, O2), P2=d(B, Q2), R2=d(B, S2), T2=d(B, U2), V2=d(B, W2), B1=d(B, X2), Y2=d(B, H2), Z2=d(B, J2), A3=d(B, X), B3=d(B, M2), H1=d(B, C3), X1=d(Y1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U1)))), L1))), S1))), d(3, d(N1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, U1)))), L1)))))), L1)))))), U1)))), L1))), S1))))), D3=d(Y1, d(d(2, d(1, d(V, d(d(A, d(G1, d(B, E3))), d(d(2, d(1, d(B, d(E, E3)))), N2))))), d(3, d(N1, d(V, d(d(A, d(I1, d(B, F3))), d(d(2, d(1, d(B, d(E, F3)))), P2))))))), N=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G3=d(E, H3), I3=d(E, d(d(A, d(d(2, d(1, d(B, H3))), d(B, J3))), d(d(2, d(1, d(B, d(E, J3)))), d(B, G3)))), K3=d(E, d(d(A, d(d(2, d(1, d(B, C2))), D2)), d(O, R))), L3=d(E, d(d(A, d(d(2, d(1, d(B, M3))), B1)), d(d(2, d(1, E2)), d(B, d(E, M3))))), N3=d(E, d(d(A, d(d(2, d(1, Y2)), d(B, O3))), d(d(2, d(1, d(B, d(E, O3)))), G2))), P=d(E, d(d(A, d(d(2, d(1, d(B, P3))), R2)), d(S, d(B, d(E, P3))))), T=d(E, S2), B2=d(E, U2), Q3=d(E, W2), F2=d(E, X2), R3=d(E, d(d(A, d(V, d(d(A, d(E1, B3)), d(Y, L2)))), d(V, d(d(A, d(d(2, d(1, Z2)), B3)), d(Y, I2))))), O2=d(E, C3), Q2=d(E, J1), O3=d(d(A, d(d(2, d(1, d(B, D3))), d(B, L3))), d(d(2, d(1, d(B, d(E, L3)))), d(B, d(E, D3)))), C=d(d(A, d(D, d(B, I3))), d(d(2, d(1, d(B, d(E, I3)))), d(B, d(E, N)))), H3=d(d(A, d(d(2, d(1, d(B, K3))), E2)), d(d(2, d(1, d(B, d(E, F2)))), d(B, d(E, K3)))), J3=d(d(A, d(d(2, d(1, d(B, N3))), D2)), d(O, d(B, d(E, N3)))), S3=d(d(A, d(U, d(B, T3))), d(d(2, d(1, d(B, d(E, T3)))), A2)), U3=d(d(A, d(U, d(B, V3))), d(d(2, d(1, d(B, d(E, V3)))), A2)), W3=d(d(A, d(d(2, d(1, d(B, R3))), V2)), d(d(2, d(1, d(B, Q3))), d(B, d(E, R3)))), C2=d(d(A, d(A1, d(B, W3))), d(d(2, d(1, d(B, d(E, W3)))), E2)), M3=d(d(A, d(A1, Y2)), d(d(2, d(1, G2)), E2)), X3=d(d(A, d(d(2, d(1, d(B, Y3))), R2)), d(S, d(B, d(E, Y3)))), S2=d(d(A, J), V1), U2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, W1)))))))), L1))), d(G, M))))), L1)), S1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(K1, d(F, d(d(2, d(1, d(2, d(L, T1)))), L1)))))), d(K1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W1))), T1)))), L1))))), W2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, Z3))))))), L1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(A1, Z3))))), L1)))), L1)))))), L1)), S1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, S1))))))), L1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(A1, S1))))), L1)))), L1)))))), L1)), S1)), X2=d(d(A, E), E), H2=d(d(A, d(V, d(d(A, d(d(2, d(1, d(B, A4))), B3)), d(Y, d(B, d(E, A4)))))), d(V, d(d(A, d(d(2, d(1, d(B, B4))), B3)), d(Y, d(B, d(E, B4)))))), T3=d(d(A, d(V, d(d(A, d(d(2, d(1, d(B, C4))), B3)), d(Y, d(B, d(E, C4)))))), d(V, d(d(A, d(d(2, d(1, d(B, D4))), B3)), d(Y, d(B, d(E, D4)))))), V3=d(d(A, d(V, d(d(A, d(d(2, d(1, d(B, E4))), B3)), d(Y, d(B, d(E, E4)))))), d(V, d(d(A, d(d(2, d(1, d(B, F4))), B3)), d(Y, d(B, d(E, F4)))))), G4=d(V, d(d(A, d(d(2, d(1, d(B, H4))), H1)), d(d(2, d(1, N2)), d(B, d(E, H4))))), Z3=d(V, d(d(A, d(E1, d(B, I4))), d(d(2, d(1, d(B, d(E, I4)))), L2))), J4=d(T2, d(1, G3)), B4=d(T2, d(1, d(E, X3))), J2=d(T2, d(1, T)), H4=d(T2, d(1, Q3)), D1=d(T2, d(1, F2)), D4=d(T2, d(1, O2)), F4=d(T2, d(1, Q2)), A4=d(T2, d(1, X3)), F1=d(T2, d(1, S2)), X=d(T2, d(1, X2)), C4=d(T2, d(1, C3)), E4=d(T2, d(1, J1)), M2=d(T2, S1), K4=d(T2, d(A1, d(Q, d(A1, Z1)))), L4=d(T2, d(A1, d(Q, d(A1, G4)))), E3=d(T2, d(A1, d(V, d(d(A, d(C1, d(B, M4))), d(d(2, d(1, d(B, d(E, M4)))), K2))))), F3=d(T2, d(A1, d(V, d(d(A, d(d(2, d(1, d(B, N4))), d(B, J4))), d(d(2, d(1, d(B, d(E, J4)))), d(B, d(E, N4))))))), C3=d(T2, Z1), O4=d(T2, d(V, d(d(A, d(d(2, d(1, d(B, S3))), T2)), d(U, d(B, d(E, S3)))))), P4=d(T2, d(V, d(d(A, d(d(2, d(1, d(B, U3))), T2)), d(U, d(B, d(E, U3)))))), J1=d(T2, G4), N4=d(T2, d(V, d(d(A, d(C1, d(B, Q4))), d(d(2, d(1, d(B, d(E, Q4)))), K2)))), I4=d(T2, d(V, d(d(A, d(d(2, d(1, B3)), Z2)), d(d(2, d(1, I2)), Z)))), M4=d(T2, d(V, d(d(A, d(d(2, d(1, d(B, O4))), A3)), d(W, d(B, d(E, O4)))))), Q4=d(T2, d(V, d(d(A, d(d(2, d(1, d(B, P4))), A3)), d(W, d(B, d(E, P4)))))), Y3=d(V2, N), P3=d(V2, d(E, d(Y1, d(d(2, d(1, d(A1, d(V, d(d(A, d(G1, d(B, K4))), d(d(2, d(1, d(B, d(E, K4)))), N2)))))), d(3, d(N1, d(A1, d(V, d(d(A, d(I1, d(B, L4))), d(d(2, d(1, d(B, d(E, L4)))), P2))))))))))]).
mm_proof(excxor, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, C))))-[E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, I)))), J=d(2, d(1, d(2, K))), L=d(2, d(1, d(2, A))), M=d(2, d(1, N)), O=d(2, d(1, B)), P=d(2, d(1, d(Q, d(J, R)))), Q=d(2, d(1, d(B, S))), T=d(2, d(1, U)), V=d(2, d(1, d(B, W))), X=d(2, d(1, d(B, d(D, Y)))), Z=d(2, d(1, d(B, d(D, A1)))), B1=d(2, d(1, C1)), D1=d(2, d(1, d(B, d(d(A, E1), E1)))), F1=d(2, d(1, G1)), H1=d(2, d(F, d(E, d(1, d(P, N))))), I1=d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, R))))), d(1, J1)))), K1=d(2, d(G, L1)), M1=d(3, d(K1, K)), N1=d(3, d(K1, d(d(2, d(1, d(2, d(G, d(H, L1))))), R))), N=d(d(2, 1), 1), O1=d(E, 1), R=d(E, N), P1=d(E, Q1), K=d(G, R), R1=d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), P1)))), R)), A=d(d(2, d(1, d(2, d(1, d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R1), J1=d(d(2, d(1, d(2, N))), R), L1=d(d(2, d(1, d(2, d(d(2, d(1, M)), P1)))), R), B=d(d(2, d(1, M1)), d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(d(2, d(1, N1)), T1), U1=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, V1))))), R1)))), R)))), P1)))), R)))))), R))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q1=d(d(2, d(1, W1)), K), W1=d(d(2, d(G, d(J, N))), N), E1=d(d(2, d(G, d(J, d(d(2, d(F, d(E, d(1, d(Q, 1))))), d(G, d(H, d(d(2, d(1, P)), X1))))))), N), I=d(K1, N), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, B))))), R))), S1)))), R)), N), Y1=d(d(3, d(3, d(1, Z1))), Z1), X1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T1=d(B, Y1), V1=d(B, A2), U=d(B, B2), C2=d(B, d(D, D2)), E2=d(B, d(D, F2)), G2=d(B, d(D, H2)), C1=d(B, d(D, I2)), J2=d(B, K2), L2=d(B, M2), N2=d(B, D2), O2=d(B, P2), G1=d(B, F2), Q2=d(B, Y), R2=d(B, A1), S2=d(B, H2), T2=d(B, I2), Z1=d(W1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P1)))), R))), N))), d(3, d(K1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K1, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(L, P1)))), R)))))), R)))))), P1)))), R))), N))))), A2=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B2=d(D, K2), U2=d(D, d(d(A, d(d(2, d(1, d(B, V2))), d(B, W2))), d(d(2, d(1, d(B, d(D, W2)))), d(B, d(D, V2))))), X2=d(D, d(d(A, d(d(2, d(1, d(B, Y2))), Q2)), d(X, d(B, d(D, Y2))))), Z2=d(D, d(d(A, d(d(2, d(1, d(B, A3))), L2)), d(V, d(B, d(D, A3))))), V2=d(D, d(d(A, d(d(2, d(1, d(B, B3))), L2)), d(V, d(B, d(D, B3))))), W=d(D, M2), W2=d(D, d(O2, S)), K2=d(d(A, U1), U1), C3=d(d(A, d(d(2, d(1, V1)), T1)), d(d(2, d(1, d(B, d(D, Y1)))), d(B, d(D, A2)))), D3=d(d(A, d(T, R2)), d(Z, d(B, d(D, B2)))), E3=d(d(A, d(d(2, d(1, d(B, U2))), d(B, F3))), d(d(2, d(1, d(B, d(D, F3)))), d(B, d(D, U2)))), G3=d(d(A, d(d(2, d(1, d(B, D3))), J2)), d(T, d(B, d(D, D3)))), F3=d(d(A, d(d(2, d(1, d(B, G3))), R2)), d(Z, d(B, d(D, G3)))), H3=d(d(A, d(d(2, d(1, d(B, I3))), d(B, J3))), d(d(2, d(1, d(B, d(D, J3)))), d(B, d(D, I3)))), Y2=d(d(A, d(d(2, d(1, d(B, K3))), G1)), d(d(2, d(1, E2)), d(B, d(D, K3)))), L3=d(d(A, d(d(2, d(1, d(B, M3))), S2)), d(d(2, d(1, G2)), d(B, d(D, M3)))), C=d(d(A, d(d(2, d(1, d(B, N3))), d(B, Z2))), d(d(2, d(1, d(B, d(D, Z2)))), d(B, d(D, N3)))), I3=d(d(A, d(d(2, d(1, O2)), N2)), d(d(2, d(1, C2)), d(B, d(D, P2)))), K3=d(d(A, d(F1, Q2)), d(X, E2)), M3=d(d(A, d(d(2, d(1, d(B, O3))), L2)), d(V, d(B, d(D, O3)))), N3=d(d(A, d(d(2, d(G, d(J, d(H1, d(G, d(H, d(d(2, d(1, d(2, d(1, d(D1, d(P, J2)))))), X1))))))), N)), d(d(2, d(G, d(J, d(H1, d(G, d(H, d(d(2, d(1, d(2, d(1, d(D1, d(P, U)))))), X1))))))), N)), M2=d(d(A, I), Q1), D2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(F, d(2, d(1, S1)))))))), R))), d(F, O))))), R)), N)), d(d(2, d(F, d(d(2, d(1, d(2, d(1, A)))), d(I1, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), O1)))), R)))))), d(I1, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S1))), O1)))), R))))), P2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(G, d(O, P3))))))), R))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(F1, P3))))), R)))), R)))))), R)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(E, d(G, d(O, N))))))), R))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(F1, N))))), R)))), R)))))), R)), N)), F2=d(d(A, D), D), Y=d(d(A, d(C2, d(d(A, d(d(2, d(1, d(B, Q3))), T2)), d(B1, d(B, d(D, Q3)))))), d(C2, d(d(A, d(d(2, d(1, d(B, R3))), T2)), d(B1, d(B, d(D, R3)))))), P3=d(C2, d(d(A, d(d(2, d(1, S2)), d(B, S3))), d(d(2, d(1, d(B, d(D, S3)))), G2))), A1=d(d(B, d(d(A, d(d(2, d(1, d(B, X2))), d(B, H3))), d(d(2, d(1, d(B, d(D, H3)))), d(B, d(D, X2))))), d(1, L3)), Q3=d(N2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R3=d(N2, d(1, A2)), T3=d(N2, d(1, W)), H2=d(N2, d(1, M2)), J3=d(N2, d(1, P2)), I2=d(N2, N), S3=d(N2, d(C2, d(d(A, d(d(2, d(1, T2)), d(B, T3))), d(d(2, d(1, d(B, d(D, T3)))), C1)))), O3=d(O2, A2), A3=d(O2, d(D, d(d(A, d(d(2, d(1, d(B, E3))), d(B, C3))), d(d(2, d(1, d(B, d(D, C3)))), d(B, d(D, E3)))))), B3=d(O2, d(D, L3))]).
mm_proof(xornan, d(d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F))), d(d(2, d(1, G)), d(H, d(d(I, d(d(2, d(1, d(H, J))), d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(H, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(H, d(K, J)))))))-[L=d(2, d(1, 1)), M=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, I))), R=d(2, d(1, d(2, H))), S=d(2, d(1, T)), U=d(2, d(1, H)), V=d(2, d(1, W)), X=d(2, d(1, d(H, Y))), Z=d(2, d(1, d(H, d(K, d(d(I, d(A1, d(H, B1))), d(d(2, d(1, d(H, d(K, B1)))), C1)))))), D1=d(2, d(1, d(H, E1))), F1=d(2, d(1, C1)), G1=d(2, d(1, d(H, d(K, H1)))), I1=d(2, d(1, J1)), A1=d(2, d(1, K1)), L1=d(2, d(1, d(H, M1))), N1=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, D))))), d(1, O1)))), A=d(2, d(B, P1)), Q1=d(3, d(A, P)), R1=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, P1))))), D))), T=d(d(2, 1), 1), S1=d(L, 1), D=d(L, T), E=d(L, T1), P=d(B, D), U1=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O1))), E)))), D)), I=d(d(2, d(1, d(2, d(1, d(R1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U1), O1=d(d(2, d(1, d(2, T))), D), P1=d(d(2, d(1, d(2, d(d(2, d(1, S)), E)))), D), H=d(d(2, d(1, Q1)), d(Q1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V1=d(d(2, d(1, R1)), W1), X1=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, Y1))))), U1)))), D)))), E)))), D)))))), D))))), F), T1=d(d(2, d(1, Z1)), P), Z1=d(d(2, d(B, d(O, T))), T), A2=d(d(2, d(B, d(O, d(d(2, d(M, d(L, d(1, d(V, 1))))), d(B, d(C, d(d(2, d(1, d(2, d(1, d(V, d(O, D)))))), B2))))))), T), N=d(A, T), C2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(R, D)))))), D))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, S1)))), D))), 1)))), D))))), D)), T), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, H))))), D))), V1)))), D)), T), D2=d(d(3, d(3, d(1, E2))), E2), F=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B2=d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W1=d(H, D2), Y1=d(H, F2), W=d(H, d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G2=d(H, d(K, H2)), I2=d(H, J2), C1=d(H, d(K, K2)), L2=d(H, d(K, M2)), N2=d(H, d(K, M1)), J1=d(H, d(K, O2)), P2=d(H, d(K, Q2)), G=d(H, R2), S2=d(H, d(d(I, d(d(2, d(1, d(H, T2))), d(H, U2))), d(d(2, d(1, d(H, d(K, U2)))), d(H, d(K, T2))))), V2=d(H, W2), X2=d(H, H2), Y2=d(H, Z2), K1=d(H, K2), A3=d(H, H1), B3=d(H, M2), C3=d(H, O2), D3=d(H, Q2), E2=d(Z1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), D))), T))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(Q, E)))), D)))))), D)))))), E)))), D))), T))))), F2=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y=d(K, R2), E3=d(K, d(d(I, d(d(2, d(1, d(H, F3))), d(H, G3))), d(d(2, d(1, d(H, d(K, G3)))), d(H, d(K, F3))))), F3=d(K, d(d(I, d(d(2, d(1, d(H, H3))), K1)), d(F1, d(H, d(K, H3))))), G3=d(K, d(d(I, d(d(2, d(1, d(H, I3))), d(H, J3))), d(d(2, d(1, d(H, d(K, J3)))), d(H, d(K, I3))))), T2=d(K, d(d(I, d(d(2, d(1, d(H, K3))), A3)), d(G1, d(H, d(K, K3))))), L3=d(K, d(d(I, d(d(2, d(1, d(H, M3))), V2)), d(D1, d(H, d(K, M3))))), E1=d(K, W2), J2=d(K, Z2), N3=d(K, d(d(I, d(G2, d(d(I, d(L1, C3)), d(I1, N2)))), d(G2, d(d(I, d(d(2, d(1, B3)), C3)), d(I1, L2))))), R2=d(d(I, X1), X1), H3=d(d(I, d(d(2, d(1, Y1)), W1)), d(d(2, d(1, d(H, d(K, D2)))), d(H, d(K, F2)))), O3=d(d(I, d(X, d(H, P3))), d(d(2, d(1, d(H, d(K, P3)))), d(H, d(K, Y)))), J=d(d(I, d(d(2, d(1, d(H, E3))), d(H, L3))), d(d(2, d(1, d(H, d(K, L3)))), d(H, d(K, E3)))), B1=d(d(I, d(d(2, d(1, d(H, N3))), Y2)), d(d(2, d(1, I2)), d(H, d(K, N3)))), I3=d(d(I, d(d(2, d(1, d(H, O3))), G)), d(X, d(H, d(K, O3)))), U2=d(d(I, d(d(2, d(1, d(H, Q3))), d(H, R3))), d(d(2, d(1, d(H, d(K, R3)))), d(H, d(K, Q3)))), K3=d(d(I, d(d(2, d(1, d(H, S3))), K1)), d(F1, d(H, d(K, S3)))), Q3=d(d(I, d(d(2, d(1, Y2)), X2)), d(d(2, d(1, G2)), I2)), S3=d(d(I, d(A1, A3)), d(G1, C1)), T3=d(d(I, A2), A2), W2=d(d(I, N), T1), H2=d(d(I, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(M, d(2, d(1, V1)))))))), D))), d(M, U))))), D)), T)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, I)))), d(N1, d(L, d(d(2, d(1, d(2, d(R, S1)))), D)))))), d(N1, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V1))), S1)))), D))))), Z2=d(d(I, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(B, d(U, U3))))))), D))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(A1, U3))))), D)))), D)))))), D)), T)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, d(B, d(U, T))))))), D))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(A1, T))))), D)))), D)))))), D)), T)), K2=d(d(I, K), K), H1=d(d(I, d(G2, d(d(I, d(d(2, d(1, d(H, V3))), C3)), d(I1, d(H, d(K, V3)))))), d(G2, d(d(I, d(d(2, d(1, d(H, W3))), C3)), d(I1, d(H, d(K, W3)))))), X3=d(G2, d(d(I, d(d(2, d(1, d(H, Y3))), D3)), d(d(2, d(1, P2)), d(H, d(K, Y3))))), U3=d(G2, d(d(I, d(L1, d(H, Z3))), d(d(2, d(1, d(H, d(K, Z3)))), N2))), P3=d(S2, d(1, d(K, d(d(I, d(d(2, d(1, B2)), d(H, T3))), d(d(2, d(1, d(H, d(K, T3)))), W))))), J3=d(S2, d(1, d(d(I, d(d(2, d(1, d(H, A4))), V2)), d(D1, d(H, d(K, A4)))))), V3=d(X2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W3=d(X2, d(1, F2)), M2=d(X2, d(1, E1)), Y3=d(X2, d(1, J2)), M1=d(X2, d(1, W2)), R3=d(X2, d(1, Z2)), O2=d(X2, T), B4=d(X2, d(A1, d(Z, d(A1, C2)))), C4=d(X2, d(A1, d(Z, d(A1, X3)))), Q2=d(X2, C2), D4=d(X2, X3), Z3=d(X2, d(G2, d(d(I, d(d(2, d(1, C3)), B3)), d(d(2, d(1, L2)), J1)))), A4=d(Y2, F2), M3=d(Y2, d(K, d(Z1, d(d(2, d(1, d(A1, d(G2, d(d(I, d(d(2, d(1, D3)), d(H, B4))), d(d(2, d(1, d(H, d(K, B4)))), P2)))))), d(3, d(A, d(A1, d(G2, d(d(I, d(d(2, d(1, d(H, D4))), d(H, C4))), d(d(2, d(1, d(H, d(K, C4)))), d(H, d(K, D4))))))))))))]).
mm_proof(xorneg2, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, d(2, B))), M=d(2, d(1, B)), N=d(2, d(1, d(B, d(E, d(d(A, d(O, d(B, P))), d(d(2, d(1, d(B, d(E, P)))), d(B, d(E, Q)))))))), R=d(2, d(1, S)), O=d(2, d(1, d(B, Q))), T=d(2, d(1, d(B, U))), V=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, W))))), d(1, X)))), Y=d(2, d(H, Z)), A1=d(3, d(Y, B1)), C1=d(3, d(Y, d(d(2, d(1, d(2, d(H, d(I, Z))))), W))), D1=d(d(2, 1), 1), E1=d(F, 1), W=d(F, D1), F1=d(F, G1), B1=d(H, W), A=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), F1)))), W))), X=d(d(2, d(1, d(2, D1))), W), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D1)))), F1)))), W), B=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, C1)), d(B, d(d(3, d(3, d(1, I1))), I1))), G1=d(d(2, d(1, J1)), B1), J1=d(d(2, d(H, d(d(2, d(1, d(2, B1))), D1))), D1), J=d(Y, D1), K1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(L, W)))))), W))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, E1)))), W))), 1)))), W))))), W)), D1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), W))), H1)))), W)), D1), L1=d(B, d(E, M1)), N1=d(B, d(E, O1)), P1=d(B, d(E, U)), S=d(B, d(E, Q1)), R1=d(B, d(E, S1)), T1=d(B, M1), U1=d(B, V1), W1=d(B, O1), X1=d(B, Q1), Y1=d(B, S1), I1=d(J1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1)))), W))), D1))), d(3, d(Y, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, F1)))), W)))))), W)))))), F1)))), W))), D1))))), Z1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A2=d(E, d(J1, d(d(2, d(1, d(O, d(L1, d(d(A, d(d(2, d(1, Y1)), d(B, B2))), d(d(2, d(1, d(B, d(E, B2)))), R1)))))), d(3, d(Y, d(O, d(L1, d(d(A, d(d(2, d(1, d(B, C2))), d(B, D2))), d(d(2, d(1, d(B, d(E, D2)))), d(B, d(E, C2))))))))))), E2=d(E, F2), G2=d(E, V1), H2=d(E, d(d(A, d(L1, d(d(A, d(T, X1)), d(R, P1)))), d(L1, d(d(A, d(d(2, d(1, W1)), X1)), d(R, N1))))), D=d(d(A, d(d(2, d(1, d(B, A2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, Z1))), d(B, d(E, A2)))), P=d(d(A, d(d(2, d(1, d(B, H2))), U1)), d(d(2, d(1, d(B, G2))), d(B, d(E, H2)))), C=d(d(A, d(d(2, d(1, d(B, I2))), d(B, F2))), d(d(2, d(1, d(B, E2))), d(B, d(E, I2)))), F2=d(d(A, J), G1), M1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, H1)))))))), W))), d(G, M))))), W)), D1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(V, d(F, d(d(2, d(1, d(2, d(L, E1)))), W)))))), d(V, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), E1)))), W))))), V1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, J2))))))), W))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, J2))))), W)))), W)))))), W)), D1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, D1))))))), W))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(O, D1))))), W)))), W)))))), W)), D1)), Q=d(d(A, E), E), K2=d(L1, d(d(A, d(d(2, d(1, d(B, L2))), Y1)), d(d(2, d(1, R1)), d(B, d(E, L2))))), J2=d(L1, d(d(A, d(T, d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), P1))), O1=d(T1, d(1, E2)), L2=d(T1, d(1, G2)), U=d(T1, d(1, F2)), Q1=d(T1, D1), B2=d(T1, d(O, d(N, d(O, K1)))), D2=d(T1, d(O, d(N, d(O, K2)))), S1=d(T1, K1), C2=d(T1, K2), M2=d(T1, d(L1, d(d(A, d(d(2, d(1, X1)), W1)), d(d(2, d(1, N1)), S)))), I2=d(U1, Z1)]).
mm_proof(xorneg1, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, d(2, B))), M=d(2, d(1, B)), N=d(2, d(1, d(B, O))), P=d(2, d(1, d(B, d(E, d(d(A, d(Q, d(B, R))), d(d(2, d(1, d(B, d(E, R)))), d(B, d(E, S)))))))), T=d(2, d(1, U)), Q=d(2, d(1, d(B, S))), V=d(2, d(1, d(B, W))), X=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, Y))))), d(1, Z)))), A1=d(2, d(H, B1)), C1=d(3, d(A1, D1)), E1=d(3, d(A1, d(d(2, d(1, d(2, d(H, d(I, B1))))), Y))), F1=d(d(2, 1), 1), G1=d(F, 1), Y=d(F, F1), H1=d(F, I1), D1=d(H, Y), A=d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), H1)))), Y))), Z=d(d(2, d(1, d(2, F1))), Y), B1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F1)))), H1)))), Y), B=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, E1)), d(B, d(d(3, d(3, d(1, K1))), K1))), I1=d(d(2, d(1, L1)), D1), L1=d(d(2, d(H, d(d(2, d(1, d(2, D1))), F1))), F1), J=d(A1, F1), M1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(L, Y)))))), Y))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, G1)))), Y))), 1)))), Y))))), Y)), F1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), Y))), J1)))), Y)), F1), N1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(B, d(E, P1)), Q1=d(B, d(E, R1)), S1=d(B, d(E, W)), U=d(B, d(E, T1)), U1=d(B, d(E, V1)), W1=d(B, P1), X1=d(B, Y1), Z1=d(B, R1), A2=d(B, T1), B2=d(B, V1), K1=d(L1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Y))), F1))), d(3, d(A1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, H1)))), Y)))))), Y)))))), H1)))), Y))), F1))))), O=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C2=d(E, d(L1, d(d(2, d(1, d(Q, d(O1, d(d(A, d(d(2, d(1, B2)), d(B, D2))), d(d(2, d(1, d(B, d(E, D2)))), U1)))))), d(3, d(A1, d(Q, d(O1, d(d(A, d(d(2, d(1, d(B, E2))), d(B, F2))), d(d(2, d(1, d(B, d(E, F2)))), d(B, d(E, E2))))))))))), G2=d(E, H2), I2=d(E, Y1), J2=d(E, d(d(A, d(O1, d(d(A, d(V, A2)), d(T, S1)))), d(O1, d(d(A, d(d(2, d(1, Z1)), A2)), d(T, Q1))))), D=d(d(A, d(N, d(B, K2))), d(d(2, d(1, d(B, d(E, K2)))), d(B, d(E, O)))), L2=d(d(A, d(d(2, d(1, d(B, C2))), N1)), d(N, d(B, d(E, C2)))), R=d(d(A, d(d(2, d(1, d(B, J2))), X1)), d(d(2, d(1, d(B, I2))), d(B, d(E, J2)))), M2=d(d(A, d(d(2, d(1, d(B, N2))), d(B, L2))), d(d(2, d(1, d(B, d(E, L2)))), d(B, d(E, N2)))), N2=d(d(A, d(d(2, d(1, d(B, O2))), d(B, H2))), d(d(2, d(1, d(B, G2))), d(B, d(E, O2)))), C=d(d(A, d(d(2, d(1, d(B, P2))), d(B, M2))), d(d(2, d(1, d(B, d(E, M2)))), d(B, d(E, P2)))), K2=d(d(A, d(d(2, d(1, d(B, Q2))), N1)), d(N, d(B, d(E, Q2)))), H2=d(d(A, J), I1), P1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, J1)))))))), Y))), d(G, M))))), Y)), F1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(X, d(F, d(d(2, d(1, d(2, d(L, G1)))), Y)))))), d(X, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), G1)))), Y))))), Y1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, R2))))))), Y))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(Q, R2))))), Y)))), Y)))))), Y)), F1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, F1))))))), Y))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(Q, F1))))), Y)))), Y)))))), Y)), F1)), S=d(d(A, E), E), S2=d(O1, d(d(A, d(d(2, d(1, d(B, T2))), B2)), d(d(2, d(1, U1)), d(B, d(E, T2))))), R2=d(O1, d(d(A, d(V, d(B, U2))), d(d(2, d(1, d(B, d(E, U2)))), S1))), R1=d(W1, d(1, G2)), T2=d(W1, d(1, I2)), W=d(W1, d(1, H2)), T1=d(W1, F1), D2=d(W1, d(Q, d(P, d(Q, M1)))), F2=d(W1, d(Q, d(P, d(Q, S2)))), V1=d(W1, M1), E2=d(W1, S2), U2=d(W1, d(O1, d(d(A, d(d(2, d(1, A2)), Z1)), d(d(2, d(1, Q1)), U)))), O2=d(X1, O), P2=d(X1, D), Q2=d(X1, S)]).
mm_proof(xorneg, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, d(2, B))), M=d(2, d(1, B)), N=d(2, d(1, d(B, O))), P=d(2, d(1, d(B, d(E, d(d(A, d(Q, d(B, R))), d(d(2, d(1, d(B, d(E, R)))), d(B, d(E, S)))))))), T=d(2, d(1, d(B, U))), V=d(2, d(1, W)), Q=d(2, d(1, d(B, S))), X=d(2, d(1, d(B, Y))), Z=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, A1))))), d(1, B1)))), C1=d(2, d(H, D1)), E1=d(3, d(C1, F1)), G1=d(3, d(C1, d(d(2, d(1, d(2, d(H, d(I, D1))))), A1))), H1=d(d(2, 1), 1), I1=d(F, 1), A1=d(F, H1), J1=d(F, K1), F1=d(H, A1), A=d(d(2, d(1, d(2, d(1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), J1)))), A1))), B1=d(d(2, d(1, d(2, H1))), A1), D1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H1)))), J1)))), A1), B=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, G1)), d(B, d(d(3, d(3, d(1, M1))), M1))), K1=d(d(2, d(1, N1)), F1), N1=d(d(2, d(H, d(d(2, d(1, d(2, F1))), H1))), H1), J=d(C1, H1), O1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(L, A1)))))), A1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, I1)))), A1))), 1)))), A1))))), A1)), H1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), A1))), L1)))), A1)), H1), P1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(B, d(E, R1)), S1=d(B, d(E, T1)), U1=d(B, d(E, Y)), W=d(B, d(E, V1)), W1=d(B, d(E, X1)), Y1=d(B, Z1), A2=d(B, R1), B2=d(B, C2), D2=d(B, T1), E2=d(B, V1), F2=d(B, X1), M1=d(N1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), A1))), H1))), d(3, d(C1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, J1)))), A1)))))), A1)))))), J1)))), A1))), H1))))), O=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G2=d(E, d(N1, d(d(2, d(1, d(Q, d(Q1, d(d(A, d(d(2, d(1, F2)), d(B, H2))), d(d(2, d(1, d(B, d(E, H2)))), W1)))))), d(3, d(C1, d(Q, d(Q1, d(d(A, d(d(2, d(1, d(B, I2))), d(B, J2))), d(d(2, d(1, d(B, d(E, J2)))), d(B, d(E, I2))))))))))), K2=d(E, L2), C=d(E, d(d(A, d(d(2, d(1, d(B, M2))), Y1)), d(T, d(B, d(E, M2))))), U=d(E, Z1), N2=d(E, C2), O2=d(E, d(d(A, d(Q1, d(d(A, d(X, E2)), d(V, U1)))), d(Q1, d(d(A, d(d(2, d(1, D2)), E2)), d(V, S1))))), P2=d(d(A, d(N, d(B, Q2))), d(d(2, d(1, d(B, d(E, Q2)))), d(B, d(E, O)))), R2=d(d(A, d(d(2, d(1, d(B, G2))), P1)), d(N, d(B, d(E, G2)))), R=d(d(A, d(d(2, d(1, d(B, O2))), B2)), d(d(2, d(1, d(B, N2))), d(B, d(E, O2)))), L2=d(d(A, d(d(2, d(1, d(B, S2))), d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), d(B, d(E, S2)))), D=d(d(A, d(d(2, d(1, d(B, T2))), d(B, P2))), d(d(2, d(1, d(B, d(E, P2)))), d(B, d(E, T2)))), S2=d(d(A, d(d(2, d(1, d(B, U2))), Y1)), d(T, d(B, d(E, U2)))), T2=d(d(A, d(d(2, d(1, d(B, V2))), d(B, L2))), d(d(2, d(1, d(B, K2))), d(B, d(E, V2)))), Q2=d(d(A, d(d(2, d(1, d(B, W2))), P1)), d(N, d(B, d(E, W2)))), Z1=d(d(A, J), K1), R1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, L1)))))))), A1))), d(G, M))))), A1)), H1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(Z, d(F, d(d(2, d(1, d(2, d(L, I1)))), A1)))))), d(Z, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L1))), I1)))), A1))))), C2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, X2))))))), A1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(Q, X2))))), A1)))), A1)))))), A1)), H1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, H1))))))), A1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(Q, H1))))), A1)))), A1)))))), A1)), H1)), S=d(d(A, E), E), Y2=d(Q1, d(d(A, d(d(2, d(1, d(B, Z2))), F2)), d(d(2, d(1, W1)), d(B, d(E, Z2))))), X2=d(Q1, d(d(A, d(X, d(B, A3))), d(d(2, d(1, d(B, d(E, A3)))), U1))), T1=d(A2, d(1, U)), Z2=d(A2, d(1, N2)), Y=d(A2, d(1, Z1)), V1=d(A2, H1), H2=d(A2, d(Q, d(P, d(Q, O1)))), J2=d(A2, d(Q, d(P, d(Q, Y2)))), X1=d(A2, O1), I2=d(A2, Y2), A3=d(A2, d(Q1, d(d(A, d(d(2, d(1, E2)), D2)), d(d(2, d(1, S1)), W)))), U2=d(B2, O), M2=d(B2, K2), V2=d(B2, P2), W2=d(B2, S)]).
mm_proof(xorbi12i, d(d(2, d(A, d(B, d(C, d(D, E))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(H, d(D, d(I, E)))))), d(J, d(K, L))))-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, S))), T=d(2, d(1, J)), U=d(2, d(1, V)), W=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, X))))), d(1, Y)))), Z=d(2, d(O, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(O, d(P, A1))))), X))), E1=d(d(d(2, d(1, 2)), 1), 1), F1=d(d(d(2, d(1, 2)), 1), 2), F=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), A=d(d(d(2, d(1, 2)), 1), 2), G1=d(d(d(2, d(1, 2)), 1), d(2, d(1, H1))), H=d(d(d(2, d(1, 2)), 1), E1), G=d(d(d(2, d(1, 2)), 1), F1), C=d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(2, d(1, d(J, L))))), B=d(d(d(2, d(1, 2)), 1), I1), D=d(d(d(2, d(1, 2)), 1), J1), I=d(d(d(2, d(1, 2)), 1), K1), I1=d(d(d(2, d(1, 2)), 1), S), J1=d(d(d(2, d(1, 2)), 1), J), K1=d(d(d(2, d(1, 2)), 1), K), L1=d(d(d(2, d(1, 2)), 1), M1), N1=d(d(d(2, d(1, 2)), 1), O1), P1=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F1, d(E1, d(J1, d(K1, Q1))))), R1=d(d(2, 1), 1), S1=d(M, 1), X=d(M, R1), T1=d(M, U1), C1=d(O, X), S=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), T1)))), X))), Y=d(d(2, d(1, d(2, R1))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, R1)))), T1)))), X), J=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V1=d(d(2, d(1, D1)), d(J, d(d(3, d(3, d(1, W1))), W1))), U1=d(d(2, d(1, X1)), C1), X1=d(d(2, d(O, d(d(2, d(1, d(2, C1))), R1))), R1), Q=d(Z, R1), K=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, J))))), X))), V1)))), X)), R1), Y1=d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), d(J, d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(O, d(T, Z1))))))), X))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(U, Z1))))), X)))), X)))))), X)), R1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(O, d(T, R1))))))), X))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(U, R1))))), X)))), X)))))), X)), R1))))), d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), d(F1, d(E1, d(J1, A2))))), B2)))), d(d(d(d(2, d(1, 2)), 1), P1), d(J1, d(K1, A2))))), B2=d(J1, Q1), C2=d(N1, 1), D2=d(N1, d(E1, K)), E=d(d(2, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F, d(G, d(H, d(D, Y1))))), d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(C, d(D, d(I, Y1)))), E2=d(d(2, d(I1, d(d(d(d(2, d(1, 2)), 1), U), B2))), d(P1, F2)), Q1=d(d(2, d(I1, d(L1, d(d(2, d(I1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F1, d(E1, d(J1, C2)))), G2))), d(G1, d(J1, d(K1, C2))))))), d(L1, d(d(2, d(I1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F1, d(E1, d(J1, D2)))), G2))), d(G1, d(J1, d(K1, D2)))))), A2=d(d(2, d(I1, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(F1, d(E1, d(J1, E2)))), V))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, F2))), d(J1, d(K1, E2)))), M1=d(J, d(K, H2)), F2=d(J, d(K, I2)), H1=d(J, d(K, J2)), O1=d(J, H2), V=d(J, I2), G2=d(J, J2), W1=d(X1, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T1)))), X))), R1))), d(3, d(Z, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(O, d(P, d(d(2, d(1, d(2, d(R, T1)))), X)))))), X)))))), T1)))), X))), R1))))), L=d(K, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K2=d(d(S, Q), U1), H2=d(d(S, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(M, d(N, d(2, d(1, V1)))))))), X))), d(N, T))))), X)), R1)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, S)))), d(W, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), S1)))), X)))))), d(W, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V1))), S1)))), X))))), I2=d(d(S, K), K), Z1=d(M1, d(d(S, d(d(2, d(1, d(J, L2))), d(J, M2))), d(d(2, d(1, d(J, d(K, M2)))), d(J, d(K, L2))))), N2=d(O1, d(1, d(K, K2))), L2=d(O1, d(1, K2)), J2=d(O1, R1), M2=d(O1, d(M1, d(d(S, d(d(2, d(1, G2)), d(J, N2))), d(d(2, d(1, d(J, d(K, N2)))), H1))))]).
mm_proof(norcom, d(d(A, d(B, d(C, D))), d(d(2, d(1, d(C, d(E, D)))), d(C, d(E, F))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, A))), O=d(2, d(1, C)), B=d(2, d(1, d(C, F))), P=d(2, d(1, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Q=d(2, d(1, d(C, d(d(A, E), E)))), R=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, S))))), d(1, T)))), U=d(2, d(I, V)), W=d(3, d(U, M)), X=d(3, d(U, d(d(2, d(1, d(2, d(I, d(J, V))))), S))), Y=d(d(2, 1), 1), Z=d(G, 1), S=d(G, Y), A1=d(G, B1), M=d(I, S), A=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), A1)))), S))), T=d(d(2, d(1, d(2, Y))), S), V=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, Y)))), A1)))), S), C=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, X)), d(C, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), M), E1=d(d(2, d(I, d(L, Y))), Y), F1=d(d(2, d(I, d(L, d(d(2, d(H, d(G, d(1, d(P, 1))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(P, d(L, S)))))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Y), K=d(U, Y), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, C))))), S))), C1)))), S)), Y), G1=d(C, d(E, H1)), I1=d(C, H1), D1=d(E1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), S))), Y))), d(3, d(U, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(N, A1)))), S)))))), S)))))), A1)))), S))), Y))))), F=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(d(A, d(d(2, d(1, d(C, J1))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(B, d(C, d(E, J1)))), K1=d(d(A, K), B1), H1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(H, d(2, d(1, C1)))))))), S))), d(H, O))))), S)), Y)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Z)))), S)))))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), S))))), L1=d(G1, d(d(A, d(d(2, d(1, d(C, M1))), d(C, N1))), d(d(2, d(1, d(C, d(E, N1)))), d(C, d(E, M1))))), O1=d(I1, d(1, d(E, K1))), M1=d(I1, d(1, K1)), P1=d(I1, Y), N1=d(I1, d(G1, d(d(A, d(d(2, d(1, d(C, P1))), d(C, O1))), d(d(2, d(1, d(C, d(E, O1)))), d(C, d(E, P1)))))), J1=d(d(C, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(I, d(O, L1))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(Q, L1))))), S)))), S)))))), S)), Y)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(I, d(O, Y))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(Q, Y))))), S)))), S)))))), S)), Y))), d(d(A, F1), F1))]).
mm_proof(nornot, d(A, d(d(B, d(d(2, d(1, d(C, D))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(A, D)))))-[E=d(1, F), G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, E))), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, B))), P=d(2, d(1, C)), Q=d(2, d(1, d(C, d(d(B, A), A)))), R=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, S))))), d(1, T)))), U=d(2, d(I, V)), W=d(3, d(U, N)), X=d(3, d(U, d(d(2, d(1, d(2, d(I, d(K, V))))), S))), F=d(d(2, 1), 1), Y=d(G, 1), S=d(G, F), Z=d(G, A1), N=d(I, S), B=d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), Z)))), S))), T=d(d(2, d(1, d(2, F))), S), V=d(d(2, d(1, d(2, d(J, Z)))), S), C=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, X)), d(C, d(d(3, d(3, d(1, C1))), C1))), A1=d(d(2, d(1, D1)), N), D1=d(d(2, d(I, d(M, F))), F), L=d(U, F), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, C))))), S))), B1)))), S)), F), E1=d(C, d(A, F1)), G1=d(C, F1), C1=d(D1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), S))), F))), d(3, d(U, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(I, d(K, d(d(2, d(1, d(2, d(O, Z)))), S)))))), S)))))), Z)))), S))), F))))), H1=d(d(B, L), A1), F1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(H, d(2, d(1, B1)))))))), S))), d(H, P))))), S)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, B)))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), Y)))), S)))))), d(R, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), Y)))), S))))), I1=d(E1, d(d(B, d(d(2, d(1, d(C, J1))), d(C, K1))), d(d(2, d(1, d(C, d(A, K1)))), d(C, d(A, J1))))), L1=d(G1, d(1, d(A, H1))), J1=d(G1, d(1, H1)), M1=d(G1, F), K1=d(G1, d(E1, d(d(B, d(d(2, d(1, d(C, M1))), d(C, L1))), d(d(2, d(1, d(C, d(A, L1)))), d(C, d(A, M1)))))), D=d(d(C, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(I, d(P, I1))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Q, I1))))), S)))), S)))))), S)), F)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(G, d(I, d(P, F))))))), S))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(Q, F))))), S)))), S)))))), S)), F))), d(d(B, d(d(2, d(I, d(M, d(d(2, d(H, d(G, E))), d(I, d(K, d(J, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), F)), d(d(2, d(1, d(C, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1)))]).
mm_proof(noran, d(d(A, d(B, d(C, D))), d(d(2, d(1, d(C, d(E, D)))), d(C, d(E, F))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, G))), M=d(2, d(1, d(2, d(1, d(J, N))))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, A))), T=d(2, d(1, C)), U=d(2, d(1, d(V, d(Q, N)))), B=d(2, d(1, d(C, F))), V=d(2, d(1, d(C, W))), X=d(2, d(1, d(C, d(E, Y)))), Z=d(2, d(1, d(C, A1))), B1=d(2, d(1, C1)), D1=d(2, d(1, d(C, d(d(A, E), E)))), E1=d(2, d(J, d(I, d(1, d(U, H))))), F1=d(2, d(J, d(M, d(1, G1)))), H1=d(2, d(J, d(M, I1))), J1=d(2, d(K, K1)), L1=d(3, d(J1, R)), M1=d(3, d(J1, d(d(2, d(1, d(2, d(K, d(O, K1))))), N))), H=d(d(2, 1), 1), N1=d(I, 1), N=d(I, H), O1=d(I, P1), I1=d(J, d(I, G)), R=d(K, N), A=d(d(2, d(1, d(2, d(1, d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), O1)))), N))), G1=d(d(2, d(1, d(2, H))), N), K1=d(d(2, d(1, d(2, d(L, O1)))), N), Q1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(D1, H))))), N)))), N), C=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R1=d(d(2, d(1, M1)), d(C, d(d(3, d(3, d(1, S1))), S1))), T1=d(T, H), P1=d(d(2, d(1, U1)), R), V1=d(V, 1), U1=d(d(2, d(K, d(Q, H))), H), W1=d(d(2, d(K, d(Q, d(d(2, d(J, d(I, d(1, V1)))), d(K, d(O, d(d(2, d(1, U)), X1))))))), H), P=d(J1, H), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, C))))), N))), R1)))), N)), H), X1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y1=d(C, d(E, Z1)), A2=d(C, d(E, B2)), C2=d(C, Y), C1=d(C, Z1), D2=d(C, E2), F2=d(C, B2), G2=d(C, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, d(K, d(T, H2))))))), N))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(D1, H2))))), N)))), N)))))), N)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, d(K, T1)))))), N))), d(K, Q1))))), N)), H))), S1=d(U1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O1)))), N))), H))), d(3, d(J1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J1, d(d(2, d(1, d(2, d(K, d(O, d(d(2, d(1, d(2, d(S, O1)))), N)))))), N)))))), O1)))), N))), H))))), F=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I2=d(E, d(d(A, d(d(2, d(1, d(C, J2))), D2)), d(Z, d(C, d(E, J2))))), K2=d(E, d(d(A, d(d(2, d(1, d(C, L2))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(B, d(C, d(E, L2))))), A1=d(E, E2), M2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, d(H1, d(I, T1))))))), N))), d(H1, d(I, Q1)))))), N)), H), E2), N2=d(d(A, d(V, d(C, M2))), d(d(2, d(1, d(C, d(E, M2)))), d(C, d(E, W)))), O2=d(d(A, d(d(2, d(1, d(C, P2))), C1)), d(d(2, d(1, Y1)), d(C, d(E, P2)))), P2=d(d(A, d(B1, C2)), d(X, Y1)), Q2=d(d(A, d(d(2, d(1, d(C, R2))), D2)), d(Z, d(C, d(E, R2)))), D=d(d(A, d(d(2, d(1, d(C, S2))), d(C, Q2))), d(d(2, d(1, d(C, d(E, Q2)))), d(C, d(E, S2)))), Y=d(d(A, d(d(2, d(K, d(Q, d(E1, d(K, d(O, d(d(2, d(1, d(2, d(1, d(B1, d(U, d(C, K2))))))), X1))))))), H)), d(d(2, d(K, d(Q, d(E1, d(K, d(O, d(d(2, d(1, d(2, d(1, d(B1, d(U, d(C, d(E, K2)))))))), X1))))))), H)), Z1=d(d(A, W1), W1), E2=d(d(A, P), P1), B2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(I, d(J, d(2, d(1, R1)))))))), N))), d(J, T))))), N)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, A)))), d(F1, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), N1)))), N)))))), d(F1, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R1))), N1)))), N))))), H2=d(A2, d(d(A, d(d(2, d(1, d(C, T2))), d(C, U2))), d(d(2, d(1, d(C, d(E, U2)))), d(C, d(E, T2))))), V2=d(F2, d(1, A1)), T2=d(F2, d(1, E2)), W2=d(F2, H), U2=d(F2, d(A2, d(d(A, d(d(2, d(1, d(C, W2))), d(C, V2))), d(d(2, d(1, d(C, d(E, V2)))), d(C, d(E, W2)))))), J2=d(G2, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R2=d(G2, d(d(A, d(d(2, d(1, d(C, N2))), d(C, I2))), d(d(2, d(1, d(C, d(E, I2)))), d(C, d(E, N2))))), S2=d(G2, d(d(A, d(d(2, d(1, d(C, O2))), C2)), d(X, d(C, d(E, O2))))), L2=d(G2, d(d(A, d(d(2, d(K, d(Q, d(d(2, I1), d(K, d(O, d(L, X1))))))), H)), V1))]).
mm_proof(noror, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, F))), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, A))), Q=d(2, d(1, B)), R=d(2, d(1, d(B, d(d(A, E), E)))), S=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, T))))), d(1, U)))), V=d(2, d(J, W)), X=d(3, d(V, O)), Y=d(3, d(V, d(d(2, d(1, d(2, d(J, d(L, W))))), T))), G=d(d(2, 1), 1), Z=d(H, 1), T=d(H, G), A1=d(H, B1), O=d(J, T), A=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), A1)))), T))), U=d(d(2, d(1, d(2, G))), T), W=d(d(2, d(1, d(2, d(K, A1)))), T), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, Y)), d(B, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), O), E1=d(d(2, d(J, d(N, G))), G), M=d(V, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, B))))), T))), C1)))), T)), G), F1=d(B, d(E, G1)), H1=d(B, G1), I1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(J, d(Q, J1))))))), T))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, J1))))), T)))), T)))))), T)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(J, d(Q, G))))))), T))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, G))))), T)))), T)))))), T)), G))), D1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), T))), G))), d(3, d(V, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(J, d(L, d(d(2, d(1, d(2, d(P, A1)))), T)))))), T)))))), A1)))), T))), G))))), K1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, d(d(A, d(d(2, d(1, d(B, L1))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, K1))), d(B, d(E, L1))))), M1=d(E, N1), D=d(d(A, d(d(2, d(1, d(B, O1))), d(B, N1))), d(d(2, d(1, d(B, M1))), d(B, d(E, O1)))), N1=d(d(A, M), B1), G1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(I, d(2, d(1, C1)))))))), T))), d(I, Q))))), T)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Z)))), T)))))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), T))))), J1=d(F1, d(d(A, d(d(2, d(1, d(B, P1))), d(B, Q1))), d(d(2, d(1, d(B, d(E, Q1)))), d(B, d(E, P1))))), R1=d(H1, d(1, M1)), P1=d(H1, d(1, N1)), S1=d(H1, G), Q1=d(H1, d(F1, d(d(A, d(d(2, d(1, d(B, S1))), d(B, R1))), d(d(2, d(1, d(B, d(E, R1)))), d(B, d(E, S1)))))), O1=d(I1, K1), L1=d(I1, d(d(A, d(d(2, d(J, d(N, d(d(2, d(I, d(H, F))), d(J, d(L, d(K, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G)), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1)))]).
mm_proof(norasslem1, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, d(1, B)), Q=d(2, d(1, d(R, d(M, S)))), R=d(2, d(1, d(B, T))), U=d(2, d(1, V)), W=d(2, d(I, d(H, d(1, d(Q, G))))), X=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, S))))), d(I, d(H, F))))), Y=d(2, d(J, Z)), A1=d(3, d(Y, N)), B1=d(3, d(Y, d(d(2, d(1, d(2, d(J, d(K, Z))))), S))), G=d(d(2, 1), 1), S=d(H, G), C1=d(H, D1), N=d(J, S), A=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), S)))), C1)))), S))), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), C1)))), S), B=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, E1)), N), E1=d(d(2, d(J, d(M, G))), G), F1=d(d(2, d(J, d(M, d(d(2, d(I, d(H, d(1, d(R, 1))))), d(J, d(K, d(d(2, d(1, Q)), G1))))))), G), L=d(Y, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, B))))), S))), d(d(2, d(1, B1)), d(B, d(d(3, d(3, d(1, H1))), H1))))))), S)), G), G1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(B, d(E, J1)), V=d(B, J1), H1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), S))), G))), d(3, d(Y, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(O, C1)))), S)))))), S)))))), C1)))), S))), G))))), T=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, d(d(A, d(d(2, d(1, d(B, K1))), V)), d(d(2, d(1, I1)), d(B, d(E, K1))))), L1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(X, d(H, d(P, G)))))))), S))), d(X, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(d(2, d(1, d(B, d(d(A, E), E)))), G))))), S)))), S))))))), S)), G), d(d(A, L), D1)), D=d(d(A, d(R, d(B, L1))), d(d(2, d(1, d(B, d(E, L1)))), d(B, d(E, T)))), K1=d(d(A, d(U, d(B, M1))), d(d(2, d(1, d(B, d(E, M1)))), I1)), M1=d(d(A, d(d(2, d(J, d(M, d(W, d(J, d(K, d(d(2, d(1, d(2, d(1, d(U, d(Q, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))))), G1))))))), G)), d(d(2, d(J, d(M, d(W, d(J, d(K, d(d(2, d(1, d(2, d(1, d(U, d(Q, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G1))))))), G)), J1=d(d(A, F1), F1)]).
mm_proof(norasslem2, d(d(2, d(1, d(d(2, d(1, d(A, d(d(B, C), C)))), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, F))))), G))), H)))), G)), I)))), d(d(2, d(1, d(A, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(J, G)))-[F=d(1, 1), E=d(2, F), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, I))))), J=d(2, d(1, d(2, N))), D=d(2, d(1, d(2, B))), M=d(2, d(K, O)), P=d(3, d(M, N)), Q=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, O))))), G))), I=d(d(2, 1), 1), G=d(E, I), R=d(E, d(d(2, d(1, S)), N)), N=d(K, G), B=d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), R)))), G))), H=d(d(2, d(1, d(2, I))), G), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, I)))), R)))), G), A=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(K, d(J, I))), I), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D, d(E, A))))), G))), d(d(2, d(1, Q)), d(A, d(d(3, d(3, d(1, T))), T))))))), G)), I), T=d(S, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), G))), I))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(D, R)))), G)))))), G)))))), R)))), G))), I)))))]).
mm_proof(norasslem3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(C, d(B, d(D, E)))))))), F))), d(C, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(G, E))))), F)))), F))))))), F)), H)-[I=d(1, H), B=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(M, H))))), A=d(2, d(1, d(2, N))), D=d(2, d(1, O)), G=d(2, d(1, d(O, d(d(N, P), P)))), C=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, F))))), d(J, d(B, I))))), M=d(2, d(K, Q)), R=d(3, d(M, S)), T=d(3, d(M, d(d(2, d(1, d(2, d(K, d(L, Q))))), F))), H=d(d(2, 1), 1), F=d(B, H), U=d(B, d(d(2, d(1, V)), S)), S=d(K, F), N=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), F)))), U)))), F))), Q=d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), U)))), F), O=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E=d(G, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(1, d(d(2, d(1, d(O, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1))))))), F))), d(d(2, d(1, d(2, d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F))))), F)), H)), V=d(d(2, d(K, d(d(2, d(1, d(2, S))), H))), H), P=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, O))))), F))), d(d(2, d(1, T)), d(O, d(d(3, d(3, d(1, W))), W))))))), F)), H), W=d(V, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), F))), H))), d(3, d(M, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(A, U)))), F)))))), F)))))), U)))), F))), H)))))]).
mm_proof(norass, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, 1), G=d(1, H), I=d(2, F), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, A))), S=d(2, d(1, d(2, B))), T=d(2, d(1, B)), U=d(2, d(1, V)), W=d(2, d(1, X)), Y=d(2, d(1, d(B, Z))), A1=d(2, d(1, B1)), C1=d(2, d(1, D1)), E1=d(2, d(1, F1)), G1=d(2, d(1, d(B, d(E, H1)))), I1=d(2, d(1, d(B, d(E, J1)))), K1=d(2, d(1, d(B, d(E, L1)))), M1=d(2, d(1, N1)), O1=d(2, d(1, P1)), Q1=d(2, d(1, R1)), S1=d(2, d(1, d(B, T1))), U1=d(2, d(1, d(B, V1))), W1=d(2, d(1, d(B, X1))), Y1=d(2, d(J, d(I, d(1, d(U, H))))), Z1=d(2, d(J, d(L, d(1, A2)))), B2=d(2, d(J, d(L, d(J, d(I, G))))), C2=d(2, d(K, D2)), E2=d(3, d(C2, Q)), F2=d(3, d(C2, d(d(2, d(1, d(2, d(K, d(N, D2))))), M))), H=d(d(2, 1), 1), G2=d(I, 1), H2=d(I, d(1, d(Y, 1))), M=d(I, H), I2=d(I, J2), Q=d(K, M), A=d(d(2, d(1, d(2, d(1, d(F2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A2))), I2)))), M))), A2=d(d(2, d(1, d(2, H))), M), D2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), I2)))), M), K2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(Q1, H))))), M)))), M), B=d(d(2, d(1, E2)), d(E2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L2=d(d(2, d(1, F2)), M2), N2=d(T, H), J2=d(d(2, d(1, O2)), Q), V=d(Y, d(P, M)), P2=d(Q1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, H2)))), M))), d(d(2, d(1, d(2, Q2))), M))))), M)), H)), O2=d(d(2, d(K, d(P, H))), H), R2=d(d(2, d(K, d(P, d(d(2, d(J, H2)), d(K, d(N, d(d(2, d(1, U)), Q2))))))), H), O=d(C2, H), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, B))))), M))), L2)))), M)), H), S2=d(d(3, d(3, d(1, T2))), T2), U2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(B, S2), X=d(B, V2), W2=d(B, d(E, X2)), B1=d(B, Y2), D1=d(B, X2), F1=d(B, Z2), A3=d(B, d(E, T1)), N1=d(B, d(E, B3)), C3=d(B, d(E, V1)), D3=d(B, d(E, X1)), P1=d(B, E3), F3=d(B, G3), H3=d(B, I3), R1=d(B, J3), K3=d(B, H1), L3=d(B, J1), M3=d(B, L1), N3=d(B, B3), T2=d(O2, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I2)))), M))), H))), d(3, d(C2, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C2, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(R, I2)))), M)))))), M)))))), I2)))), M))), H))))), O3=d(O2, d(d(2, d(1, d(D1, d(d(A, d(d(2, d(1, d(B, P3))), M3)), d(K1, d(B, d(E, P3))))))), d(3, d(C2, d(D1, d(d(A, d(d(2, d(1, d(B, Q3))), d(B, R3))), d(d(2, d(1, d(B, d(E, R3)))), d(B, d(E, Q3))))))))), S3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T3=d(E, d(d(A, d(d(2, d(1, d(B, U3))), K3)), d(G1, d(B, d(E, U3))))), V3=d(E, d(d(A, d(d(2, d(1, d(B, W3))), d(B, X3))), d(d(2, d(1, d(B, d(E, X3)))), d(B, d(E, W3))))), Y3=d(E, d(d(A, d(d(2, d(1, d(B, Z3))), P1)), d(A1, d(B, d(E, Z3))))), Y2=d(E, E3), X2=d(E, G3), Z2=d(E, J3), A4=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(B2, d(I, N2))))))), M))), d(B2, d(I, K2)))))), M)), H), B4), C4=d(d(A, d(W, d(B, D4))), d(d(2, d(1, d(B, d(E, D4)))), d(B, d(E, V2)))), E4=d(d(A, d(Y, d(B, A4))), d(d(2, d(1, d(B, d(E, A4)))), d(B, d(E, Z)))), C=d(d(A, d(d(2, d(1, d(B, T3))), H3)), d(d(2, d(1, d(B, d(E, I3)))), d(B, d(E, T3)))), F4=d(d(A, d(d(2, d(1, d(B, V3))), d(B, G4))), d(d(2, d(1, d(B, d(E, G4)))), d(B, d(E, V3)))), H4=d(d(A, d(d(2, d(1, d(B, Y3))), d(B, E4))), d(d(2, d(1, d(B, d(E, E4)))), d(B, d(E, Y3)))), I4=d(d(A, d(C1, d(B, J4))), d(d(2, d(1, d(B, d(E, J4)))), W2)), K4=d(d(A, d(C1, d(B, L4))), d(d(2, d(1, d(B, d(E, L4)))), W2)), D=d(d(A, d(d(2, d(1, d(B, F4))), d(B, O3))), d(d(2, d(1, d(B, d(E, O3)))), d(B, d(E, F4)))), G4=d(d(A, d(d(2, d(1, d(B, M4))), L3)), d(I1, d(B, d(E, M4)))), N4=d(d(A, d(d(2, d(1, d(B, O4))), P1)), d(A1, d(B, d(E, O4)))), U3=d(d(A, d(d(2, d(1, d(B, P4))), R1)), d(E1, d(B, d(E, P4)))), M4=d(d(A, d(d(2, d(1, d(B, Q4))), R1)), d(E1, d(B, d(E, Q4)))), W3=d(d(A, d(d(2, d(1, d(B, R4))), R1)), d(E1, d(B, d(E, R4)))), Z3=d(d(A, d(O1, d(B, S4))), d(d(2, d(1, d(B, d(E, S4)))), B1)), O4=d(d(A, d(O1, d(B, T4))), d(d(2, d(1, d(B, d(E, T4)))), B1)), P4=d(d(A, d(Q1, K3)), d(G1, F1)), Q4=d(d(A, d(Q1, L3)), d(I1, F1)), R4=d(d(A, d(Q1, d(B, U4))), d(d(2, d(1, d(B, d(E, U4)))), F1)), D4=d(d(A, d(d(2, d(1, d(B, V4))), U2)), d(W, d(B, d(E, V4)))), S4=d(d(A, d(d(2, d(K, d(P, d(Y1, d(K, d(N, d(d(2, d(1, d(2, d(1, d(O1, d(U, U2)))))), Q2))))))), H)), d(d(2, d(K, d(P, d(Y1, d(K, d(N, d(d(2, d(1, d(2, d(1, d(O1, d(U, X)))))), Q2))))))), H)), T4=d(d(A, d(d(2, d(K, d(P, d(Y1, d(K, d(N, d(d(2, d(1, d(2, d(1, d(O1, d(U, d(B, C4))))))), Q2))))))), H)), d(d(2, d(K, d(P, d(Y1, d(K, d(N, d(d(2, d(1, d(2, d(1, d(O1, d(U, d(B, d(E, C4)))))))), Q2))))))), H)), E3=d(d(A, R2), R2), B4=d(d(A, O), J2), G3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(J, d(2, d(1, L2)))))))), M))), d(J, T))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, A)))), d(Z1, d(I, d(d(2, d(1, d(2, d(S, G2)))), M)))))), d(Z1, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L2))), G2)))), M))))), I3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(K, d(T, W4))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(Q1, W4))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(K, N2)))))), M))), d(K, K2))))), M)), H)), J3=d(d(A, E), E), H1=d(d(A, d(D1, d(d(A, d(d(2, d(1, d(B, X4))), N3)), d(M1, d(B, d(E, X4)))))), d(D1, d(d(A, d(d(2, d(1, d(B, Y4))), N3)), d(M1, d(B, d(E, Y4)))))), J1=d(d(A, d(D1, d(d(A, d(d(2, d(1, d(B, Z4))), N3)), d(M1, d(B, d(E, Z4)))))), d(D1, d(d(A, d(d(2, d(1, d(B, A5))), N3)), d(M1, d(B, d(E, A5)))))), U4=d(d(A, d(D1, d(d(A, d(d(2, d(1, d(B, B5))), N3)), d(M1, d(B, d(E, B5)))))), d(D1, d(d(A, d(d(2, d(1, d(B, C5))), N3)), d(M1, d(B, d(E, C5)))))), X3=d(d(A, d(D1, d(d(A, d(d(2, d(1, d(B, D5))), N3)), d(M1, d(B, d(E, D5)))))), d(D1, d(d(A, d(d(2, d(1, d(B, E5))), N3)), d(M1, d(B, d(E, E5)))))), J4=d(d(A, d(D1, d(d(A, d(d(2, d(1, d(B, F5))), N3)), d(M1, d(B, d(E, F5)))))), d(D1, d(d(A, d(d(2, d(1, d(B, G5))), N3)), d(M1, d(B, d(E, G5)))))), L4=d(d(A, d(D1, d(d(A, d(d(2, d(1, d(B, H5))), N3)), d(M1, d(B, d(E, H5)))))), d(D1, d(d(A, d(d(2, d(1, d(B, I5))), N3)), d(M1, d(B, d(E, I5)))))), W4=d(D1, d(d(A, d(d(2, d(1, d(B, J5))), d(B, K5))), d(d(2, d(1, d(B, d(E, K5)))), d(B, d(E, J5))))), X4=d(F3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y4=d(F3, d(1, V2)), A5=d(F3, d(1, d(E, H4))), C5=d(F3, d(1, d(E, N4))), E5=d(F3, d(1, Y2)), L5=d(F3, d(1, d(E, B4))), T1=d(F3, d(1, Z2)), G5=d(F3, d(1, d(E, M5))), I5=d(F3, d(1, d(E, N5))), R3=d(F3, d(1, d(d(A, d(d(2, d(1, d(d(2, d(1, d(3, d(C2, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(S, M)))))), M))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, G2)))), M))), 1)))), M))))), M)), H))))), I2)))), M)))))), M))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(d(A, d(d(2, d(1, d(B, S3))), M2)), d(d(2, d(1, d(B, d(E, S2)))), d(B, d(E, S3))))))), d(d(2, d(K, d(P, d(d(2, d(J, d(I, d(d(2, d(1, d(2, d(R, M)))), L2)))), d(K, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, d(N, d(I, d(K, d(I, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C2, 1))))), I2)))), M))), H))))))))), M)))), d(K, d(N, d(d(2, d(1, d(2, d(S, I2)))), M)))))))))), H)))), Z4=d(F3, d(1, H4)), B5=d(F3, d(1, N4)), D5=d(F3, d(1, E3)), J5=d(F3, d(1, B4)), L1=d(F3, d(1, J3)), F5=d(F3, d(1, M5)), H5=d(F3, d(1, N5)), B3=d(F3, H), M5=d(F3, d(d(2, d(1, d(Q1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, F))))), M))), A2)))), M)), H)))), V)), N5=d(F3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(I, d(B2, d(I, d(T, P2)))))))), M))), d(B2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(T, d(Q1, P2))))), M)))), M))))))), M)), H)), V1=d(F3, d(D1, d(d(A, d(d(2, d(1, d(B, I4))), F3)), d(C1, d(B, d(E, I4)))))), X1=d(F3, d(D1, d(d(A, d(d(2, d(1, d(B, K4))), F3)), d(C1, d(B, d(E, K4)))))), O5=d(F3, d(D1, d(d(A, d(S1, d(B, P5))), d(d(2, d(1, d(B, d(E, P5)))), A3)))), Q5=d(F3, d(D1, d(d(A, d(S1, d(B, R5))), d(d(2, d(1, d(B, d(E, R5)))), A3)))), K5=d(F3, d(D1, d(d(A, d(d(2, d(1, N3)), d(B, L5))), d(d(2, d(1, d(B, d(E, L5)))), N1)))), P5=d(F3, d(D1, d(d(A, d(U1, M3)), d(K1, C3)))), P3=d(F3, d(D1, d(d(A, d(U1, d(B, O5))), d(d(2, d(1, d(B, d(E, O5)))), C3)))), R5=d(F3, d(D1, d(d(A, d(W1, M3)), d(K1, D3)))), Q3=d(F3, d(D1, d(d(A, d(W1, d(B, Q5))), d(d(2, d(1, d(B, d(E, Q5)))), D3)))), V4=d(H3, E3)]).
mm_proof('pm2.21fal', d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), C)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(B, d(D, 1)))), F))))), G)))), H))))), d(A, d(d(d(d(2, d(1, 2)), 1), I), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(E, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(B, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(B, d(D, d(B, I))))), F))))), G)))), H)))))))-[J=d(2, d(1, 1)), K=d(2, d(1, 3)), I=d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), F)))), G))), B=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), K), H=d(d(2, 1), 1), G=d(J, H), F=d(J, d(d(2, d(1, C)), L)), L=d(K, G), C=d(d(2, d(K, d(d(2, d(1, d(2, L))), H))), H)]).
mm_proof(nottru, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, C))))), D))), d(d(2, d(1, E)), d(C, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))-[B=d(2, d(1, 1)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(J, G))))), A=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), K)))), D)))))), J=d(2, d(H, L)), M=d(3, d(J, N)), E=d(3, d(J, d(d(2, d(1, d(2, d(H, d(I, L))))), D))), G=d(d(2, 1), 1), D=d(B, G), K=d(B, d(d(2, d(1, O)), N)), N=d(H, D), L=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, G)))), K)))), D), C=d(d(2, d(1, M)), d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), O=d(d(2, d(H, d(d(2, d(1, d(2, N))), G))), G), F=d(O, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), D))), G))), d(3, d(J, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(A, K)))), D)))))), D)))))), K)))), D))), G)))))]).
mm_proof(truantru, d(A, d(d(B, d(d(C, d(d(2, d(1, d(B, D))), d(B, E))), d(d(2, d(1, d(B, d(A, E)))), d(B, d(A, D))))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, F))))), L=d(2, d(1, d(2, C))), M=d(2, d(1, F)), N=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, O))))), d(1, P)))), K=d(2, d(I, Q)), R=d(3, d(K, S)), T=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, Q))))), O))), F=d(d(2, 1), 1), U=d(G, 1), O=d(G, F), V=d(G, d(d(2, d(1, W)), S)), S=d(I, O), X=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), V)))), O)), C=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), P=d(d(2, d(1, d(2, F))), O), Q=d(d(2, d(1, d(2, d(d(2, d(1, M)), V)))), O), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, Z))))), X)))), O), B=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, T)), B1), C1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), O)))))), O))))), D1), E1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), O)))))), O))))), D1), W=d(d(2, d(I, d(d(2, d(1, d(2, S))), F))), F), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(1, C1)))))), O))), Y)))), O)), F), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), O))), A1)))), O)), F), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(B, G1), Z=d(B, I1), J1=d(B, K1), H1=d(W, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), O))), F))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, V)))), O)))))), O)))))), V)))), O))), F))))), L1=d(F1, C1), I1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(A, d(d(C, d(d(2, d(1, Z)), B1)), d(d(2, d(1, d(B, d(A, G1)))), d(B, d(A, I1))))), D=d(d(C, d(d(2, d(1, d(B, M1))), d(B, L1))), d(d(2, d(1, d(B, d(A, L1)))), d(B, d(A, M1)))), K1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), O))), d(H, d(2, d(1, B))))))), O)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(N, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), U)))), O)))))), d(N, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), U)))), O))))), N1=d(J1, d(1, d(d(C, E1), E1))), O1=d(J1, F1), E=d(J1, d(d(B, d(A, K1)), d(d(C, d(d(2, d(1, d(B, N1))), d(B, O1))), d(d(2, d(1, d(B, d(A, O1)))), d(B, d(A, N1))))))]).
mm_proof(falanfal, d(A, d(d(B, d(d(C, d(d(2, d(1, d(B, D))), d(B, E))), d(d(2, d(1, d(B, d(A, E)))), d(B, d(A, D))))), F))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(K, F))))), L=d(2, d(1, d(2, C))), M=d(2, d(1, F)), N=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, O))))), d(1, P)))), K=d(2, d(I, Q)), R=d(3, d(K, S)), T=d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, Q))))), O))), F=d(d(2, 1), 1), U=d(G, 1), O=d(G, F), V=d(G, d(d(2, d(1, W)), S)), S=d(I, O), X=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), V)))), O)), C=d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X), P=d(d(2, d(1, d(2, F))), O), Q=d(d(2, d(1, d(2, d(d(2, d(1, M)), V)))), O), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, Z))))), X)))), O), B=d(d(2, d(1, R)), d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, T)), B1), C1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), V)))), O)))))), O))))), D1), E1=d(d(2, d(1, d(3, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), V)))), O)))))), O))))), D1), W=d(d(2, d(I, d(d(2, d(1, d(2, S))), F))), F), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(1, C1)))))), O))), Y)))), O)), F), A=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), O))), A1)))), O)), F), G1=d(d(3, d(3, d(1, H1))), H1), D1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(B, G1), Z=d(B, I1), J1=d(B, K1), H1=d(W, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), O))), F))), d(3, d(K, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, V)))), O)))))), O)))))), V)))), O))), F))))), L1=d(F1, C1), I1=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(A, d(d(C, d(d(2, d(1, Z)), B1)), d(d(2, d(1, d(B, d(A, G1)))), d(B, d(A, I1))))), D=d(d(C, d(d(2, d(1, d(B, M1))), d(B, L1))), d(d(2, d(1, d(B, d(A, L1)))), d(B, d(A, M1)))), K1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), O))), d(H, d(2, d(1, B))))))), O)), F)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(N, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), U)))), O)))))), d(N, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), U)))), O))))), N1=d(J1, d(1, d(d(C, E1), E1))), O1=d(J1, F1), E=d(J1, d(d(B, d(A, K1)), d(d(C, d(d(2, d(1, d(B, N1))), d(B, O1))), d(d(2, d(1, d(B, d(A, O1)))), d(B, d(A, N1))))))]).
mm_proof(truortru, d(d(A, d(d(2, d(B, d(C, d(d(2, d(d(2, d(1, 2)), d(D, E))), d(B, d(F, d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I)), d(d(2, d(1, d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, H))))), K))), d(d(2, d(1, L)), d(H, d(d(3, d(3, d(1, M))), M))))))), K)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1))-[E=d(1, I), D=d(2, d(1, 1)), B=d(2, d(1, 3)), G=d(2, d(1, d(2, E))), F=d(2, d(1, d(2, d(1, d(N, I))))), C=d(2, d(1, d(2, O))), J=d(2, d(1, d(2, A))), N=d(2, d(B, P)), Q=d(3, d(N, O)), L=d(3, d(N, d(d(2, d(1, d(2, d(B, d(F, P))))), K))), I=d(d(2, 1), 1), K=d(D, I), R=d(D, d(d(2, d(1, S)), O)), O=d(B, K), A=d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), K)))), R)))), K))), P=d(d(2, d(1, d(2, d(G, R)))), K), H=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(C, I))), I), M=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), K))), I))), d(3, d(N, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(J, R)))), K)))))), K)))))), R)))), K))), I)))))]).
mm_proof(falorfal, d(d(A, d(d(2, d(B, d(C, d(d(2, d(d(2, d(1, 2)), d(D, E))), d(B, d(F, d(G, d(H, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), I)), d(d(2, d(1, d(H, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(D, H))))), K))), d(d(2, d(1, L)), d(H, d(d(3, d(3, d(1, M))), M))))))), K)), I), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1))-[E=d(1, I), D=d(2, d(1, 1)), B=d(2, d(1, 3)), G=d(2, d(1, d(2, E))), F=d(2, d(1, d(2, d(1, d(N, I))))), C=d(2, d(1, d(2, O))), J=d(2, d(1, d(2, A))), N=d(2, d(B, P)), Q=d(3, d(N, O)), L=d(3, d(N, d(d(2, d(1, d(2, d(B, d(F, P))))), K))), I=d(d(2, 1), 1), K=d(D, I), R=d(D, d(d(2, d(1, S)), O)), O=d(B, K), A=d(d(2, d(1, d(2, d(1, d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), K)))), R)))), K))), P=d(d(2, d(1, d(2, d(G, R)))), K), H=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S=d(d(2, d(B, d(C, I))), I), M=d(S, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), K))), I))), d(3, d(N, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(B, d(F, d(d(2, d(1, d(2, d(J, R)))), K)))))), K)))))), R)))), K))), I)))))]).
mm_proof(trunantru, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, A))), P=d(2, F), Q=d(2, d(1, B)), R=d(2, d(1, d(B, d(d(A, E), E)))), S=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, T))))), d(1, U)))), V=d(2, d(J, W)), X=d(3, d(V, N)), Y=d(3, d(V, d(d(2, d(1, d(2, d(J, d(K, W))))), T))), G=d(d(2, 1), 1), Z=d(H, 1), T=d(H, G), A1=d(H, B1), N=d(J, T), A=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), A1)))), T))), U=d(d(2, d(1, d(2, G))), T), W=d(d(2, d(1, d(2, d(d(2, d(1, P)), A1)))), T), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, Y)), d(B, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), N), E1=d(d(2, d(J, d(M, G))), G), L=d(V, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, B))))), T))), C1)))), T)), G), F1=d(B, d(E, G1)), H1=d(B, G1), D1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), T))), G))), d(3, d(V, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(O, A1)))), T)))))), T)))))), A1)))), T))), G))))), C=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(E, d(E, d(d(A, d(d(2, d(1, d(B, I1))), d(B, J1))), d(d(2, d(1, d(B, d(E, J1)))), d(B, d(E, I1)))))), K1=d(E, d(d(A, d(d(2, d(1, d(B, L1))), d(B, M1))), d(d(2, d(1, d(B, N1))), d(B, d(E, L1))))), N1=d(E, M1), J1=d(d(A, d(d(2, d(1, d(B, K1))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, K1)))), I1=d(d(A, d(d(2, d(J, d(M, d(d(2, d(I, d(H, P))), d(J, d(K, F)))))), G)), 1), M1=d(d(A, L), B1), G1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(I, d(2, d(1, C1)))))))), T))), d(I, Q))))), T)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Z)))), T)))))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), T))))), O1=d(F1, d(d(A, d(d(2, d(1, d(B, P1))), d(B, Q1))), d(d(2, d(1, d(B, d(E, Q1)))), d(B, d(E, P1))))), R1=d(H1, d(1, N1)), P1=d(H1, d(1, M1)), S1=d(H1, G), Q1=d(H1, d(F1, d(d(A, d(d(2, d(1, d(B, S1))), d(B, R1))), d(d(2, d(1, d(B, d(E, R1)))), d(B, d(E, S1)))))), L1=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, d(Q, O1))))))), T))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, O1))))), T)))), T)))))), T)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(J, d(Q, G))))))), T))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, G))))), T)))), T)))))), T)), G))), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(trunortru, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, F))), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, A))), Q=d(2, d(1, B)), R=d(2, d(1, d(B, d(d(A, E), E)))), S=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, T))))), d(1, U)))), V=d(2, d(J, W)), X=d(3, d(V, O)), Y=d(3, d(V, d(d(2, d(1, d(2, d(J, d(L, W))))), T))), G=d(d(2, 1), 1), Z=d(H, 1), T=d(H, G), A1=d(H, B1), O=d(J, T), A=d(d(2, d(1, d(2, d(1, d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), A1)))), T))), U=d(d(2, d(1, d(2, G))), T), W=d(d(2, d(1, d(2, d(K, A1)))), T), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, Y)), d(B, d(d(3, d(3, d(1, D1))), D1))), B1=d(d(2, d(1, E1)), O), E1=d(d(2, d(J, d(N, G))), G), M=d(V, G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, B))))), T))), C1)))), T)), G), F1=d(B, d(E, G1)), H1=d(B, G1), D1=d(E1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), T))), G))), d(3, d(V, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(J, d(L, d(d(2, d(1, d(2, d(P, A1)))), T)))))), T)))))), A1)))), T))), G))))), C=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D=d(d(A, d(d(2, d(1, d(B, I1))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, I1)))), J1=d(d(A, M), B1), G1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(I, d(2, d(1, C1)))))))), T))), d(I, Q))))), T)), G)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), Z)))), T)))))), d(S, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), Z)))), T))))), K1=d(F1, d(d(A, d(d(2, d(1, d(B, L1))), d(B, M1))), d(d(2, d(1, d(B, d(E, M1)))), d(B, d(E, L1))))), N1=d(H1, d(1, d(E, J1))), L1=d(H1, d(1, J1)), O1=d(H1, G), M1=d(H1, d(F1, d(d(A, d(d(2, d(1, d(B, O1))), d(B, N1))), d(d(2, d(1, d(B, d(E, N1)))), d(B, d(E, O1)))))), I1=d(d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(J, d(Q, K1))))))), T))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, K1))))), T)))), T)))))), T)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(H, d(J, d(Q, G))))))), T))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, G))))), T)))), T)))))), T)), G))), d(d(A, d(d(2, d(J, d(N, d(d(2, d(I, d(H, F))), d(J, d(L, d(K, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G)), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), 1)))]).
mm_proof(hadbi, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, C))))-[E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, I)))), J=d(2, d(1, d(2, A))), K=d(2, d(1, d(2, B))), L=d(2, d(1, B)), M=d(2, d(1, N)), O=d(2, d(1, d(B, P))), Q=d(2, d(1, R)), S=d(2, d(1, T)), U=d(2, d(1, d(B, V))), W=d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, X))))), d(1, Y)))), Z=d(2, d(G, A1)), B1=d(3, d(Z, C1)), D1=d(3, d(Z, d(d(2, d(1, d(2, d(G, d(H, A1))))), X))), E1=d(d(2, 1), 1), F1=d(E, 1), X=d(E, E1), G1=d(E, H1), C1=d(G, X), A=d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), G1)))), X))), Y=d(d(2, d(1, d(2, E1))), X), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, E1)))), G1)))), X), B=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, D1)), d(B, d(d(3, d(3, d(1, J1))), J1))), H1=d(d(2, d(1, K1)), C1), K1=d(d(2, d(G, d(d(2, d(1, d(2, C1))), E1))), E1), I=d(Z, E1), L1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, d(K, X)))))), X))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, F1)))), X))), 1)))), X))))), X)), E1), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, B))))), X))), I1)))), X)), E1), N=d(B, d(D, M1)), N1=d(B, d(D, O1)), P1=d(B, Q1), R1=d(B, d(D, S1)), T1=d(B, d(D, V)), R=d(B, d(D, U1)), V1=d(B, d(D, W1)), X1=d(B, Y1), Z1=d(B, O1), A2=d(B, B2), T=d(B, C2), D2=d(B, S1), E2=d(B, U1), F2=d(B, W1), J1=d(K1, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), X))), E1))), d(3, d(Z, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(G, d(H, d(d(2, d(1, d(2, d(J, G1)))), X)))))), X)))))), G1)))), X))), E1))))), G2=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H2=d(D, d(d(A, d(d(2, d(1, d(B, I2))), d(B, J2))), d(d(2, d(1, d(B, d(D, J2)))), d(B, d(D, I2))))), K2=d(D, d(d(A, d(d(2, d(1, d(B, M1))), d(B, L2))), d(d(2, d(1, d(B, d(D, L2)))), N))), L2=d(D, d(d(A, d(d(2, d(1, d(B, M2))), X1)), d(O, d(B, d(D, M2))))), P=d(D, Y1), N2=d(D, B2), Q1=d(D, C2), O2=d(D, d(d(A, d(N1, d(d(A, d(U, E2)), d(Q, T1)))), d(N1, d(d(A, d(d(2, d(1, D2)), E2)), d(Q, R1))))), C=d(d(A, d(d(2, d(1, d(B, H2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, G2))), d(B, d(D, H2)))), I2=d(d(A, d(d(2, d(1, d(B, K2))), P1)), d(d(2, d(1, d(B, d(D, Q1)))), d(B, d(D, K2)))), P2=d(d(A, d(d(2, d(1, d(B, O2))), A2)), d(d(2, d(1, d(B, N2))), d(B, d(D, O2)))), J2=d(d(A, d(d(2, d(1, d(B, Q2))), T)), d(d(2, d(1, P1)), d(B, d(D, Q2)))), M1=d(d(A, d(S, d(B, P2))), d(d(2, d(1, d(B, d(D, P2)))), P1)), Q2=d(d(A, d(S, d(B, R2))), d(d(2, d(1, d(B, d(D, R2)))), P1)), S2=d(d(A, d(d(2, d(1, d(B, T2))), X1)), d(O, d(B, d(D, T2)))), Y1=d(d(A, I), H1), O1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, d(F, d(2, d(1, I1)))))))), X))), d(F, L))))), X)), E1)), d(d(2, d(F, d(d(2, d(1, d(2, d(1, A)))), d(W, d(E, d(d(2, d(1, d(2, d(K, F1)))), X)))))), d(W, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), F1)))), X))))), B2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, d(G, d(L, U2))))))), X))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(S, U2))))), X)))), X)))))), X)), E1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(E, d(G, d(L, E1))))))), X))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(S, E1))))), X)))), X)))))), X)), E1)), C2=d(d(A, D), D), R2=d(d(A, d(N1, d(d(A, d(d(2, d(1, d(B, V2))), E2)), d(Q, d(B, d(D, V2)))))), d(N1, d(d(A, d(d(2, d(1, d(B, W2))), E2)), d(Q, d(B, d(D, W2)))))), X2=d(N1, d(d(A, d(d(2, d(1, d(B, Y2))), F2)), d(d(2, d(1, V1)), d(B, d(D, Y2))))), U2=d(N1, d(d(A, d(U, d(B, Z2))), d(d(2, d(1, d(B, d(D, Z2)))), T1))), W2=d(Z1, d(1, d(D, S2))), S1=d(Z1, d(1, P)), Y2=d(Z1, d(1, N2)), V2=d(Z1, d(1, S2)), V=d(Z1, d(1, Y1)), U1=d(Z1, E1), A3=d(Z1, d(S, d(M, d(S, L1)))), B3=d(Z1, d(S, d(M, d(S, X2)))), W1=d(Z1, L1), C3=d(Z1, X2), Z2=d(Z1, d(N1, d(d(A, d(d(2, d(1, E2)), D2)), d(d(2, d(1, R1)), R)))), T2=d(A2, G2), M2=d(A2, d(D, d(K1, d(d(2, d(1, d(S, d(N1, d(d(A, d(d(2, d(1, F2)), d(B, A3))), d(d(2, d(1, d(B, d(D, A3)))), V1)))))), d(3, d(Z, d(S, d(N1, d(d(A, d(d(2, d(1, d(B, C3))), d(B, B3))), d(d(2, d(1, d(B, d(D, B3)))), d(B, d(D, C3))))))))))))]).
mm_proof(hadcoma, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, d(2, B))), N=d(2, d(1, B)), E=d(2, d(1, d(B, O))), P=d(2, d(1, Q)), R=d(2, d(1, d(B, S))), T=d(2, d(1, U)), V=d(2, d(1, W)), X=d(2, d(1, Y)), Z=d(2, d(1, d(B, A1))), B1=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, C1))))), d(1, D1)))), E1=d(2, d(I, F1)), G1=d(3, d(E1, H1)), I1=d(3, d(E1, d(d(2, d(1, d(2, d(I, d(J, F1))))), C1))), J1=d(d(2, 1), 1), K1=d(G, 1), C1=d(G, J1), L1=d(G, M1), H1=d(I, C1), A=d(d(2, d(1, d(2, d(1, d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), L1)))), C1))), D1=d(d(2, d(1, d(2, J1))), C1), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J1)))), L1)))), C1), B=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, I1)), d(B, d(d(3, d(3, d(1, O1))), O1))), M1=d(d(2, d(1, P1)), H1), P1=d(d(2, d(I, d(d(2, d(1, d(2, H1))), J1))), J1), K=d(E1, J1), Q1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(M, C1)))))), C1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, K1)))), C1))), 1)))), C1))))), C1)), J1), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), C1))), N1)))), C1)), J1), Q=d(B, d(F, R1)), S1=d(B, d(F, T1)), U=d(B, U1), V1=d(B, d(F, W1)), X1=d(B, d(F, A1)), W=d(B, d(F, Y1)), Z1=d(B, d(F, A2)), B2=d(B, C2), D2=d(B, T1), E2=d(B, F2), Y=d(B, G2), H2=d(B, W1), I2=d(B, Y1), J2=d(B, A2), O1=d(P1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1)))), C1))), J1))), d(3, d(E1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, L1)))), C1)))))), C1)))))), L1)))), C1))), J1))))), K2=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(F, D), L2=d(F, d(d(A, d(d(2, d(1, d(B, M2))), d(B, N2))), d(d(2, d(1, d(B, d(F, N2)))), d(B, d(F, M2))))), O2=d(F, d(d(A, d(d(2, d(1, d(B, R1))), d(B, P2))), d(d(2, d(1, d(B, d(F, P2)))), Q))), P2=d(F, d(d(A, d(d(2, d(1, d(B, Q2))), B2)), d(R, d(B, d(F, Q2))))), S=d(F, C2), R2=d(F, F2), U1=d(F, G2), S2=d(F, d(d(A, d(S1, d(d(A, d(Z, I2)), d(V, X1)))), d(S1, d(d(A, d(d(2, d(1, H2)), I2)), d(V, V1))))), C=d(d(A, d(E, d(B, T2))), d(d(2, d(1, d(B, d(F, T2)))), d(B, d(F, O)))), U2=d(d(A, d(d(2, d(1, d(B, L2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, K2))), d(B, d(F, L2)))), M2=d(d(A, d(d(2, d(1, d(B, O2))), U)), d(d(2, d(1, d(B, d(F, U1)))), d(B, d(F, O2)))), V2=d(d(A, d(d(2, d(1, d(B, S2))), E2)), d(d(2, d(1, d(B, R2))), d(B, d(F, S2)))), D=d(d(A, d(d(2, d(1, d(B, U2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(F, U2)))), N2=d(d(A, d(d(2, d(1, d(B, W2))), Y)), d(T, d(B, d(F, W2)))), T2=d(d(A, d(d(2, d(1, d(B, X2))), Y)), d(T, d(B, d(F, X2)))), R1=d(d(A, d(X, d(B, V2))), d(d(2, d(1, d(B, d(F, V2)))), U)), W2=d(d(A, d(X, d(B, Y2))), d(d(2, d(1, d(B, d(F, Y2)))), U)), X2=d(d(A, d(X, d(B, Z2))), d(d(2, d(1, d(B, d(F, Z2)))), U)), A3=d(d(A, d(d(2, d(1, d(B, B3))), B2)), d(R, d(B, d(F, B3)))), C2=d(d(A, K), M1), T1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, N1)))))))), C1))), d(H, N))))), C1)), J1)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(B1, d(G, d(d(2, d(1, d(2, d(M, K1)))), C1)))))), d(B1, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), K1)))), C1))))), F2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, C3))))))), C1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(X, C3))))), C1)))), C1)))))), C1)), J1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, J1))))))), C1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(X, J1))))), C1)))), C1)))))), C1)), J1)), G2=d(d(A, F), F), Y2=d(d(A, d(S1, d(d(A, d(d(2, d(1, d(B, D3))), I2)), d(V, d(B, d(F, D3)))))), d(S1, d(d(A, d(d(2, d(1, d(B, E3))), I2)), d(V, d(B, d(F, E3)))))), Z2=d(d(A, d(S1, d(d(A, d(d(2, d(1, d(B, F3))), I2)), d(V, d(B, d(F, F3)))))), d(S1, d(d(A, d(d(2, d(1, d(B, G3))), I2)), d(V, d(B, d(F, G3)))))), H3=d(S1, d(d(A, d(d(2, d(1, d(B, I3))), J2)), d(d(2, d(1, Z1)), d(B, d(F, I3))))), C3=d(S1, d(d(A, d(Z, d(B, J3))), d(d(2, d(1, d(B, d(F, J3)))), X1))), E3=d(D2, d(1, d(F, A3))), W1=d(D2, d(1, S)), I3=d(D2, d(1, R2)), G3=d(D2, d(1, U1)), D3=d(D2, d(1, A3)), A1=d(D2, d(1, C2)), F3=d(D2, d(1, G2)), Y1=d(D2, J1), K3=d(D2, d(X, d(P, d(X, Q1)))), L3=d(D2, d(X, d(P, d(X, H3)))), A2=d(D2, Q1), M3=d(D2, H3), J3=d(D2, d(S1, d(d(A, d(d(2, d(1, I2)), H2)), d(d(2, d(1, V1)), W)))), B3=d(E2, K2), Q2=d(E2, d(F, d(P1, d(d(2, d(1, d(X, d(S1, d(d(A, d(d(2, d(1, J2)), d(B, K3))), d(d(2, d(1, d(B, d(F, K3)))), Z1)))))), d(3, d(E1, d(X, d(S1, d(d(A, d(d(2, d(1, d(B, M3))), d(B, L3))), d(d(2, d(1, d(B, d(F, L3)))), d(B, d(F, M3))))))))))))]).
mm_proof(hadcomb, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(E, d(B, d(F, C))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, A))), M=d(2, d(1, d(2, B))), N=d(2, d(1, B)), O=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, d(F, R)))), E=d(2, d(1, d(B, S))), T=d(2, d(1, U)), V=d(2, d(1, d(B, W))), X=d(2, d(1, Y)), Z=d(2, d(1, A1)), B1=d(2, d(1, d(B, d(F, C1)))), D1=d(2, d(1, E1)), F1=d(2, d(1, G1)), H1=d(2, d(1, d(B, I1))), J1=d(2, d(1, d(B, K1))), L1=d(2, d(1, M1)), N1=d(2, d(1, d(B, O1))), P1=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q1))))), d(1, R1)))), S1=d(2, d(I, T1)), U1=d(3, d(S1, V1)), W1=d(3, d(S1, d(d(2, d(1, d(2, d(I, d(J, T1))))), Q1))), X1=d(d(2, 1), 1), Y1=d(G, 1), Q1=d(G, X1), Z1=d(G, A2), V1=d(I, Q1), A=d(d(2, d(1, d(2, d(1, d(W1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R1))), Z1)))), Q1))), R1=d(d(2, d(1, d(2, X1))), Q1), T1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, X1)))), Z1)))), Q1), B=d(d(2, d(1, U1)), d(U1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B2=d(d(2, d(1, W1)), d(B, d(d(3, d(3, d(1, C2))), C2))), A2=d(d(2, d(1, D2)), V1), D2=d(d(2, d(I, d(d(2, d(1, d(2, V1))), X1))), X1), K=d(S1, X1), E2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(M, Q1)))))), Q1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, Y1)))), Q1))), 1)))), Q1))))), Q1)), X1), F=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, B))))), Q1))), B2)))), Q1)), X1), F2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G2=d(B, d(F, P)), H2=d(B, d(F, I2)), U=d(B, d(F, J2)), K2=d(B, R), Y=d(B, I2), A1=d(B, L2), M2=d(B, d(F, N2)), O2=d(B, d(F, P2)), Q2=d(B, d(F, I1)), R2=d(B, d(F, K1)), E1=d(B, d(F, S2)), T2=d(B, U2), V2=d(B, W2), X2=d(B, Y2), Z2=d(B, A3), B3=d(B, C3), G1=d(B, D3), E3=d(B, N2), F3=d(B, P2), G3=d(B, C1), H3=d(B, S2), M1=d(B, I3), C2=d(D2, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z1)))), Q1))), X1))), d(3, d(S1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S1, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Z1)))), Q1)))))), Q1)))))), Z1)))), Q1))), X1))))), J3=d(D2, d(d(2, d(1, d(Y, d(d(A, d(L1, d(B, K3))), d(d(2, d(1, d(B, d(F, K3)))), T2))))), d(3, d(S1, d(Y, d(d(A, d(N1, d(B, L3))), d(d(2, d(1, d(B, d(F, L3)))), V2))))))), P=d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M3=d(F, N3), O3=d(F, d(d(A, d(d(2, d(1, d(B, N3))), d(B, P3))), d(d(2, d(1, d(B, d(F, P3)))), d(B, M3)))), S=d(F, D), Q3=d(F, d(d(A, d(d(2, d(1, d(B, J2))), K2)), d(Q, U))), R3=d(F, d(d(A, d(d(2, d(1, d(B, S3))), G1)), d(Z, d(B, d(F, S3))))), T3=d(F, d(d(A, d(d(2, d(1, E3)), d(B, U3))), d(d(2, d(1, d(B, d(F, U3)))), M2))), R=d(F, d(d(A, d(d(2, d(1, d(B, V3))), X2)), d(V, d(B, d(F, V3))))), W=d(F, Y2), I2=d(F, A3), W3=d(F, C3), L2=d(F, D3), X3=d(F, d(d(A, d(Y, d(d(A, d(J1, H3)), d(D1, R2)))), d(Y, d(d(A, d(d(2, d(1, F3)), H3)), d(D1, O2))))), U2=d(F, I3), W2=d(F, O1), Y3=d(d(A, X1), X1), U3=d(d(A, d(d(2, d(1, d(B, J3))), d(B, R3))), d(d(2, d(1, d(B, d(F, R3)))), d(B, d(F, J3)))), Z3=d(d(A, d(O, d(B, O3))), d(d(2, d(1, d(B, d(F, O3)))), G2)), A4=d(d(A, d(O, d(B, B4))), d(d(2, d(1, d(B, d(F, B4)))), G2)), C4=d(d(A, d(O, d(B, D4))), d(d(2, d(1, d(B, d(F, D4)))), G2)), C=d(d(A, d(E, d(B, A4))), d(d(2, d(1, d(B, d(F, A4)))), d(B, d(F, S)))), N3=d(d(A, d(d(2, d(1, d(B, Q3))), A1)), d(d(2, d(1, d(B, d(F, L2)))), d(B, d(F, Q3)))), P3=d(d(A, d(d(2, d(1, d(B, T3))), K2)), d(Q, d(B, d(F, T3)))), E4=d(d(A, d(X, d(B, F4))), d(d(2, d(1, d(B, d(F, F4)))), H2)), G4=d(d(A, d(X, d(B, H4))), d(d(2, d(1, d(B, d(F, H4)))), H2)), I4=d(d(A, d(d(2, d(1, d(B, X3))), B3)), d(d(2, d(1, d(B, W3))), d(B, d(F, X3)))), J4=d(d(A, d(d(2, d(1, d(B, Z3))), F2)), d(O, d(B, d(F, Z3)))), D=d(d(A, d(d(2, d(1, d(B, J4))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(F, J4)))), K4=d(d(A, d(d(2, d(1, d(B, L4))), G1)), d(Z, d(B, d(F, L4)))), J2=d(d(A, d(F1, d(B, I4))), d(d(2, d(1, d(B, d(F, I4)))), A1)), L4=d(d(A, d(F1, d(B, M4))), d(d(2, d(1, d(B, d(F, M4)))), A1)), S3=d(d(A, d(F1, E3)), d(d(2, d(1, M2)), A1)), N4=d(d(A, d(d(2, d(1, d(B, O4))), X2)), d(V, d(B, d(F, O4)))), B4=d(d(A, d(d(2, d(1, d(B, P4))), F2)), d(O, d(B, d(F, P4)))), D4=d(d(A, d(d(2, d(1, d(B, Q4))), F2)), d(O, d(B, d(F, Q4)))), Y2=d(d(A, K), A2), A3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, B2)))))))), Q1))), d(H, N))))), Q1)), X1)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(P1, d(G, d(d(2, d(1, d(2, d(M, Y1)))), Q1)))))), d(P1, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B2))), Y1)))), Q1))))), C3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, R4))))))), Q1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(F1, R4))))), Q1)))), Q1)))))), Q1)), X1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(N, X1))))))), Q1))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(F1, X1))))), Q1)))), Q1)))))), Q1)), X1)), D3=d(d(A, F), F), M4=d(d(A, d(Y, d(d(A, d(d(2, d(1, d(B, S4))), H3)), d(D1, d(B, d(F, S4)))))), d(Y, d(d(A, d(d(2, d(1, d(B, T4))), H3)), d(D1, d(B, d(F, T4)))))), U4=d(d(A, d(Y, d(d(A, d(d(2, d(1, d(B, V4))), H3)), d(D1, d(B, d(F, V4)))))), d(Y, d(d(A, d(d(2, d(1, d(B, W4))), H3)), d(D1, d(B, d(F, W4)))))), N2=d(d(A, d(Y, d(d(A, d(d(2, d(1, d(B, X4))), H3)), d(D1, d(B, d(F, X4)))))), d(Y, d(d(A, d(d(2, d(1, d(B, Y4))), H3)), d(D1, d(B, d(F, Y4)))))), F4=d(d(A, d(Y, d(d(A, d(d(2, d(1, d(B, Z4))), H3)), d(D1, d(B, d(F, Z4)))))), d(Y, d(d(A, d(d(2, d(1, d(B, A5))), H3)), d(D1, d(B, d(F, A5)))))), H4=d(d(A, d(Y, d(d(A, d(d(2, d(1, d(B, B5))), H3)), d(D1, d(B, d(F, B5)))))), d(Y, d(d(A, d(d(2, d(1, d(B, C5))), H3)), d(D1, d(B, d(F, C5)))))), D5=d(Y, d(d(A, d(d(2, d(1, d(B, E5))), M1)), d(d(2, d(1, T2)), d(B, d(F, E5))))), R4=d(Y, d(d(A, d(J1, d(B, F5))), d(d(2, d(1, d(B, d(F, F5)))), R2))), T4=d(Z2, d(1, d(F, Y3))), W4=d(Z2, d(1, d(F, C4))), G5=d(Z2, d(1, M3)), Y4=d(Z2, d(1, d(F, N4))), P2=d(Z2, d(1, W)), E5=d(Z2, d(1, W3)), I1=d(Z2, d(1, L2)), A5=d(Z2, d(1, U2)), C5=d(Z2, d(1, W2)), S4=d(Z2, d(1, Y3)), V4=d(Z2, d(1, C4)), X4=d(Z2, d(1, N4)), K1=d(Z2, d(1, Y2)), C1=d(Z2, d(1, D3)), Z4=d(Z2, d(1, I3)), B5=d(Z2, d(1, O1)), S2=d(Z2, X1), H5=d(Z2, d(F1, d(T, d(F1, E2)))), I5=d(Z2, d(F1, d(T, d(F1, D5)))), K3=d(Z2, d(F1, d(Y, d(d(A, d(H1, d(B, J5))), d(d(2, d(1, d(B, d(F, J5)))), Q2))))), L3=d(Z2, d(F1, d(Y, d(d(A, d(d(2, d(1, d(B, K5))), d(B, G5))), d(d(2, d(1, d(B, d(F, G5)))), d(B, d(F, K5))))))), I3=d(Z2, E2), L5=d(Z2, d(Y, d(d(A, d(d(2, d(1, d(B, E4))), Z2)), d(X, d(B, d(F, E4)))))), M5=d(Z2, d(Y, d(d(A, d(d(2, d(1, d(B, G4))), Z2)), d(X, d(B, d(F, G4)))))), O1=d(Z2, D5), K5=d(Z2, d(Y, d(d(A, d(H1, d(B, N5))), d(d(2, d(1, d(B, d(F, N5)))), Q2)))), F5=d(Z2, d(Y, d(d(A, d(d(2, d(1, H3)), F3)), d(d(2, d(1, O2)), E1)))), J5=d(Z2, d(Y, d(d(A, d(d(2, d(1, d(B, L5))), G3)), d(B1, d(B, d(F, L5)))))), N5=d(Z2, d(Y, d(d(A, d(d(2, d(1, d(B, M5))), G3)), d(B1, d(B, d(F, M5)))))), O4=d(B3, P), V3=d(B3, d(F, d(D2, d(d(2, d(1, d(F1, d(Y, d(d(A, d(L1, d(B, H5))), d(d(2, d(1, d(B, d(F, H5)))), T2)))))), d(3, d(S1, d(F1, d(Y, d(d(A, d(N1, d(B, I5))), d(d(2, d(1, d(B, d(F, I5)))), V2)))))))))), P4=d(B3, d(d(A, d(d(2, d(1, d(B, K4))), d(B, U4))), d(d(2, d(1, d(B, d(F, U4)))), d(B, d(F, K4))))), Q4=d(B3, D3)]).
mm_proof(hadrot, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, d(2, B))), M=d(2, d(1, B)), N=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), O=d(2, d(1, d(B, P))), Q=d(2, d(1, d(B, d(E, R)))), S=d(2, d(1, d(B, T))), U=d(2, d(1, d(B, V))), W=d(2, d(1, X)), Y=d(2, d(1, d(B, Z))), A1=d(2, d(1, B1)), C1=d(2, d(1, D1)), E1=d(2, d(1, F1)), G1=d(2, d(1, H1)), I1=d(2, d(1, d(B, J1))), K1=d(2, d(1, L1)), M1=d(2, d(1, d(B, N1))), O1=d(2, d(1, d(B, P1))), Q1=d(2, d(1, R1)), S1=d(2, d(1, d(B, T1))), U1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, V1))))), d(1, W1)))), X1=d(2, d(H, Y1)), Z1=d(3, d(X1, A2)), B2=d(3, d(X1, d(d(2, d(1, d(2, d(H, d(I, Y1))))), V1))), C2=d(d(2, 1), 1), D2=d(F, 1), V1=d(F, C2), E2=d(F, F2), A2=d(H, V1), A=d(d(2, d(1, d(2, d(1, d(B2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W1))), E2)))), V1))), W1=d(d(2, d(1, d(2, C2))), V1), Y1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, C2)))), E2)))), V1), B=d(d(2, d(1, Z1)), d(Z1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G2=d(d(2, d(1, B2)), d(B, d(d(3, d(3, d(1, H2))), H2))), F2=d(d(2, d(1, I2)), A2), I2=d(d(2, d(H, d(d(2, d(1, d(2, A2))), C2))), C2), J=d(X1, C2), J2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(L, V1)))))), V1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, D2)))), V1))), 1)))), V1))))), V1)), C2), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), V1))), G2)))), V1)), C2), K2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(B, d(E, P)), N2=d(B, d(E, O2)), P2=d(B, Q2), R2=d(B, S2), X=d(B, d(E, T2)), U2=d(B, R), B1=d(B, O2), D1=d(B, V2), W2=d(B, d(E, X2)), Y2=d(B, d(E, Z2)), A3=d(B, d(E, N1)), B3=d(B, d(E, P1)), F1=d(B, d(E, C3)), H1=d(B, d(E, D3)), E3=d(B, F3), G3=d(B, H3), I3=d(B, J3), K3=d(B, L3), M3=d(B, N3), L1=d(B, O3), P3=d(B, X2), Q3=d(B, Z2), R3=d(B, C3), S3=d(B, D3), R1=d(B, T3), H2=d(I2, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E2)))), V1))), C2))), d(3, d(X1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, E2)))), V1)))))), V1)))))), E2)))), V1))), C2))))), U3=d(I2, d(d(2, d(1, d(B1, d(d(A, d(Q1, d(B, V3))), d(d(2, d(1, d(B, d(E, V3)))), E3))))), d(3, d(X1, d(B1, d(d(A, d(S1, d(B, W3))), d(d(2, d(1, d(B, d(E, W3)))), G3))))))), P=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q2=d(E, J1), T=d(E, X3), Y3=d(E, d(d(A, d(I1, d(B, Z3))), d(d(2, d(1, d(B, d(E, Z3)))), P2))), A4=d(E, d(d(A, d(I1, d(B, B4))), d(d(2, d(1, R2)), P2))), V=d(E, C4), D4=d(E, d(d(A, d(d(2, d(1, d(B, T2))), U2)), d(Q, X))), S2=d(E, B4), E4=d(E, d(d(A, d(d(2, d(1, P3)), d(B, F4))), d(d(2, d(1, d(B, d(E, F4)))), W2))), R=d(E, d(d(A, d(d(2, d(1, d(B, G4))), I3)), d(Y, d(B, d(E, G4))))), Z=d(E, J3), O2=d(E, L3), H4=d(E, N3), V2=d(E, O3), I4=d(E, d(d(A, d(B1, d(d(A, d(O1, S3)), d(G1, B3)))), d(B1, d(d(A, d(d(2, d(1, Q3)), S3)), d(G1, Y2))))), F3=d(E, T3), H3=d(E, T1), J4=d(d(A, C2), C2), F4=d(d(A, d(d(2, d(1, d(B, U3))), R2)), d(d(2, d(1, d(B, d(E, S2)))), d(B, d(E, U3)))), K4=d(d(A, d(O, d(B, Y3))), d(d(2, d(1, d(B, d(E, Y3)))), M2)), L4=d(d(A, d(O, d(B, M4))), d(d(2, d(1, d(B, d(E, M4)))), M2)), N4=d(d(A, d(O, d(B, O4))), d(d(2, d(1, d(B, d(E, O4)))), M2)), P4=d(d(A, d(S, d(B, Q4))), d(d(2, d(1, d(B, d(E, Q4)))), d(B, d(E, T)))), R4=d(d(A, d(d(2, d(1, d(B, A4))), L2)), d(O, d(B, d(E, A4)))), S4=d(d(A, d(U, d(B, L4))), d(d(2, d(1, d(B, d(E, L4)))), d(B, d(E, V)))), J1=d(d(A, d(d(2, d(1, d(B, D4))), D1)), d(d(2, d(1, d(B, d(E, V2)))), d(B, d(E, D4)))), Z3=d(d(A, d(d(2, d(1, d(B, E4))), U2)), d(Q, d(B, d(E, E4)))), T4=d(d(A, d(A1, d(B, U4))), d(d(2, d(1, d(B, d(E, U4)))), N2)), V4=d(d(A, d(A1, d(B, W4))), d(d(2, d(1, d(B, d(E, W4)))), N2)), X4=d(d(A, d(d(2, d(1, d(B, I4))), M3)), d(d(2, d(1, d(B, H4))), d(B, d(E, I4)))), Y4=d(d(A, d(d(2, d(1, d(B, K4))), L2)), d(O, d(B, d(E, K4)))), D=d(d(A, d(d(2, d(1, d(B, P4))), d(B, X3))), d(S, d(B, d(E, P4)))), X3=d(d(A, d(d(2, d(1, d(B, R4))), K2)), d(N, d(B, d(E, R4)))), C=d(d(A, d(d(2, d(1, d(B, S4))), d(B, C4))), d(U, d(B, d(E, S4)))), C4=d(d(A, d(d(2, d(1, d(B, Y4))), K2)), d(N, d(B, d(E, Y4)))), Z4=d(d(A, d(d(2, d(1, d(B, A5))), L1)), d(C1, d(B, d(E, A5)))), B4=d(d(A, d(d(2, d(1, d(B, B5))), L1)), d(C1, d(B, d(E, B5)))), Q4=d(d(A, d(d(2, d(1, d(B, C5))), L1)), d(C1, d(B, d(E, C5)))), T2=d(d(A, d(K1, d(B, X4))), d(d(2, d(1, d(B, d(E, X4)))), D1)), A5=d(d(A, d(K1, d(B, D5))), d(d(2, d(1, d(B, d(E, D5)))), D1)), B5=d(d(A, d(K1, P3)), d(d(2, d(1, W2)), D1)), C5=d(d(A, d(K1, d(B, E5))), d(d(2, d(1, d(B, d(E, E5)))), D1)), F5=d(d(A, d(d(2, d(1, d(B, G5))), I3)), d(Y, d(B, d(E, G5)))), M4=d(d(A, d(d(2, d(1, d(B, H5))), L2)), d(O, d(B, d(E, H5)))), O4=d(d(A, d(d(2, d(1, d(B, I5))), L2)), d(O, d(B, d(E, I5)))), J3=d(d(A, J), F2), L3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, G2)))))))), V1))), d(G, M))))), V1)), C2)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(U1, d(F, d(d(2, d(1, d(2, d(L, D2)))), V1)))))), d(U1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G2))), D2)))), V1))))), N3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, J5))))))), V1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(K1, J5))))), V1)))), V1)))))), V1)), C2)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, C2))))))), V1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(K1, C2))))), V1)))), V1)))))), V1)), C2)), O3=d(d(A, E), E), D5=d(d(A, d(B1, d(d(A, d(d(2, d(1, d(B, K5))), S3)), d(G1, d(B, d(E, K5)))))), d(B1, d(d(A, d(d(2, d(1, d(B, L5))), S3)), d(G1, d(B, d(E, L5)))))), M5=d(d(A, d(B1, d(d(A, d(d(2, d(1, d(B, N5))), S3)), d(G1, d(B, d(E, N5)))))), d(B1, d(d(A, d(d(2, d(1, d(B, O5))), S3)), d(G1, d(B, d(E, O5)))))), X2=d(d(A, d(B1, d(d(A, d(d(2, d(1, d(B, P5))), S3)), d(G1, d(B, d(E, P5)))))), d(B1, d(d(A, d(d(2, d(1, d(B, Q5))), S3)), d(G1, d(B, d(E, Q5)))))), E5=d(d(A, d(B1, d(d(A, d(d(2, d(1, R3)), S3)), d(G1, F1)))), d(B1, d(d(A, d(M1, S3)), d(G1, A3)))), U4=d(d(A, d(B1, d(d(A, d(d(2, d(1, d(B, R5))), S3)), d(G1, d(B, d(E, R5)))))), d(B1, d(d(A, d(d(2, d(1, d(B, S5))), S3)), d(G1, d(B, d(E, S5)))))), W4=d(d(A, d(B1, d(d(A, d(d(2, d(1, d(B, T5))), S3)), d(G1, d(B, d(E, T5)))))), d(B1, d(d(A, d(d(2, d(1, d(B, U5))), S3)), d(G1, d(B, d(E, U5)))))), V5=d(B1, d(d(A, d(d(2, d(1, d(B, W5))), R1)), d(d(2, d(1, E3)), d(B, d(E, W5))))), J5=d(B1, d(d(A, d(O1, d(B, X5))), d(d(2, d(1, d(B, d(E, X5)))), B3))), L5=d(K3, d(1, d(E, J4))), O5=d(K3, d(1, d(E, N4))), Y5=d(K3, d(1, Q2)), Q5=d(K3, d(1, d(E, F5))), Z2=d(K3, d(1, Z)), W5=d(K3, d(1, H4)), N1=d(K3, d(1, V2)), S5=d(K3, d(1, F3)), U5=d(K3, d(1, H3)), K5=d(K3, d(1, J4)), N5=d(K3, d(1, N4)), P5=d(K3, d(1, F5)), P1=d(K3, d(1, J3)), C3=d(K3, d(1, O3)), R5=d(K3, d(1, T3)), T5=d(K3, d(1, T1)), D3=d(K3, C2), Z5=d(K3, d(K1, d(W, d(K1, J2)))), A6=d(K3, d(K1, d(W, d(K1, V5)))), V3=d(K3, d(K1, d(B1, d(d(A, d(M1, d(B, B6))), d(d(2, d(1, d(B, d(E, B6)))), A3))))), W3=d(K3, d(K1, d(B1, d(d(A, d(d(2, d(1, d(B, C6))), d(B, Y5))), d(d(2, d(1, d(B, d(E, Y5)))), d(B, d(E, C6))))))), T3=d(K3, J2), D6=d(K3, d(B1, d(d(A, d(d(2, d(1, d(B, T4))), K3)), d(A1, d(B, d(E, T4)))))), E6=d(K3, d(B1, d(d(A, d(d(2, d(1, d(B, V4))), K3)), d(A1, d(B, d(E, V4)))))), T1=d(K3, V5), C6=d(K3, d(B1, d(d(A, d(M1, d(B, F6))), d(d(2, d(1, d(B, d(E, F6)))), A3)))), X5=d(K3, d(B1, d(d(A, d(d(2, d(1, S3)), Q3)), d(d(2, d(1, Y2)), H1)))), B6=d(K3, d(B1, d(d(A, d(d(2, d(1, d(B, D6))), R3)), d(E1, d(B, d(E, D6)))))), F6=d(K3, d(B1, d(d(A, d(d(2, d(1, d(B, E6))), R3)), d(E1, d(B, d(E, E6)))))), G5=d(M3, P), G4=d(M3, d(E, d(I2, d(d(2, d(1, d(K1, d(B1, d(d(A, d(Q1, d(B, Z5))), d(d(2, d(1, d(B, d(E, Z5)))), E3)))))), d(3, d(X1, d(K1, d(B1, d(d(A, d(S1, d(B, A6))), d(d(2, d(1, d(B, d(E, A6)))), G3)))))))))), H5=d(M3, d(d(A, d(d(2, d(1, d(B, Z4))), d(B, M5))), d(d(2, d(1, d(B, d(E, M5)))), d(B, d(E, Z4))))), I5=d(M3, O3)]).
mm_proof(hadnot, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, A))), L=d(2, d(1, d(2, B))), M=d(2, d(1, B)), N=d(2, d(1, O)), P=d(2, d(1, d(B, Q))), R=d(2, d(1, S)), T=d(2, d(1, U)), V=d(2, d(1, W)), X=d(2, d(1, d(B, Y))), Z=d(2, d(1, d(B, A1))), B1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, C1))))), d(1, D1)))), E1=d(2, d(H, F1)), G1=d(3, d(E1, H1)), I1=d(3, d(E1, d(d(2, d(1, d(2, d(H, d(I, F1))))), C1))), J1=d(d(2, 1), 1), K1=d(F, 1), C1=d(F, J1), L1=d(F, M1), H1=d(H, C1), A=d(d(2, d(1, d(2, d(1, d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D1))), L1)))), C1))), D1=d(d(2, d(1, d(2, J1))), C1), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J1)))), L1)))), C1), B=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, I1)), d(B, d(d(3, d(3, d(1, O1))), O1))), M1=d(d(2, d(1, P1)), H1), P1=d(d(2, d(H, d(d(2, d(1, d(2, H1))), J1))), J1), J=d(E1, J1), Q1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(L, C1)))))), C1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, K1)))), C1))), 1)))), C1))))), C1)), J1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, B))))), C1))), N1)))), C1)), J1), R1=d(B, d(E, S1)), O=d(B, d(E, T1)), U1=d(B, S1), V1=d(B, d(E, W1)), S=d(B, X1), Y1=d(B, d(E, Z1)), A2=d(B, d(E, Y)), B2=d(B, d(E, A1)), U=d(B, d(E, C2)), D2=d(B, d(E, E2)), F2=d(B, G2), H2=d(B, W1), I2=d(B, J2), W=d(B, K2), L2=d(B, Z1), M2=d(B, C2), N2=d(B, E2), O1=d(P1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1)))), C1))), J1))), d(3, d(E1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(K, L1)))), C1)))))), C1)))))), L1)))), C1))), J1))))), O2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P2=d(E, d(d(A, d(d(2, d(1, d(B, Q2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, Q2))))), R2=d(E, d(d(A, d(d(2, d(1, d(B, S2))), d(B, T2))), d(d(2, d(1, d(B, d(E, T2)))), d(B, d(E, S2))))), U2=d(E, d(d(A, d(d(2, d(1, d(B, T1))), U1)), d(d(2, d(1, R1)), O))), S1=d(E, d(d(A, d(d(2, d(1, d(B, V2))), F2)), d(P, d(B, d(E, V2))))), Q=d(E, G2), W2=d(E, J2), X1=d(E, K2), X2=d(E, d(d(A, d(V1, d(d(A, d(Z, M2)), d(T, B2)))), d(V1, d(d(A, d(d(2, d(1, L2)), M2)), d(T, Y1))))), Y2=d(E, d(I2, P2)), C=d(d(A, d(d(2, d(1, d(B, P2))), d(B, Z2))), d(d(2, d(1, d(B, d(E, Z2)))), d(B, d(E, P2)))), Q2=d(d(A, d(d(2, d(1, d(B, R2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, O2))), d(B, d(E, R2)))), S2=d(d(A, d(d(2, d(1, d(B, U2))), S)), d(d(2, d(1, d(B, d(E, X1)))), d(B, d(E, U2)))), D=d(d(A, d(d(2, d(1, U1)), d(B, Y2))), d(d(2, d(1, d(B, d(E, Y2)))), R1)), A3=d(d(A, d(d(2, d(1, d(B, X2))), I2)), d(d(2, d(1, d(B, W2))), d(B, d(E, X2)))), T2=d(d(A, d(d(2, d(1, d(B, B3))), W)), d(R, d(B, d(E, B3)))), Z2=d(d(A, d(d(2, d(1, d(B, C3))), W)), d(R, d(B, d(E, C3)))), T1=d(d(A, d(V, d(B, A3))), d(d(2, d(1, d(B, d(E, A3)))), S)), B3=d(d(A, d(V, d(B, D3))), d(d(2, d(1, d(B, d(E, D3)))), S)), C3=d(d(A, d(V, d(B, E3))), d(d(2, d(1, d(B, d(E, E3)))), S)), F3=d(d(A, d(d(2, d(1, d(B, G3))), F2)), d(P, d(B, d(E, G3)))), G2=d(d(A, J), M1), W1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(G, d(2, d(1, N1)))))))), C1))), d(G, M))))), C1)), J1)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(B1, d(F, d(d(2, d(1, d(2, d(L, K1)))), C1)))))), d(B1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N1))), K1)))), C1))))), J2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, H3))))))), C1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(V, H3))))), C1)))), C1)))))), C1)), J1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(K, d(F, d(H, d(M, J1))))))), C1))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(V, J1))))), C1)))), C1)))))), C1)), J1)), K2=d(d(A, E), E), D3=d(d(A, d(V1, d(d(A, d(d(2, d(1, d(B, I3))), M2)), d(T, d(B, d(E, I3)))))), d(V1, d(d(A, d(d(2, d(1, d(B, J3))), M2)), d(T, d(B, d(E, J3)))))), E3=d(d(A, d(V1, d(d(A, d(d(2, d(1, d(B, K3))), M2)), d(T, d(B, d(E, K3)))))), d(V1, d(d(A, d(X, M2)), d(T, A2)))), L3=d(V1, d(d(A, d(X, N2)), d(d(2, d(1, D2)), A2))), H3=d(V1, d(d(A, d(Z, d(B, M3))), d(d(2, d(1, d(B, d(E, M3)))), B2))), J3=d(H2, d(1, d(E, F3))), Z1=d(H2, d(1, Q)), Y=d(H2, d(1, W2)), I3=d(H2, d(1, F3)), A1=d(H2, d(1, G2)), K3=d(H2, d(1, J2)), C2=d(H2, J1), N3=d(H2, d(V, d(N, d(V, Q1)))), O3=d(H2, d(V, d(N, d(V, L3)))), E2=d(H2, Q1), P3=d(H2, L3), M3=d(H2, d(V1, d(d(A, d(d(2, d(1, M2)), L2)), d(d(2, d(1, Y1)), U)))), G3=d(I2, O2), V2=d(I2, d(E, d(P1, d(d(2, d(1, d(V, d(V1, d(d(A, d(d(2, d(1, N2)), d(B, N3))), d(d(2, d(1, d(B, d(E, N3)))), D2)))))), d(3, d(E1, d(V, d(V1, d(d(A, d(d(2, d(1, d(B, P3))), d(B, O3))), d(d(2, d(1, d(B, d(E, O3)))), d(B, d(E, P3))))))))))))]).
mm_proof(had1, d(A, d(B, d(C, d(d(D, d(d(2, d(1, E)), d(A, F))), d(d(2, d(1, d(A, d(B, F)))), G)))))-[H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, D))), N=d(2, d(1, d(2, A))), O=d(2, d(1, A)), P=d(2, d(1, d(A, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Q=d(2, d(1, d(A, R))), S=d(2, d(1, d(A, d(B, T)))), U=d(2, d(1, G)), V=d(2, d(1, d(A, W))), X=d(2, d(1, Y)), Z=d(2, d(1, d(A, A1))), B1=d(2, d(1, C1)), D1=d(2, d(1, E1)), F1=d(2, d(1, G1)), H1=d(2, d(1, I1)), J1=d(2, d(1, d(A, K1))), L1=d(2, d(1, M1)), N1=d(2, d(1, d(A, O1))), P1=d(2, d(1, d(A, Q1))), R1=d(2, d(1, S1)), T1=d(2, d(1, d(A, U1))), V1=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, W1))))), d(1, X1)))), Y1=d(2, d(J, Z1)), A2=d(3, d(Y1, B2)), C2=d(3, d(Y1, d(d(2, d(1, d(2, d(J, d(K, Z1))))), W1))), D2=d(d(2, 1), 1), E2=d(H, 1), W1=d(H, D2), F2=d(H, G2), B2=d(J, W1), D=d(d(2, d(1, d(2, d(1, d(C2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X1))), F2)))), W1))), X1=d(d(2, d(1, d(2, D2))), W1), Z1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, D2)))), F2)))), W1), A=d(d(2, d(1, A2)), d(A2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H2=d(d(2, d(1, C2)), d(A, d(d(3, d(3, d(1, I2))), I2))), G2=d(d(2, d(1, J2)), B2), J2=d(d(2, d(J, d(d(2, d(1, d(2, B2))), D2))), D2), L=d(Y1, D2), K2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(N, W1)))))), W1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, E2)))), W1))), 1)))), W1))))), W1)), D2), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, A))))), W1))), H2)))), W1)), D2), L2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(A, d(B, N2)), O2=d(A, d(B, R)), P2=d(A, d(B, Q2)), R2=d(A, S2), G=d(A, T2), U2=d(A, V2), Y=d(A, d(B, W2)), X2=d(A, T), C1=d(A, Q2), E1=d(A, Y2), Z2=d(A, d(B, A3)), B3=d(A, d(B, C3)), D3=d(A, d(B, O1)), E3=d(A, d(B, Q1)), G1=d(A, d(B, F3)), I1=d(A, d(B, G3)), H3=d(A, I3), J3=d(A, K3), E=d(A, L3), M3=d(A, N3), O3=d(A, P3), Q3=d(A, R3), M1=d(A, S3), T3=d(A, A3), U3=d(A, C3), V3=d(A, F3), W3=d(A, G3), S1=d(A, X3), I2=d(J2, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F2)))), W1))), D2))), d(3, d(Y1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, F2)))), W1)))))), W1)))))), F2)))), W1))), D2))))), N2=d(J2, d(d(2, d(1, d(C1, d(d(D, d(R1, d(A, Y3))), d(d(2, d(1, d(A, d(B, Y3)))), H3))))), d(3, d(Y1, d(C1, d(d(D, d(T1, d(A, Z3))), d(d(2, d(1, d(A, d(B, Z3)))), J3))))))), R=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S2=d(B, K1), T2=d(B, L3), A4=d(B, d(d(D, d(J1, d(A, B4))), d(d(2, d(1, d(A, d(B, B4)))), R2))), C4=d(B, d(d(D, d(J1, d(A, D4))), d(d(2, d(1, U2)), R2))), W=d(B, E4), F4=d(B, d(d(D, d(d(2, d(1, d(A, W2))), X2)), d(S, Y))), V2=d(B, D4), G4=d(B, d(d(D, d(d(2, d(1, T3)), d(A, H4))), d(d(2, d(1, d(A, d(B, H4)))), Z2))), T=d(B, d(d(D, d(d(2, d(1, d(A, I4))), M3)), d(Z, d(A, d(B, I4))))), A1=d(B, N3), Q2=d(B, P3), J4=d(B, R3), Y2=d(B, S3), K4=d(B, d(d(D, d(C1, d(d(D, d(P1, W3)), d(H1, E3)))), d(C1, d(d(D, d(d(2, d(1, U3)), W3)), d(H1, B3))))), I3=d(B, X3), K3=d(B, U1), L4=d(d(D, D2), D2), H4=d(d(D, d(d(2, d(1, d(A, N2))), U2)), d(d(2, d(1, d(A, d(B, V2)))), C)), M4=d(d(D, d(Q, d(A, A4))), d(d(2, d(1, d(A, d(B, A4)))), O2)), N4=d(d(D, d(Q, d(A, O4))), d(d(2, d(1, d(A, d(B, O4)))), O2)), P4=d(d(D, d(Q, d(A, Q4))), d(d(2, d(1, d(A, d(B, Q4)))), O2)), R4=d(d(D, d(U, d(A, S4))), d(d(2, d(1, d(A, d(B, S4)))), d(A, d(B, T2)))), T4=d(d(D, d(d(2, d(1, d(A, C4))), M2)), d(Q, d(A, d(B, C4)))), U4=d(d(D, d(V, d(A, N4))), d(d(2, d(1, d(A, d(B, N4)))), d(A, d(B, W)))), K1=d(d(D, d(d(2, d(1, d(A, F4))), E1)), d(d(2, d(1, d(A, d(B, Y2)))), d(A, d(B, F4)))), B4=d(d(D, d(d(2, d(1, d(A, G4))), X2)), d(S, d(A, d(B, G4)))), V4=d(d(D, d(B1, d(A, W4))), d(d(2, d(1, d(A, d(B, W4)))), P2)), X4=d(d(D, d(B1, d(A, Y4))), d(d(2, d(1, d(A, d(B, Y4)))), P2)), Z4=d(d(D, d(d(2, d(1, d(A, K4))), Q3)), d(d(2, d(1, d(A, J4))), d(A, d(B, K4)))), A5=d(d(D, d(d(2, d(1, d(A, M4))), M2)), d(Q, d(A, d(B, M4)))), B5=d(d(D, d(d(2, d(1, d(A, R4))), E)), d(U, d(A, d(B, R4)))), L3=d(d(D, d(d(2, d(1, d(A, T4))), L2)), d(P, d(A, d(B, T4)))), C5=d(d(D, d(d(2, d(1, d(A, U4))), d(A, E4))), d(V, d(A, d(B, U4)))), E4=d(d(D, d(d(2, d(1, d(A, A5))), L2)), d(P, d(A, d(B, A5)))), F=d(d(D, d(d(2, d(1, d(A, C5))), d(A, B5))), d(d(2, d(1, d(A, d(B, B5)))), d(A, d(B, C5)))), D5=d(d(D, d(d(2, d(1, d(A, E5))), M1)), d(D1, d(A, d(B, E5)))), D4=d(d(D, d(d(2, d(1, d(A, F5))), M1)), d(D1, d(A, d(B, F5)))), S4=d(d(D, d(d(2, d(1, d(A, G5))), M1)), d(D1, d(A, d(B, G5)))), W2=d(d(D, d(L1, d(A, Z4))), d(d(2, d(1, d(A, d(B, Z4)))), E1)), E5=d(d(D, d(L1, d(A, H5))), d(d(2, d(1, d(A, d(B, H5)))), E1)), F5=d(d(D, d(L1, T3)), d(d(2, d(1, Z2)), E1)), G5=d(d(D, d(L1, d(A, I5))), d(d(2, d(1, d(A, d(B, I5)))), E1)), J5=d(d(D, d(d(2, d(1, d(A, K5))), M3)), d(Z, d(A, d(B, K5)))), O4=d(d(D, d(d(2, d(1, d(A, L5))), M2)), d(Q, d(A, d(B, L5)))), Q4=d(d(D, d(d(2, d(1, d(A, M5))), M2)), d(Q, d(A, d(B, M5)))), N3=d(d(D, L), G2), P3=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(I, d(2, d(1, H2)))))))), W1))), d(I, O))))), W1)), D2)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, D)))), d(V1, d(H, d(d(2, d(1, d(2, d(N, E2)))), W1)))))), d(V1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H2))), E2)))), W1))))), R3=d(d(D, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(O, N5))))))), W1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(L1, N5))))), W1)))), W1)))))), W1)), D2)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(J, d(O, D2))))))), W1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(L1, D2))))), W1)))), W1)))))), W1)), D2)), S3=d(d(D, B), B), H5=d(d(D, d(C1, d(d(D, d(d(2, d(1, d(A, O5))), W3)), d(H1, d(A, d(B, O5)))))), d(C1, d(d(D, d(d(2, d(1, d(A, P5))), W3)), d(H1, d(A, d(B, P5)))))), Q5=d(d(D, d(C1, d(d(D, d(d(2, d(1, d(A, R5))), W3)), d(H1, d(A, d(B, R5)))))), d(C1, d(d(D, d(d(2, d(1, d(A, S5))), W3)), d(H1, d(A, d(B, S5)))))), A3=d(d(D, d(C1, d(d(D, d(d(2, d(1, d(A, T5))), W3)), d(H1, d(A, d(B, T5)))))), d(C1, d(d(D, d(d(2, d(1, d(A, U5))), W3)), d(H1, d(A, d(B, U5)))))), I5=d(d(D, d(C1, d(d(D, d(d(2, d(1, V3)), W3)), d(H1, G1)))), d(C1, d(d(D, d(N1, W3)), d(H1, D3)))), W4=d(d(D, d(C1, d(d(D, d(d(2, d(1, d(A, V5))), W3)), d(H1, d(A, d(B, V5)))))), d(C1, d(d(D, d(d(2, d(1, d(A, W5))), W3)), d(H1, d(A, d(B, W5)))))), Y4=d(d(D, d(C1, d(d(D, d(d(2, d(1, d(A, X5))), W3)), d(H1, d(A, d(B, X5)))))), d(C1, d(d(D, d(d(2, d(1, d(A, Y5))), W3)), d(H1, d(A, d(B, Y5)))))), Z5=d(C1, d(d(D, d(d(2, d(1, d(A, A6))), S1)), d(d(2, d(1, H3)), d(A, d(B, A6))))), N5=d(C1, d(d(D, d(P1, d(A, B6))), d(d(2, d(1, d(A, d(B, B6)))), E3))), P5=d(O3, d(1, d(B, L4))), S5=d(O3, d(1, d(B, P4))), C6=d(O3, d(1, S2)), U5=d(O3, d(1, d(B, J5))), C3=d(O3, d(1, A1)), A6=d(O3, d(1, J4)), O1=d(O3, d(1, Y2)), W5=d(O3, d(1, I3)), Y5=d(O3, d(1, K3)), O5=d(O3, d(1, L4)), R5=d(O3, d(1, P4)), T5=d(O3, d(1, J5)), Q1=d(O3, d(1, N3)), F3=d(O3, d(1, S3)), V5=d(O3, d(1, X3)), X5=d(O3, d(1, U1)), G3=d(O3, D2), D6=d(O3, d(L1, d(X, d(L1, K2)))), E6=d(O3, d(L1, d(X, d(L1, Z5)))), Y3=d(O3, d(L1, d(C1, d(d(D, d(N1, d(A, F6))), d(d(2, d(1, d(A, d(B, F6)))), D3))))), Z3=d(O3, d(L1, d(C1, d(d(D, d(d(2, d(1, d(A, G6))), d(A, C6))), d(d(2, d(1, d(A, d(B, C6)))), d(A, d(B, G6))))))), X3=d(O3, K2), H6=d(O3, d(C1, d(d(D, d(d(2, d(1, d(A, V4))), O3)), d(B1, d(A, d(B, V4)))))), I6=d(O3, d(C1, d(d(D, d(d(2, d(1, d(A, X4))), O3)), d(B1, d(A, d(B, X4)))))), U1=d(O3, Z5), G6=d(O3, d(C1, d(d(D, d(N1, d(A, J6))), d(d(2, d(1, d(A, d(B, J6)))), D3)))), B6=d(O3, d(C1, d(d(D, d(d(2, d(1, W3)), U3)), d(d(2, d(1, B3)), I1)))), F6=d(O3, d(C1, d(d(D, d(d(2, d(1, d(A, H6))), V3)), d(F1, d(A, d(B, H6)))))), J6=d(O3, d(C1, d(d(D, d(d(2, d(1, d(A, I6))), V3)), d(F1, d(A, d(B, I6)))))), K5=d(Q3, R), I4=d(Q3, d(B, d(J2, d(d(2, d(1, d(L1, d(C1, d(d(D, d(R1, d(A, D6))), d(d(2, d(1, d(A, d(B, D6)))), H3)))))), d(3, d(Y1, d(L1, d(C1, d(d(D, d(T1, d(A, E6))), d(d(2, d(1, d(A, d(B, E6)))), J3)))))))))), L5=d(Q3, d(d(D, d(d(2, d(1, d(A, D5))), d(A, Q5))), d(d(2, d(1, d(A, d(B, Q5)))), d(A, d(B, D5))))), M5=d(Q3, S3)]).
mm_proof(had0, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(C, d(D, E))))))), F))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(G, E))))), F)))), F)))))), F)), H)-[B=d(2, d(1, 1)), I=d(2, d(1, 2)), C=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), A=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, N))), D=d(2, d(1, N)), O=d(2, d(1, d(N, d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), Q=d(2, d(1, d(N, R))), S=d(2, d(1, T)), U=d(2, d(1, V)), W=d(2, d(1, d(N, X))), Y=d(2, d(1, Z)), A1=d(2, d(1, d(N, B1))), C1=d(2, d(1, D1)), E1=d(2, d(1, F1)), G1=d(2, d(1, H1)), I1=d(2, d(1, J1)), K1=d(2, d(1, d(N, L1))), G=d(2, d(1, M1)), N1=d(2, d(1, d(N, O1))), P1=d(2, d(1, d(N, Q1))), R1=d(2, d(1, d(N, S1))), T1=d(2, d(1, U1)), V1=d(2, d(1, d(N, W1))), X1=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, F))))), d(1, Y1)))), Z1=d(2, d(C, A2)), B2=d(3, d(Z1, C2)), D2=d(3, d(Z1, d(d(2, d(1, d(2, d(C, d(J, A2))))), F))), H=d(d(2, 1), 1), E2=d(B, 1), F=d(B, H), F2=d(B, G2), C2=d(C, F), L=d(d(2, d(1, d(2, d(1, d(D2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y1))), F2)))), F))), Y1=d(d(2, d(1, d(2, H))), F), A2=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, H)))), F2)))), F), N=d(d(2, d(1, B2)), d(B2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H2=d(d(2, d(1, D2)), d(N, d(d(3, d(3, d(1, I2))), I2))), G2=d(d(2, d(1, J2)), C2), J2=d(d(2, d(C, d(d(2, d(1, d(2, C2))), H))), H), K=d(Z1, H), K2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(M, F)))))), F))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, E2)))), F))), 1)))), F))))), F)), H), P=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, N))))), F))), H2)))), F)), H), L2=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N2=d(N, d(P, O2)), P2=d(N, d(P, R)), Q2=d(N, d(P, R2)), T=d(N, d(P, S2)), T2=d(N, d(P, U2)), V2=d(N, W2), V=d(N, R2), X2=d(N, Y2), Z=d(N, d(P, Z2)), A3=d(N, S2), D1=d(N, U2), B3=d(N, C3), F1=d(N, D3), E3=d(N, d(P, F3)), G3=d(N, d(P, H3)), I3=d(N, d(P, O1)), J3=d(N, d(P, Q1)), K3=d(N, d(P, S1)), H1=d(N, d(P, L3)), J1=d(N, d(P, M3)), N3=d(N, O3), P3=d(N, Q3), R3=d(N, S3), T3=d(N, U3), V3=d(N, W3), X3=d(N, Y3), M1=d(N, Z3), A4=d(N, F3), B4=d(N, H3), C4=d(N, L3), D4=d(N, M3), U1=d(N, E4), I2=d(J2, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F2)))), F))), H))), d(3, d(Z1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z1, d(d(2, d(1, d(2, d(C, d(J, d(d(2, d(1, d(2, d(A, F2)))), F)))))), F)))))), F2)))), F))), H))))), O2=d(J2, d(d(2, d(1, d(D1, d(d(L, d(T1, d(N, F4))), d(d(2, d(1, d(N, d(P, F4)))), N3))))), d(3, d(Z1, d(D1, d(d(L, d(V1, d(N, G4))), d(d(2, d(1, d(N, d(P, G4)))), P3))))))), R=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W2=d(P, L1), R2=d(P, S3), H4=d(P, d(d(L, d(K1, d(N, I4))), d(d(2, d(1, d(N, d(P, I4)))), V2))), J4=d(P, d(d(L, d(K1, d(N, K4))), d(d(2, d(1, X2)), V2))), X=d(P, L4), M4=d(P, d(d(L, d(d(2, d(1, d(N, Z2))), A3)), d(S, Z))), Y2=d(P, K4), N4=d(P, d(d(L, d(d(2, d(1, A4)), d(N, O4))), d(d(2, d(1, d(N, d(P, O4)))), E3))), P4=d(P, Q4), S2=d(P, d(d(L, d(d(2, d(1, d(N, R4))), T3)), d(A1, d(N, d(P, R4))))), B1=d(P, U3), U2=d(P, W3), C3=d(P, Y3), D3=d(P, Z3), S4=d(P, d(d(L, d(D1, d(d(L, d(R1, D4)), d(I1, K3)))), d(D1, d(d(L, d(d(2, d(1, B4)), D4)), d(I1, G3))))), O3=d(P, E4), Q3=d(P, W1), T4=d(P, d(X3, R2)), U4=d(d(L, H), H), O4=d(d(L, d(d(2, d(1, d(N, O2))), X2)), d(d(2, d(1, d(N, d(P, Y2)))), N2)), V4=d(d(L, d(Q, d(N, H4))), d(d(2, d(1, d(N, d(P, H4)))), P2)), W4=d(d(L, d(Q, d(N, X4))), d(d(2, d(1, d(N, d(P, X4)))), P2)), Y4=d(d(L, d(Q, d(N, Z4))), d(d(2, d(1, d(N, d(P, Z4)))), P2)), A5=d(d(L, d(U, d(N, B5))), d(d(2, d(1, d(N, d(P, B5)))), Q2)), C5=d(d(L, d(U, d(N, D5))), d(d(2, d(1, d(N, d(P, D5)))), Q2)), E5=d(d(L, d(d(2, d(1, d(N, J4))), M2)), d(Q, d(N, d(P, J4)))), F5=d(d(L, d(W, d(N, W4))), d(d(2, d(1, d(N, d(P, W4)))), d(N, d(P, X)))), L1=d(d(L, d(d(2, d(1, d(N, M4))), F1)), d(d(2, d(1, d(N, d(P, D3)))), d(N, d(P, M4)))), I4=d(d(L, d(d(2, d(1, d(N, N4))), A3)), d(S, d(N, d(P, N4)))), G5=d(d(L, d(d(2, d(1, A3)), d(N, T4))), d(d(2, d(1, d(N, d(P, T4)))), T)), H5=d(d(L, d(C1, d(N, I5))), d(d(2, d(1, d(N, d(P, I5)))), T2)), J5=d(d(L, d(C1, d(N, K5))), d(d(2, d(1, d(N, d(P, K5)))), T2)), L5=d(d(L, d(d(2, d(1, d(N, S4))), X3)), d(d(2, d(1, B3)), d(N, d(P, S4)))), M5=d(d(L, d(d(2, d(1, d(N, V4))), M2)), d(Q, d(N, d(P, V4)))), N5=d(d(L, d(d(2, d(1, d(N, C5))), R3)), d(U, d(N, d(P, C5)))), S3=d(d(L, d(d(2, d(1, d(N, E5))), L2)), d(O, d(N, d(P, E5)))), O5=d(d(L, d(d(2, d(1, d(N, F5))), d(N, L4))), d(W, d(N, d(P, F5)))), L4=d(d(L, d(d(2, d(1, d(N, M5))), L2)), d(O, d(N, d(P, M5)))), P5=d(d(L, d(d(2, d(1, d(N, O5))), d(N, N5))), d(d(2, d(1, d(N, d(P, N5)))), d(N, d(P, O5)))), Q5=d(d(L, d(d(2, d(1, d(N, R5))), M1)), d(E1, d(N, d(P, R5)))), K4=d(d(L, d(d(2, d(1, d(N, S5))), M1)), d(E1, d(N, d(P, S5)))), B5=d(d(L, d(d(2, d(1, d(N, T5))), M1)), d(E1, d(N, d(P, T5)))), D5=d(d(L, d(d(2, d(1, d(N, U5))), M1)), d(E1, d(N, d(P, U5)))), Z2=d(d(L, d(G, d(N, L5))), d(d(2, d(1, d(N, d(P, L5)))), F1)), R5=d(d(L, d(G, d(N, V5))), d(d(2, d(1, d(N, d(P, V5)))), F1)), S5=d(d(L, d(G, A4)), d(d(2, d(1, E3)), F1)), T5=d(d(L, d(G, d(N, W5))), d(d(2, d(1, d(N, d(P, W5)))), F1)), U5=d(d(L, d(G, d(N, X5))), d(d(2, d(1, d(N, d(P, X5)))), F1)), Q4=d(d(L, d(d(2, d(1, d(N, Y5))), T3)), d(A1, d(N, d(P, Y5)))), X4=d(d(L, d(d(2, d(1, d(N, Z5))), M2)), d(Q, d(N, d(P, Z5)))), Z4=d(d(L, d(d(2, d(1, d(N, A6))), M2)), d(Q, d(N, d(P, A6)))), U3=d(d(L, K), G2), W3=d(d(L, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(I, d(2, d(1, H2)))))))), F))), d(I, D))))), F)), H)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, L)))), d(X1, d(B, d(d(2, d(1, d(2, d(M, E2)))), F)))))), d(X1, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H2))), E2)))), F))))), Y3=d(d(L, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(C, d(D, B6))))))), F))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(G, B6))))), F)))), F)))))), F)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A, d(B, d(C, d(D, H))))))), F))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D, d(G, H))))), F)))), F)))))), F)), H)), Z3=d(d(L, P), P), V5=d(d(L, d(D1, d(d(L, d(d(2, d(1, d(N, C6))), D4)), d(I1, d(N, d(P, C6)))))), d(D1, d(d(L, d(d(2, d(1, d(N, D6))), D4)), d(I1, d(N, d(P, D6)))))), E6=d(d(L, d(D1, d(d(L, d(d(2, d(1, d(N, F6))), D4)), d(I1, d(N, d(P, F6)))))), d(D1, d(d(L, d(d(2, d(1, d(N, G6))), D4)), d(I1, d(N, d(P, G6)))))), F3=d(d(L, d(D1, d(d(L, d(d(2, d(1, d(N, H6))), D4)), d(I1, d(N, d(P, H6)))))), d(D1, d(d(L, d(d(2, d(1, d(N, I6))), D4)), d(I1, d(N, d(P, I6)))))), W5=d(d(L, d(D1, d(d(L, d(d(2, d(1, d(N, J6))), D4)), d(I1, d(N, d(P, J6)))))), d(D1, d(d(L, d(N1, D4)), d(I1, I3)))), X5=d(d(L, d(D1, d(d(L, d(d(2, d(1, C4)), D4)), d(I1, H1)))), d(D1, d(d(L, d(P1, D4)), d(I1, J3)))), I5=d(d(L, d(D1, d(d(L, d(d(2, d(1, d(N, K6))), D4)), d(I1, d(N, d(P, K6)))))), d(D1, d(d(L, d(d(2, d(1, d(N, L6))), D4)), d(I1, d(N, d(P, L6)))))), K5=d(d(L, d(D1, d(d(L, d(d(2, d(1, d(N, M6))), D4)), d(I1, d(N, d(P, M6)))))), d(D1, d(d(L, d(d(2, d(1, d(N, N6))), D4)), d(I1, d(N, d(P, N6)))))), E=d(D1, d(d(L, d(d(2, d(1, d(N, O6))), d(N, P6))), d(d(2, d(1, d(N, d(P, P6)))), d(N, d(P, O6))))), Q6=d(D1, d(d(L, d(N1, U1)), d(d(2, d(1, N3)), I3))), B6=d(D1, d(d(L, d(R1, d(N, R6))), d(d(2, d(1, d(N, d(P, R6)))), K3))), D6=d(V3, d(1, d(P, U4))), G6=d(V3, d(1, d(P, Y4))), S6=d(V3, d(1, W2)), O6=d(V3, d(1, d(P, d(d(L, d(d(2, d(1, X3)), d(N, P4))), d(d(2, d(1, d(N, d(P, P4)))), B3))))), I6=d(V3, d(1, P4)), H3=d(V3, d(1, B1)), O1=d(V3, d(1, C3)), Q1=d(V3, d(1, D3)), L6=d(V3, d(1, O3)), N6=d(V3, d(1, Q3)), C6=d(V3, d(1, U4)), F6=d(V3, d(1, Y4)), T6=d(V3, d(1, d(d(L, d(d(2, d(1, d(N, A5))), d(N, G5))), d(d(2, d(1, d(N, d(P, G5)))), d(N, d(P, A5)))))), H6=d(V3, d(1, Q4)), S1=d(V3, d(1, U3)), J6=d(V3, d(1, Y3)), L3=d(V3, d(1, Z3)), K6=d(V3, d(1, E4)), M6=d(V3, d(1, W1)), M3=d(V3, H), U6=d(V3, d(G, d(Y, d(G, K2)))), V6=d(V3, d(G, d(Y, d(G, Q6)))), F4=d(V3, d(G, d(D1, d(d(L, d(P1, d(N, W6))), d(d(2, d(1, d(N, d(P, W6)))), J3))))), G4=d(V3, d(G, d(D1, d(d(L, d(d(2, d(1, d(N, X6))), d(N, S6))), d(d(2, d(1, d(N, d(P, S6)))), d(N, d(P, X6))))))), E4=d(V3, K2), Y6=d(V3, d(N, d(P, d(N2, d(d(L, d(d(2, d(1, R3)), d(N, P5))), d(d(2, d(1, d(N, d(P, P5)))), V)))))), Z6=d(V3, d(D1, d(d(L, d(d(2, d(1, d(N, H5))), V3)), d(C1, d(N, d(P, H5)))))), A7=d(V3, d(D1, d(d(L, d(d(2, d(1, d(N, J5))), V3)), d(C1, d(N, d(P, J5)))))), W1=d(V3, Q6), X6=d(V3, d(D1, d(d(L, d(P1, d(N, B7))), d(d(2, d(1, d(N, d(P, B7)))), J3)))), R6=d(V3, d(D1, d(d(L, d(d(2, d(1, D4)), B4)), d(d(2, d(1, G3)), J1)))), P6=d(V3, d(D1, d(d(L, d(d(2, d(1, d(N, Y6))), d(N, T6))), d(d(2, d(1, d(N, d(P, T6)))), d(N, d(P, Y6)))))), W6=d(V3, d(D1, d(d(L, d(d(2, d(1, d(N, Z6))), C4)), d(G1, d(N, d(P, Z6)))))), B7=d(V3, d(D1, d(d(L, d(d(2, d(1, d(N, A7))), C4)), d(G1, d(N, d(P, A7)))))), Y5=d(X3, R), R4=d(X3, d(P, d(J2, d(d(2, d(1, d(G, d(D1, d(d(L, d(T1, d(N, U6))), d(d(2, d(1, d(N, d(P, U6)))), N3)))))), d(3, d(Z1, d(G, d(D1, d(d(L, d(V1, d(N, V6))), d(d(2, d(1, d(N, d(P, V6)))), P3)))))))))), Z5=d(X3, d(d(L, d(d(2, d(1, d(N, Q5))), d(N, E6))), d(d(2, d(1, d(N, d(P, E6)))), d(N, d(P, Q5))))), A6=d(X3, Z3)]).
mm_proof(hadifp, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, R)))), R)))), R)))), S)))), R)))))), R))))), T))), U))))), V)))), W=d(2, d(1, d(2, A))), Q=d(2, d(1, d(2, X))), Y=d(2, d(1, d(2, B))), Z=d(2, d(1, A1)), B1=d(2, d(1, B)), C1=d(2, d(1, D1)), E1=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), F1=d(2, d(1, G1)), H1=d(2, d(1, d(B, I1))), J1=d(2, d(1, K1)), L1=d(2, d(1, M1)), N1=d(2, d(1, O1)), P1=d(2, d(1, d(B, Q1))), R1=d(2, d(1, S1)), T1=d(2, d(1, d(B, d(E, U1)))), V1=d(2, d(1, W1)), X1=d(2, d(1, d(B, Y1))), Z1=d(2, d(1, A2)), B2=d(2, d(1, C2)), D2=d(2, d(1, d(B, d(E, E2)))), F2=d(2, d(1, G2)), H2=d(2, d(1, I2)), J2=d(2, d(1, d(B, K2))), L2=d(2, d(1, M2)), N2=d(2, d(1, O2)), P2=d(2, d(1, Q2)), R2=d(2, d(1, d(B, S2))), T2=d(2, d(1, d(B, U2))), V2=d(2, d(1, d(B, W2))), X2=d(2, d(1, Y2)), Z2=d(2, d(1, d(B, A3))), B3=d(2, d(I, d(H, d(1, d(C1, A1))))), C3=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, R))))), d(1, D3)))), P=d(2, d(J, E3)), F3=d(3, d(P, N)), G3=d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, E3))))), R))), A1=d(d(2, 1), 1), H3=d(H, 1), R=d(H, A1), S=d(H, I3), N=d(J, R), V=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D3))), S)))), R)), A=d(d(2, d(1, d(2, d(1, d(G3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V), D3=d(d(2, d(1, d(2, A1))), R), E3=d(d(2, d(1, d(2, d(d(2, d(1, Z)), S)))), R), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, U))))), V)))), R), B=d(d(2, d(1, F3)), d(F3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J3=d(d(2, d(1, G3)), d(B, d(d(3, d(3, d(1, K3))), K3))), L3=d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), S)))), R)))))), R))))), T), M3=d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(Q, S)))), R)))))), R))))), T), I3=d(d(2, d(1, N3)), N), G=d(F1, 1), D1=d(F1, d(M, R)), N3=d(d(2, d(J, d(M, A1))), A1), O3=d(d(2, d(J, d(M, d(d(2, d(I, d(H, F))), d(J, d(K, d(d(2, d(1, C1)), P3))))))), A1), L=d(P, A1), Q3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(H, d(Y, R)))))), R))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, H3)))), R))), 1)))), R))))), R)), A1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(H, B))))), R))), J3)))), R)), A1), T=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U=d(B, T3), G1=d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U3=d(B, d(E, V3)), W3=d(B, d(E, I1)), X3=d(B, d(E, Y3)), K1=d(B, d(E, Z3)), A4=d(B, d(E, B4)), M1=d(B, C4), D4=d(B, E4), O1=d(B, Y3), F4=d(B, G4), S1=d(B, d(E, H4)), I4=d(B, Z3), W1=d(B, d(E, J4)), A2=d(B, B4), K4=d(B, L4), C2=d(B, M4), N4=d(B, d(E, O4)), P4=d(B, d(E, d(U3, d(d(A, d(d(2, d(1, Q4)), d(B, R4))), d(d(2, d(1, d(B, d(E, R4)))), O1))))), S4=d(B, d(E, T4)), U4=d(B, d(E, S2)), V4=d(B, d(E, U2)), W4=d(B, d(E, W2)), X4=d(B, d(E, Y4)), G2=d(B, d(E, Z4)), I2=d(B, d(E, A5)), B5=d(B, C5), D5=d(B, E5), F5=d(B, G5), H5=d(B, d(d(A, d(d(2, d(1, d(B, I5))), d(B, J5))), d(d(2, d(1, d(B, d(E, J5)))), d(B, d(E, I5))))), Q4=d(B, K5), L5=d(B, U1), M2=d(B, J4), M5=d(B, N5), O5=d(B, P5), O2=d(B, Q5), Q2=d(B, R5), S5=d(B, E2), T5=d(B, O4), U5=d(B, T4), V5=d(B, Y4), W5=d(B, Z4), X5=d(B, A5), Y2=d(B, Y5), K3=d(N3, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), R))), A1))), d(3, d(P, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(W, S)))), R)))))), R)))))), S)))), R))), A1))))), V3=d(N3, d(d(2, d(1, d(A2, d(d(A, d(X2, d(B, Z5))), d(d(2, d(1, d(B, d(E, Z5)))), B5))))), d(3, d(P, d(A2, d(d(A, d(Z2, d(B, A6))), d(d(2, d(1, d(B, d(E, A6)))), D5))))))), B6=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(H, d(1, L3)))))), R))), X)))), R)), A1), d(G1, A1)), T3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C4=d(E, G5), E4=d(E, K2), Y3=d(E, K5), C6=d(E, d(d(A, d(J2, d(B, D6))), d(d(2, d(1, d(B, d(E, D6)))), D4))), E6=d(E, d(d(A, d(J2, d(B, F6))), d(d(2, d(1, F4)), D4))), Q1=d(E, G6), H6=d(E, d(d(A, d(d(2, d(1, d(B, I6))), L5)), d(T1, d(B, d(E, I6))))), I5=d(E, d(d(A, d(d(2, d(1, d(B, J6))), S5)), d(D2, d(B, d(E, J6))))), K6=d(E, d(d(A, d(d(2, d(1, d(B, H4))), I4)), d(J1, S1))), G4=d(E, F6), L6=d(E, d(d(A, d(d(2, d(1, T5)), d(B, M6))), d(d(2, d(1, d(B, d(E, M6)))), N4))), N6=d(E, O6), Z3=d(E, d(d(A, d(d(2, d(1, d(B, P6))), M5)), d(X1, d(B, d(E, P6))))), Y1=d(E, N5), B4=d(E, P5), L4=d(E, Q5), M4=d(E, R5), Q6=d(E, d(d(A, d(A2, d(d(A, d(V2, X5)), d(H2, W4)))), d(A2, d(d(A, d(d(2, d(1, U5)), X5)), d(H2, S4))))), C5=d(E, Y5), E5=d(E, A3), R6=d(E, d(O2, Y3)), S6=d(d(A, A1), A1), G5=d(d(A, M3), M3), T6=d(d(A, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(J, d(M, d(d(2, d(I, d(H, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, U))))), V)))), R))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, F), U))))), V)))), R))))), P3))))))), A1)))), R)))), S)))), R)))))), R))))), T)), d(d(2, d(J, d(M, d(d(2, d(I, d(H, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, D1)))), S)))), R)))))), R))))), T))), U))))), V)))), R)))), S)))), R)))))), R))))), T)))))), R))), L3)), A1))))), d(J, d(K, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(P, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, G)))), S)))), R)))))), R))))), T))), U))))), V)))), R)))), S)))), R)))))), R))))), T)))))), R))), L3)), A1))))), P3))))))), A1)), M6=d(d(A, d(d(2, d(1, d(B, V3))), F4)), d(d(2, d(1, d(B, d(E, G4)))), U3)), U6=d(d(A, d(H1, d(B, C6))), d(d(2, d(1, d(B, d(E, C6)))), W3)), V6=d(d(A, d(H1, d(B, W6))), d(d(2, d(1, d(B, d(E, W6)))), W3)), X6=d(d(A, d(H1, d(B, Y6))), d(d(2, d(1, d(B, d(E, Y6)))), W3)), Z6=d(d(A, d(L1, d(B, B6))), d(d(2, d(1, d(B, d(E, B6)))), d(B, d(E, C4)))), A7=d(d(A, d(N1, d(B, B7))), d(d(2, d(1, d(B, d(E, B7)))), X3)), C7=d(d(A, d(N1, d(B, D7))), d(d(2, d(1, d(B, d(E, D7)))), X3)), E7=d(d(A, d(d(2, d(1, d(B, E6))), S3)), d(H1, d(B, d(E, E6)))), F7=d(d(A, d(P1, d(B, V6))), d(d(2, d(1, d(B, d(E, V6)))), d(B, d(E, Q1)))), G7=d(d(A, d(d(2, d(1, d(B, H6))), d(B, T6))), d(d(2, d(1, d(B, d(E, T6)))), d(B, d(E, H6)))), K2=d(d(A, d(d(2, d(1, d(B, K6))), C2)), d(d(2, d(1, d(B, d(E, M4)))), d(B, d(E, K6)))), D6=d(d(A, d(d(2, d(1, d(B, L6))), I4)), d(J1, d(B, d(E, L6)))), H7=d(d(A, d(d(2, d(1, I4)), d(B, R6))), d(d(2, d(1, d(B, d(E, R6)))), K1)), I7=d(d(A, d(Z1, d(B, J7))), d(d(2, d(1, d(B, d(E, J7)))), A4)), K7=d(d(A, d(Z1, d(B, L7))), d(d(2, d(1, d(B, d(E, L7)))), A4)), M7=d(d(A, d(d(2, d(1, d(B, Q6))), O2)), d(d(2, d(1, K4)), d(B, d(E, Q6)))), N7=d(d(A, d(d(2, d(1, d(B, U6))), S3)), d(H1, d(B, d(E, U6)))), O7=d(d(A, d(d(2, d(1, d(B, C7))), Q4)), d(N1, d(B, d(E, C7)))), K5=d(d(A, d(d(2, d(1, d(B, E7))), R3)), d(E1, d(B, d(E, E7)))), P7=d(d(A, d(d(2, d(1, d(B, F7))), d(B, G6))), d(P1, d(B, d(E, F7)))), Q7=d(d(A, d(d(2, d(1, d(B, G7))), F5)), d(L1, d(B, d(E, G7)))), G6=d(d(A, d(d(2, d(1, d(B, N7))), R3)), d(E1, d(B, d(E, N7)))), R4=d(d(A, d(d(2, d(1, d(B, P7))), d(B, O7))), d(d(2, d(1, d(B, d(E, O7)))), d(B, d(E, P7)))), D=d(d(A, d(d(2, d(1, d(B, R7))), d(B, Z6))), d(d(2, d(1, d(B, d(E, Z6)))), d(B, d(E, R7)))), R7=d(d(A, d(d(2, d(1, d(B, S7))), d(B, Q7))), d(d(2, d(1, d(B, d(E, Q7)))), d(B, d(E, S7)))), S7=d(d(A, d(d(2, d(1, d(B, T7))), d(B, U7))), d(d(2, d(1, d(B, d(E, U7)))), d(B, d(E, T7)))), I6=d(d(A, d(d(2, d(1, d(B, V7))), M2)), d(V1, d(B, d(E, V7)))), T7=d(d(A, d(d(2, d(1, d(B, W7))), M2)), d(V1, d(B, d(E, W7)))), J5=d(d(A, d(d(2, d(1, d(B, X7))), V5)), d(d(2, d(1, X4)), d(B, d(E, X7)))), J6=d(d(A, d(d(2, d(1, d(B, Y7))), Q2)), d(B2, d(B, d(E, Y7)))), Z7=d(d(A, d(d(2, d(1, d(B, A8))), Q2)), d(B2, d(B, d(E, A8)))), F6=d(d(A, d(d(2, d(1, d(B, B8))), Q2)), d(B2, d(B, d(E, B8)))), B7=d(d(A, d(d(2, d(1, d(B, C8))), Q2)), d(B2, d(B, d(E, C8)))), D7=d(d(A, d(d(2, d(1, d(B, D8))), Q2)), d(B2, d(B, d(E, D8)))), V7=d(d(A, d(L2, L5)), d(T1, W1)), W7=d(d(A, d(L2, d(B, E8))), d(d(2, d(1, d(B, d(E, E8)))), W1)), X7=d(d(A, d(N2, O5)), d(Z1, K4)), H4=d(d(A, d(P2, d(B, M7))), d(d(2, d(1, d(B, d(E, M7)))), C2)), Y7=d(d(A, d(P2, S5)), d(D2, C2)), A8=d(d(A, d(P2, d(B, F8))), d(d(2, d(1, d(B, d(E, F8)))), C2)), B8=d(d(A, d(P2, T5)), d(d(2, d(1, N4)), C2)), C8=d(d(A, d(P2, d(B, G8))), d(d(2, d(1, d(B, d(E, G8)))), C2)), D8=d(d(A, d(P2, d(B, H8))), d(d(2, d(1, d(B, d(E, H8)))), C2)), O6=d(d(A, d(d(2, d(1, d(B, I8))), M5)), d(X1, d(B, d(E, I8)))), W6=d(d(A, d(d(2, d(1, d(B, J8))), S3)), d(H1, d(B, d(E, J8)))), Y6=d(d(A, d(d(2, d(1, d(B, K8))), S3)), d(H1, d(B, d(E, K8)))), U1=d(d(A, d(d(2, d(J, d(M, d(B3, d(J, d(K, d(d(2, d(1, d(2, d(1, d(L2, d(C1, F5)))))), P3))))))), A1)), d(d(2, d(J, d(M, d(B3, d(J, d(K, d(d(2, d(1, d(2, d(1, d(L2, d(C1, M1)))))), P3))))))), A1)), U7=d(d(A, d(d(2, d(J, d(M, d(B3, d(J, d(K, d(d(2, d(1, d(2, d(1, d(L2, d(C1, d(B, L8))))))), P3))))))), A1)), d(d(2, d(J, d(M, d(B3, d(J, d(K, d(d(2, d(1, d(2, d(1, d(L2, d(C1, d(B, d(E, L8)))))))), P3))))))), A1)), E8=d(d(A, d(d(2, d(J, d(M, d(B3, d(J, d(K, d(d(2, d(1, d(2, d(1, d(L2, d(C1, d(B, M8))))))), P3))))))), A1)), d(d(2, d(J, d(M, d(B3, d(J, d(K, d(d(2, d(1, d(2, d(1, d(L2, d(C1, d(B, d(E, M8)))))))), P3))))))), A1)), J4=d(d(A, O3), O3), N5=d(d(A, L), I3), P5=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(H, d(I, d(2, d(1, J3)))))))), R))), d(I, B1))))), R)), A1)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, A)))), d(C3, d(H, d(d(2, d(1, d(2, d(Y, H3)))), R)))))), d(C3, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J3))), H3)))), R))))), Q5=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(H, d(J, d(B1, N8))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(P2, N8))))), R)))), R)))))), R)), A1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(H, d(J, d(B1, A1))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(P2, A1))))), R)))), R)))))), R)), A1)), R5=d(d(A, E), E), E2=d(d(A, d(A2, d(d(A, d(d(2, d(1, d(B, O8))), X5)), d(H2, d(B, d(E, O8)))))), d(A2, d(d(A, d(d(2, d(1, d(B, P8))), X5)), d(H2, d(B, d(E, P8)))))), F8=d(d(A, d(A2, d(d(A, d(d(2, d(1, d(B, Q8))), X5)), d(H2, d(B, d(E, Q8)))))), d(A2, d(d(A, d(d(2, d(1, d(B, R8))), X5)), d(H2, d(B, d(E, R8)))))), S8=d(d(A, d(A2, d(d(A, d(d(2, d(1, d(B, T8))), X5)), d(H2, d(B, d(E, T8)))))), d(A2, d(d(A, d(d(2, d(1, d(B, U8))), X5)), d(H2, d(B, d(E, U8)))))), O4=d(d(A, d(A2, d(d(A, d(d(2, d(1, d(B, V8))), X5)), d(H2, d(B, d(E, V8)))))), d(A2, d(d(A, d(d(2, d(1, d(B, W8))), X5)), d(H2, d(B, d(E, W8)))))), G8=d(d(A, d(A2, d(d(A, d(d(2, d(1, V5)), X5)), d(H2, X4)))), d(A2, d(d(A, d(R2, X5)), d(H2, U4)))), H8=d(d(A, d(A2, d(d(A, d(d(2, d(1, W5)), X5)), d(H2, G2)))), d(A2, d(d(A, d(T2, X5)), d(H2, V4)))), J7=d(d(A, d(A2, d(d(A, d(d(2, d(1, d(B, X8))), X5)), d(H2, d(B, d(E, X8)))))), d(A2, d(d(A, d(d(2, d(1, d(B, Y8))), X5)), d(H2, d(B, d(E, Y8)))))), L7=d(d(A, d(A2, d(d(A, d(d(2, d(1, d(B, Z8))), X5)), d(H2, d(B, d(E, Z8)))))), d(A2, d(d(A, d(d(2, d(1, d(B, A9))), X5)), d(H2, d(B, d(E, A9)))))), B9=d(A2, d(d(A, d(d(2, d(1, d(B, C9))), d(B, D9))), d(d(2, d(1, d(B, d(E, D9)))), d(B, d(E, C9))))), E9=d(A2, d(d(A, d(R2, Y2)), d(d(2, d(1, B5)), U4))), N8=d(A2, d(d(A, d(V2, d(B, F9))), d(d(2, d(1, d(B, d(E, F9)))), W4))), L8=d(H5, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(H, d(J, d(B1, B9))))))), R))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, d(P2, B9))))), R)))), R)))))), R)), A1)), M8=d(H5, P4), O8=d(O5, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P8=d(O5, d(1, T3)), R8=d(O5, d(1, d(E, S6))), U8=d(O5, d(1, d(E, X6))), G9=d(O5, d(1, E4)), C9=d(O5, d(1, d(E, d(d(A, d(N2, d(B, N6))), d(d(2, d(1, d(B, d(E, N6)))), K4))))), W8=d(O5, d(1, N6)), T4=d(O5, d(1, Y1)), S2=d(O5, d(1, L4)), U2=d(O5, d(1, M4)), Y8=d(O5, d(1, C5)), A9=d(O5, d(1, E5)), Q8=d(O5, d(1, S6)), T8=d(O5, d(1, X6)), H9=d(O5, d(1, d(d(A, d(d(2, d(1, d(B, A7))), d(B, H7))), d(d(2, d(1, d(B, d(E, H7)))), d(B, d(E, A7)))))), V8=d(O5, d(1, O6)), W2=d(O5, d(1, N5)), Y4=d(O5, d(1, Q5)), Z4=d(O5, d(1, R5)), X8=d(O5, d(1, Y5)), Z8=d(O5, d(1, A3)), A5=d(O5, A1), I9=d(O5, d(P2, d(R1, d(P2, Q3)))), J9=d(O5, d(P2, d(R1, d(P2, E9)))), Z5=d(O5, d(P2, d(A2, d(d(A, d(T2, d(B, K9))), d(d(2, d(1, d(B, d(E, K9)))), V4))))), A6=d(O5, d(P2, d(A2, d(d(A, d(d(2, d(1, d(B, L9))), d(B, G9))), d(d(2, d(1, d(B, d(E, G9)))), d(B, d(E, L9))))))), Y5=d(O5, Q3), M9=d(O5, P4), N9=d(O5, d(A2, d(d(A, d(d(2, d(1, d(B, I7))), O5)), d(Z1, d(B, d(E, I7)))))), O9=d(O5, d(A2, d(d(A, d(d(2, d(1, d(B, K7))), O5)), d(Z1, d(B, d(E, K7)))))), A3=d(O5, E9), L9=d(O5, d(A2, d(d(A, d(T2, d(B, P9))), d(d(2, d(1, d(B, d(E, P9)))), V4)))), F9=d(O5, d(A2, d(d(A, d(d(2, d(1, X5)), U5)), d(d(2, d(1, S4)), I2)))), D9=d(O5, d(A2, d(d(A, d(d(2, d(1, d(B, M9))), d(B, H9))), d(d(2, d(1, d(B, d(E, H9)))), d(B, d(E, M9)))))), K9=d(O5, d(A2, d(d(A, d(d(2, d(1, d(B, N9))), W5)), d(F2, d(B, d(E, N9)))))), P9=d(O5, d(A2, d(d(A, d(d(2, d(1, d(B, O9))), W5)), d(F2, d(B, d(E, O9)))))), I8=d(O2, I1), P6=d(O2, d(E, d(N3, d(d(2, d(1, d(P2, d(A2, d(d(A, d(X2, d(B, I9))), d(d(2, d(1, d(B, d(E, I9)))), B5)))))), d(3, d(P, d(P2, d(A2, d(d(A, d(Z2, d(B, J9))), d(d(2, d(1, d(B, d(E, J9)))), D5)))))))))), J8=d(O2, d(d(A, d(d(2, d(1, d(B, Z7))), d(B, S8))), d(d(2, d(1, d(B, d(E, S8)))), d(B, d(E, Z7))))), K8=d(O2, R5)]).
mm_proof(cador, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, C))))-[E=d(1, F), G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, Q)))), Q)))), Q)))), R)))), Q)))))), Q))))), S))), T))))), U)))), V=d(2, d(1, d(2, A))), P=d(2, d(1, d(2, W))), X=d(2, d(1, d(2, B))), Y=d(2, d(1, Z)), A1=d(2, d(1, B)), B1=d(2, d(1, C1)), D1=d(2, d(1, E1)), F1=d(2, d(1, G1)), H1=d(2, d(1, d(B, d(D, d(d(A, d(I1, d(B, J1))), d(d(2, d(1, d(B, d(D, J1)))), K1)))))), L1=d(2, d(1, d(B, d(D, M1)))), N1=d(2, d(1, O1)), P1=d(2, d(1, d(B, Q1))), R1=d(2, d(1, K1)), S1=d(2, d(1, d(B, d(D, T1)))), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), I1=d(2, d(1, Y1)), Z1=d(2, d(1, d(B, A2))), B2=d(2, d(H, d(G, d(1, d(B1, Z))))), C2=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, Q))))), d(1, D2)))), O=d(2, d(I, E2)), F2=d(3, d(O, M)), G2=d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, E2))))), Q))), Z=d(d(2, 1), 1), H2=d(G, 1), Q=d(G, Z), R=d(G, I2), M=d(I, Q), U=d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D2))), R)))), Q)), A=d(d(2, d(1, d(2, d(1, d(G2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U), D2=d(d(2, d(1, d(2, Z))), Q), E2=d(d(2, d(1, d(2, d(d(2, d(1, Y)), R)))), Q), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, T))))), U)))), Q), B=d(d(2, d(1, F2)), d(F2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J2=d(d(2, d(1, G2)), K2), L2=d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), R)))), Q)))))), Q))))), S), M2=d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(P, R)))), Q)))))), Q))))), S), I2=d(d(2, d(1, N2)), M), F=d(D1, 1), C1=d(D1, d(L, Q)), N2=d(d(2, d(I, d(L, Z))), Z), O2=d(d(2, d(I, d(L, d(d(2, d(H, d(G, E))), d(I, d(J, d(d(2, d(1, B1)), P2))))))), Z), Q2=d(d(2, d(I, d(L, d(d(2, d(H, d(G, d(1, d(W1, d(B1, C1)))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(L, d(B2, d(I, d(J, d(d(2, d(1, d(2, d(1, d(W1, d(B1, F)))))), P2))))))), Z))))), P2))))))), Z), K=d(O, Z), R2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(G, d(X, Q)))))), Q))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, H2)))), Q))), 1)))), Q))))), Q)), Z), D=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(G, B))))), Q))), J2)))), Q)), Z), S2=d(d(3, d(3, d(1, T2))), T2), S=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P2=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K2=d(B, S2), T=d(B, U2), E1=d(B, V2), W2=d(B, d(D, X2)), G1=d(B, X2), O1=d(B, d(D, Y2)), Z2=d(B, d(D, A3)), B3=d(B, C3), K1=d(B, d(D, D3)), E3=d(B, d(D, F3)), G3=d(B, d(D, H3)), I3=d(B, d(D, J3)), K3=d(B, d(D, A2)), V1=d(B, d(D, L3)), M3=d(B, d(D, N3)), O3=d(B, P3), Q3=d(B, d(d(A, d(d(2, d(1, d(B, R3))), d(B, S3))), d(d(2, d(1, d(B, d(D, S3)))), d(B, d(D, R3))))), T3=d(B, M1), X1=d(B, Y2), U3=d(B, V3), W3=d(B, A3), X3=d(B, Y3), Y1=d(B, D3), Z3=d(B, T1), A4=d(B, F3), B4=d(B, H3), C4=d(B, J3), D4=d(B, L3), E4=d(B, N3), T2=d(N2, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R)))), Q))), Z))), d(3, d(O, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(V, R)))), Q)))))), Q)))))), R)))), Q))), Z))))), U2=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V2=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X2=d(D, P3), F4=d(D, d(d(A, d(d(2, d(1, d(B, G4))), d(B, H4))), d(d(2, d(1, d(B, d(D, H4)))), d(B, d(D, G4))))), G4=d(D, d(d(A, d(d(2, d(1, d(B, I4))), Y1)), d(R1, d(B, d(D, I4))))), H4=d(D, d(d(A, d(d(2, d(1, d(B, J4))), d(B, K4))), d(d(2, d(1, d(B, d(D, K4)))), d(B, d(D, J4))))), L4=d(D, d(d(A, d(d(2, d(1, d(B, M4))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, M4))))), N4=d(D, d(d(A, d(d(2, d(1, d(B, O4))), T3)), d(L1, d(B, d(D, O4))))), R3=d(D, d(d(A, d(d(2, d(1, d(B, P4))), Z3)), d(S1, d(B, d(D, P4))))), Q4=d(D, d(d(A, d(d(2, d(1, d(B, R4))), U3)), d(P1, d(B, d(D, R4))))), Q1=d(D, V3), C3=d(D, Y3), S4=d(D, d(d(A, d(Z2, d(d(A, d(Z1, D4)), d(U1, K3)))), d(Z2, d(d(A, d(d(2, d(1, B4)), D4)), d(U1, G3))))), P3=d(d(A, M2), M2), T4=d(d(A, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(I, d(L, d(d(2, d(H, d(G, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, T))))), U)))), Q))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, E), T))))), U)))), Q))))), P2))))))), Z)))), Q)))), R)))), Q)))))), Q))))), S)), d(d(2, d(I, d(L, d(d(2, d(H, d(G, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, C1)))), R)))), Q)))))), Q))))), S))), T))))), U)))), Q)))), R)))), Q)))))), Q))))), S)))))), Q))), L2)), Z))))), d(I, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(N, d(G, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(O, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(G, F)))), R)))), Q)))))), Q))))), S))), T))))), U)))), Q)))), R)))), Q)))))), Q))))), S)))))), Q))), L2)), Z))))), P2))))))), Z)), I4=d(d(A, d(d(2, d(1, T)), K2)), d(d(2, d(1, d(B, d(D, S2)))), d(B, d(D, U2)))), U4=d(d(A, d(D1, d(B, V4))), d(d(2, d(1, d(B, d(D, V4)))), d(B, d(D, V2)))), W4=d(d(A, d(F1, d(B, X4))), d(d(2, d(1, d(B, d(D, X4)))), W2)), Y4=d(d(A, d(d(2, d(1, d(B, F4))), d(B, Q4))), d(d(2, d(1, d(B, d(D, Q4)))), d(B, d(D, F4)))), C=d(d(A, d(d(2, d(1, d(B, L4))), d(B, Z4))), d(d(2, d(1, d(B, d(D, Z4)))), d(B, d(D, L4)))), A5=d(d(A, d(d(2, d(1, d(B, N4))), d(B, T4))), d(d(2, d(1, d(B, d(D, T4)))), d(B, d(D, N4)))), J1=d(d(A, d(d(2, d(1, d(B, S4))), X3)), d(d(2, d(1, B3)), d(B, d(D, S4)))), Z4=d(d(A, d(d(2, d(1, d(B, U4))), P2)), d(D1, d(B, d(D, U4)))), J4=d(d(A, d(d(2, d(1, d(B, W4))), O3)), d(F1, d(B, d(D, W4)))), B5=d(d(A, d(d(2, d(1, d(B, Y4))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(D, Y4)))), M4=d(d(A, d(d(2, d(1, d(B, C5))), X1)), d(N1, d(B, d(D, C5)))), O4=d(d(A, d(d(2, d(1, d(B, D5))), X1)), d(N1, d(B, d(D, D5)))), S3=d(d(A, d(d(2, d(1, d(B, E5))), d(B, F5))), d(d(2, d(1, d(B, d(D, F5)))), d(B, d(D, E5)))), P4=d(d(A, d(d(2, d(1, d(B, G5))), Y1)), d(R1, d(B, d(D, G5)))), C5=d(d(A, d(d(2, d(1, d(B, H5))), d(B, I5))), d(d(2, d(1, d(B, d(D, I5)))), d(B, d(D, H5)))), D5=d(d(A, d(W1, T3)), d(L1, O1)), E5=d(d(A, d(d(2, d(1, X3)), W3)), d(d(2, d(1, Z2)), B3)), G5=d(d(A, d(I1, Z3)), d(S1, K1)), M1=d(d(A, d(d(2, d(I, d(L, d(B2, d(I, d(J, d(d(2, d(1, d(2, d(1, d(W1, d(B1, O3)))))), P2))))))), Z)), d(d(2, d(I, d(L, d(B2, d(I, d(J, d(d(2, d(1, d(2, d(1, d(W1, d(B1, G1)))))), P2))))))), Z)), H5=d(d(A, d(d(2, d(I, d(L, d(B2, d(I, d(J, d(d(2, d(1, d(2, d(1, d(W1, d(B1, X1)))))), P2))))))), Z)), d(d(2, d(I, d(L, d(B2, d(I, d(J, d(d(2, d(1, d(2, d(1, d(W1, d(B1, O1)))))), P2))))))), Z)), Y2=d(d(A, O2), O2), I5=d(d(A, Q2), Q2), V3=d(d(A, K), I2), A3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(G, d(H, d(2, d(1, J2)))))))), Q))), d(H, A1))))), Q)), Z)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, A)))), d(C2, d(G, d(d(2, d(1, d(2, d(X, H2)))), Q)))))), d(C2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J2))), H2)))), Q))))), Y3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(G, d(I, d(A1, J5))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(I1, J5))))), Q)))), Q)))))), Q)), Z)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(G, d(I, d(A1, Z))))))), Q))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(I1, Z))))), Q)))), Q)))))), Q)), Z)), D3=d(d(A, D), D), T1=d(d(A, d(Z2, d(d(A, d(d(2, d(1, d(B, K5))), D4)), d(U1, d(B, d(D, K5)))))), d(Z2, d(d(A, d(d(2, d(1, d(B, L5))), D4)), d(U1, d(B, d(D, L5)))))), M5=d(Z2, d(d(A, d(d(2, d(1, d(B, N5))), E4)), d(d(2, d(1, M3)), d(B, d(D, N5))))), J5=d(Z2, d(d(A, d(Z1, d(B, O5))), d(d(2, d(1, d(B, d(D, O5)))), K3))), X4=d(Q3, d(1, d(D, d(d(A, d(d(2, d(1, P2)), X1)), d(N1, E1))))), K4=d(Q3, d(1, d(d(A, d(d(2, d(1, d(B, P5))), U3)), d(P1, d(B, d(D, P5)))))), K5=d(W3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L5=d(W3, d(1, U2)), F3=d(W3, d(1, X2)), Q5=d(W3, d(1, d(D, d(d(A, d(F1, d(B, B5))), d(d(2, d(1, d(B, d(D, B5)))), W2))))), H3=d(W3, d(1, Q1)), N5=d(W3, d(1, C3)), J3=d(W3, d(1, P3)), R5=d(W3, d(1, d(d(A, d(d(2, d(1, d(B, A5))), O3)), d(F1, d(B, d(D, A5)))))), A2=d(W3, d(1, V3)), F5=d(W3, d(1, Y3)), L3=d(W3, Z), S5=d(W3, d(d(2, d(1, Q3)), d(G, d(I1, d(I1, d(I1, d(Z2, d(d(A, d(d(2, d(1, d(B, Q5))), d(B, T5))), d(d(2, d(1, d(B, d(D, T5)))), d(B, d(D, Q5))))))))))), U5=d(W3, d(I1, d(H1, d(I1, R2)))), V5=d(W3, d(I1, d(H1, d(I1, M5)))), W5=d(W3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(G, d(1, L2)))))), Q))), W)))), Q)), Z)), N3=d(W3, R2), X5=d(W3, d(Z2, d(d(A, d(d(2, d(1, A4)), d(B, Y5))), d(d(2, d(1, d(B, d(D, Y5)))), E3)))), Z5=d(W3, M5), T5=d(W3, d(Z2, d(d(A, d(d(2, d(1, C4)), d(B, W5))), d(d(2, d(1, d(B, d(D, W5)))), I3)))), V4=d(W3, d(Z2, d(d(A, d(d(2, d(1, d(B, R5))), d(B, A6))), d(d(2, d(1, d(B, d(D, A6)))), d(B, d(D, R5)))))), O5=d(W3, d(Z2, d(d(A, d(d(2, d(1, D4)), B4)), d(d(2, d(1, G3)), V1)))), Y5=d(W3, d(Z2, d(d(A, d(d(2, d(1, d(B, S5))), C4)), d(d(2, d(1, I3)), d(B, d(D, S5)))))), A6=d(W3, d(Z2, d(d(A, d(d(2, d(1, d(B, X5))), A4)), d(d(2, d(1, E3)), d(B, d(D, X5)))))), P5=d(X3, U2), R4=d(X3, d(D, d(N2, d(d(2, d(1, d(I1, d(Z2, d(d(A, d(d(2, d(1, E4)), d(B, U5))), d(d(2, d(1, d(B, d(D, U5)))), M3)))))), d(3, d(O, d(I1, d(Z2, d(d(A, d(d(2, d(1, d(B, Z5))), d(B, V5))), d(d(2, d(1, d(B, d(D, V5)))), d(B, d(D, Z5))))))))))))]).
mm_proof(cadan, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(1, I), J=d(1, K), L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, P)), Q=d(2, d(1, d(2, d(1, R)))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Y, Z)))), Z)))), Z)))), A1)))), Z)))))), Z))))), B1))), C1))))), D1)))), E1=d(2, d(1, d(2, A))), Y=d(2, d(1, d(2, F1))), G1=d(2, d(1, d(2, B))), H1=d(2, d(1, d(2, I1))), P=d(2, d(1, J1)), K1=d(2, d(1, B)), L1=d(2, H), M1=d(2, d(1, N1)), O1=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), P1=d(2, d(1, Q1)), R1=d(2, d(1, S1)), T1=d(2, d(1, d(B, d(E, d(d(A, d(U1, d(B, V1))), d(d(2, d(1, d(B, d(E, V1)))), W1)))))), X1=d(2, d(1, d(B, d(E, Y1)))), Z1=d(2, d(1, A2)), B2=d(2, d(1, d(B, C2))), D2=d(2, d(1, W1)), E2=d(2, d(1, d(B, d(E, F2)))), G2=d(2, d(1, d(B, d(E, H2)))), I2=d(2, d(1, d(B, d(E, J2)))), K2=d(2, d(1, L2)), M2=d(2, d(1, N2)), U1=d(2, d(1, O2)), P2=d(2, d(1, d(B, Q2))), R2=d(2, d(M, d(L, d(1, d(M1, J1))))), S2=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, Z))))), F))), X=d(2, d(N, T2)), U2=d(3, d(X, T)), V2=d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, T2))))), Z))), J1=d(d(2, 1), 1), W2=d(L, 1), X2=d(L, J), Z=d(L, J1), A1=d(L, Y2), Z2=d(L, N1), T=d(N, Z), D1=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), A1)))), Z)), V=d(d(2, d(1, d(2, d(1, d(P, C1))))), D1), A=d(d(2, d(1, d(2, d(1, d(V2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1), G=d(d(2, d(1, d(2, J1))), Z), T2=d(d(2, d(1, d(2, d(O, A1)))), Z), F1=d(U, Z), B=d(d(2, d(1, U2)), d(U2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, V2)), A3), I=d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), A1)))), Z)))))), Z))))), B1), B3=d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(Y, A1)))), Z)))))), Z))))), B1), Y2=d(d(2, d(1, C3)), T), K=d(P1, 1), N1=d(P1, d(S, Z)), C3=d(d(2, d(N, d(S, J1))), J1), D3=d(d(2, d(N, d(S, d(d(2, d(M, X2)), d(N, d(Q, d(d(2, d(1, M1)), E3))))))), J1), F3=d(d(2, d(N, d(S, d(d(2, d(M, d(L, d(1, d(M2, d(M1, N1)))))), d(N, d(Q, d(d(2, d(1, d(2, d(1, d(d(2, d(N, d(S, d(R2, d(N, d(Q, d(d(2, d(1, d(2, d(1, d(M2, d(M1, K)))))), E3))))))), J1))))), E3))))))), J1), R=d(X, J1), G3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(L, d(G1, Z)))))), Z))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, W2)))), Z))), 1)))), Z))))), Z)), J1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(L, B))))), Z))), I1)))), Z)), J1), H3=d(d(3, d(3, d(1, I3))), I3), J3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), A3=d(B, H3), C1=d(B, K3), Q1=d(B, L3), M3=d(B, d(E, N3)), S1=d(B, N3), O3=d(B, d(E, P3)), A2=d(B, d(E, Q3)), R3=d(B, d(E, S3)), T3=d(B, U3), W1=d(B, d(E, V3)), W3=d(B, d(E, X3)), Y3=d(B, d(E, Z3)), A4=d(B, d(E, B4)), C4=d(B, d(E, Q2)), L2=d(B, d(E, D4)), E4=d(B, d(E, F4)), G4=d(B, H4), I4=d(B, P3), J4=d(B, d(d(A, d(d(2, d(1, d(B, K4))), d(B, L4))), d(d(2, d(1, d(B, d(E, L4)))), d(B, d(E, K4))))), M4=d(B, Y1), N2=d(B, Q3), N4=d(B, O4), P4=d(B, S3), Q4=d(B, R4), O2=d(B, V3), S4=d(B, F2), T4=d(B, H2), U4=d(B, J2), V4=d(B, X3), W4=d(B, Z3), X4=d(B, B4), Y4=d(B, D4), Z4=d(B, F4), I3=d(C3, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), A1)))), Z))), J1))), d(3, d(X, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(E1, A1)))), Z)))))), Z)))))), A1)))), Z))), J1))))), C=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N3=d(E, H4), A5=d(E, d(d(A, d(d(2, d(1, d(B, B5))), d(B, C5))), d(d(2, d(1, d(B, d(E, C5)))), d(B, d(E, B5))))), B5=d(E, d(d(A, d(d(2, d(1, d(B, D5))), O2)), d(D2, d(B, d(E, D5))))), E5=d(E, d(d(A, d(d(2, d(1, d(B, F5))), T4)), d(G2, d(B, d(E, F5))))), C5=d(E, d(d(A, d(d(2, d(1, d(B, G5))), d(B, H5))), d(d(2, d(1, d(B, d(E, H5)))), d(B, d(E, G5))))), I5=d(E, d(d(A, d(d(2, d(1, d(B, J5))), U4)), d(I2, d(B, d(E, J5))))), K5=d(E, d(d(A, d(d(2, d(1, d(B, L5))), J3)), d(O1, d(B, d(E, L5))))), M5=d(E, d(d(A, d(d(2, d(1, d(B, N5))), M4)), d(X1, d(B, d(E, N5))))), K4=d(E, d(d(A, d(d(2, d(1, d(B, O5))), S4)), d(E2, d(B, d(E, O5))))), P5=d(E, d(d(A, d(d(2, d(1, d(B, Q5))), N2)), d(Z1, d(B, d(E, Q5))))), R5=d(E, d(d(A, d(d(2, d(1, d(B, S5))), N4)), d(B2, d(B, d(E, S5))))), C2=d(E, O4), U3=d(E, R4), T5=d(E, d(d(A, d(R3, d(d(A, d(P2, Y4)), d(K2, C4)))), d(R3, d(d(A, d(d(2, d(1, W4)), Y4)), d(K2, Y3))))), U5=d(E, d(d(B, d(d(A, d(U1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, X2)))), Z))), d(d(2, d(1, d(2, d(d(2, d(N, d(S, d(d(2, d(M, d(L, F))), d(N, d(Q, d(d(2, d(1, d(2, d(1, d(O, Z))))), E3))))))), J1)))), Z))))), Z)), J1))), d(d(2, d(1, d(2, d(H1, Z2)))), Z))), d(M1, I))), H4=d(d(A, B3), B3), P3=d(d(A, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(N, d(S, d(d(2, d(M, d(L, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M1, C1))))), D1)))), Z))))), d(N, d(Q, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, J), C1))))), D1)))), Z))))), E3))))))), J1)))), Z)))), A1)))), Z)))))), Z))))), B1)), d(d(2, d(N, d(S, d(d(2, d(M, d(L, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(L, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z2))), A1)))), Z)))))), Z))))), B1))), C1))))), D1)))), Z)))), A1)))), Z)))))), Z))))), B1)))))), Z))), I)), J1))))), d(N, d(Q, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(L, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, K)))), A1)))), Z)))))), Z))))), B1))), C1))))), D1)))), Z)))), A1)))), Z)))))), Z))))), B1)))))), Z))), I)), J1))))), E3))))))), J1)), D5=d(d(A, d(d(2, d(1, C1)), A3)), d(d(2, d(1, d(B, d(E, H3)))), d(B, d(E, K3)))), V5=d(d(A, d(P1, d(B, W5))), d(d(2, d(1, d(B, d(E, W5)))), d(B, d(E, L3)))), X5=d(d(A, d(R1, T4)), d(G2, M3)), Y5=d(d(A, d(R1, d(B, Z5))), d(d(2, d(1, d(B, d(E, Z5)))), M3)), A6=d(d(A, d(R1, d(B, B6))), d(d(2, d(1, d(B, d(E, B6)))), M3)), C6=d(d(A, d(R1, U4)), d(I2, M3)), D6=d(d(A, d(d(2, d(1, d(B, A5))), d(B, R5))), d(d(2, d(1, d(B, d(E, R5)))), d(B, d(E, A5)))), E6=d(d(A, d(d(2, d(1, d(B, E5))), d(B, F6))), d(d(2, d(1, d(B, d(E, F6)))), d(B, d(E, E5)))), G6=d(d(A, d(d(2, d(1, d(B, I5))), d(B, H6))), d(d(2, d(1, d(B, d(E, H6)))), d(B, d(E, I5)))), I6=d(d(A, d(d(2, d(1, d(B, K5))), d(B, J6))), d(d(2, d(1, d(B, d(E, J6)))), d(B, d(E, K5)))), K6=d(d(A, d(d(2, d(1, d(B, M5))), I4)), d(d(2, d(1, O3)), d(B, d(E, M5)))), L6=d(d(A, d(d(2, d(1, d(B, P5))), J3)), d(O1, d(B, d(E, P5)))), V1=d(d(A, d(d(2, d(1, d(B, T5))), Q4)), d(d(2, d(1, T3)), d(B, d(E, T5)))), J6=d(d(A, d(d(2, d(1, d(B, V5))), E3)), d(P1, d(B, d(E, V5)))), F5=d(d(A, d(d(2, d(1, d(B, X5))), G4)), d(R1, d(B, d(E, X5)))), G5=d(d(A, d(d(2, d(1, d(B, Y5))), G4)), d(R1, d(B, d(E, Y5)))), M6=d(d(A, d(d(2, d(1, d(B, A6))), G4)), d(R1, d(B, d(E, A6)))), J5=d(d(A, d(d(2, d(1, d(B, C6))), G4)), d(R1, d(B, d(E, C6)))), N6=d(d(A, d(d(2, d(1, d(B, D6))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, D6)))), H6=d(d(A, d(d(2, d(1, d(B, E6))), E3)), d(P1, d(B, d(E, E6)))), O6=d(d(A, d(d(2, d(1, d(B, G6))), N2)), d(Z1, d(B, d(E, G6)))), P6=d(d(A, d(d(2, d(1, d(B, I6))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, I6)))), Q6=d(d(A, d(d(2, d(1, d(B, L6))), d(B, P6))), d(d(2, d(1, d(B, d(E, P6)))), d(B, d(E, L6)))), R6=d(d(A, d(d(2, d(1, d(B, M6))), d(B, S6))), d(d(2, d(1, d(B, d(E, S6)))), d(B, d(E, M6)))), T6=d(d(A, d(d(2, d(1, d(B, R6))), d(B, O6))), d(d(2, d(1, d(B, d(E, O6)))), d(B, d(E, R6)))), D=d(d(A, d(d(2, d(1, d(B, T6))), d(B, Q6))), d(d(2, d(1, d(B, d(E, Q6)))), d(B, d(E, T6)))), L5=d(d(A, d(d(2, d(1, d(B, U6))), N2)), d(Z1, d(B, d(E, U6)))), N5=d(d(A, d(d(2, d(1, d(B, V6))), N2)), d(Z1, d(B, d(E, V6)))), L4=d(d(A, d(d(2, d(1, d(B, W6))), d(B, X6))), d(d(2, d(1, d(B, d(E, X6)))), d(B, d(E, W6)))), O5=d(d(A, d(d(2, d(1, d(B, Y6))), O2)), d(D2, d(B, d(E, Y6)))), U6=d(d(A, d(d(2, d(1, d(B, Z6))), d(B, A7))), d(d(2, d(1, d(B, d(E, A7)))), d(B, d(E, Z6)))), V6=d(d(A, d(M2, M4)), d(X1, A2)), Q5=d(d(A, d(M2, d(B, B7))), d(d(2, d(1, d(B, d(E, B7)))), A2)), W6=d(d(A, d(d(2, d(1, Q4)), P4)), d(d(2, d(1, R3)), T3)), Y6=d(d(A, d(U1, S4)), d(E2, W1)), Y1=d(d(A, d(d(2, d(N, d(S, d(R2, d(N, d(Q, d(d(2, d(1, d(2, d(1, d(M2, d(M1, G4)))))), E3))))))), J1)), d(d(2, d(N, d(S, d(R2, d(N, d(Q, d(d(2, d(1, d(2, d(1, d(M2, d(M1, S1)))))), E3))))))), J1)), B7=d(d(A, d(d(2, d(N, d(S, d(R2, d(N, d(Q, d(d(2, d(1, d(2, d(1, d(M2, d(M1, I4)))))), E3))))))), J1)), d(d(2, d(N, d(S, d(R2, d(N, d(Q, d(d(2, d(1, d(2, d(1, d(M2, d(M1, O3)))))), E3))))))), J1)), Z6=d(d(A, d(d(2, d(N, d(S, d(R2, d(N, d(Q, d(d(2, d(1, d(2, d(1, d(M2, d(M1, N2)))))), E3))))))), J1)), d(d(2, d(N, d(S, d(R2, d(N, d(Q, d(d(2, d(1, d(2, d(1, d(M2, d(M1, A2)))))), E3))))))), J1)), Q3=d(d(A, D3), D3), A7=d(d(A, F3), F3), O4=d(d(A, R), Y2), S3=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(L, d(M, d(2, d(1, I1)))))))), Z))), d(M, K1))))), Z)), J1)), d(d(2, d(M, d(d(2, d(1, d(2, d(1, A)))), d(S2, d(L, d(d(2, d(1, d(2, d(G1, W2)))), Z)))))), d(S2, d(L, d(d(2, d(1, d(2, d(H1, W2)))), Z))))), R4=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(L, d(N, d(K1, C7))))))), Z))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K1, d(U1, C7))))), Z)))), Z)))))), Z)), J1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(L, d(N, d(K1, J1))))))), Z))), d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K1, d(U1, J1))))), Z)))), Z)))))), Z)), J1)), V3=d(d(A, E), E), F6=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(L, d(2, d(1, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(L1, C1))))), D1)))), Z)))), A1)))), Z)))))), Z))))), B1)))))))), Z))), L1)), J1)), d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(N, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(2, d(1, V)))))), A1)))), Z)))))), Z))))), B1)), F2=d(d(A, d(R3, d(d(A, d(d(2, d(1, d(B, D7))), Y4)), d(K2, d(B, d(E, D7)))))), d(R3, d(d(A, d(d(2, d(1, d(B, E7))), Y4)), d(K2, d(B, d(E, E7)))))), F7=d(R3, d(d(A, d(d(2, d(1, d(B, G7))), Z4)), d(d(2, d(1, E4)), d(B, d(E, G7))))), C7=d(R3, d(d(A, d(P2, d(B, H7))), d(d(2, d(1, d(B, d(E, H7)))), C4))), H2=d(J4, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z5=d(J4, d(1, d(E, d(d(A, d(d(2, d(1, E3)), N2)), d(Z1, Q1))))), S6=d(J4, d(1, d(d(A, d(d(2, d(1, d(B, U5))), N2)), d(Z1, d(B, d(E, U5)))))), B6=d(J4, d(1, H6)), H5=d(J4, d(1, d(d(A, d(d(2, d(1, d(B, I7))), N4)), d(B2, d(B, d(E, I7)))))), J2=d(J4, d(1, Q3)), D7=d(P4, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E7=d(P4, d(1, K3)), X3=d(P4, d(1, N3)), J7=d(P4, d(1, d(E, d(d(A, d(R1, d(B, N6))), d(d(2, d(1, d(B, d(E, N6)))), M3))))), Z3=d(P4, d(1, C2)), G7=d(P4, d(1, U3)), B4=d(P4, d(1, H4)), K7=d(P4, d(1, d(d(A, d(d(2, d(1, d(B, K6))), G4)), d(R1, d(B, d(E, K6)))))), Q2=d(P4, d(1, O4)), X6=d(P4, d(1, R4)), D4=d(P4, J1), L7=d(P4, d(d(2, d(1, J4)), d(L, d(U1, d(U1, d(U1, d(R3, d(d(A, d(d(2, d(1, d(B, J7))), d(B, M7))), d(d(2, d(1, d(B, d(E, M7)))), d(B, d(E, J7))))))))))), N7=d(P4, d(U1, d(T1, d(U1, G3)))), O7=d(P4, d(U1, d(T1, d(U1, F7)))), P7=d(P4, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(E1, d(L, H))))), Z))), F1)))), Z)), J1)), F4=d(P4, G3), Q7=d(P4, d(R3, d(d(A, d(d(2, d(1, V4)), d(B, R7))), d(d(2, d(1, d(B, d(E, R7)))), W3)))), S7=d(P4, F7), M7=d(P4, d(R3, d(d(A, d(d(2, d(1, X4)), d(B, P7))), d(d(2, d(1, d(B, d(E, P7)))), A4)))), W5=d(P4, d(R3, d(d(A, d(d(2, d(1, d(B, K7))), d(B, T7))), d(d(2, d(1, d(B, d(E, T7)))), d(B, d(E, K7)))))), H7=d(P4, d(R3, d(d(A, d(d(2, d(1, Y4)), W4)), d(d(2, d(1, Y3)), L2)))), R7=d(P4, d(R3, d(d(A, d(d(2, d(1, d(B, L7))), X4)), d(d(2, d(1, A4)), d(B, d(E, L7)))))), T7=d(P4, d(R3, d(d(A, d(d(2, d(1, d(B, Q7))), V4)), d(d(2, d(1, W3)), d(B, d(E, Q7)))))), I7=d(Q4, K3), S5=d(Q4, d(E, d(C3, d(d(2, d(1, d(U1, d(R3, d(d(A, d(d(2, d(1, Z4)), d(B, N7))), d(d(2, d(1, d(B, d(E, N7)))), E4)))))), d(3, d(X, d(U1, d(R3, d(d(A, d(d(2, d(1, d(B, S7))), d(B, O7))), d(d(2, d(1, d(B, d(E, O7)))), d(B, d(E, S7))))))))))))]).
mm_proof(cadcoma, d(d(A, d(d(2, d(1, d(B, C))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(D, d(B, d(E, C))))-[F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, J)))), K=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, A))), N=d(2, d(1, O)), P=d(2, d(1, B)), Q=d(2, d(1, d(R, d(K, S)))), D=d(2, d(1, d(B, T))), R=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), U=d(2, d(1, d(B, V))), W=d(2, d(1, d(B, d(E, X)))), Y=d(2, d(1, Z)), A1=d(2, d(1, B1)), C1=d(2, d(1, D1)), E1=d(2, d(G, d(F, d(1, d(Q, O))))), F1=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, S))))), d(1, G1)))), H1=d(2, d(H, I1)), J1=d(3, d(H1, L)), K1=d(3, d(H1, d(d(2, d(1, d(2, d(H, d(I, I1))))), S))), O=d(d(2, 1), 1), L1=d(F, 1), S=d(F, O), M1=d(F, N1), L=d(H, S), O1=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), M1)))), S)), A=d(d(2, d(1, d(2, d(1, d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O1), G1=d(d(2, d(1, d(2, O))), S), I1=d(d(2, d(1, d(2, d(d(2, d(1, N)), M1)))), S), B=d(d(2, d(1, J1)), d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P1=d(d(2, d(1, K1)), d(B, d(d(3, d(3, d(1, Q1))), Q1))), R1=d(d(2, d(1, d(3, d(H1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(B, S1)))))), O1)))), S)))), M1)))), S)))))), S))))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N1=d(d(2, d(1, T1)), L), T1=d(d(2, d(H, d(K, O))), O), U1=d(d(2, d(H, d(K, d(d(2, d(G, d(F, d(1, d(R, 1))))), d(H, d(I, d(d(2, d(1, Q)), V1))))))), O), J=d(H1, O), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, B))))), S))), P1)))), S)), O), V1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W1=d(B, d(E, X1)), Y1=d(B, d(E, Z1)), A2=d(B, d(E, B2)), Z=d(B, d(E, C2)), B1=d(B, X1), D2=d(B, Z1), E2=d(B, F2), D1=d(B, B2), G2=d(B, X), H2=d(B, C2), Q1=d(T1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1)))), S))), O))), d(3, d(H1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H1, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(M, M1)))), S)))))), S)))))), M1)))), S))), O))))), S1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I2=d(E, d(d(A, d(d(2, d(1, d(B, J2))), G2)), d(W, d(B, d(E, J2))))), K2=d(d(A, R1), R1), C=d(d(A, d(D, d(B, L2))), d(d(2, d(1, d(B, d(E, L2)))), d(B, d(E, T)))), L2=d(d(A, d(d(2, d(1, d(B, M2))), d(B, N2))), d(d(2, d(1, d(B, d(E, N2)))), d(B, d(E, M2)))), M2=d(d(A, d(d(2, d(1, d(B, O2))), B1)), d(d(2, d(1, W1)), d(B, d(E, O2)))), P2=d(d(A, d(d(2, d(1, d(B, Q2))), d(B, R2))), d(d(2, d(1, d(B, d(E, R2)))), d(B, d(E, Q2)))), J2=d(d(A, d(d(2, d(1, d(B, S2))), D1)), d(d(2, d(1, A2)), d(B, d(E, S2)))), O2=d(d(A, d(A1, d(B, T2))), d(d(2, d(1, d(B, d(E, T2)))), W1)), Q2=d(d(A, d(d(2, d(1, E2)), D2)), d(d(2, d(1, Y1)), d(B, d(E, F2)))), S2=d(d(A, d(C1, G2)), d(W, A2)), U2=d(d(A, d(d(2, d(1, d(B, V2))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(U, d(B, d(E, V2)))), T2=d(d(A, d(d(2, d(H, d(K, d(E1, d(H, d(I, d(d(2, d(1, d(2, d(1, d(A1, d(Q, d(B, K2))))))), V1))))))), O)), d(d(2, d(H, d(K, d(E1, d(H, d(I, d(d(2, d(1, d(2, d(1, d(A1, d(Q, d(B, d(E, K2)))))))), V1))))))), O)), N2=d(d(A, d(d(2, d(H, d(K, d(E1, d(H, d(I, d(d(2, d(1, d(2, d(1, d(A1, d(Q, d(B, W2))))))), V1))))))), O)), d(d(2, d(H, d(K, d(E1, d(H, d(I, d(d(2, d(1, d(2, d(1, d(A1, d(Q, d(B, d(E, W2)))))))), V1))))))), O)), X1=d(d(A, U1), U1), X2=d(d(A, J), N1), Z1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(G, d(2, d(1, P1)))))))), S))), d(G, P))))), S)), O)), d(d(2, d(G, d(d(2, d(1, d(2, d(1, A)))), d(F1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), L1)))), S)))))), d(F1, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P1))), L1)))), S))))), F2=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(H, d(P, Y2))))))), S))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(C1, Y2))))), S)))), S)))))), S)), O)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(F, d(H, d(P, O))))))), S))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, d(C1, O))))), S)))), S)))))), S)), O)), B2=d(d(A, E), E), X=d(d(A, d(Y1, d(d(A, d(d(2, d(1, d(B, Z2))), H2)), d(Y, d(B, d(E, Z2)))))), d(Y1, d(d(A, d(d(2, d(1, d(B, A3))), H2)), d(Y, d(B, d(E, A3)))))), Y2=d(Y1, d(d(A, d(d(2, d(1, d(B, B3))), d(B, C3))), d(d(2, d(1, d(B, d(E, C3)))), d(B, d(E, B3))))), W2=d(d(B, d(d(A, d(d(2, d(1, d(B, I2))), d(B, P2))), d(d(2, d(1, d(B, d(E, P2)))), d(B, d(E, I2))))), d(1, d(d(A, d(U, d(B, U2))), d(d(2, d(1, d(B, d(E, U2)))), d(B, d(E, V)))))), Z2=d(D2, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A3=d(D2, d(1, S1)), D3=d(D2, d(1, d(E, X2))), B3=d(D2, d(1, X2)), R2=d(D2, d(1, F2)), C2=d(D2, O), C3=d(D2, d(Y1, d(d(A, d(d(2, d(1, H2)), d(B, D3))), d(d(2, d(1, d(B, d(E, D3)))), Z)))), V2=d(E2, B2)]).
mm_proof(cadcomb, d(d(A, d(B, d(C, D))), d(d(2, d(1, d(C, d(E, D)))), d(C, d(E, F))))-[G=d(1, H), I=d(1, J), K=d(1, L), M=d(1, N), O=d(2, d(1, 1)), P=d(2, d(1, 2)), Q=d(2, d(1, 3)), R=d(2, d(1, S)), T=d(2, d(1, d(2, d(1, U)))), V=d(2, d(1, d(2, W))), X=d(2, d(1, d(2, Y))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, C1)))), C1)))), C1)))), D1)))), C1)))))), C1))))), E1))), F1))))), G1)))), H1=d(2, d(1, d(2, A))), B1=d(2, d(1, d(2, I1))), J1=d(2, d(1, d(2, C))), K1=d(2, d(1, d(2, L1))), S=d(2, d(1, M1)), N1=d(2, d(1, Y)), O1=d(2, d(1, C)), P1=d(2, I), Q1=d(2, d(1, R1)), S1=d(2, d(1, d(C, T1))), U1=d(2, d(1, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), V1=d(2, d(1, W1)), X1=d(2, d(1, Y1)), B=d(2, d(1, d(C, F))), Z1=d(2, d(1, d(C, A2))), B2=d(2, d(1, d(C, d(E, d(d(A, d(C2, d(C, D2))), d(d(2, d(1, d(C, d(E, D2)))), E2)))))), F2=d(2, d(1, d(C, d(E, G2)))), H2=d(2, d(1, I2)), J2=d(2, d(1, d(C, K2))), L2=d(2, d(1, E2)), M2=d(2, d(1, d(C, d(E, N2)))), O2=d(2, d(1, d(C, d(E, P2)))), Q2=d(2, d(1, d(C, d(E, R2)))), S2=d(2, d(1, d(C, d(E, T2)))), U2=d(2, d(1, V2)), W2=d(2, d(1, X2)), C2=d(2, d(1, Y2)), Z2=d(2, d(1, d(C, A3))), B3=d(2, d(P, d(O, d(1, d(Q1, M1))))), C3=d(2, d(P, d(d(2, d(1, d(2, d(1, d(P, C1))))), G))), A1=d(2, d(Q, D3)), E3=d(3, d(A1, W)), F3=d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, D3))))), C1))), M1=d(d(2, 1), 1), G3=d(O, 1), H3=d(O, K), C1=d(O, M1), D1=d(O, I3), J3=d(O, R1), W=d(Q, C1), G1=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), D1)))), C1)), Y=d(d(2, d(1, d(2, d(1, d(S, F1))))), G1), A=d(d(2, d(1, d(2, d(1, d(F3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1), H=d(d(2, d(1, d(2, M1))), C1), D3=d(d(2, d(1, d(2, d(R, D1)))), C1), I1=d(X, C1), C=d(d(2, d(1, E3)), d(E3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, F3)), K3), J=d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C1))), D1)))), C1)))))), C1))))), E1), L3=d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(B1, D1)))), C1)))))), C1))))), E1), I3=d(d(2, d(1, M3)), W), L=d(V1, 1), R1=d(V1, d(V, C1)), M3=d(d(2, d(Q, d(V, M1))), M1), N3=d(d(2, d(Q, d(V, d(d(2, d(P, H3)), d(Q, d(T, d(d(2, d(1, Q1)), O3))))))), M1), P3=d(d(2, d(Q, d(V, d(d(2, d(P, d(O, d(1, d(W2, d(Q1, R1)))))), d(Q, d(T, d(d(2, d(1, d(2, d(1, d(d(2, d(Q, d(V, d(B3, d(Q, d(T, d(d(2, d(1, d(2, d(1, d(W2, d(Q1, L)))))), O3))))))), M1))))), O3))))))), M1), U=d(A1, M1), Q3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(O, d(J1, C1)))))), C1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, G3)))), C1))), 1)))), C1))))), C1)), M1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(O, C))))), C1))), L1)))), C1)), M1), R3=d(d(3, d(3, d(1, S3))), S3), T3=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U3=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O3=d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K3=d(C, R3), F1=d(C, V3), W1=d(C, W3), X3=d(C, d(E, T1)), Y3=d(C, d(E, Z3)), Y1=d(C, Z3), A4=d(C, d(E, B4)), C4=d(C, D4), I2=d(C, d(E, E4)), F4=d(C, d(E, G4)), H4=d(C, I4), E2=d(C, d(E, J4)), K4=d(C, d(E, L4)), M4=d(C, d(E, N4)), O4=d(C, d(E, P4)), Q4=d(C, d(E, A3)), V2=d(C, d(E, R4)), S4=d(C, d(E, T4)), U4=d(C, N), V4=d(C, B4), W4=d(C, d(d(A, d(d(2, d(1, d(C, X4))), d(C, Y4))), d(d(2, d(1, d(C, d(E, Y4)))), d(C, d(E, X4))))), Z4=d(C, G2), X2=d(C, E4), A5=d(C, B5), C5=d(C, G4), D5=d(C, E5), Y2=d(C, J4), F5=d(C, N2), G5=d(C, P2), H5=d(C, R2), I5=d(C, T2), J5=d(C, L4), K5=d(C, N4), L5=d(C, P4), M5=d(C, R4), N5=d(C, T4), S3=d(M3, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), C1))), M1))), d(3, d(A1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(H1, D1)))), C1)))))), C1)))))), D1)))), C1))), M1))))), T1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z3=d(E, N), D4=d(E, O5), F=d(E, P5), Q5=d(E, d(d(A, d(d(2, d(1, d(C, R5))), d(C, S5))), d(d(2, d(1, d(C, d(E, S5)))), d(C, d(E, R5))))), A2=d(E, T5), R5=d(E, d(d(A, d(d(2, d(1, d(C, U5))), Y2)), d(L2, d(C, d(E, U5))))), V5=d(E, d(d(A, d(d(2, d(1, d(C, W5))), G5)), d(O2, d(C, d(E, W5))))), S5=d(E, d(d(A, d(d(2, d(1, d(C, X5))), d(C, Y5))), d(d(2, d(1, d(C, d(E, Y5)))), d(C, d(E, X5))))), Z5=d(E, d(d(A, d(d(2, d(1, d(C, A6))), I5)), d(S2, d(C, d(E, A6))))), B6=d(E, d(d(A, d(d(2, d(1, d(C, C6))), U3)), d(U1, d(C, d(E, C6))))), D6=d(E, d(d(A, d(d(2, d(1, d(C, E6))), Z4)), d(F2, d(C, d(E, E6))))), X4=d(E, d(d(A, d(d(2, d(1, d(C, F6))), F5)), d(M2, d(C, d(E, F6))))), G6=d(E, d(d(A, d(d(2, d(1, d(C, H6))), X2)), d(H2, d(C, d(E, H6))))), I6=d(E, d(d(A, d(d(2, d(1, d(C, J6))), A5)), d(J2, d(C, d(E, J6))))), K2=d(E, B5), I4=d(E, E5), K6=d(E, d(d(A, d(F4, d(d(A, d(Z2, M5)), d(U2, Q4)))), d(F4, d(d(A, d(d(2, d(1, K5)), M5)), d(U2, M4))))), L6=d(E, d(d(C, d(d(A, d(C2, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, H3)))), C1))), d(d(2, d(1, d(2, d(d(2, d(Q, d(V, d(d(2, d(P, d(O, G))), d(Q, d(T, d(d(2, d(1, d(2, d(1, d(R, C1))))), O3))))))), M1)))), C1))))), C1)), M1))), d(d(2, d(1, d(2, d(K1, J3)))), C1))), d(Q1, J))), N=d(d(A, L3), L3), B4=d(d(A, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(Q, d(V, d(d(2, d(P, d(O, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q1, F1))))), G1)))), C1))))), d(Q, d(T, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, K), F1))))), G1)))), C1))))), O3))))))), M1)))), C1)))), D1)))), C1)))))), C1))))), E1)), d(d(2, d(Q, d(V, d(d(2, d(P, d(O, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(O, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J3))), D1)))), C1)))))), C1))))), E1))), F1))))), G1)))), C1)))), D1)))), C1)))))), C1))))), E1)))))), C1))), J)), M1))))), d(Q, d(T, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(O, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, L)))), D1)))), C1)))))), C1))))), E1))), F1))))), G1)))), C1)))), D1)))), C1)))))), C1))))), E1)))))), C1))), J)), M1))))), O3))))))), M1)), O5=d(d(A, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C3, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, I1)), F1))))), G1)))))), C1)))), D1)))), C1)))))), C1))))), E1)))), D1)))), C1)))))), C1))))), E1)), d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C3, d(O, d(d(2, d(1, d(2, d(C3, d(O, d(d(2, d(1, d(2, d(1, d(N1, F1))))), G1)))))), C1)))))), C1)))), D1)))), C1)))))), C1))))), E1)))), C1)))), D1)))), C1)))))), C1))))), E1)), M6=d(d(A, d(S1, d(C, N6))), d(d(2, d(1, d(C, d(E, N6)))), X3)), P5=d(d(A, d(S1, d(C, O6))), d(d(2, d(1, d(C, d(E, O6)))), X3)), U5=d(d(A, d(d(2, d(1, F1)), K3)), d(d(2, d(1, d(C, d(E, R3)))), d(C, d(E, V3)))), P6=d(d(A, d(V1, d(C, Q6))), d(d(2, d(1, d(C, d(E, Q6)))), d(C, d(E, W3)))), R6=d(d(A, d(X1, d(C, S6))), d(d(2, d(1, d(C, d(E, S6)))), Y3)), T6=d(d(A, d(X1, G5)), d(O2, Y3)), U6=d(d(A, d(X1, d(C, V6))), d(d(2, d(1, d(C, d(E, V6)))), Y3)), W6=d(d(A, d(X1, H5)), d(Q2, Y3)), X6=d(d(A, d(X1, d(C, Y6))), d(d(2, d(1, d(C, d(E, Y6)))), Y3)), Z6=d(d(A, d(X1, d(C, A7))), d(d(2, d(1, d(C, d(E, A7)))), Y3)), B7=d(d(A, d(X1, I5)), d(S2, Y3)), S6=d(d(A, d(d(2, d(1, C4)), d(C, C7))), d(d(2, d(1, d(C, d(E, C7)))), d(C, d(E, D4)))), D7=d(d(A, d(d(2, d(1, d(C, Q5))), d(C, I6))), d(d(2, d(1, d(C, d(E, I6)))), d(C, d(E, Q5)))), E7=d(d(A, d(Z1, d(C, F7))), d(d(2, d(1, d(C, d(E, F7)))), d(C, d(E, A2)))), G7=d(d(A, d(d(2, d(1, d(C, V5))), d(C, H7))), d(d(2, d(1, d(C, d(E, H7)))), d(C, d(E, V5)))), I7=d(d(A, d(d(2, d(1, d(C, Z5))), d(C, J7))), d(d(2, d(1, d(C, d(E, J7)))), d(C, d(E, Z5)))), K7=d(d(A, d(d(2, d(1, d(C, B6))), d(C, L7))), d(d(2, d(1, d(C, d(E, L7)))), d(C, d(E, B6)))), M7=d(d(A, d(d(2, d(1, d(C, D6))), V4)), d(d(2, d(1, A4)), d(C, d(E, D6)))), N7=d(d(A, d(d(2, d(1, d(C, G6))), U3)), d(U1, d(C, d(E, G6)))), D2=d(d(A, d(d(2, d(1, d(C, K6))), D5)), d(d(2, d(1, H4)), d(C, d(E, K6)))), T5=d(d(A, d(d(2, d(1, d(C, O5))), T3)), d(S1, C4)), O7=d(d(A, d(d(2, d(1, d(C, M6))), T3)), d(S1, d(C, d(E, M6)))), L7=d(d(A, d(d(2, d(1, d(C, P6))), O3)), d(V1, d(C, d(E, P6)))), F7=d(d(A, d(d(2, d(1, d(C, R6))), d(C, T5))), d(Z1, d(C, d(E, R6)))), W5=d(d(A, d(d(2, d(1, d(C, T6))), U4)), d(X1, d(C, d(E, T6)))), X5=d(d(A, d(d(2, d(1, d(C, U6))), U4)), d(X1, d(C, d(E, U6)))), P7=d(d(A, d(d(2, d(1, d(C, W6))), U4)), d(X1, d(C, d(E, W6)))), Q7=d(d(A, d(d(2, d(1, d(C, X6))), U4)), d(X1, d(C, d(E, X6)))), R7=d(d(A, d(d(2, d(1, d(C, Z6))), U4)), d(X1, d(C, d(E, Z6)))), A6=d(d(A, d(d(2, d(1, d(C, B7))), U4)), d(X1, d(C, d(E, B7)))), S7=d(d(A, d(d(2, d(1, d(C, D7))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(E, D7)))), J7=d(d(A, d(d(2, d(1, d(C, G7))), O3)), d(V1, d(C, d(E, G7)))), T7=d(d(A, d(d(2, d(1, d(C, I7))), X2)), d(H2, d(C, d(E, I7)))), U7=d(d(A, d(d(2, d(1, d(C, K7))), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(C, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(C, d(E, K7)))), V7=d(d(A, d(d(2, d(1, d(C, N7))), d(C, U7))), d(d(2, d(1, d(C, d(E, U7)))), d(C, d(E, N7)))), W7=d(d(A, d(d(2, d(1, d(C, O7))), d(C, E7))), d(d(2, d(1, d(C, d(E, E7)))), d(C, d(E, O7)))), X7=d(d(A, d(d(2, d(1, d(C, Q7))), d(C, Y7))), d(d(2, d(1, d(C, d(E, Y7)))), d(C, d(E, Q7)))), N6=d(d(A, d(d(2, d(1, d(C, R7))), I5)), d(S2, d(C, d(E, R7)))), D=d(d(A, d(d(2, d(1, d(C, W7))), d(C, P5))), d(B, d(C, d(E, W7)))), Z7=d(d(A, d(d(2, d(1, d(C, X7))), d(C, T7))), d(d(2, d(1, d(C, d(E, T7)))), d(C, d(E, X7)))), O6=d(d(A, d(d(2, d(1, d(C, Z7))), d(C, V7))), d(d(2, d(1, d(C, d(E, V7)))), d(C, d(E, Z7)))), C6=d(d(A, d(d(2, d(1, d(C, A8))), X2)), d(H2, d(C, d(E, A8)))), E6=d(d(A, d(d(2, d(1, d(C, B8))), X2)), d(H2, d(C, d(E, B8)))), Y4=d(d(A, d(d(2, d(1, d(C, C8))), d(C, D8))), d(d(2, d(1, d(C, d(E, D8)))), d(C, d(E, C8)))), F6=d(d(A, d(d(2, d(1, d(C, E8))), Y2)), d(L2, d(C, d(E, E8)))), A8=d(d(A, d(d(2, d(1, d(C, F8))), d(C, G8))), d(d(2, d(1, d(C, d(E, G8)))), d(C, d(E, F8)))), B8=d(d(A, d(W2, Z4)), d(F2, I2)), H6=d(d(A, d(W2, d(C, H8))), d(d(2, d(1, d(C, d(E, H8)))), I2)), C8=d(d(A, d(d(2, d(1, D5)), C5)), d(d(2, d(1, F4)), H4)), E8=d(d(A, d(C2, F5)), d(M2, E2)), G2=d(d(A, d(d(2, d(Q, d(V, d(B3, d(Q, d(T, d(d(2, d(1, d(2, d(1, d(W2, d(Q1, U4)))))), O3))))))), M1)), d(d(2, d(Q, d(V, d(B3, d(Q, d(T, d(d(2, d(1, d(2, d(1, d(W2, d(Q1, Y1)))))), O3))))))), M1)), H8=d(d(A, d(d(2, d(Q, d(V, d(B3, d(Q, d(T, d(d(2, d(1, d(2, d(1, d(W2, d(Q1, V4)))))), O3))))))), M1)), d(d(2, d(Q, d(V, d(B3, d(Q, d(T, d(d(2, d(1, d(2, d(1, d(W2, d(Q1, A4)))))), O3))))))), M1)), F8=d(d(A, d(d(2, d(Q, d(V, d(B3, d(Q, d(T, d(d(2, d(1, d(2, d(1, d(W2, d(Q1, X2)))))), O3))))))), M1)), d(d(2, d(Q, d(V, d(B3, d(Q, d(T, d(d(2, d(1, d(2, d(1, d(W2, d(Q1, I2)))))), O3))))))), M1)), E4=d(d(A, N3), N3), G8=d(d(A, P3), P3), B5=d(d(A, U), I3), G4=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(O, d(P, d(2, d(1, L1)))))))), C1))), d(P, O1))))), C1)), M1)), d(d(2, d(P, d(d(2, d(1, d(2, d(1, A)))), d(C3, d(O, d(d(2, d(1, d(2, d(J1, G3)))), C1)))))), d(C3, d(O, d(d(2, d(1, d(2, d(K1, G3)))), C1))))), E5=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(O, d(Q, d(O1, I8))))))), C1))), d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O1, d(C2, I8))))), C1)))), C1)))))), C1)), M1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(O, d(Q, d(O1, M1))))))), C1))), d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O1, d(C2, M1))))), C1)))), C1)))))), C1)), M1)), J4=d(d(A, E), E), H7=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(X, d(O, d(2, d(1, d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P1, F1))))), G1)))), C1)))), D1)))), C1)))))), C1))))), E1)))))))), C1))), P1)), M1)), d(d(2, d(1, d(3, d(A1, d(d(2, d(1, d(2, d(Q, d(T, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, N1)))), D1)))), C1)))))), C1))))), E1)), N2=d(d(A, d(F4, d(d(A, d(d(2, d(1, d(C, J8))), M5)), d(U2, d(C, d(E, J8)))))), d(F4, d(d(A, d(d(2, d(1, d(C, K8))), M5)), d(U2, d(C, d(E, K8)))))), L8=d(F4, d(d(A, d(d(2, d(1, d(C, M8))), N5)), d(d(2, d(1, S4)), d(C, d(E, M8))))), I8=d(F4, d(d(A, d(Z2, d(C, N8))), d(d(2, d(1, d(C, d(E, N8)))), Q4))), P2=d(W4, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V6=d(W4, d(1, d(E, d(d(A, d(d(2, d(1, O3)), X2)), d(H2, W1))))), R2=d(W4, d(1, d(d(A, M1), M1))), C7=d(W4, M), Y7=d(W4, d(1, d(d(A, d(d(2, d(1, d(C, L6))), X2)), d(H2, d(C, d(E, L6)))))), Y6=d(W4, d(1, J7)), A7=d(W4, d(1, d(d(A, d(d(2, d(1, d(C, P7))), H5)), d(Q2, d(C, d(E, P7)))))), Y5=d(W4, d(1, d(d(A, d(d(2, d(1, d(C, O8))), A5)), d(J2, d(C, d(E, O8)))))), T2=d(W4, d(1, E4)), J8=d(C5, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K8=d(C5, d(1, V3)), L4=d(C5, d(1, Z3)), P8=d(C5, d(1, d(E, d(d(A, d(X1, d(C, S7))), d(d(2, d(1, d(C, d(E, S7)))), Y3))))), N4=d(C5, d(1, K2)), M8=d(C5, d(1, I4)), P4=d(C5, M), Q8=d(C5, d(1, d(d(A, d(d(2, d(1, d(C, M7))), U4)), d(X1, d(C, d(E, M7)))))), A3=d(C5, d(1, B5)), D8=d(C5, d(1, E5)), R4=d(C5, M1), R8=d(C5, d(d(2, d(1, W4)), d(O, d(C2, d(C2, d(C2, d(F4, d(d(A, d(d(2, d(1, d(C, P8))), d(C, S8))), d(d(2, d(1, d(C, d(E, S8)))), d(C, d(E, P8))))))))))), T8=d(C5, d(C2, d(B2, d(C2, Q3)))), U8=d(C5, d(C2, d(B2, d(C2, L8)))), V8=d(C5, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(O, I))))), C1))), I1)))), C1)), M1)), T4=d(C5, Q3), W8=d(C5, d(F4, d(d(A, d(d(2, d(1, J5)), d(C, X8))), d(d(2, d(1, d(C, d(E, X8)))), K4)))), Y8=d(C5, L8), S8=d(C5, d(F4, d(d(A, d(d(2, d(1, L5)), d(C, V8))), d(d(2, d(1, d(C, d(E, V8)))), O4)))), Q6=d(C5, d(F4, d(d(A, d(d(2, d(1, d(C, Q8))), d(C, Z8))), d(d(2, d(1, d(C, d(E, Z8)))), d(C, d(E, Q8)))))), N8=d(C5, d(F4, d(d(A, d(d(2, d(1, M5)), K5)), d(d(2, d(1, M4)), V2)))), X8=d(C5, d(F4, d(d(A, d(d(2, d(1, d(C, R8))), L5)), d(d(2, d(1, O4)), d(C, d(E, R8)))))), Z8=d(C5, d(F4, d(d(A, d(d(2, d(1, d(C, W8))), J5)), d(d(2, d(1, K4)), d(C, d(E, W8)))))), O8=d(D5, V3), J6=d(D5, d(E, d(M3, d(d(2, d(1, d(C2, d(F4, d(d(A, d(d(2, d(1, N5)), d(C, T8))), d(d(2, d(1, d(C, d(E, T8)))), S4)))))), d(3, d(A1, d(C2, d(F4, d(d(A, d(d(2, d(1, d(C, Y8))), d(C, U8))), d(d(2, d(1, d(C, d(E, U8)))), d(C, d(E, Y8))))))))))))]).
mm_proof(cadrot, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(1, I), J=d(1, K), L=d(1, M), N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, R)), S=d(2, d(1, d(2, d(1, T)))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, X))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, B1)))), B1)))), B1)))), C1)))), B1)))))), B1))))), D1))), E1))))), F1)))), G1=d(2, d(1, d(2, A))), A1=d(2, d(1, d(2, H1))), I1=d(2, d(1, d(2, B))), J1=d(2, d(1, d(2, K1))), R=d(2, d(1, L1)), M1=d(2, d(1, X)), N1=d(2, d(1, B)), O1=d(2, H), P1=d(2, d(1, Q1)), R1=d(2, d(1, d(B, S1))), T1=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), U1=d(2, d(1, d(B, V1))), W1=d(2, d(1, X1)), Y1=d(2, d(1, d(B, Z1))), A2=d(2, d(1, B2)), C2=d(2, d(1, d(B, D2))), E2=d(2, d(1, d(B, F2))), G2=d(2, d(1, d(B, d(E, d(d(A, d(H2, d(B, I2))), d(d(2, d(1, d(B, d(E, I2)))), J2)))))), K2=d(2, d(1, d(B, d(E, L2)))), M2=d(2, d(1, N2)), O2=d(2, d(1, d(B, P2))), Q2=d(2, d(1, J2)), R2=d(2, d(1, d(B, d(E, S2)))), T2=d(2, d(1, d(B, d(E, U2)))), V2=d(2, d(1, d(B, d(E, W2)))), X2=d(2, d(1, d(B, d(E, Y2)))), Z2=d(2, d(1, A3)), B3=d(2, d(1, d(B, C3))), D3=d(2, d(1, E3)), H2=d(2, d(1, F3)), G3=d(2, d(1, d(B, H3))), I3=d(2, d(O, d(N, d(1, d(P1, L1))))), J3=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, B1))))), F))), Z=d(2, d(P, K3)), L3=d(3, d(Z, V)), M3=d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, K3))))), B1))), L1=d(d(2, 1), 1), N3=d(N, 1), O3=d(N, J), B1=d(N, L1), C1=d(N, P3), Q3=d(N, Q1), V=d(P, B1), F1=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), C1)))), B1)), X=d(d(2, d(1, d(2, d(1, d(R, E1))))), F1), A=d(d(2, d(1, d(2, d(1, d(M3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1), G=d(d(2, d(1, d(2, L1))), B1), K3=d(d(2, d(1, d(2, d(Q, C1)))), B1), H1=d(W, B1), B=d(d(2, d(1, L3)), d(L3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, M3)), R3), I=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), C1)))), B1)))))), B1))))), D1), S3=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(A1, C1)))), B1)))))), B1))))), D1), P3=d(d(2, d(1, T3)), V), K=d(W1, 1), Q1=d(W1, d(U, B1)), T3=d(d(2, d(P, d(U, L1))), L1), U3=d(d(2, d(P, d(U, d(d(2, d(O, O3)), d(P, d(S, d(d(2, d(1, P1)), V3))))))), L1), W3=d(d(2, d(P, d(U, d(d(2, d(O, d(N, d(1, d(D3, d(P1, Q1)))))), d(P, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, K)))))), V3))))))), L1))))), V3))))))), L1), T=d(Z, L1), X3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, d(I1, B1)))))), B1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, N3)))), B1))), 1)))), B1))))), B1)), L1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, B))))), B1))), K1)))), B1)), L1), Y3=d(d(3, d(3, d(1, Z3))), Z3), A4=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B4=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C4=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D4=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R3=d(B, Y3), E1=d(B, E4), X1=d(B, F4), G4=d(B, d(E, S1)), H4=d(B, d(E, I4)), B2=d(B, I4), J4=d(B, d(E, K4)), L4=d(B, M4), N4=d(B, d(E, C3)), N2=d(B, d(E, O4)), P4=d(B, d(E, Q4)), R4=d(B, S4), J2=d(B, d(E, T4)), U4=d(B, d(E, V4)), W4=d(B, d(E, X4)), Y4=d(B, d(E, Z4)), A5=d(B, d(E, H3)), A3=d(B, d(E, B5)), C5=d(B, d(E, D5)), E5=d(B, M), F5=d(B, K4), G5=d(B, d(d(A, d(d(2, d(1, d(B, H5))), d(B, I5))), d(d(2, d(1, d(B, d(E, I5)))), d(B, d(E, H5))))), J5=d(B, L2), E3=d(B, O4), K5=d(B, L5), M5=d(B, Q4), N5=d(B, O5), F3=d(B, T4), P5=d(B, S2), Q5=d(B, U2), R5=d(B, W2), S5=d(B, Y2), T5=d(B, V4), U5=d(B, X4), V5=d(B, Z4), W5=d(B, B5), X5=d(B, D5), Z3=d(T3, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), B1))), L1))), d(3, d(Z, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(G1, C1)))), B1)))))), B1)))))), C1)))), B1))), L1))))), S1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E4=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F4=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I4=d(E, M), M4=d(E, Y5), D2=d(E, Z5), A6=d(E, d(d(A, d(d(2, d(1, d(B, B6))), d(B, C6))), d(d(2, d(1, d(B, d(E, C6)))), d(B, d(E, B6))))), F2=d(E, D6), B6=d(E, d(d(A, d(d(2, d(1, d(B, E6))), F3)), d(Q2, d(B, d(E, E6))))), F6=d(E, d(d(A, d(d(2, d(1, d(B, G6))), Q5)), d(T2, d(B, d(E, G6))))), C6=d(E, d(d(A, d(d(2, d(1, d(B, H6))), d(B, I6))), d(d(2, d(1, d(B, d(E, I6)))), d(B, d(E, H6))))), J6=d(E, d(d(A, d(d(2, d(1, d(B, K6))), S5)), d(X2, d(B, d(E, K6))))), L6=d(E, d(d(A, d(d(2, d(1, d(B, M6))), B4)), d(T1, d(B, d(E, M6))))), N6=d(E, d(d(A, d(B3, J5)), d(K2, N4))), H5=d(E, d(d(A, d(d(2, d(1, d(B, O6))), P5)), d(R2, d(B, d(E, O6))))), P6=d(E, d(d(A, d(d(2, d(1, d(B, Q6))), E3)), d(M2, d(B, d(E, Q6))))), R6=d(E, d(d(A, d(d(2, d(1, d(B, S6))), K5)), d(O2, d(B, d(E, S6))))), P2=d(E, L5), S4=d(E, O5), T6=d(E, d(d(A, d(P4, d(d(A, d(G3, W5)), d(Z2, A5)))), d(P4, d(d(A, d(d(2, d(1, U5)), W5)), d(Z2, W4))))), U6=d(E, d(d(B, d(d(A, d(H2, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, O3)))), B1))), d(d(2, d(1, d(2, d(d(2, d(P, d(U, d(d(2, d(O, d(N, F))), d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q, B1))))), V3))))))), L1)))), B1))))), B1)), L1))), d(d(2, d(1, d(2, d(J1, Q3)))), B1))), d(P1, I))), M=d(d(A, S3), S3), K4=d(d(A, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(P, d(U, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P1, E1))))), F1)))), B1))))), d(P, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, J), E1))))), F1)))), B1))))), V3))))))), L1)))), B1)))), C1)))), B1)))))), B1))))), D1)), d(d(2, d(P, d(U, d(d(2, d(O, d(N, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(N, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q3))), C1)))), B1)))))), B1))))), D1))), E1))))), F1)))), B1)))), C1)))), B1)))))), B1))))), D1)))))), B1))), I)), L1))))), d(P, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(N, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, K)))), C1)))), B1)))))), B1))))), D1))), E1))))), F1)))), B1)))), C1)))), B1)))))), B1))))), D1)))))), B1))), I)), L1))))), V3))))))), L1)), Y5=d(d(A, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J3, d(N, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H1)), E1))))), F1)))))), B1)))), C1)))), B1)))))), B1))))), D1)))), C1)))), B1)))))), B1))))), D1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(J3, d(N, d(d(2, d(1, d(2, d(J3, d(N, d(d(2, d(1, d(2, d(1, d(M1, E1))))), F1)))))), B1)))))), B1)))), C1)))), B1)))))), B1))))), D1)))), B1)))), C1)))), B1)))))), B1))))), D1)), V6=d(d(A, d(R1, d(B, W6))), d(d(2, d(1, d(B, d(E, W6)))), G4)), Z5=d(d(A, d(R1, d(B, X6))), d(d(2, d(1, d(B, d(E, X6)))), G4)), E6=d(d(A, d(d(2, d(1, E1)), R3)), d(d(2, d(1, d(B, d(E, Y3)))), d(B, d(E, E4)))), Y6=d(d(A, d(U1, d(B, Z6))), d(d(2, d(1, d(B, d(E, Z6)))), d(B, d(E, V1)))), A7=d(d(A, d(W1, d(B, B7))), d(d(2, d(1, d(B, d(E, B7)))), d(B, d(E, F4)))), C7=d(d(A, d(A2, d(B, D7))), d(d(2, d(1, d(B, d(E, D7)))), H4)), E7=d(d(A, d(A2, Q5)), d(T2, H4)), F7=d(d(A, d(A2, d(B, G7))), d(d(2, d(1, d(B, d(E, G7)))), H4)), H7=d(d(A, d(A2, R5)), d(V2, H4)), I7=d(d(A, d(A2, d(B, J7))), d(d(2, d(1, d(B, d(E, J7)))), H4)), K7=d(d(A, d(A2, d(B, L7))), d(d(2, d(1, d(B, d(E, L7)))), H4)), M7=d(d(A, d(A2, S5)), d(X2, H4)), D7=d(d(A, d(d(2, d(1, L4)), d(B, N7))), d(d(2, d(1, d(B, d(E, N7)))), d(B, d(E, M4)))), C=d(d(A, d(C2, d(B, O7))), d(d(2, d(1, d(B, d(E, O7)))), d(B, d(E, D2)))), P7=d(d(A, d(d(2, d(1, d(B, A6))), d(B, R6))), d(d(2, d(1, d(B, d(E, R6)))), d(B, d(E, A6)))), Q7=d(d(A, d(E2, d(B, R7))), d(d(2, d(1, d(B, d(E, R7)))), d(B, d(E, F2)))), S7=d(d(A, d(d(2, d(1, d(B, F6))), d(B, T7))), d(d(2, d(1, d(B, d(E, T7)))), d(B, d(E, F6)))), U7=d(d(A, d(d(2, d(1, d(B, J6))), d(B, V7))), d(d(2, d(1, d(B, d(E, V7)))), d(B, d(E, J6)))), W7=d(d(A, d(d(2, d(1, d(B, L6))), d(B, X7))), d(d(2, d(1, d(B, d(E, X7)))), d(B, d(E, L6)))), Y7=d(d(A, d(d(2, d(1, d(B, N6))), F5)), d(d(2, d(1, J4)), d(B, d(E, N6)))), Z7=d(d(A, d(d(2, d(1, d(B, P6))), B4)), d(T1, d(B, d(E, P6)))), I2=d(d(A, d(d(2, d(1, d(B, T6))), N5)), d(d(2, d(1, R4)), d(B, d(E, T6)))), D6=d(d(A, d(d(2, d(1, d(B, Y5))), A4)), d(R1, L4)), A8=d(d(A, d(d(2, d(1, d(B, V6))), A4)), d(R1, d(B, d(E, V6)))), D=d(d(A, d(d(2, d(1, d(B, Y6))), C4)), d(U1, d(B, d(E, Y6)))), X7=d(d(A, d(d(2, d(1, d(B, A7))), V3)), d(W1, d(B, d(E, A7)))), R7=d(d(A, d(d(2, d(1, d(B, C7))), d(B, D6))), d(E2, d(B, d(E, C7)))), G6=d(d(A, d(d(2, d(1, d(B, E7))), E5)), d(A2, d(B, d(E, E7)))), H6=d(d(A, d(d(2, d(1, d(B, F7))), E5)), d(A2, d(B, d(E, F7)))), B8=d(d(A, d(d(2, d(1, d(B, H7))), E5)), d(A2, d(B, d(E, H7)))), C8=d(d(A, d(d(2, d(1, d(B, I7))), E5)), d(A2, d(B, d(E, I7)))), D8=d(d(A, d(d(2, d(1, d(B, K7))), E5)), d(A2, d(B, d(E, K7)))), K6=d(d(A, d(d(2, d(1, d(B, M7))), E5)), d(A2, d(B, d(E, M7)))), E8=d(d(A, d(d(2, d(1, d(B, P7))), D4)), d(Y1, d(B, d(E, P7)))), V7=d(d(A, d(d(2, d(1, d(B, S7))), V3)), d(W1, d(B, d(E, S7)))), F8=d(d(A, d(d(2, d(1, d(B, U7))), E3)), d(M2, d(B, d(E, U7)))), G8=d(d(A, d(d(2, d(1, d(B, W7))), C4)), d(U1, d(B, d(E, W7)))), H8=d(d(A, d(d(2, d(1, d(B, Z7))), d(B, G8))), d(d(2, d(1, d(B, d(E, G8)))), d(B, d(E, Z7)))), I8=d(d(A, d(d(2, d(1, d(B, A8))), d(B, Q7))), d(d(2, d(1, d(B, d(E, Q7)))), d(B, d(E, A8)))), J8=d(d(A, d(d(2, d(1, d(B, C8))), d(B, K8))), d(d(2, d(1, d(B, d(E, K8)))), d(B, d(E, C8)))), W6=d(d(A, d(d(2, d(1, d(B, D8))), S5)), d(X2, d(B, d(E, D8)))), O7=d(d(A, d(d(2, d(1, d(B, I8))), d(B, Z5))), d(C2, d(B, d(E, I8)))), L8=d(d(A, d(d(2, d(1, d(B, J8))), d(B, F8))), d(d(2, d(1, d(B, d(E, F8)))), d(B, d(E, J8)))), X6=d(d(A, d(d(2, d(1, d(B, L8))), d(B, H8))), d(d(2, d(1, d(B, d(E, H8)))), d(B, d(E, L8)))), Z6=d(d(A, d(B3, d(B, M8))), d(d(2, d(1, d(B, d(E, M8)))), N4)), M6=d(d(A, d(d(2, d(1, d(B, N8))), E3)), d(M2, d(B, d(E, N8)))), C3=d(d(A, d(d(2, d(1, d(B, O8))), E3)), d(M2, d(B, d(E, O8)))), I5=d(d(A, d(d(2, d(1, d(B, P8))), d(B, Q8))), d(d(2, d(1, d(B, d(E, Q8)))), d(B, d(E, P8)))), O6=d(d(A, d(d(2, d(1, d(B, R8))), F3)), d(Q2, d(B, d(E, R8)))), N8=d(d(A, d(d(2, d(1, d(B, S8))), d(B, T8))), d(d(2, d(1, d(B, d(E, T8)))), d(B, d(E, S8)))), O8=d(d(A, d(D3, J5)), d(K2, N2)), Q6=d(d(A, d(D3, d(B, U8))), d(d(2, d(1, d(B, d(E, U8)))), N2)), P8=d(d(A, d(d(2, d(1, N5)), M5)), d(d(2, d(1, P4)), R4)), R8=d(d(A, d(H2, P5)), d(R2, J2)), V8=d(d(A, d(d(2, d(1, d(B, W8))), D4)), d(Y1, d(B, d(E, W8)))), L2=d(d(A, d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, E5)))))), V3))))))), L1)), d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, B2)))))), V3))))))), L1)), U8=d(d(A, d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, F5)))))), V3))))))), L1)), d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, J4)))))), V3))))))), L1)), S8=d(d(A, d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, E3)))))), V3))))))), L1)), d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, N2)))))), V3))))))), L1)), M8=d(d(A, d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, d(B, X8))))))), V3))))))), L1)), d(d(2, d(P, d(U, d(I3, d(P, d(S, d(d(2, d(1, d(2, d(1, d(D3, d(P1, d(B, d(E, X8)))))))), V3))))))), L1)), O4=d(d(A, U3), U3), T8=d(d(A, W3), W3), L5=d(d(A, T), P3), Q4=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, d(O, d(2, d(1, K1)))))))), B1))), d(O, N1))))), B1)), L1)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, A)))), d(J3, d(N, d(d(2, d(1, d(2, d(I1, N3)))), B1)))))), d(J3, d(N, d(d(2, d(1, d(2, d(J1, N3)))), B1))))), O5=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, d(P, d(N1, Y8))))))), B1))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N1, d(H2, Y8))))), B1)))), B1)))))), B1)), L1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, d(P, d(N1, L1))))))), B1))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N1, d(H2, L1))))), B1)))), B1)))))), B1)), L1)), T4=d(d(A, E), E), T7=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(N, d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O1, E1))))), F1)))), B1)))), C1)))), B1)))))), B1))))), D1)))))))), B1))), O1)), L1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, M1)))), C1)))), B1)))))), B1))))), D1)), S2=d(d(A, d(P4, d(d(A, d(d(2, d(1, d(B, Z8))), W5)), d(Z2, d(B, d(E, Z8)))))), d(P4, d(d(A, d(d(2, d(1, d(B, A9))), W5)), d(Z2, d(B, d(E, A9)))))), B9=d(P4, d(d(A, d(d(2, d(1, d(B, C9))), X5)), d(d(2, d(1, C5)), d(B, d(E, C9))))), Y8=d(P4, d(d(A, d(G3, d(B, D9))), d(d(2, d(1, d(B, d(E, D9)))), A5))), U2=d(G5, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G7=d(G5, d(1, d(E, d(d(A, d(d(2, d(1, V3)), E3)), d(M2, X1))))), W2=d(G5, d(1, d(d(A, L1), L1))), N7=d(G5, L), X8=d(G5, d(1, d(d(A, d(Y1, d(B, V8))), d(d(2, d(1, d(B, d(E, V8)))), d(B, d(E, Z1)))))), K8=d(G5, d(1, d(d(A, d(d(2, d(1, d(B, U6))), E3)), d(M2, d(B, d(E, U6)))))), J7=d(G5, d(1, V7)), L7=d(G5, d(1, d(d(A, d(d(2, d(1, d(B, B8))), R5)), d(V2, d(B, d(E, B8)))))), I6=d(G5, d(1, d(d(A, d(d(2, d(1, d(B, E9))), K5)), d(O2, d(B, d(E, E9)))))), Y2=d(G5, d(1, O4)), Z8=d(M5, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A9=d(M5, d(1, E4)), V4=d(M5, d(1, I4)), F9=d(M5, d(1, d(E, d(d(A, d(A2, d(B, E8))), d(d(2, d(1, d(B, d(E, E8)))), H4))))), X4=d(M5, d(1, P2)), C9=d(M5, d(1, S4)), Z4=d(M5, L), G9=d(M5, d(1, d(d(A, d(d(2, d(1, d(B, Y7))), E5)), d(A2, d(B, d(E, Y7)))))), H3=d(M5, d(1, L5)), Q8=d(M5, d(1, O5)), B5=d(M5, L1), H9=d(M5, d(d(2, d(1, G5)), d(N, d(H2, d(H2, d(H2, d(P4, d(d(A, d(d(2, d(1, d(B, F9))), d(B, I9))), d(d(2, d(1, d(B, d(E, I9)))), d(B, d(E, F9))))))))))), J9=d(M5, d(H2, d(G2, d(H2, X3)))), K9=d(M5, d(H2, d(G2, d(H2, B9)))), L9=d(M5, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, H))))), B1))), H1)))), B1)), L1)), D5=d(M5, X3), M9=d(M5, d(P4, d(d(A, d(d(2, d(1, T5)), d(B, N9))), d(d(2, d(1, d(B, d(E, N9)))), U4)))), O9=d(M5, B9), I9=d(M5, d(P4, d(d(A, d(d(2, d(1, V5)), d(B, L9))), d(d(2, d(1, d(B, d(E, L9)))), Y4)))), B7=d(M5, d(P4, d(d(A, d(d(2, d(1, d(B, G9))), d(B, P9))), d(d(2, d(1, d(B, d(E, P9)))), d(B, d(E, G9)))))), D9=d(M5, d(P4, d(d(A, d(d(2, d(1, W5)), U5)), d(d(2, d(1, W4)), A3)))), N9=d(M5, d(P4, d(d(A, d(d(2, d(1, d(B, H9))), V5)), d(d(2, d(1, Y4)), d(B, d(E, H9)))))), P9=d(M5, d(P4, d(d(A, d(d(2, d(1, d(B, M9))), T5)), d(d(2, d(1, U4)), d(B, d(E, M9)))))), E9=d(N5, E4), S6=d(N5, d(E, d(T3, d(d(2, d(1, d(H2, d(P4, d(d(A, d(d(2, d(1, X5)), d(B, J9))), d(d(2, d(1, d(B, d(E, J9)))), C5)))))), d(3, d(Z, d(H2, d(P4, d(d(A, d(d(2, d(1, d(B, O9))), d(B, K9))), d(d(2, d(1, d(B, d(E, K9)))), d(B, d(E, O9)))))))))))), W8=d(N5, T4)]).
mm_proof(cadnot, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, G), H=d(1, I), J=d(1, K), L=d(1, M), N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, R)), S=d(2, d(1, d(2, d(1, d(O, T))))), U=d(2, d(1, d(2, d(1, V)))), W=d(2, d(1, d(2, X))), Y=d(2, d(1, d(2, Z))), A1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C1, T)))), T)))), T)))), D1)))), T)))))), T))))), E1))), F1))))), G1)))), H1=d(2, d(1, d(2, A))), C1=d(2, d(1, d(2, I1))), J1=d(2, d(1, d(2, B))), K1=d(2, d(1, d(2, L1))), R=d(2, F), M1=d(2, d(1, B)), N1=d(2, J), O1=d(2, d(1, P1)), Q1=d(2, d(1, d(B, R1))), S1=d(2, d(1, d(B, T1))), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), Y1=d(2, d(1, d(B, d(E, d(d(A, d(Z1, d(B, A2))), d(d(2, d(1, d(B, d(E, A2)))), B2)))))), C2=d(2, d(1, d(B, d(E, D2)))), E2=d(2, d(1, F2)), G2=d(2, d(1, d(B, H2))), I2=d(2, d(1, B2)), J2=d(2, d(1, d(B, d(E, K2)))), L2=d(2, d(1, d(B, d(E, M2)))), N2=d(2, d(1, d(B, d(E, O2)))), P2=d(2, d(1, d(B, d(E, Q2)))), R2=d(2, d(1, S2)), T2=d(2, d(1, U2)), Z1=d(2, d(1, V2)), W2=d(2, d(1, X2)), Y2=d(2, d(O, d(N, d(1, d(O1, G))))), Z2=d(2, d(O, d(S, H))), A3=d(2, d(O, d(S, d(O, d(N, F))))), B1=d(2, d(P, B3)), C3=d(3, d(B1, X)), D3=d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, B3))))), T))), G=d(d(2, 1), 1), E3=d(N, 1), F3=d(N, L), T=d(N, G), D1=d(N, G3), H3=d(N, P1), X=d(P, T), G1=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), D1)))), T)), Z=d(d(2, d(1, d(2, d(1, d(R, F1))))), G1), A=d(d(2, d(1, d(2, d(1, d(D3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1), I=d(d(2, d(1, d(2, G))), T), B3=d(d(2, d(1, d(2, d(Q, D1)))), T), I1=d(Y, T), I3=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M1, d(Z1, G))))), T)))), T), B=d(d(2, d(1, C3)), d(C3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), L1=d(d(2, d(1, D3)), J3), K=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), D1)))), T)))))), T))))), E1), K3=d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(C1, D1)))), T)))))), T))))), E1), L3=d(M1, G), G3=d(d(2, d(1, M3)), X), M=d(U1, 1), P1=d(U1, d(W, T)), M3=d(d(2, d(P, d(W, G))), G), N3=d(d(2, d(P, d(W, d(d(2, d(O, F3)), d(P, d(U, d(d(2, d(1, O1)), O3))))))), G), P3=d(d(2, d(P, d(W, d(d(2, d(O, d(N, d(1, d(T2, d(O1, P1)))))), d(P, d(U, d(d(2, d(1, d(2, d(1, d(d(2, d(P, d(W, d(Y2, d(P, d(U, d(d(2, d(1, d(2, d(1, d(T2, d(O1, M)))))), O3))))))), G))))), O3))))))), G), V=d(B1, G), Q3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(N, d(J1, T)))))), T))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, E3)))), T))), 1)))), T))))), T)), G), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(N, B))))), T))), L1)))), T)), G), R3=d(d(3, d(3, d(1, S3))), S3), T3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J3=d(B, R3), F1=d(B, U3), V1=d(B, V3), W3=d(B, d(E, R1)), X3=d(B, d(E, V3)), Y3=d(B, d(E, Z3)), X1=d(B, Z3), A4=d(B, d(E, B4)), C4=d(B, D4), F2=d(B, d(E, E4)), F4=d(B, d(E, G4)), H4=d(B, I4), B2=d(B, d(E, J4)), K4=d(B, d(E, L4)), M4=d(B, d(E, N4)), O4=d(B, d(E, P4)), Q4=d(B, d(E, R4)), S2=d(B, d(E, S4)), T4=d(B, d(E, U4)), V4=d(B, W4), X4=d(B, B4), Y4=d(B, d(d(A, d(d(2, d(1, d(B, Z4))), d(B, A5))), d(d(2, d(1, d(B, d(E, A5)))), d(B, d(E, Z4))))), B5=d(B, D2), U2=d(B, E4), C5=d(B, D5), E5=d(B, G4), F5=d(B, G5), V2=d(B, J4), H5=d(B, K2), I5=d(B, M2), J5=d(B, O2), K5=d(B, Q2), L5=d(B, L4), M5=d(B, N4), N5=d(B, P4), X2=d(B, R4), O5=d(B, S4), P5=d(B, U4), S3=d(M3, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1)))), T))), G))), d(3, d(B1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(H1, D1)))), T)))))), T)))))), D1)))), T))), G))))), R1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z3=d(E, W4), Q5=d(E, d(d(A, d(Q1, d(B, R5))), d(d(2, d(1, d(B, d(E, R5)))), W3))), S5=d(E, d(d(A, d(d(2, d(1, d(B, T5))), d(B, U5))), d(d(2, d(1, d(B, d(E, U5)))), d(B, d(E, T5))))), T5=d(E, d(d(A, d(d(2, d(1, d(B, V5))), V2)), d(I2, d(B, d(E, V5))))), W5=d(E, X5), Y5=d(E, d(d(A, d(d(2, d(1, d(B, Z5))), I5)), d(L2, d(B, d(E, Z5))))), U5=d(E, d(d(A, d(d(2, d(1, d(B, A6))), d(B, B6))), d(d(2, d(1, d(B, d(E, B6)))), d(B, d(E, A6))))), C6=d(E, d(d(A, d(d(2, d(1, d(B, D6))), K5)), d(P2, d(B, d(E, D6))))), E6=d(E, d(d(A, d(d(2, d(1, d(B, F6))), T3)), d(S1, d(B, d(E, F6))))), G6=d(E, d(d(A, d(d(2, d(1, d(B, H6))), B5)), d(C2, d(B, d(E, H6))))), Z4=d(E, d(d(A, d(d(2, d(1, d(B, I6))), H5)), d(J2, d(B, d(E, I6))))), J6=d(E, d(d(A, d(d(2, d(1, d(B, K6))), U2)), d(E2, d(B, d(E, K6))))), D4=d(E, L6), M6=d(E, d(d(A, d(d(2, d(1, d(B, N6))), C5)), d(G2, d(B, d(E, N6))))), O6=d(E, d(d(A, d(d(2, d(1, d(B, P6))), C5)), d(G2, d(B, d(E, P6))))), H2=d(E, D5), I4=d(E, G5), Q6=d(E, d(d(A, d(F4, d(d(A, d(W2, O5)), d(R2, Q4)))), d(F4, d(d(A, d(d(2, d(1, M5)), O5)), d(R2, M4))))), R6=d(E, d(d(B, d(d(A, d(Z1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, F3)))), T))), d(d(2, d(1, d(2, d(d(2, d(P, d(W, d(d(2, d(O, d(N, H))), d(P, d(U, d(d(2, d(1, d(2, d(1, d(Q, T))))), O3))))))), G)))), T))))), T)), G))), d(d(2, d(1, d(2, d(K1, H3)))), T))), d(O1, K))), S6=d(E, d(F5, T1)), T6=d(E, d(F5, V3)), U6=d(E, d(F5, W5)), V6=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(N, d(A3, d(N, L3))))))), T))), d(A3, d(N, I3)))))), T)), G), D5), W4=d(d(A, K3), K3), B4=d(d(A, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(P, d(W, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O1, F1))))), G1)))), T))))), d(P, d(U, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, L), F1))))), G1)))), T))))), O3))))))), G)))), T)))), D1)))), T)))))), T))))), E1)), d(d(2, d(P, d(W, d(d(2, d(O, d(N, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H3))), D1)))), T)))))), T))))), E1))), F1))))), G1)))), T)))), D1)))), T)))))), T))))), E1)))))), T))), K)), G))))), d(P, d(U, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(A1, d(N, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, M)))), D1)))), T)))))), T))))), E1))), F1))))), G1)))), T)))), D1)))), T)))))), T))))), E1)))))), T))), K)), G))))), O3))))))), G)), W6=d(d(A, d(Q1, d(B, X6))), d(d(2, d(1, d(B, d(E, X6)))), W3)), Y6=d(d(A, d(Q1, d(B, Z6))), d(d(2, d(1, d(B, d(E, Z6)))), W3)), V5=d(d(A, d(d(2, d(1, F1)), J3)), d(d(2, d(1, d(B, d(E, R3)))), d(B, d(E, U3)))), A7=d(d(A, d(U1, d(B, V6))), d(d(2, d(1, d(B, d(E, V6)))), X3)), B7=d(d(A, d(U1, d(B, C7))), d(d(2, d(1, d(B, d(E, C7)))), X3)), D7=d(d(A, d(W1, I5)), d(L2, Y3)), E7=d(d(A, d(W1, d(B, F7))), d(d(2, d(1, d(B, d(E, F7)))), Y3)), G7=d(d(A, d(W1, d(B, H7))), d(d(2, d(1, d(B, d(E, H7)))), Y3)), I7=d(d(A, d(W1, J5)), d(N2, Y3)), J7=d(d(A, d(W1, d(B, K7))), d(d(2, d(1, d(B, d(E, K7)))), Y3)), L7=d(d(A, d(W1, d(B, M7))), d(d(2, d(1, d(B, d(E, M7)))), Y3)), N7=d(d(A, d(W1, K5)), d(P2, Y3)), C=d(d(A, d(d(2, d(1, d(B, Q5))), d(B, O7))), d(d(2, d(1, d(B, d(E, O7)))), d(B, d(E, Q5)))), P7=d(d(A, d(d(2, d(1, d(B, S5))), d(B, M6))), d(d(2, d(1, d(B, d(E, M6)))), d(B, d(E, S5)))), Q7=d(d(A, d(d(2, d(1, d(B, Y5))), d(B, R7))), d(d(2, d(1, d(B, d(E, R7)))), d(B, d(E, Y5)))), S7=d(d(A, d(d(2, d(1, d(B, C6))), d(B, T7))), d(d(2, d(1, d(B, d(E, T7)))), d(B, d(E, C6)))), U7=d(d(A, d(d(2, d(1, d(B, E6))), d(B, V7))), d(d(2, d(1, d(B, d(E, V7)))), d(B, d(E, E6)))), W7=d(d(A, d(d(2, d(1, d(B, G6))), X4)), d(d(2, d(1, A4)), d(B, d(E, G6)))), X7=d(d(A, d(d(2, d(1, d(B, J6))), T3)), d(S1, d(B, d(E, J6)))), Y7=d(d(A, d(d(2, d(1, d(B, O6))), d(B, T6))), d(d(2, d(1, d(B, d(E, T6)))), d(B, d(E, O6)))), A2=d(d(A, d(d(2, d(1, d(B, Q6))), F5)), d(d(2, d(1, H4)), d(B, d(E, Q6)))), Z7=d(d(A, d(d(2, d(1, d(B, W6))), d(B, A8))), d(d(2, d(1, d(B, d(E, A8)))), d(B, d(E, W6)))), O7=d(d(A, d(d(2, d(1, d(B, Y6))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(Q1, d(B, d(E, Y6)))), V7=d(d(A, d(d(2, d(1, d(B, B7))), O3)), d(U1, d(B, d(E, B7)))), Z5=d(d(A, d(d(2, d(1, d(B, D7))), V4)), d(W1, d(B, d(E, D7)))), A6=d(d(A, d(d(2, d(1, d(B, E7))), V4)), d(W1, d(B, d(E, E7)))), X6=d(d(A, d(d(2, d(1, d(B, G7))), V4)), d(W1, d(B, d(E, G7)))), B8=d(d(A, d(d(2, d(1, d(B, I7))), V4)), d(W1, d(B, d(E, I7)))), C8=d(d(A, d(d(2, d(1, d(B, J7))), V4)), d(W1, d(B, d(E, J7)))), D8=d(d(A, d(d(2, d(1, d(B, L7))), V4)), d(W1, d(B, d(E, L7)))), D6=d(d(A, d(d(2, d(1, d(B, N7))), V4)), d(W1, d(B, d(E, N7)))), E8=d(d(A, d(d(2, d(1, d(B, P7))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, P7)))), T7=d(d(A, d(d(2, d(1, d(B, Q7))), O3)), d(U1, d(B, d(E, Q7)))), F8=d(d(A, d(d(2, d(1, d(B, S7))), U2)), d(E2, d(B, d(E, S7)))), X5=d(d(A, d(d(2, d(1, d(B, U7))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, U7)))), G8=d(d(A, d(d(2, d(1, d(B, X7))), d(B, X5))), d(d(2, d(1, d(B, W5))), d(B, d(E, X7)))), A8=d(d(A, d(d(2, d(1, d(B, Y7))), d(B, S6))), d(d(2, d(1, d(B, d(E, S6)))), d(B, d(E, Y7)))), D=d(d(A, d(d(2, d(1, d(B, Z7))), d(B, U6))), d(d(2, d(1, d(B, d(E, U6)))), d(B, d(E, Z7)))), H8=d(d(A, d(d(2, d(1, d(B, C8))), d(B, I8))), d(d(2, d(1, d(B, d(E, I8)))), d(B, d(E, C8)))), Z6=d(d(A, d(d(2, d(1, d(B, D8))), J5)), d(N2, d(B, d(E, D8)))), J8=d(d(A, d(d(2, d(1, d(B, H8))), d(B, F8))), d(d(2, d(1, d(B, d(E, F8)))), d(B, d(E, H8)))), R5=d(d(A, d(d(2, d(1, d(B, J8))), d(B, G8))), d(d(2, d(1, d(B, d(E, G8)))), d(B, d(E, J8)))), F6=d(d(A, d(d(2, d(1, d(B, K8))), U2)), d(E2, d(B, d(E, K8)))), H6=d(d(A, d(d(2, d(1, d(B, L8))), U2)), d(E2, d(B, d(E, L8)))), A5=d(d(A, d(d(2, d(1, d(B, M8))), d(B, N8))), d(d(2, d(1, d(B, d(E, N8)))), d(B, d(E, M8)))), I6=d(d(A, d(d(2, d(1, d(B, O8))), V2)), d(I2, d(B, d(E, O8)))), K8=d(d(A, d(d(2, d(1, d(B, P8))), d(B, Q8))), d(d(2, d(1, d(B, d(E, Q8)))), d(B, d(E, P8)))), L8=d(d(A, d(T2, B5)), d(C2, F2)), K6=d(d(A, d(T2, d(B, R8))), d(d(2, d(1, d(B, d(E, R8)))), F2)), M8=d(d(A, d(d(2, d(1, F5)), E5)), d(d(2, d(1, F4)), H4)), O8=d(d(A, d(Z1, H5)), d(J2, B2)), L6=d(d(A, d(d(2, d(1, d(B, S8))), C5)), d(G2, d(B, d(E, S8)))), D2=d(d(A, d(d(2, d(P, d(W, d(Y2, d(P, d(U, d(d(2, d(1, d(2, d(1, d(T2, d(O1, V4)))))), O3))))))), G)), d(d(2, d(P, d(W, d(Y2, d(P, d(U, d(d(2, d(1, d(2, d(1, d(T2, d(O1, X1)))))), O3))))))), G)), R8=d(d(A, d(d(2, d(P, d(W, d(Y2, d(P, d(U, d(d(2, d(1, d(2, d(1, d(T2, d(O1, X4)))))), O3))))))), G)), d(d(2, d(P, d(W, d(Y2, d(P, d(U, d(d(2, d(1, d(2, d(1, d(T2, d(O1, A4)))))), O3))))))), G)), P8=d(d(A, d(d(2, d(P, d(W, d(Y2, d(P, d(U, d(d(2, d(1, d(2, d(1, d(T2, d(O1, U2)))))), O3))))))), G)), d(d(2, d(P, d(W, d(Y2, d(P, d(U, d(d(2, d(1, d(2, d(1, d(T2, d(O1, F2)))))), O3))))))), G)), E4=d(d(A, N3), N3), Q8=d(d(A, P3), P3), D5=d(d(A, V), G3), G4=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(N, d(O, d(2, d(1, L1)))))))), T))), d(O, M1))))), T)), G)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, A)))), d(Z2, d(N, d(d(2, d(1, d(2, d(J1, E3)))), T)))))), d(Z2, d(N, d(d(2, d(1, d(2, d(K1, E3)))), T))))), G5=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(N, d(P, d(M1, T8))))))), T))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M1, d(Z1, T8))))), T)))), T)))))), T)), G)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(N, d(P, L3)))))), T))), d(P, I3))))), T)), G)), J4=d(d(A, E), E), R7=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(N, d(2, d(1, d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N1, F1))))), G1)))), T)))), D1)))), T)))))), T))))), E1)))))))), T))), N1)), G)), d(d(2, d(1, d(3, d(B1, d(d(2, d(1, d(2, d(P, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, d(2, d(1, Z)))))), D1)))), T)))))), T))))), E1)), K2=d(d(A, d(F4, d(d(A, d(d(2, d(1, d(B, U8))), O5)), d(R2, d(B, d(E, U8)))))), d(F4, d(d(A, d(d(2, d(1, d(B, V8))), O5)), d(R2, d(B, d(E, V8)))))), W8=d(F4, d(d(A, d(d(2, d(1, d(B, X8))), P5)), d(d(2, d(1, T4)), d(B, d(E, X8))))), T8=d(F4, d(d(A, d(W2, d(B, Y8))), d(d(2, d(1, d(B, d(E, Y8)))), Q4))), M2=d(Y4, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F7=d(Y4, d(1, d(E, d(d(A, d(d(2, d(1, O3)), U2)), d(E2, V1))))), H7=d(Y4, d(1, Y7)), I8=d(Y4, d(1, d(d(A, d(d(2, d(1, d(B, R6))), U2)), d(E2, d(B, d(E, R6)))))), O2=d(Y4, d(1, d(d(A, d(d(2, d(1, d(B, A7))), C4)), d(d(2, d(1, d(B, d(E, D4)))), d(B, d(E, A7)))))), K7=d(Y4, d(1, T7)), M7=d(Y4, d(1, d(d(A, d(d(2, d(1, d(B, B8))), J5)), d(N2, d(B, d(E, B8)))))), B6=d(Y4, d(1, L6)), Q2=d(Y4, d(1, E4)), U8=d(E5, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V8=d(E5, d(1, U3)), L4=d(E5, d(1, Z3)), Z8=d(E5, d(1, d(E, d(d(A, d(W1, d(B, E8))), d(d(2, d(1, d(B, d(E, E8)))), Y3))))), N4=d(E5, d(1, H2)), X8=d(E5, d(1, I4)), P4=d(E5, d(1, W4)), A9=d(E5, d(1, d(d(A, d(d(2, d(1, d(B, W7))), V4)), d(W1, d(B, d(E, W7)))))), R4=d(E5, d(1, D5)), N8=d(E5, d(1, G5)), S4=d(E5, G), B9=d(E5, d(d(2, d(1, Y4)), d(N, d(Z1, d(Z1, d(Z1, d(F4, d(d(A, d(d(2, d(1, d(B, Z8))), d(B, C9))), d(d(2, d(1, d(B, d(E, C9)))), d(B, d(E, Z8))))))))))), D9=d(E5, d(Z1, d(Y1, d(Z1, Q3)))), E9=d(E5, d(Z1, d(Y1, d(Z1, W8)))), F9=d(E5, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(H1, d(N, J))))), T))), I1)))), T)), G)), U4=d(E5, Q3), G9=d(E5, d(F4, d(d(A, d(d(2, d(1, L5)), d(B, H9))), d(d(2, d(1, d(B, d(E, H9)))), K4)))), I9=d(E5, W8), C9=d(E5, d(F4, d(d(A, d(d(2, d(1, N5)), d(B, F9))), d(d(2, d(1, d(B, d(E, F9)))), O4)))), C7=d(E5, d(F4, d(d(A, d(d(2, d(1, d(B, A9))), d(B, J9))), d(d(2, d(1, d(B, d(E, J9)))), d(B, d(E, A9)))))), Y8=d(E5, d(F4, d(d(A, d(d(2, d(1, O5)), M5)), d(d(2, d(1, M4)), S2)))), H9=d(E5, d(F4, d(d(A, d(d(2, d(1, d(B, B9))), N5)), d(d(2, d(1, O4)), d(B, d(E, B9)))))), J9=d(E5, d(F4, d(d(A, d(d(2, d(1, d(B, G9))), L5)), d(d(2, d(1, K4)), d(B, d(E, G9)))))), S8=d(F5, U3), N6=d(F5, d(E, d(M3, d(d(2, d(1, d(Z1, d(F4, d(d(A, d(d(2, d(1, P5)), d(B, D9))), d(d(2, d(1, d(B, d(E, D9)))), T4)))))), d(3, d(B1, d(Z1, d(F4, d(d(A, d(d(2, d(1, d(B, I9))), d(B, E9))), d(d(2, d(1, d(B, d(E, E9)))), d(B, d(E, I9)))))))))))), P6=d(F5, d(E, d(d(A, d(d(2, d(1, d(B, L6))), X2)), d(d(2, d(1, Q4)), C4))))]).
mm_proof(cad1, d(A, d(B, d(d(C, d(d(2, d(1, d(D, E))), d(D, F))), d(d(2, d(1, d(D, d(G, F)))), d(D, d(G, E))))))-[H=d(1, I), J=d(1, K), L=d(1, M), N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, R)), S=d(2, d(1, d(2, d(1, T)))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, X))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, B1)))), B1)))), B1)))), C1)))), B1)))))), B1))))), D1))), E1))))), F1)))), G1=d(2, d(1, d(2, C))), A1=d(2, d(1, d(2, H1))), I1=d(2, d(1, d(2, D))), J1=d(2, d(1, d(2, K1))), R=d(2, d(1, L1)), M1=d(2, d(1, X)), N1=d(2, d(1, D)), O1=d(2, J), P1=d(2, d(1, Q1)), R1=d(2, d(1, d(D, S1))), T1=d(2, d(1, d(D, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), Y1=d(2, d(1, d(D, d(G, d(d(C, d(A, d(D, Z1))), d(d(2, d(1, d(D, d(G, Z1)))), A2)))))), B2=d(2, d(1, d(D, d(G, C2)))), D2=d(2, d(1, E2)), F2=d(2, d(1, d(D, G2))), H2=d(2, d(1, A2)), I2=d(2, d(1, d(D, d(G, J2)))), K2=d(2, d(1, d(D, d(G, L2)))), M2=d(2, d(1, d(D, d(G, N2)))), O2=d(2, d(1, P2)), Q2=d(2, d(1, R2)), A=d(2, d(1, S2)), T2=d(2, d(1, d(D, U2))), V2=d(2, d(O, d(N, d(1, d(P1, L1))))), W2=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, B1))))), H))), Z=d(2, d(P, X2)), Y2=d(3, d(Z, V)), Z2=d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, X2))))), B1))), L1=d(d(2, 1), 1), A3=d(N, 1), B3=d(N, L), B1=d(N, L1), C1=d(N, C3), D3=d(N, M), E3=d(N, Q1), V=d(P, B1), F1=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), C1)))), B1)), X=d(d(2, d(1, d(2, d(1, d(R, E1))))), F1), C=d(d(2, d(1, d(2, d(1, d(Z2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1), I=d(d(2, d(1, d(2, L1))), B1), X2=d(d(2, d(1, d(2, d(Q, C1)))), B1), H1=d(W, B1), D=d(d(2, d(1, Y2)), d(Y2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, Z2)), F3), K=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B1))), C1)))), B1)))))), B1))))), D1), G3=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(A1, C1)))), B1)))))), B1))))), D1), C3=d(d(2, d(1, H3)), V), M=d(U1, 1), Q1=d(U1, d(U, B1)), H3=d(d(2, d(P, d(U, L1))), L1), I3=d(d(2, d(P, d(U, d(d(2, d(O, B3)), d(P, d(S, d(d(2, d(1, P1)), J3))))))), L1), K3=d(d(2, d(P, d(U, d(d(2, d(O, d(N, d(1, d(Q2, d(P1, Q1)))))), d(P, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(P, d(U, d(V2, d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q2, d(P1, M)))))), J3))))))), L1))))), J3))))))), L1), T=d(Z, L1), L3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, J))))), B1))), H1)))), B1)), L1), M3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, d(I1, B1)))))), B1))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, A3)))), B1))), 1)))), B1))))), B1)), L1), G=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, D))))), B1))), K1)))), B1)), L1), N3=d(d(3, d(3, d(1, O3))), O3), P3=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), D1=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J3=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F3=d(D, N3), E1=d(D, Q3), V1=d(D, R3), S3=d(D, d(G, T3)), X1=d(D, T3), U3=d(D, d(G, V3)), E2=d(D, d(G, W3)), B=d(D, d(G, X3)), Y3=d(D, Z3), A2=d(D, d(G, A4)), B4=d(D, d(G, C4)), D4=d(D, d(G, E4)), F4=d(D, d(G, G4)), H4=d(D, d(G, U2)), P2=d(D, d(G, I4)), J4=d(D, d(G, K4)), L4=d(D, M4), N4=d(D, V3), O4=d(D, d(d(C, d(d(2, d(1, d(D, P4))), d(D, Q4))), d(d(2, d(1, d(D, d(G, Q4)))), d(D, d(G, P4))))), R4=d(D, C2), R2=d(D, W3), S4=d(D, T4), U4=d(D, X3), V4=d(D, W4), S2=d(D, A4), X4=d(D, J2), Y4=d(D, L2), Z4=d(D, N2), A5=d(D, C4), B5=d(D, E4), C5=d(D, G4), D5=d(D, I4), E5=d(D, K4), O3=d(H3, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), B1))), L1))), d(3, d(Z, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(G1, C1)))), B1)))))), B1)))))), C1)))), B1))), L1))))), S1=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q3=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R3=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T3=d(G, M4), F5=d(G, d(d(C, d(d(2, d(1, d(D, G5))), d(D, H5))), d(d(2, d(1, d(D, d(G, H5)))), d(D, d(G, G5))))), G5=d(G, d(d(C, d(d(2, d(1, d(D, I5))), S2)), d(H2, d(D, d(G, I5))))), J5=d(G, d(d(C, d(d(2, d(1, d(D, K5))), Y4)), d(K2, d(D, d(G, K5))))), H5=d(G, d(d(C, d(d(2, d(1, d(D, L5))), d(D, M5))), d(d(2, d(1, d(D, d(G, M5)))), d(D, d(G, L5))))), N5=d(G, d(d(C, d(d(2, d(1, d(D, O5))), Z4)), d(M2, d(D, d(G, O5))))), P5=d(G, d(d(C, d(d(2, d(1, d(D, Q5))), P3)), d(T1, d(D, d(G, Q5))))), R5=d(G, d(d(C, d(d(2, d(1, d(D, S5))), R4)), d(B2, d(D, d(G, S5))))), P4=d(G, d(d(C, d(d(2, d(1, d(D, T5))), X4)), d(I2, d(D, d(G, T5))))), U5=d(G, d(d(C, d(d(2, d(1, d(D, V5))), R2)), d(D2, d(D, d(G, V5))))), W5=d(G, d(d(C, d(d(2, d(1, d(D, X5))), S4)), d(F2, d(D, d(G, X5))))), G2=d(G, T4), Z3=d(G, W4), Y5=d(G, d(d(C, d(B, d(d(C, d(T2, D5)), d(O2, H4)))), d(B, d(d(C, d(d(2, d(1, B5)), D5)), d(O2, D4))))), Z5=d(G, d(d(D, d(d(C, d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, B3)))), B1))), d(d(2, d(1, d(2, d(d(2, d(P, d(U, d(d(2, d(O, d(N, H))), d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q, B1))))), J3))))))), L1)))), B1))))), B1)), L1))), d(d(2, d(1, d(2, d(J1, E3)))), B1))), d(P1, K))), M4=d(d(C, G3), G3), V3=d(d(C, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(P, d(U, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P1, E1))))), F1)))), B1))))), d(P, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, L), E1))))), F1)))), B1))))), J3))))))), L1)))), B1)))), C1)))), B1)))))), B1))))), D1)), d(d(2, d(P, d(U, d(d(2, d(O, d(N, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(N, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E3))), C1)))), B1)))))), B1))))), D1))), E1))))), F1)))), B1)))), C1)))), B1)))))), B1))))), D1)))))), B1))), K)), L1))))), d(P, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(N, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D3))), C1)))), B1)))))), B1))))), D1))), E1))))), F1)))), B1)))), C1)))), B1)))))), B1))))), D1)))))), B1))), K)), L1))))), J3))))))), L1)), A6=d(d(C, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W2, d(N, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H1)), E1))))), F1)))))), B1)))), C1)))), B1)))))), B1))))), D1)))), C1)))), B1)))))), B1))))), D1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W2, d(N, d(d(2, d(1, d(2, d(W2, d(N, d(d(2, d(1, d(2, d(1, d(M1, E1))))), F1)))))), B1)))))), B1)))), C1)))), B1)))))), B1))))), D1)))), B1)))), C1)))), B1)))))), B1))))), D1)), B6=d(d(C, d(R1, d(D, C6))), d(d(2, d(1, d(D, d(G, C6)))), d(D, d(G, S1)))), I5=d(d(C, d(d(2, d(1, E1)), F3)), d(d(2, d(1, d(D, d(G, N3)))), d(D, d(G, Q3)))), D6=d(d(C, d(U1, d(D, E6))), d(d(2, d(1, d(D, d(G, E6)))), d(D, d(G, R3)))), F6=d(d(C, d(W1, Y4)), d(K2, S3)), G6=d(d(C, d(W1, d(D, H6))), d(d(2, d(1, d(D, d(G, H6)))), S3)), I6=d(d(C, d(W1, d(D, J6))), d(d(2, d(1, d(D, d(G, J6)))), S3)), K6=d(d(C, d(W1, Z4)), d(M2, S3)), L6=d(d(C, d(d(2, d(1, d(D, F5))), d(D, W5))), d(d(2, d(1, d(D, d(G, W5)))), d(D, d(G, F5)))), M6=d(d(C, d(d(2, d(1, d(D, J5))), d(D, N6))), d(d(2, d(1, d(D, d(G, N6)))), d(D, d(G, J5)))), O6=d(d(C, d(d(2, d(1, d(D, N5))), d(D, P6))), d(d(2, d(1, d(D, d(G, P6)))), d(D, d(G, N5)))), Q6=d(d(C, d(d(2, d(1, d(D, P5))), d(D, R6))), d(d(2, d(1, d(D, d(G, R6)))), d(D, d(G, P5)))), S6=d(d(C, d(d(2, d(1, d(D, R5))), N4)), d(d(2, d(1, U3)), d(D, d(G, R5)))), T6=d(d(C, d(d(2, d(1, d(D, U5))), P3)), d(T1, d(D, d(G, U5)))), Z1=d(d(C, d(d(2, d(1, d(D, Y5))), V4)), d(d(2, d(1, Y3)), d(D, d(G, Y5)))), U6=d(d(C, d(d(2, d(1, d(D, A6))), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(R1, d(D, d(G, A6)))), R6=d(d(C, d(d(2, d(1, d(D, D6))), J3)), d(U1, d(D, d(G, D6)))), K5=d(d(C, d(d(2, d(1, d(D, F6))), L4)), d(W1, d(D, d(G, F6)))), L5=d(d(C, d(d(2, d(1, d(D, G6))), L4)), d(W1, d(D, d(G, G6)))), V6=d(d(C, d(d(2, d(1, d(D, I6))), L4)), d(W1, d(D, d(G, I6)))), O5=d(d(C, d(d(2, d(1, d(D, K6))), L4)), d(W1, d(D, d(G, K6)))), W6=d(d(C, d(d(2, d(1, d(D, L6))), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(D, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(D, d(G, L6)))), P6=d(d(C, d(d(2, d(1, d(D, M6))), J3)), d(U1, d(D, d(G, M6)))), X6=d(d(C, d(d(2, d(1, d(D, O6))), R2)), d(D2, d(D, d(G, O6)))), Y6=d(d(C, d(d(2, d(1, d(D, Q6))), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(D, d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(D, d(G, Q6)))), Z6=d(d(C, d(d(2, d(1, d(D, T6))), d(D, Y6))), d(d(2, d(1, d(D, d(G, Y6)))), d(D, d(G, T6)))), A7=d(d(C, d(d(2, d(1, d(D, V6))), d(D, B7))), d(d(2, d(1, d(D, d(G, B7)))), d(D, d(G, V6)))), C7=d(d(C, d(d(2, d(1, d(D, A7))), d(D, X6))), d(d(2, d(1, d(D, d(G, X6)))), d(D, d(G, A7)))), C6=d(d(C, d(d(2, d(1, d(D, C7))), d(D, Z6))), d(d(2, d(1, d(D, d(G, Z6)))), d(D, d(G, C7)))), Q5=d(d(C, d(d(2, d(1, d(D, D7))), R2)), d(D2, d(D, d(G, D7)))), S5=d(d(C, d(d(2, d(1, d(D, E7))), R2)), d(D2, d(D, d(G, E7)))), Q4=d(d(C, d(d(2, d(1, d(D, F7))), d(D, G7))), d(d(2, d(1, d(D, d(G, G7)))), d(D, d(G, F7)))), T5=d(d(C, d(d(2, d(1, d(D, H7))), S2)), d(H2, d(D, d(G, H7)))), D7=d(d(C, d(d(2, d(1, d(D, I7))), d(D, J7))), d(d(2, d(1, d(D, d(G, J7)))), d(D, d(G, I7)))), E7=d(d(C, d(Q2, R4)), d(B2, E2)), V5=d(d(C, d(Q2, d(D, K7))), d(d(2, d(1, d(D, d(G, K7)))), E2)), F7=d(d(C, d(d(2, d(1, V4)), U4)), d(d(2, d(1, B)), Y3)), H7=d(d(C, d(A, X4)), d(I2, A2)), C2=d(d(C, d(d(2, d(P, d(U, d(V2, d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q2, d(P1, L4)))))), J3))))))), L1)), d(d(2, d(P, d(U, d(V2, d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q2, d(P1, X1)))))), J3))))))), L1)), K7=d(d(C, d(d(2, d(P, d(U, d(V2, d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q2, d(P1, N4)))))), J3))))))), L1)), d(d(2, d(P, d(U, d(V2, d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q2, d(P1, U3)))))), J3))))))), L1)), I7=d(d(C, d(d(2, d(P, d(U, d(V2, d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q2, d(P1, R2)))))), J3))))))), L1)), d(d(2, d(P, d(U, d(V2, d(P, d(S, d(d(2, d(1, d(2, d(1, d(Q2, d(P1, E2)))))), J3))))))), L1)), W3=d(d(C, I3), I3), J7=d(d(C, K3), K3), T4=d(d(C, T), C3), X3=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, d(O, d(2, d(1, K1)))))))), B1))), d(O, N1))))), B1)), L1)), d(d(2, d(O, d(d(2, d(1, d(2, d(1, C)))), d(W2, d(N, d(d(2, d(1, d(2, d(I1, A3)))), B1)))))), d(W2, d(N, d(d(2, d(1, d(2, d(J1, A3)))), B1))))), W4=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, d(P, d(N1, L7))))))), B1))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N1, d(A, L7))))), B1)))), B1)))))), B1)), L1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(N, d(P, d(N1, L1))))))), B1))), d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N1, d(A, L1))))), B1)))), B1)))))), B1)), L1)), A4=d(d(C, G), G), N6=d(d(C, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(N, d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O1, E1))))), F1)))), B1)))), C1)))), B1)))))), B1))))), D1)))))))), B1))), O1)), L1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(P, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(O, M1)))), C1)))), B1)))))), B1))))), D1)), J2=d(d(C, d(B, d(d(C, d(d(2, d(1, d(D, M7))), D5)), d(O2, d(D, d(G, M7)))))), d(B, d(d(C, d(d(2, d(1, d(D, N7))), D5)), d(O2, d(D, d(G, N7)))))), O7=d(B, d(d(C, d(d(2, d(1, d(D, P7))), E5)), d(d(2, d(1, J4)), d(D, d(G, P7))))), L7=d(B, d(d(C, d(T2, d(D, Q7))), d(d(2, d(1, d(D, d(G, Q7)))), H4))), L2=d(O4, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H6=d(O4, d(1, d(G, d(d(C, d(d(2, d(1, J3)), R2)), d(D2, V1))))), B7=d(O4, d(1, d(d(C, d(d(2, d(1, d(D, Z5))), R2)), d(D2, d(D, d(G, Z5)))))), J6=d(O4, d(1, P6)), M5=d(O4, d(1, d(d(C, d(d(2, d(1, d(D, R7))), S4)), d(F2, d(D, d(G, R7)))))), N2=d(O4, d(1, W3)), M7=d(U4, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N7=d(U4, d(1, Q3)), C4=d(U4, d(1, T3)), S7=d(U4, d(1, d(G, d(d(C, d(W1, d(D, W6))), d(d(2, d(1, d(D, d(G, W6)))), S3))))), E=d(U4, d(1, d(G, d(d(C, d(d(2, d(1, d(D, U6))), d(D, B6))), d(d(2, d(1, d(D, d(G, B6)))), d(D, d(G, U6))))))), E4=d(U4, d(1, G2)), P7=d(U4, d(1, Z3)), G4=d(U4, d(1, M4)), T7=d(U4, d(1, d(d(C, d(d(2, d(1, d(D, S6))), L4)), d(W1, d(D, d(G, S6)))))), U2=d(U4, d(1, T4)), G7=d(U4, d(1, W4)), I4=d(U4, L1), F=d(U4, d(d(2, d(1, L3)), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, D3)))), B1))), M)), L1))), U7=d(U4, d(d(2, d(1, O4)), d(N, d(A, d(A, d(A, d(B, d(d(C, d(d(2, d(1, d(D, S7))), d(D, V7))), d(d(2, d(1, d(D, d(G, V7)))), d(D, d(G, S7))))))))))), W7=d(U4, d(A, d(Y1, d(A, M3)))), X7=d(U4, d(A, d(Y1, d(A, O7)))), Y7=d(U4, L3), K4=d(U4, M3), Z7=d(U4, d(B, d(d(C, d(d(2, d(1, A5)), d(D, A8))), d(d(2, d(1, d(D, d(G, A8)))), B4)))), B8=d(U4, O7), V7=d(U4, d(B, d(d(C, d(d(2, d(1, C5)), d(D, Y7))), d(d(2, d(1, d(D, d(G, Y7)))), F4)))), E6=d(U4, d(B, d(d(C, d(d(2, d(1, d(D, T7))), d(D, C8))), d(d(2, d(1, d(D, d(G, C8)))), d(D, d(G, T7)))))), Q7=d(U4, d(B, d(d(C, d(d(2, d(1, D5)), B5)), d(d(2, d(1, D4)), P2)))), A8=d(U4, d(B, d(d(C, d(d(2, d(1, d(D, U7))), C5)), d(d(2, d(1, F4)), d(D, d(G, U7)))))), C8=d(U4, d(B, d(d(C, d(d(2, d(1, d(D, Z7))), A5)), d(d(2, d(1, B4)), d(D, d(G, Z7)))))), R7=d(V4, Q3), X5=d(V4, d(G, d(H3, d(d(2, d(1, d(A, d(B, d(d(C, d(d(2, d(1, E5)), d(D, W7))), d(d(2, d(1, d(D, d(G, W7)))), J4)))))), d(3, d(Z, d(A, d(B, d(d(C, d(d(2, d(1, d(D, B8))), d(D, X7))), d(d(2, d(1, d(D, d(G, X7)))), d(D, d(G, B8))))))))))))]).
mm_proof(cadifp, d(d(A, d(d(2, d(1, d(B, C))), d(B, D))), d(d(2, d(1, d(B, d(E, D)))), d(B, d(E, C))))-[F=d(1, d(G, H)), I=d(1, J), K=d(1, L), M=d(1, N), O=d(2, d(1, 1)), P=d(2, d(1, 2)), Q=d(2, d(1, 3)), G=d(2, d(1, R)), S=d(2, d(1, d(2, d(1, T)))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, X))), Y=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, H)))), H)))), H)))), B1)))), H)))))), H))))), C1))), D1))))), E1)))), F1=d(2, d(1, d(2, A))), A1=d(2, d(1, d(2, G1))), H1=d(2, d(1, d(2, B))), I1=d(2, d(1, d(2, J1))), R=d(2, d(1, K1)), L1=d(2, d(1, X)), M1=d(2, d(1, B)), N1=d(2, K), O1=d(2, d(1, P1)), Q1=d(2, d(1, d(B, R1))), S1=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), T1=d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), U1=d(2, d(1, V1)), W1=d(2, d(1, X1)), Y1=d(2, d(1, d(B, d(E, d(d(A, d(Z1, d(B, A2))), d(d(2, d(1, d(B, d(E, A2)))), B2)))))), C2=d(2, d(1, d(B, d(E, D2)))), E2=d(2, d(1, F2)), G2=d(2, d(1, d(B, H2))), I2=d(2, d(1, B2)), J2=d(2, d(1, d(B, d(E, K2)))), L2=d(2, d(1, d(B, d(E, M2)))), N2=d(2, d(1, d(B, d(E, O2)))), P2=d(2, d(1, Q2)), R2=d(2, d(1, S2)), Z1=d(2, d(1, T2)), U2=d(2, d(1, d(B, V2))), W2=d(2, d(P, d(O, d(1, d(O1, K1))))), X2=d(2, d(P, d(d(2, d(1, d(2, d(1, d(P, H))))), I))), Z=d(2, d(Q, Y2)), Z2=d(3, d(Z, V)), A3=d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, Y2))))), H))), K1=d(d(2, 1), 1), B3=d(O, 1), C3=d(O, M), H=d(O, K1), B1=d(O, D3), E3=d(O, N), F3=d(O, P1), V=d(Q, H), E1=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), B1)))), H)), X=d(d(2, d(1, d(2, d(1, d(R, D1))))), E1), A=d(d(2, d(1, d(2, d(1, d(A3, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1), J=d(d(2, d(1, d(2, K1))), H), Y2=d(d(2, d(1, d(2, d(G, B1)))), H), G1=d(W, H), B=d(d(2, d(1, Z2)), d(Z2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(d(2, d(1, A3)), G3), L=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), B1)))), H)))))), H))))), C1), H3=d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(A1, B1)))), H)))))), H))))), C1), D3=d(d(2, d(1, I3)), V), N=d(U1, 1), P1=d(U1, d(U, H)), I3=d(d(2, d(Q, d(U, K1))), K1), J3=d(d(2, d(Q, d(U, d(d(2, d(P, C3)), d(Q, d(S, d(d(2, d(1, O1)), K3))))))), K1), L3=d(d(2, d(Q, d(U, d(d(2, d(P, d(O, d(1, d(R2, d(O1, P1)))))), d(Q, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, N)))))), K3))))))), K1))))), K3))))))), K1), T=d(Z, K1), M3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(O, K))))), H))), G1)))), H)), K1), N3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(O, d(H1, H)))))), H))), d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, B3)))), H))), 1)))), H))))), H)), K1), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(O, B))))), H))), J1)))), H)), K1), O3=d(d(3, d(3, d(1, P3))), P3), Q3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K3=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G3=d(B, O3), D1=d(B, S3), V1=d(B, T3), U3=d(B, d(E, V3)), X1=d(B, V3), W3=d(B, d(E, X3)), F2=d(B, d(E, Y3)), Z3=d(B, d(E, A4)), B4=d(B, C4), B2=d(B, d(E, D4)), E4=d(B, d(E, F4)), G4=d(B, d(E, H4)), I4=d(B, d(E, J4)), K4=d(B, d(E, V2)), Q2=d(B, d(E, L4)), M4=d(B, d(E, N4)), O4=d(B, P4), Q4=d(B, X3), R4=d(B, d(d(A, d(d(2, d(1, d(B, S4))), d(B, T4))), d(d(2, d(1, d(B, d(E, T4)))), d(B, d(E, S4))))), U4=d(B, D2), S2=d(B, Y3), V4=d(B, W4), X4=d(B, A4), Y4=d(B, Z4), T2=d(B, D4), A5=d(B, K2), B5=d(B, M2), C5=d(B, O2), D5=d(B, F4), E5=d(B, H4), F5=d(B, J4), G5=d(B, L4), H5=d(B, N4), P3=d(I3, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), H))), K1))), d(3, d(Z, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(F1, B1)))), H)))))), H)))))), B1)))), H))), K1))))), I5=d(M3, d(V1, K1)), R1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V3=d(E, P4), J5=d(E, d(d(A, d(d(2, d(1, d(B, K5))), d(B, L5))), d(d(2, d(1, d(B, d(E, L5)))), d(B, d(E, K5))))), K5=d(E, d(d(A, d(d(2, d(1, d(B, M5))), T2)), d(I2, d(B, d(E, M5))))), N5=d(E, d(d(A, d(d(2, d(1, d(B, O5))), B5)), d(L2, d(B, d(E, O5))))), L5=d(E, d(d(A, d(d(2, d(1, d(B, P5))), d(B, Q5))), d(d(2, d(1, d(B, d(E, Q5)))), d(B, d(E, P5))))), R5=d(E, d(d(A, d(d(2, d(1, d(B, S5))), C5)), d(N2, d(B, d(E, S5))))), T5=d(E, d(d(A, d(d(2, d(1, d(B, U5))), Q3)), d(S1, d(B, d(E, U5))))), V5=d(E, d(d(A, d(d(2, d(1, d(B, W5))), U4)), d(C2, d(B, d(E, W5))))), S4=d(E, d(d(A, d(d(2, d(1, d(B, X5))), A5)), d(J2, d(B, d(E, X5))))), Y5=d(E, d(d(A, d(d(2, d(1, d(B, Z5))), S2)), d(E2, d(B, d(E, Z5))))), A6=d(E, d(d(A, d(d(2, d(1, d(B, B6))), V4)), d(G2, d(B, d(E, B6))))), H2=d(E, W4), C4=d(E, Z4), C6=d(E, d(d(A, d(Z3, d(d(A, d(U2, G5)), d(P2, K4)))), d(Z3, d(d(A, d(d(2, d(1, E5)), G5)), d(P2, G4))))), D6=d(E, d(d(B, d(d(A, d(Z1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, C3)))), H))), d(d(2, d(1, d(2, d(d(2, d(Q, d(U, d(d(2, d(P, d(O, I))), d(Q, d(S, d(d(2, d(1, d(2, F))), K3))))))), K1)))), H))))), H)), K1))), d(d(2, d(1, d(2, d(I1, F3)))), H))), d(O1, L))), P4=d(d(A, H3), H3), X3=d(d(A, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(Q, d(U, d(d(2, d(P, d(O, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O1, D1))))), E1)))), H))))), d(Q, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, M), D1))))), E1)))), H))))), K3))))))), K1)))), H)))), B1)))), H)))))), H))))), C1)), d(d(2, d(Q, d(U, d(d(2, d(P, d(O, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(O, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F3))), B1)))), H)))))), H))))), C1))), D1))))), E1)))), H)))), B1)))), H)))))), H))))), C1)))))), H))), L)), K1))))), d(Q, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Y, d(O, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E3))), B1)))), H)))))), H))))), C1))), D1))))), E1)))), H)))), B1)))), H)))))), H))))), C1)))))), H))), L)), K1))))), K3))))))), K1)), E6=d(d(A, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X2, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, G1)), D1))))), E1)))))), H)))), B1)))), H)))))), H))))), C1)))), B1)))), H)))))), H))))), C1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X2, d(O, d(d(2, d(1, d(2, d(X2, d(O, d(d(2, d(1, d(2, d(1, d(L1, D1))))), E1)))))), H)))))), H)))), B1)))), H)))))), H))))), C1)))), H)))), B1)))), H)))))), H))))), C1)), F6=d(d(A, d(Q1, d(B, G6))), d(d(2, d(1, d(B, d(E, G6)))), d(B, d(E, R1)))), M5=d(d(A, d(d(2, d(1, D1)), G3)), d(d(2, d(1, d(B, d(E, O3)))), d(B, d(E, S3)))), H6=d(d(A, d(U1, d(B, I6))), d(d(2, d(1, d(B, d(E, I6)))), d(B, d(E, T3)))), J6=d(d(A, d(W1, d(B, I5))), d(d(2, d(1, d(B, d(E, I5)))), U3)), K6=d(d(A, d(W1, B5)), d(L2, U3)), L6=d(d(A, d(W1, d(B, M6))), d(d(2, d(1, d(B, d(E, M6)))), U3)), N6=d(d(A, d(W1, d(B, O6))), d(d(2, d(1, d(B, d(E, O6)))), U3)), P6=d(d(A, d(W1, C5)), d(N2, U3)), Q6=d(d(A, d(d(2, d(1, d(B, J5))), d(B, A6))), d(d(2, d(1, d(B, d(E, A6)))), d(B, d(E, J5)))), R6=d(d(A, d(d(2, d(1, d(B, N5))), d(B, S6))), d(d(2, d(1, d(B, d(E, S6)))), d(B, d(E, N5)))), T6=d(d(A, d(d(2, d(1, d(B, R5))), d(B, U6))), d(d(2, d(1, d(B, d(E, U6)))), d(B, d(E, R5)))), V6=d(d(A, d(d(2, d(1, d(B, T5))), d(B, W6))), d(d(2, d(1, d(B, d(E, W6)))), d(B, d(E, T5)))), X6=d(d(A, d(d(2, d(1, d(B, V5))), Q4)), d(d(2, d(1, W3)), d(B, d(E, V5)))), Y6=d(d(A, d(d(2, d(1, d(B, Y5))), Q3)), d(S1, d(B, d(E, Y5)))), A2=d(d(A, d(d(2, d(1, d(B, C6))), Y4)), d(d(2, d(1, B4)), d(B, d(E, C6)))), Z6=d(d(A, d(d(2, d(1, d(B, E6))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(Q1, d(B, d(E, E6)))), W6=d(d(A, d(d(2, d(1, d(B, H6))), K3)), d(U1, d(B, d(E, H6)))), O5=d(d(A, d(d(2, d(1, d(B, K6))), O4)), d(W1, d(B, d(E, K6)))), P5=d(d(A, d(d(2, d(1, d(B, L6))), O4)), d(W1, d(B, d(E, L6)))), A7=d(d(A, d(d(2, d(1, d(B, N6))), O4)), d(W1, d(B, d(E, N6)))), S5=d(d(A, d(d(2, d(1, d(B, P6))), O4)), d(W1, d(B, d(E, P6)))), B7=d(d(A, d(d(2, d(1, d(B, Q6))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(B, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))), d(B, d(E, Q6)))), U6=d(d(A, d(d(2, d(1, d(B, R6))), K3)), d(U1, d(B, d(E, R6)))), C7=d(d(A, d(d(2, d(1, d(B, T6))), S2)), d(E2, d(B, d(E, T6)))), D7=d(d(A, d(d(2, d(1, d(B, V6))), R3)), d(T1, d(B, d(E, V6)))), E7=d(d(A, d(d(2, d(1, d(B, X6))), O4)), d(W1, d(B, d(E, X6)))), F7=d(d(A, d(d(2, d(1, d(B, Y6))), d(B, D7))), d(d(2, d(1, d(B, d(E, D7)))), d(B, d(E, Y6)))), G7=d(d(A, d(d(2, d(1, d(B, A7))), d(B, H7))), d(d(2, d(1, d(B, d(E, H7)))), d(B, d(E, A7)))), I7=d(d(A, d(d(2, d(1, d(B, G7))), d(B, C7))), d(d(2, d(1, d(B, d(E, C7)))), d(B, d(E, G7)))), G6=d(d(A, d(d(2, d(1, d(B, I7))), d(B, F7))), d(d(2, d(1, d(B, d(E, F7)))), d(B, d(E, I7)))), D=d(d(A, d(d(2, d(1, d(B, J7))), d(B, J6))), d(d(2, d(1, d(B, d(E, J6)))), d(B, d(E, J7)))), J7=d(d(A, d(d(2, d(1, d(B, K7))), d(B, E7))), d(d(2, d(1, d(B, d(E, E7)))), d(B, d(E, K7)))), K7=d(d(A, d(d(2, d(1, d(B, L7))), d(B, M7))), d(d(2, d(1, d(B, d(E, M7)))), d(B, d(E, L7)))), U5=d(d(A, d(d(2, d(1, d(B, N7))), S2)), d(E2, d(B, d(E, N7)))), W5=d(d(A, d(d(2, d(1, d(B, O7))), S2)), d(E2, d(B, d(E, O7)))), L7=d(d(A, d(d(2, d(1, d(B, P7))), S2)), d(E2, d(B, d(E, P7)))), T4=d(d(A, d(d(2, d(1, d(B, Q7))), d(B, R7))), d(d(2, d(1, d(B, d(E, R7)))), d(B, d(E, Q7)))), X5=d(d(A, d(d(2, d(1, d(B, S7))), T2)), d(I2, d(B, d(E, S7)))), N7=d(d(A, d(d(2, d(1, d(B, T7))), d(B, U7))), d(d(2, d(1, d(B, d(E, U7)))), d(B, d(E, T7)))), O7=d(d(A, d(R2, U4)), d(C2, F2)), Z5=d(d(A, d(R2, d(B, V7))), d(d(2, d(1, d(B, d(E, V7)))), F2)), P7=d(d(A, d(R2, d(B, W7))), d(d(2, d(1, d(B, d(E, W7)))), F2)), Q7=d(d(A, d(d(2, d(1, Y4)), X4)), d(d(2, d(1, Z3)), B4)), S7=d(d(A, d(Z1, A5)), d(J2, B2)), D2=d(d(A, d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, O4)))))), K3))))))), K1)), d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, X1)))))), K3))))))), K1)), V7=d(d(A, d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, Q4)))))), K3))))))), K1)), d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, W3)))))), K3))))))), K1)), T7=d(d(A, d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, S2)))))), K3))))))), K1)), d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, F2)))))), K3))))))), K1)), W7=d(d(A, d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, d(B, X7))))))), K3))))))), K1)), d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, d(B, d(E, X7)))))))), K3))))))), K1)), M7=d(d(A, d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, d(B, Y7))))))), K3))))))), K1)), d(d(2, d(Q, d(U, d(W2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(R2, d(O1, d(B, d(E, Y7)))))))), K3))))))), K1)), Y3=d(d(A, J3), J3), U7=d(d(A, L3), L3), W4=d(d(A, T), D3), A4=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(O, d(P, d(2, d(1, J1)))))))), H))), d(P, M1))))), H)), K1)), d(d(2, d(P, d(d(2, d(1, d(2, d(1, A)))), d(X2, d(O, d(d(2, d(1, d(2, d(H1, B3)))), H)))))), d(X2, d(O, d(d(2, d(1, d(2, d(I1, B3)))), H))))), Z4=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(O, d(Q, d(M1, Z7))))))), H))), d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M1, d(Z1, Z7))))), H)))), H)))))), H)), K1)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(O, d(Q, d(M1, K1))))))), H))), d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M1, d(Z1, K1))))), H)))), H)))))), H)), K1)), D4=d(d(A, E), E), S6=d(d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(O, d(2, d(1, d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N1, D1))))), E1)))), H)))), B1)))), H)))))), H))))), C1)))))))), H))), N1)), K1)), d(d(2, d(1, d(3, d(Z, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(P, L1)))), B1)))), H)))))), H))))), C1)), K2=d(d(A, d(Z3, d(d(A, d(d(2, d(1, d(B, A8))), G5)), d(P2, d(B, d(E, A8)))))), d(Z3, d(d(A, d(d(2, d(1, d(B, B8))), G5)), d(P2, d(B, d(E, B8)))))), C8=d(Z3, d(d(A, d(d(2, d(1, d(B, D8))), H5)), d(d(2, d(1, M4)), d(B, d(E, D8))))), Z7=d(Z3, d(d(A, d(U2, d(B, E8))), d(d(2, d(1, d(B, d(E, E8)))), K4))), M2=d(R4, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M6=d(R4, d(1, d(E, d(d(A, d(d(2, d(1, K3)), S2)), d(E2, V1))))), H7=d(R4, d(1, d(d(A, d(d(2, d(1, d(B, D6))), S2)), d(E2, d(B, d(E, D6)))))), O6=d(R4, d(1, U6)), Q5=d(R4, d(1, d(d(A, d(d(2, d(1, d(B, F8))), V4)), d(G2, d(B, d(E, F8)))))), O2=d(R4, d(1, Y3)), X7=d(R4, d(Z1, d(Z3, d(d(A, d(d(2, d(1, d(B, G8))), d(B, H8))), d(d(2, d(1, d(B, d(E, H8)))), d(B, d(E, G8))))))), Y7=d(R4, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(F1, d(O, d(1, d(T1, P1))))))), H))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(Q, d(U, d(d(2, d(P, d(O, F))), d(Q, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(O, L))))), H)))), H))))), K3))))))), K1)))), H)))), d(O, R3))))), H))))), H)), K1)), A8=d(X4, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B8=d(X4, d(1, S3)), F4=d(X4, d(1, V3)), I8=d(X4, d(1, d(E, d(d(A, d(W1, d(B, B7))), d(d(2, d(1, d(B, d(E, B7)))), U3))))), G8=d(X4, d(1, d(E, d(d(A, d(d(2, d(1, d(B, Z6))), d(B, F6))), d(d(2, d(1, d(B, d(E, F6)))), d(B, d(E, Z6))))))), H4=d(X4, d(1, H2)), D8=d(X4, d(1, C4)), J4=d(X4, d(1, P4)), J8=d(X4, d(1, E7)), V2=d(X4, d(1, W4)), R7=d(X4, d(1, Z4)), L4=d(X4, K1), H8=d(X4, d(d(2, d(1, M3)), d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, E3)))), H))), N)), K1))), K8=d(X4, d(d(2, d(1, R4)), d(O, d(Z1, d(Z1, d(Z1, d(Z3, d(d(A, d(d(2, d(1, d(B, I8))), d(B, L8))), d(d(2, d(1, d(B, d(E, L8)))), d(B, d(E, I8))))))))))), M8=d(X4, d(Z1, d(Y1, d(Z1, N3)))), N8=d(X4, d(Z1, d(Y1, d(Z1, C8)))), O8=d(X4, M3), N4=d(X4, N3), P8=d(X4, d(Z3, d(d(A, d(d(2, d(1, D5)), d(B, Q8))), d(d(2, d(1, d(B, d(E, Q8)))), E4)))), R8=d(X4, C8), L8=d(X4, d(Z3, d(d(A, d(d(2, d(1, F5)), d(B, O8))), d(d(2, d(1, d(B, d(E, O8)))), I4)))), I6=d(X4, d(Z3, d(d(A, d(d(2, d(1, d(B, J8))), d(B, S8))), d(d(2, d(1, d(B, d(E, S8)))), d(B, d(E, J8)))))), E8=d(X4, d(Z3, d(d(A, d(d(2, d(1, G5)), E5)), d(d(2, d(1, G4)), Q2)))), Q8=d(X4, d(Z3, d(d(A, d(d(2, d(1, d(B, K8))), F5)), d(d(2, d(1, I4)), d(B, d(E, K8)))))), S8=d(X4, d(Z3, d(d(A, d(d(2, d(1, d(B, P8))), D5)), d(d(2, d(1, E4)), d(B, d(E, P8)))))), F8=d(Y4, S3), B6=d(Y4, d(E, d(I3, d(d(2, d(1, d(Z1, d(Z3, d(d(A, d(d(2, d(1, H5)), d(B, M8))), d(d(2, d(1, d(B, d(E, M8)))), M4)))))), d(3, d(Z, d(Z1, d(Z3, d(d(A, d(d(2, d(1, d(B, R8))), d(B, N8))), d(d(2, d(1, d(B, d(E, N8)))), d(B, d(E, R8))))))))))))]).
mm_proof(minimp, d(1, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, d(1, A))))), d(B, 1))))), C))))), C))-[B=d(2, d(1, 1)), A=d(d(2, 1), 1), C=d(B, A)]).
mm_proof('minimp-ax1', d(A, A)-[B=d(1, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, d(1, C))))), d(D, 1))))), E))))), E)), D=d(2, d(1, 1)), F=d(B, B), C=d(d(2, 1), 1), E=d(D, C), G=d(F, B), H=d(G, F), A=d(H, d(H, d(G, G)))]).
mm_proof('minimp-ax2c', d(d(d(d(A, d(B, B)), A), B), d(A, d(B, d(A, d(B, C)))))-[D=d(1, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, d(1, E))))), d(F, 1))))), G))))), G)), F=d(2, d(1, 1)), B=d(D, D), E=d(d(2, 1), 1), G=d(F, E), H=d(B, D), I=d(H, B), C=d(H, H), A=d(I, d(I, C))]).
mm_proof('minimp-ax2', d(d(A, B), A)-[C=d(1, d(d(2, d(1, d(2, d(d(2, d(1, 2)), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(2, d(1, D))))), d(E, 1))))), F))))), F)), E=d(2, d(1, 1)), G=d(C, C), D=d(d(2, 1), 1), F=d(E, D), H=d(G, C), I=d(H, G), J=d(H, H), K=d(I, d(I, J)), A=d(K, B), B=d(d(d(d(K, d(G, G)), K), G), d(K, d(G, d(K, d(G, J)))))]).
mm_proof(impsingle, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(B, d(C, d(d(2, d(D, d(A, E))), d(B, d(d(2, d(1, d(2, d(1, d(F, G))))), d(1, d(3, d(F, H))))))))), G)))))), d(d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, I))))), d(D, d(A, J))))), I))-[J=d(1, G), A=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, H))), E=d(2, J), F=d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, E)), d(A, d(d(2, d(1, d(d(2, d(B, d(C, G))), G))), H)))))), I))), G=d(d(2, 1), 1), I=d(A, G), H=d(B, I)]).
mm_proof('impsingle-step4', d(d(d(A, d(A, A)), A), A)-[B=d(1, C), D=d(2, d(1, 1)), E=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, H))), I=d(2, B), J=d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, I)), d(D, d(d(2, d(1, d(d(2, d(F, d(G, C))), C))), H)))))), K))), C=d(d(2, 1), 1), K=d(D, C), H=d(F, K), A=d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(F, d(G, d(d(2, d(E, d(D, I))), d(F, d(d(2, d(1, d(2, d(1, d(J, C))))), d(1, d(3, d(J, H))))))))), C)))))), d(d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, K))))), d(E, d(D, B))))), K))]).
mm_proof('impsingle-step15', d(d(d(d(A, d(A, d(A, d(A, d(d(d(d(A, d(A, d(A, d(d(d(A, d(A, A)), A), A)))), A), A), A))))), A), A), A)-[B=d(1, C), D=d(2, d(1, 1)), E=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, H))), I=d(2, B), J=d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, I)), d(D, d(d(2, d(1, d(d(2, d(F, d(G, C))), C))), H)))))), K))), C=d(d(2, 1), 1), K=d(D, C), H=d(F, K), A=d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(F, d(G, d(d(2, d(E, d(D, I))), d(F, d(d(2, d(1, d(2, d(1, d(J, C))))), d(1, d(3, d(J, H))))))))), C)))))), d(d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, K))))), d(E, d(D, B))))), K))]).
mm_proof('impsingle-step18', d(A, d(d(d(d(d(d(A, d(A, d(A, d(A, B)))), A), A), A), B), A))-[C=d(1, D), E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, I))), J=d(2, C), K=d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, J)), d(E, d(d(2, d(1, d(d(2, d(G, d(H, D))), D))), I)))))), L))), D=d(d(2, 1), 1), L=d(E, D), I=d(G, L), A=d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(G, d(H, d(d(2, d(F, d(E, J))), d(G, d(d(2, d(1, d(2, d(1, d(K, D))))), d(1, d(3, d(K, I))))))))), D)))))), d(d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, L))))), d(F, d(E, C))))), L)), B=d(d(d(d(A, d(A, d(A, d(d(d(A, d(A, A)), A), A)))), A), A), A)]).
mm_proof('impsingle-step19', d(d(A, A), A)-[B=d(1, C), D=d(2, d(1, 1)), E=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, H))), I=d(2, B), J=d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, I)), d(D, d(d(2, d(1, d(d(2, d(F, d(G, C))), C))), H)))))), K))), C=d(d(2, 1), 1), K=d(D, C), H=d(F, K), L=d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(F, d(G, d(d(2, d(E, d(D, I))), d(F, d(d(2, d(1, d(2, d(1, d(J, C))))), d(1, d(3, d(J, H))))))))), C)))))), d(d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, K))))), d(E, d(D, B))))), K)), A=d(L, d(d(d(d(d(d(L, d(L, d(L, d(L, M)))), L), L), L), M), L)), M=d(d(d(d(L, d(L, d(L, d(d(d(L, d(L, L)), L), L)))), L), L), L)]).
mm_proof('impsingle-step20', d(A, d(d(B, B), B))-[C=d(1, D), E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, I))), J=d(2, C), K=d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, J)), d(E, d(d(2, d(1, d(d(2, d(G, d(H, D))), D))), I)))))), L))), D=d(d(2, 1), 1), L=d(E, D), I=d(G, L), M=d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(G, d(H, d(d(2, d(F, d(E, J))), d(G, d(d(2, d(1, d(2, d(1, d(K, D))))), d(1, d(3, d(K, I))))))))), D)))))), d(d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, L))))), d(F, d(E, C))))), L)), B=d(M, d(d(d(A, M), N), M)), A=d(d(d(M, d(M, d(M, d(M, N)))), M), M), N=d(d(d(d(M, d(M, d(M, d(d(d(M, d(M, M)), M), M)))), M), M), M)]).
mm_proof('impsingle-step21', d(d(A, d(d(B, B), B)), C)-[D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, J))), K=d(2, D), L=d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, K)), d(F, d(d(2, d(1, d(d(2, d(H, d(I, E))), E))), J)))))), M))), E=d(d(2, 1), 1), M=d(F, E), J=d(H, M), N=d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(H, d(I, d(d(2, d(G, d(F, K))), d(H, d(d(2, d(1, d(2, d(1, d(L, E))))), d(1, d(3, d(L, J))))))))), E)))))), d(d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, M))))), d(G, d(F, D))))), M)), B=d(N, d(d(C, O), N)), A=d(d(d(N, d(N, d(N, d(N, O)))), N), N), C=d(A, N), O=d(d(d(d(N, d(N, d(N, d(d(d(N, d(N, N)), N), N)))), N), N), N)]).
mm_proof('impsingle-step25', d(A, d(B, d(d(C, d(d(D, D), D)), d(d(E, F), F))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, M))), N=d(2, G), O=d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, N)), d(I, d(d(2, d(1, d(d(2, d(K, d(L, H))), H))), M)))))), P))), H=d(d(2, 1), 1), P=d(I, H), M=d(K, P), Q=d(d(2, d(1, d(2, d(1, d(I, d(d(2, d(K, d(L, d(d(2, d(J, d(I, N))), d(K, d(d(2, d(1, d(2, d(1, d(O, H))))), d(1, d(3, d(O, M))))))))), H)))))), d(d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, P))))), d(J, d(I, G))))), P)), E=d(Q, F), D=d(Q, d(d(A, R), Q)), F=d(d(d(Q, d(Q, Q)), Q), Q), C=d(d(d(Q, d(Q, d(Q, d(Q, R)))), Q), Q), B=d(d(d(Q, d(Q, E)), Q), Q), A=d(C, Q), R=d(B, Q)]).
mm_proof(meredith, d(d(2, d(A, d(B, d(d(2, d(C, d(D, d(2, d(1, d(d(2, d(C, d(E, d(C, d(D, F))))), d(D, 1))))))), d(A, d(G, d(1, d(D, d(d(2, d(1, d(2, d(A, d(G, d(H, d(D, d(d(2, d(1, d(2, d(H, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), d(D, I))))), J)))))), J)))))))), J))))))))), K)-[F=d(1, K), D=d(2, d(1, 1)), C=d(2, d(1, 2)), A=d(2, d(1, 3)), E=d(2, d(1, d(2, d(1, d(C, J))))), G=d(2, d(1, d(2, d(1, d(d(2, d(A, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), d(D, d(d(2, d(1, d(d(2, d(A, d(B, K))), K))), I)))))), J))), K))))), B=d(2, d(1, d(2, I))), H=d(2, d(C, d(E, d(1, d(d(2, d(1, d(2, K))), J))))), K=d(d(2, 1), 1), J=d(D, K), I=d(A, J)]).
mm_proof(merlem1, d(A, d(A, A))-[B=d(1, C), D=d(2, d(1, 1)), E=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, H))))), I=d(2, d(1, d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), d(D, d(d(2, d(1, d(d(2, d(F, d(J, C))), C))), K)))))), H))), C))))), J=d(2, d(1, d(2, K))), L=d(2, d(E, d(G, d(1, d(d(2, d(1, d(2, C))), H))))), C=d(d(2, 1), 1), H=d(D, C), K=d(F, H), A=d(d(2, d(F, d(J, d(d(2, d(E, d(D, d(2, d(1, d(d(2, d(E, d(G, d(E, d(D, B))))), d(D, 1))))))), d(F, d(I, d(1, d(D, d(d(2, d(1, d(2, d(F, d(I, d(L, d(D, d(d(2, d(1, d(2, d(L, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), d(D, K))))), H)))))), H)))))))), H))))))))), C)]).
mm_proof(merlem2, d(A, d(A, d(A, A)))-[B=d(1, C), D=d(2, d(1, 1)), E=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, H))))), I=d(2, d(1, d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), d(D, d(d(2, d(1, d(d(2, d(F, d(J, C))), C))), K)))))), H))), C))))), J=d(2, d(1, d(2, K))), L=d(2, d(E, d(G, d(1, d(d(2, d(1, d(2, C))), H))))), C=d(d(2, 1), 1), H=d(D, C), K=d(F, H), A=d(d(2, d(F, d(J, d(d(2, d(E, d(D, d(2, d(1, d(d(2, d(E, d(G, d(E, d(D, B))))), d(D, 1))))))), d(F, d(I, d(1, d(D, d(d(2, d(1, d(2, d(F, d(I, d(L, d(D, d(d(2, d(1, d(2, d(L, d(D, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), d(D, K))))), H)))))), H)))))))), H))))))))), C)]).
mm_proof(merlem4, d(d(A, d(A, d(B, B))), A)-[C=d(1, D), E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, I))))), J=d(2, d(1, d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), d(E, d(d(2, d(1, d(d(2, d(G, d(K, D))), D))), L)))))), I))), D))))), K=d(2, d(1, d(2, L))), M=d(2, d(F, d(H, d(1, d(d(2, d(1, d(2, D))), I))))), D=d(d(2, 1), 1), I=d(E, D), L=d(G, I), A=d(d(2, d(G, d(K, d(d(2, d(F, d(E, d(2, d(1, d(d(2, d(F, d(H, d(F, d(E, C))))), d(E, 1))))))), d(G, d(J, d(1, d(E, d(d(2, d(1, d(2, d(G, d(J, d(M, d(E, d(d(2, d(1, d(2, d(M, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), d(E, L))))), I)))))), I)))))))), I))))))))), D), B=d(A, d(A, d(A, A)))]).
mm_proof(merlem5, d(d(d(A, d(d(d(A, d(A, d(B, B))), A), C)), A), A)-[D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, J))))), K=d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), d(F, d(d(2, d(1, d(d(2, d(H, d(L, E))), E))), M)))))), J))), E))))), L=d(2, d(1, d(2, M))), N=d(2, d(G, d(I, d(1, d(d(2, d(1, d(2, E))), J))))), E=d(d(2, 1), 1), J=d(F, E), M=d(H, J), A=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(2, d(1, d(d(2, d(G, d(I, d(G, d(F, D))))), d(F, 1))))))), d(H, d(K, d(1, d(F, d(d(2, d(1, d(2, d(H, d(K, d(N, d(F, d(d(2, d(1, d(2, d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(F, M))))), J)))))), J)))))))), J))))))))), E), C=d(A, d(A, A)), B=d(A, C)]).
mm_proof(merlem6, d(A, d(A, B))-[C=d(1, D), E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, I))))), J=d(2, d(1, d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), d(E, d(d(2, d(1, d(d(2, d(G, d(K, D))), D))), L)))))), I))), D))))), K=d(2, d(1, d(2, L))), M=d(2, d(F, d(H, d(1, d(d(2, d(1, d(2, D))), I))))), D=d(d(2, 1), 1), I=d(E, D), L=d(G, I), B=d(d(2, d(G, d(K, d(d(2, d(F, d(E, d(2, d(1, d(d(2, d(F, d(H, d(F, d(E, C))))), d(E, 1))))))), d(G, d(J, d(1, d(E, d(d(2, d(1, d(2, d(G, d(J, d(M, d(E, d(d(2, d(1, d(2, d(M, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), d(E, L))))), I)))))), I)))))))), I))))))))), D), N=d(B, d(B, d(B, B))), A=d(B, d(B, d(N, N)))]).
mm_proof(merlem7, d(d(A, d(A, d(B, C))), C)-[D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, J))))), K=d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), d(F, d(d(2, d(1, d(d(2, d(H, d(L, E))), E))), M)))))), J))), E))))), L=d(2, d(1, d(2, M))), N=d(2, d(G, d(I, d(1, d(d(2, d(1, d(2, E))), J))))), E=d(d(2, 1), 1), J=d(F, E), M=d(H, J), A=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(2, d(1, d(d(2, d(G, d(I, d(G, d(F, D))))), d(F, 1))))))), d(H, d(K, d(1, d(F, d(d(2, d(1, d(2, d(H, d(K, d(N, d(F, d(d(2, d(1, d(2, d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(F, M))))), J)))))), J)))))))), J))))))))), E), O=d(A, d(A, d(A, A))), B=d(A, d(A, d(O, O))), C=d(B, A)]).
mm_proof(merlem8, d(d(d(A, d(A, d(B, C))), C), A)-[D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, J))))), K=d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), d(F, d(d(2, d(1, d(d(2, d(H, d(L, E))), E))), M)))))), J))), E))))), L=d(2, d(1, d(2, M))), N=d(2, d(G, d(I, d(1, d(d(2, d(1, d(2, E))), J))))), E=d(d(2, 1), 1), J=d(F, E), M=d(H, J), A=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(2, d(1, d(d(2, d(G, d(I, d(G, d(F, D))))), d(F, 1))))))), d(H, d(K, d(1, d(F, d(d(2, d(1, d(2, d(H, d(K, d(N, d(F, d(d(2, d(1, d(2, d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(F, M))))), J)))))), J)))))))), J))))))))), E), O=d(A, d(A, d(A, A))), B=d(A, d(A, d(O, O))), C=d(B, A)]).
mm_proof(merlem9, d(A, d(A, d(d(d(d(A, d(A, B)), C), A), B)))-[D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, J))))), K=d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), d(F, d(d(2, d(1, d(d(2, d(H, d(L, E))), E))), M)))))), J))), E))))), L=d(2, d(1, d(2, M))), N=d(2, d(G, d(I, d(1, d(d(2, d(1, d(2, E))), J))))), E=d(d(2, 1), 1), J=d(F, E), M=d(H, J), A=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(2, d(1, d(d(2, d(G, d(I, d(G, d(F, D))))), d(F, 1))))))), d(H, d(K, d(1, d(F, d(d(2, d(1, d(2, d(H, d(K, d(N, d(F, d(d(2, d(1, d(2, d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(F, M))))), J)))))), J)))))))), J))))))))), E), O=d(A, d(A, d(A, A))), P=d(A, d(A, d(O, O))), C=d(P, A), B=d(P, C)]).
mm_proof(merlem10, d(d(d(A, d(A, d(d(d(d(A, d(A, B)), C), A), B))), A), A)-[D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, J))))), K=d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), d(F, d(d(2, d(1, d(d(2, d(H, d(L, E))), E))), M)))))), J))), E))))), L=d(2, d(1, d(2, M))), N=d(2, d(G, d(I, d(1, d(d(2, d(1, d(2, E))), J))))), E=d(d(2, 1), 1), J=d(F, E), M=d(H, J), A=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(2, d(1, d(d(2, d(G, d(I, d(G, d(F, D))))), d(F, 1))))))), d(H, d(K, d(1, d(F, d(d(2, d(1, d(2, d(H, d(K, d(N, d(F, d(d(2, d(1, d(2, d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(F, M))))), J)))))), J)))))))), J))))))))), E), O=d(A, d(A, d(A, A))), P=d(A, d(A, d(O, O))), C=d(P, A), B=d(P, C)]).
mm_proof(merlem12, d(d(d(A, A), B), d(C, d(D, d(d(d(B, d(C, E)), B), B))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, L))))), M=d(2, d(1, d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), d(H, d(d(2, d(1, d(d(2, d(J, d(N, G))), G))), O)))))), L))), G))))), N=d(2, d(1, d(2, O))), P=d(2, d(I, d(K, d(1, d(d(2, d(1, d(2, G))), L))))), G=d(d(2, 1), 1), L=d(H, G), O=d(J, L), B=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(2, d(1, d(d(2, d(I, d(K, d(I, d(H, F))))), d(H, 1))))))), d(J, d(M, d(1, d(H, d(d(2, d(1, d(2, d(J, d(M, d(P, d(H, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), d(H, O))))), L)))))), L)))))))), L))))))))), G), E=d(B, d(B, B)), D=d(B, E), Q=d(B, d(B, d(D, D))), C=d(Q, B), R=d(Q, C), A=d(d(d(B, d(B, d(d(d(d(B, d(B, R)), C), B), R))), B), B)]).
mm_proof(merlem13, d(A, d(B, d(C, d(d(A, d(C, d(D, E))), E))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, d(I, L))))), M=d(2, d(1, d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), d(H, d(d(2, d(1, d(d(2, d(J, d(N, G))), G))), O)))))), L))), G))))), N=d(2, d(1, d(2, O))), P=d(2, d(I, d(K, d(1, d(d(2, d(1, d(2, G))), L))))), G=d(d(2, 1), 1), L=d(H, G), O=d(J, L), A=d(d(2, d(J, d(N, d(d(2, d(I, d(H, d(2, d(1, d(d(2, d(I, d(K, d(I, d(H, F))))), d(H, 1))))))), d(J, d(M, d(1, d(H, d(d(2, d(1, d(2, d(J, d(M, d(P, d(H, d(d(2, d(1, d(2, d(P, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), d(H, O))))), L)))))), L)))))))), L))))))))), G), Q=d(A, d(A, A)), R=d(A, Q), S=d(A, d(A, d(R, R))), T=d(S, A), C=d(S, T), U=d(d(d(A, d(A, d(d(d(d(A, d(A, C)), T), A), C))), A), A), D=d(d(d(A, d(T, Q)), A), A), B=d(d(U, U), A), E=d(B, d(T, d(R, D)))]).
mm_proof(luklem2, d(d(A, d(d(A, A), d(A, d(B, C)))), A)-[D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, J))))), K=d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), d(F, d(d(2, d(1, d(d(2, d(H, d(L, E))), E))), M)))))), J))), E))))), L=d(2, d(1, d(2, M))), N=d(2, d(G, d(I, d(1, d(d(2, d(1, d(2, E))), J))))), E=d(d(2, 1), 1), J=d(F, E), M=d(H, J), O=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(2, d(1, d(d(2, d(G, d(I, d(G, d(F, D))))), d(F, 1))))))), d(H, d(K, d(1, d(F, d(d(2, d(1, d(2, d(H, d(K, d(N, d(F, d(d(2, d(1, d(2, d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(F, M))))), J)))))), J)))))))), J))))))))), E), B=d(O, d(O, O)), P=d(O, B), Q=d(O, d(O, d(P, P))), R=d(O, d(C, d(S, d(d(O, d(S, d(T, U))), U)))), V=d(Q, O), S=d(Q, V), A=d(d(O, d(R, R)), O), W=d(d(d(O, d(O, d(d(d(d(O, d(O, S)), V), O), S))), O), O), T=d(d(d(O, d(V, B)), O), O), C=d(d(W, W), O), U=d(C, d(V, d(P, T)))]).
mm_proof(luklem3, d(A, d(d(B, d(d(B, B), A)), B))-[C=d(1, D), E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, I))))), J=d(2, d(1, d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, C))), d(E, d(d(2, d(1, d(d(2, d(G, d(K, D))), D))), L)))))), I))), D))))), K=d(2, d(1, d(2, L))), M=d(2, d(F, d(H, d(1, d(d(2, d(1, d(2, D))), I))))), D=d(d(2, 1), 1), I=d(E, D), L=d(G, I), N=d(d(2, d(G, d(K, d(d(2, d(F, d(E, d(2, d(1, d(d(2, d(F, d(H, d(F, d(E, C))))), d(E, 1))))))), d(G, d(J, d(1, d(E, d(d(2, d(1, d(2, d(G, d(J, d(M, d(E, d(d(2, d(1, d(2, d(M, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), d(E, L))))), I)))))), I)))))))), I))))))))), D), O=d(N, d(N, N)), P=d(N, O), Q=d(N, d(N, d(P, P))), R=d(N, d(S, d(T, d(d(N, d(T, d(U, V))), V)))), W=d(Q, N), T=d(Q, W), B=d(d(N, d(R, R)), N), X=d(d(d(N, d(N, d(d(d(d(N, d(N, T)), W), N), T))), N), N), A=d(B, d(O, S)), U=d(d(d(N, d(W, O)), N), N), S=d(d(X, X), N), V=d(S, d(W, d(P, U)))]).
mm_proof(luklem4, d(d(A, d(A, d(d(d(B, d(d(A, d(d(A, A), B)), A)), C), C))), C)-[D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, J))))), K=d(2, d(1, d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), d(F, d(d(2, d(1, d(d(2, d(H, d(L, E))), E))), M)))))), J))), E))))), L=d(2, d(1, d(2, M))), N=d(2, d(G, d(I, d(1, d(d(2, d(1, d(2, E))), J))))), E=d(d(2, 1), 1), J=d(F, E), M=d(H, J), O=d(d(2, d(H, d(L, d(d(2, d(G, d(F, d(2, d(1, d(d(2, d(G, d(I, d(G, d(F, D))))), d(F, 1))))))), d(H, d(K, d(1, d(F, d(d(2, d(1, d(2, d(H, d(K, d(N, d(F, d(d(2, d(1, d(2, d(N, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(F, M))))), J)))))), J)))))))), J))))))))), E), P=d(O, d(O, O)), Q=d(O, P), R=d(O, d(O, d(Q, Q))), S=d(O, d(T, d(U, d(d(O, d(U, d(V, W))), W)))), X=d(R, O), U=d(R, X), A=d(d(O, d(S, S)), O), Y=d(d(d(O, d(O, d(d(d(d(O, d(O, U)), X), O), U))), O), O), B=d(A, d(P, T)), V=d(d(d(O, d(X, P)), O), O), T=d(d(Y, Y), O), C=d(T, d(O, d(T, d(X, V)))), W=d(T, d(X, d(Q, V)))]).
mm_proof('nic-dfim', d(d(A, d(d(B, d(C, d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, F))))), d(E, d(E, d(d(B, d(d(2, d(1, d(A, G))), d(A, H))), d(C, d(A, d(E, G)))))))-[I=d(1, 1), J=d(1, K), L=d(1, d(d(2, d(1, M)), N)), O=d(1, P), Q=d(1, R), S=d(2, I), T=d(2, d(1, 2)), U=d(2, d(1, 3)), V=d(2, d(1, d(2, d(1, d(T, N))))), W=d(2, d(1, d(2, d(1, X)))), Y=d(2, d(1, d(2, Z))), A1=d(2, d(1, d(2, K))), B1=d(2, d(1, d(2, C1))), D1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, E1))))), F1)))), G1=d(2, d(1, d(2, B))), Z=d(2, J), H1=d(2, d(1, A)), M=d(2, O), I1=d(2, d(1, J1)), K1=d(2, d(1, L1)), M1=d(2, d(1, N1)), O1=d(2, d(1, d(A, P1))), Q1=d(2, d(1, d(A, d(E, R1)))), C=d(2, d(1, d(A, F))), S1=d(2, d(1, d(A, d(E, T1)))), U1=d(2, d(1, d(A, V1))), W1=d(2, d(1, d(A, d(E, X1)))), Y1=d(2, d(1, d(A, d(E, Z1)))), A2=d(2, d(1, B2)), C2=d(2, d(1, D2)), E2=d(2, d(1, F2)), G2=d(2, d(T, d(S, d(1, d(I1, K))))), H2=d(2, d(T, d(V, d(1, I2)))), J2=d(2, d(T, d(V, d(T, d(S, J))))), K2=d(2, d(U, L2)), M2=d(3, d(K2, C1)), N2=d(3, d(K2, d(d(2, d(1, d(2, d(U, d(W, L2))))), N))), K=d(d(2, 1), 1), O2=d(S, 1), N=d(S, K), P2=d(S, Q2), R2=d(S, S2), C1=d(U, N), F1=d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I2))), R2)))), N)), B=d(d(2, d(1, d(2, d(1, d(N2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), F1), I2=d(A1, N), T2=d(B1, N), L2=d(d(2, d(1, d(2, d(d(2, d(1, Z)), R2)))), N), U2=d(D1, N), A=d(d(2, d(1, M2)), d(M2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V2=d(d(2, d(1, N2)), W2), P=d(d(2, d(1, d(3, d(K2, d(d(2, d(1, d(2, d(U, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, N))), R2)))), N)))))), N))))), X2), Y2=d(d(2, d(1, d(3, d(K2, d(d(2, d(1, d(2, d(U, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U2))), R2)))), N)))))), N))))), X2), Q2=d(d(2, d(1, d(3, d(K2, d(d(2, d(1, d(2, d(U, d(W, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, E1))))), F1)))), N)))), R2)))), N)))))), N))))), X2), S2=d(d(2, d(1, Z2)), C1), R=d(K1, 1), J1=d(K1, T2), Z2=d(d(2, d(U, d(B1, K))), K), A3=d(d(2, d(U, d(B1, d(d(2, d(T, d(S, Q))), d(U, d(W, d(d(2, d(1, I1)), B3))))))), K), X=d(K2, K), C3=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, O))))), N))), U2)))), N)), K), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, A))))), N))), V2)))), N)), K), D3=d(d(3, d(3, d(1, E3))), E3), X2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), B3=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W2=d(A, D3), E1=d(A, F3), L1=d(A, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G3=d(A, d(E, H3)), N1=d(A, H3), I3=d(A, d(E, J3)), K3=d(A, d(E, L3)), M3=d(A, d(E, N3)), B2=d(A, d(E, O3)), P3=d(A, Q3), R3=d(A, d(d(B, d(d(2, d(1, d(A, S3))), d(A, T3))), d(d(2, d(1, d(A, d(E, T3)))), d(A, d(E, S3))))), U3=d(A, R1), V3=d(A, T1), D2=d(A, J3), W3=d(A, X3), Y3=d(A, L3), Z3=d(A, A4), F2=d(A, N3), B4=d(A, X1), C4=d(A, Z1), D4=d(A, O3), E4=d(d(E2, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, I))))), N))), I2)))), N)), K)), d(L1, K)), E3=d(Z2, d(d(2, d(1, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R2)))), N))), K))), d(3, d(K2, d(d(2, d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K2, d(d(2, d(1, d(2, d(U, d(W, d(d(2, d(1, d(2, d(G1, R2)))), N)))))), N)))))), R2)))), N))), K))))), F4=d(C3, P), F3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G4=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), H4=d(E, d(E, d(d(B, d(d(2, d(1, d(A, I4))), d(A, J4))), d(d(2, d(1, d(A, d(E, J4)))), d(A, d(E, I4)))))), H3=d(E, Q3), P1=d(E, K4), F=d(E, H), L4=d(E, d(d(B, d(d(2, d(1, d(A, M4))), V3)), d(S1, d(A, d(E, M4))))), S3=d(E, d(d(B, d(d(2, d(1, d(A, N4))), B4)), d(W1, d(A, d(E, N4))))), O4=d(E, d(d(B, d(d(2, d(1, d(A, P4))), d(A, E4))), d(d(2, d(1, d(A, d(E, E4)))), d(A, d(E, P4))))), Q4=d(E, d(d(B, d(d(2, d(1, d(A, R4))), W3)), d(U1, d(A, d(E, R4))))), V1=d(E, X3), S4=d(E, d(Y3, d(1, d(d(B, d(d(2, d(1, d(A, T4))), W3)), d(U1, d(A, d(E, T4))))))), Q3=d(d(B, Y2), Y2), K4=d(d(B, d(d(2, d(1, E1)), W2)), d(d(2, d(1, d(A, d(E, D3)))), d(A, d(E, F3)))), U4=d(d(B, d(d(2, d(1, d(A, H4))), d(A, V4))), d(d(2, d(1, d(A, d(E, V4)))), d(A, d(E, H4)))), W4=d(d(B, d(M1, C4)), d(Y1, G3)), X4=d(d(B, d(M1, d(A, Y4))), d(d(2, d(1, d(A, d(E, Y4)))), G3)), Z4=d(d(B, d(O1, d(A, F4))), d(d(2, d(1, d(A, d(E, F4)))), d(A, d(E, P1)))), I4=d(d(B, d(d(2, d(1, d(A, L4))), d(A, O4))), d(d(2, d(1, d(A, d(E, O4)))), d(A, d(E, L4)))), R1=d(d(B, d(d(2, d(1, d(A, Q4))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, G4))), d(A, d(E, Q4)))), H=d(d(B, d(d(2, d(1, d(A, S4))), U3)), d(Q1, d(A, d(E, S4)))), A5=d(d(B, d(d(2, d(1, d(A, U4))), d(A, K4))), d(O1, d(A, d(E, U4)))), B5=d(d(B, d(d(2, d(1, d(A, W4))), P3)), d(M1, d(A, d(E, W4)))), C5=d(d(B, d(d(2, d(1, d(A, X4))), P3)), d(M1, d(A, d(E, X4)))), J4=d(d(B, d(d(2, d(1, d(A, C5))), d(A, D5))), d(d(2, d(1, d(A, d(E, D5)))), d(A, d(E, C5)))), M4=d(d(B, d(d(2, d(1, d(A, E5))), D2)), d(d(2, d(1, I3)), d(A, d(E, E5)))), T3=d(d(B, d(d(2, d(1, d(A, F5))), d(A, G5))), d(d(2, d(1, d(A, d(E, G5)))), d(A, d(E, F5)))), N4=d(d(B, d(d(2, d(1, d(A, H5))), F2)), d(d(2, d(1, M3)), d(A, d(E, H5)))), D=d(d(B, d(d(2, d(1, d(A, I5))), d(A, A5))), d(d(2, d(1, d(A, d(E, A5)))), d(A, d(E, I5)))), E5=d(d(B, d(C2, V3)), d(S1, I3)), F5=d(d(B, d(d(2, d(1, Z3)), Y3)), d(d(2, d(1, K3)), d(A, d(E, A4)))), H5=d(d(B, d(E2, B4)), d(W1, M3)), I5=d(d(B, d(d(2, d(1, d(A, J5))), B3)), d(K1, d(A, d(E, J5)))), T1=d(d(B, d(d(2, d(U, d(B1, d(G2, d(U, d(W, d(d(2, d(1, d(2, d(1, d(C2, d(I1, P3)))))), B3))))))), K)), d(d(2, d(U, d(B1, d(G2, d(U, d(W, d(d(2, d(1, d(2, d(1, d(C2, d(I1, N1)))))), B3))))))), K)), J3=d(d(B, A3), A3), K5=d(d(B, d(d(2, d(U, d(B1, d(d(2, d(T, d(S, Z))), d(U, d(W, J)))))), K)), 1), X3=d(d(B, X), S2), L3=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, d(T, d(2, d(1, V2)))))))), N))), d(T, H1))))), N)), K)), d(d(2, d(T, d(d(2, d(1, d(2, d(1, B)))), d(H2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), O2)))), N)))))), d(H2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V2))), O2)))), N))))), A4=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, d(U, d(H1, L5))))))), N))), d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H1, d(E2, L5))))), N)))), N)))))), N)), K)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, d(U, d(H1, K))))))), N))), d(U, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H1, d(E2, K))))), N)))), N)))))), N)), K)), N3=d(d(B, E), E), P4=d(d(B, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(S, d(d(2, d(1, d(2, d(Y, d(S, R))))), N)))))), N))), d(d(2, d(1, d(2, d(Y, d(S, J1))))), N))), K)), d(d(2, d(1, d(2, d(d(2, d(U, d(B1, d(d(2, d(T, d(S, d(1, d(d(2, d(1, d(2, P))), N))))), d(U, d(W, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, Q2))), N))))), B3))))))), K)))), N)), X1=d(d(B, d(K3, d(d(B, d(d(2, d(1, d(A, M5))), D4)), d(A2, d(A, d(E, M5)))))), d(K3, d(d(B, d(d(2, d(1, d(A, N5))), D4)), d(A2, d(A, d(E, N5)))))), J5=d(d(d(d(2, d(1, d(2, d(1, d(K3, d(d(B, d(d(2, d(1, d(A, O5))), d(A, P5))), d(d(2, d(1, d(A, d(E, P5)))), d(A, d(E, O5))))))))), F1), G4), d(d(B, d(d(2, d(1, d(A, B5))), C4)), d(Y1, d(A, d(E, B5))))), L5=d(K3, d(d(B, d(d(2, d(1, d(A, Q5))), d(A, R5))), d(d(2, d(1, d(A, d(E, R5)))), d(A, d(E, Q5))))), Z1=d(R3, d(1, d(E, d(d(B, d(d(2, d(1, d(A, K5))), U3)), d(Q1, d(A, d(E, K5))))))), V4=d(R3, d(1, d(d(B, d(U, d(W, d(d(2, d(1, d(2, d(A1, R2)))), N)))), 3))), Y4=d(R3, d(1, d(Y3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, d(d(2, d(1, d(2, d(d(2, d(U, d(B1, d(d(2, d(T, d(S, L))), d(U, d(W, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T2))), P2)))), N)))), N))))), B3))))))), K)))), N)))))), N))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I1, E1))))), F1)))), N))))), N)), K)))), D5=d(R3, d(1, d(Y3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, d(d(2, d(1, d(2, d(d(2, d(U, d(B1, d(d(2, d(T, d(S, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(B1, P2)))), N)))), N))))), d(U, d(W, d(d(2, d(1, d(2, L))), B3))))))), K)))), N)))))), N))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, Q), E1))))), F1)))), N))))), N)), K)))), M5=d(Y3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N5=d(Y3, d(1, F3)), S5=d(Y3, d(1, V1)), G=d(Y3, d(1, d(E, d(d(A, d(d(B, d(d(2, d(1, d(A, Z4))), d(A, T5))), d(d(2, d(1, d(A, d(E, T5)))), d(A, d(E, Z4))))), K)))), U5=d(Y3, d(1, Q3)), Q5=d(Y3, d(1, X3)), G5=d(Y3, d(1, A4)), O3=d(Y3, K), O5=d(Y3, d(d(2, d(1, Y3)), d(S, N2))), V5=d(Y3, C3), P5=d(Y3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(S, d(J2, d(S, d(H1, M2)))))))), N))), d(J2, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H1, d(E2, M2))))), N)))), N))))))), N)), K)), T5=d(Y3, d(K3, d(d(B, d(d(2, d(1, d(A, U5))), d(A, V5))), d(d(2, d(1, d(A, d(E, V5)))), d(A, d(E, U5)))))), R5=d(Y3, d(K3, d(d(B, d(d(2, d(1, D4)), d(A, S5))), d(d(2, d(1, d(A, d(E, S5)))), B2)))), R4=d(Z3, F3), T4=d(Z3, G4)]).
mm_proof('nic-dfneg', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), d(A, D))), d(d(2, d(1, d(A, d(E, D)))), d(A, d(E, C))))), d(E, F))-[G=d(1, 1), H=d(1, I), J=d(1, d(d(2, d(1, K)), L)), M=d(1, N), O=d(2, G), P=d(2, d(1, 2)), Q=d(2, d(1, 3)), R=d(2, d(1, d(2, d(1, d(P, L))))), S=d(2, d(1, d(2, d(1, T)))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, I))), X=d(2, d(1, d(2, Y))), Z=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, A1))))), B1)))), C1=d(2, d(1, d(2, B))), V=d(2, H), D1=d(2, d(1, A)), K=d(2, d(1, E1)), F1=d(2, d(1, G1)), H1=d(2, d(1, I1)), J1=d(2, d(1, K1)), L1=d(2, d(1, d(A, d(E, M1)))), N1=d(2, d(1, d(A, d(E, O1)))), P1=d(2, d(1, d(A, Q1))), R1=d(2, d(1, d(A, d(E, S1)))), T1=d(2, d(1, d(A, d(E, U1)))), V1=d(2, d(1, W1)), X1=d(2, d(1, Y1)), Z1=d(2, d(1, A2)), B2=d(2, d(P, d(O, d(1, d(F1, I))))), C2=d(2, d(P, d(R, d(1, D2)))), E2=d(2, d(P, d(R, d(P, d(O, H))))), F2=d(2, d(Q, G2)), H2=d(3, d(F2, Y)), I2=d(3, d(F2, d(d(2, d(1, d(2, d(Q, d(S, G2))))), L))), I=d(d(2, 1), 1), J2=d(O, 1), L=d(O, I), K2=d(O, L2), M2=d(O, N2), Y=d(Q, L), B1=d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D2))), M2)))), L)), B=d(d(2, d(1, d(2, d(1, d(I2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1), D2=d(W, L), O2=d(X, L), G2=d(d(2, d(1, d(2, d(d(2, d(1, V)), M2)))), L), A=d(d(2, d(1, H2)), d(H2, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P2=d(d(2, d(1, I2)), Q2), E1=d(d(2, d(1, d(3, d(F2, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), M2)))), L)))))), L))))), R2), S2=d(d(2, d(1, d(3, d(F2, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Z, L)))), M2)))), L)))))), L))))), R2), L2=d(d(2, d(1, d(3, d(F2, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K, A1))))), B1)))), L)))), M2)))), L)))))), L))))), R2), N2=d(d(2, d(1, T2)), Y), N=d(H1, 1), G1=d(H1, O2), T2=d(d(2, d(Q, d(X, I))), I), U2=d(d(2, d(Q, d(X, d(d(2, d(P, d(O, M))), d(Q, d(S, d(d(2, d(1, F1)), V2))))))), I), T=d(F2, I), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(O, A))))), L))), P2)))), L)), I), W2=d(d(3, d(3, d(1, X2))), X2), R2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V2=d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q2=d(A, W2), A1=d(A, Y2), I1=d(A, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z2=d(A, d(E, A3)), K1=d(A, A3), B3=d(A, d(E, C3)), D3=d(A, d(E, E3)), F3=d(A, d(E, G3)), W1=d(A, d(E, H3)), I3=d(A, J3), K3=d(A, d(d(B, d(d(2, d(1, d(A, L3))), d(A, M3))), d(d(2, d(1, d(A, d(E, M3)))), d(A, d(E, L3))))), N3=d(A, M1), O3=d(A, O1), Y1=d(A, C3), P3=d(A, Q3), R3=d(A, E3), S3=d(A, T3), A2=d(A, G3), U3=d(A, S1), V3=d(A, U1), W3=d(A, H3), X3=d(d(Z1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(O, G))))), L))), D2)))), L)), I)), d(I1, I)), X2=d(T2, d(d(2, d(1, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M2)))), L))), I))), d(3, d(F2, d(d(2, d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F2, d(d(2, d(1, d(2, d(Q, d(S, d(d(2, d(1, d(2, d(C1, M2)))), L)))))), L)))))), M2)))), L))), I))))), Y2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y3=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z3=d(E, d(E, d(d(B, d(d(2, d(1, d(A, A4))), d(A, B4))), d(d(2, d(1, d(A, d(E, B4)))), d(A, d(E, A4)))))), A3=d(E, J3), C=d(E, d(d(B, d(d(2, d(1, d(A, C4))), N3)), d(L1, d(A, d(E, C4))))), D4=d(E, d(d(B, d(d(2, d(1, d(A, E4))), O3)), d(N1, d(A, d(E, E4))))), L3=d(E, d(d(B, d(d(2, d(1, d(A, F4))), U3)), d(R1, d(A, d(E, F4))))), F=d(E, d(d(B, d(d(2, d(1, d(A, G4))), N3)), d(L1, d(A, d(E, G4))))), H4=d(E, d(d(B, d(d(2, d(1, d(A, I4))), d(A, X3))), d(d(2, d(1, d(A, d(E, X3)))), d(A, d(E, I4))))), J4=d(E, d(d(B, d(d(2, d(1, d(A, K4))), P3)), d(P1, d(A, d(E, K4))))), Q1=d(E, Q3), C4=d(E, d(R3, d(1, d(d(B, d(d(2, d(1, d(A, L4))), P3)), d(P1, d(A, d(E, L4))))))), J3=d(d(B, S2), S2), M4=d(d(B, d(d(2, d(1, A1)), Q2)), d(d(2, d(1, d(A, d(E, W2)))), d(A, d(E, Y2)))), N4=d(d(B, d(d(2, d(1, d(A, Z3))), d(A, O4))), d(d(2, d(1, d(A, d(E, O4)))), d(A, d(E, Z3)))), P4=d(d(B, d(J1, V3)), d(T1, Z2)), Q4=d(d(B, d(J1, d(A, R4))), d(d(2, d(1, d(A, d(E, R4)))), Z2)), A4=d(d(B, d(d(2, d(1, d(A, D4))), d(A, H4))), d(d(2, d(1, d(A, d(E, H4)))), d(A, d(E, D4)))), M1=d(d(B, d(d(2, d(1, d(A, J4))), d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(A, Y3))), d(A, d(E, J4)))), S4=d(d(B, d(d(2, d(1, d(A, N4))), d(A, M4))), d(d(2, d(1, d(A, d(E, M4)))), d(A, d(E, N4)))), T4=d(d(B, d(d(2, d(1, d(A, P4))), I3)), d(J1, d(A, d(E, P4)))), U4=d(d(B, d(d(2, d(1, d(A, Q4))), I3)), d(J1, d(A, d(E, Q4)))), B4=d(d(B, d(d(2, d(1, d(A, U4))), d(A, V4))), d(d(2, d(1, d(A, d(E, V4)))), d(A, d(E, U4)))), E4=d(d(B, d(d(2, d(1, d(A, W4))), Y1)), d(d(2, d(1, B3)), d(A, d(E, W4)))), M3=d(d(B, d(d(2, d(1, d(A, X4))), d(A, Y4))), d(d(2, d(1, d(A, d(E, Y4)))), d(A, d(E, X4)))), F4=d(d(B, d(d(2, d(1, d(A, Z4))), A2)), d(d(2, d(1, F3)), d(A, d(E, Z4)))), D=d(d(B, d(d(2, d(1, d(A, A5))), d(A, S4))), d(d(2, d(1, d(A, d(E, S4)))), d(A, d(E, A5)))), W4=d(d(B, d(X1, O3)), d(N1, B3)), X4=d(d(B, d(d(2, d(1, S3)), R3)), d(d(2, d(1, D3)), d(A, d(E, T3)))), Z4=d(d(B, d(Z1, U3)), d(R1, F3)), A5=d(d(B, d(d(2, d(1, d(A, B5))), V2)), d(H1, d(A, d(E, B5)))), O1=d(d(B, d(d(2, d(Q, d(X, d(B2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(X1, d(F1, I3)))))), V2))))))), I)), d(d(2, d(Q, d(X, d(B2, d(Q, d(S, d(d(2, d(1, d(2, d(1, d(X1, d(F1, K1)))))), V2))))))), I)), C3=d(d(B, U2), U2), G4=d(d(B, d(d(2, d(Q, d(X, d(d(2, d(P, d(O, V))), d(Q, d(S, H)))))), I)), 1), Q3=d(d(B, T), N2), E3=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(O, d(P, d(2, d(1, P2)))))))), L))), d(P, D1))))), L)), I)), d(d(2, d(P, d(d(2, d(1, d(2, d(1, B)))), d(C2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), J2)))), L)))))), d(C2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P2))), J2)))), L))))), T3=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(O, d(Q, d(D1, C5))))))), L))), d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D1, d(Z1, C5))))), L)))), L)))))), L)), I)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(O, d(Q, d(D1, I))))))), L))), d(Q, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D1, d(Z1, I))))), L)))), L)))))), L)), I)), G3=d(d(B, E), E), I4=d(d(B, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(O, d(d(2, d(1, d(2, d(U, d(O, N))))), L)))))), L))), d(d(2, d(1, d(2, d(U, d(O, G1))))), L))), I)), d(d(2, d(1, d(2, d(d(2, d(Q, d(X, d(d(2, d(P, d(O, d(1, d(d(2, d(1, d(2, E1))), L))))), d(Q, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, L2))), L))))), V2))))))), I)))), L)), S1=d(d(B, d(D3, d(d(B, d(d(2, d(1, d(A, D5))), W3)), d(V1, d(A, d(E, D5)))))), d(D3, d(d(B, d(d(2, d(1, d(A, E5))), W3)), d(V1, d(A, d(E, E5)))))), B5=d(d(d(d(2, d(1, d(2, d(1, d(D3, d(d(B, d(d(2, d(1, d(A, F5))), d(A, G5))), d(d(2, d(1, d(A, d(E, G5)))), d(A, d(E, F5))))))))), B1), Y3), d(d(B, d(d(2, d(1, d(A, T4))), V3)), d(T1, d(A, d(E, T4))))), C5=d(D3, d(d(B, d(d(2, d(1, d(A, H5))), d(A, I5))), d(d(2, d(1, d(A, d(E, I5)))), d(A, d(E, H5))))), U1=d(K3, d(1, F)), O4=d(K3, d(1, d(d(B, d(Q, d(S, d(d(2, d(1, d(2, d(W, M2)))), L)))), 3))), R4=d(K3, d(1, d(R3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(O, d(d(2, d(1, d(2, d(d(2, d(Q, d(X, d(d(2, d(P, d(O, J))), d(Q, d(S, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O2))), K2)))), L)))), L))))), V2))))))), I)))), L)))))), L))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, A1))))), B1)))), L))))), L)), I)))), V4=d(K3, d(1, d(R3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(O, d(d(2, d(1, d(2, d(d(2, d(Q, d(X, d(d(2, d(P, d(O, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, K2)))), L)))), L))))), d(Q, d(S, d(d(2, d(1, d(2, J))), V2))))))), I)))), L)))))), L))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, M), A1))))), B1)))), L))))), L)), I)))), D5=d(R3, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E5=d(R3, d(1, Y2)), J5=d(R3, d(1, Q1)), H5=d(R3, d(1, Q3)), Y4=d(R3, d(1, T3)), H3=d(R3, I), F5=d(R3, d(d(2, d(1, R3)), d(O, I2))), G5=d(R3, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(O, d(E2, d(O, d(D1, H2)))))))), L))), d(E2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(D1, d(Z1, H2))))), L)))), L))))))), L)), I)), I5=d(R3, d(D3, d(d(B, d(d(2, d(1, W3)), d(A, J5))), d(d(2, d(1, d(A, d(E, J5)))), W1)))), K4=d(S3, Y2), L4=d(S3, Y3)]).
mm_proof('nic-mp', d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), E)))), D)))))), D))))), F)))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(G, d(d(H, I), I))))), d(G, d(d(H, d(d(2, d(1, d(G, J))), d(G, K))), d(d(2, d(1, d(G, d(L, K)))), d(G, d(L, J))))))))-[M=d(2, d(1, 1)), N=d(2, d(1, 2)), B=d(2, d(1, 3)), C=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, H))), Q=d(2, d(1, R)), S=d(2, d(1, G)), T=d(2, d(1, d(G, U))), V=d(2, d(1, d(G, d(d(H, L), L)))), W=d(2, d(N, d(d(2, d(1, d(2, d(1, d(N, D))))), d(1, X)))), A=d(2, d(B, Y)), Z=d(3, d(A, A1)), B1=d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, Y))))), D))), R=d(d(2, 1), 1), C1=d(M, 1), D=d(M, R), E=d(M, D1), A1=d(B, D), E1=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), E)))), D)), H=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1), X=d(d(2, d(1, d(2, R))), D), Y=d(d(2, d(1, d(2, d(d(2, d(1, Q)), E)))), D), G=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, B1)), d(G, d(d(3, d(3, d(1, G1))), G1))), I=d(d(2, d(1, d(3, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(G, H1)))))), E1)))), D)))), E)))), D)))))), D))))), F), D1=d(d(2, d(1, I1)), A1), I1=d(d(2, d(B, d(d(2, d(1, d(2, A1))), R))), R), O=d(A, R), L=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, G))))), D))), F1)))), D)), R), F=d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(G, d(L, K1)), L1=d(G, M1), N1=d(G, K1), O1=d(G, d(d(H, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(B, d(S, P1))))))), D))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, d(V, P1))))), D)))), D)))))), D)), R)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(B, d(S, R))))))), D))), d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, d(V, R))))), D)))), D)))))), D)), R))), G1=d(I1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E)))), D))), R))), d(3, d(A, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(2, d(P, E)))), D)))))), D)))))), E)))), D))), R))))), H1=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R1=d(L, d(d(H, d(d(2, d(1, d(G, S1))), L1)), d(T, d(G, d(L, S1))))), U=d(L, M1), J=d(L, d(N1, d(1, d(d(H, d(d(2, d(1, d(G, T1))), L1)), d(T, d(G, d(L, T1))))))), K=d(d(H, d(d(2, d(1, d(G, R1))), d(G, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(d(2, d(1, d(G, Q1))), d(G, d(L, R1)))), M1=d(d(H, O), D1), K1=d(d(H, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(M, d(N, d(2, d(1, F1)))))))), D))), d(N, S))))), D)), R)), d(d(2, d(N, d(d(2, d(1, d(2, d(1, H)))), d(W, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), C1)))), D)))))), d(W, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), C1)))), D))))), P1=d(J1, d(d(H, d(d(2, d(1, d(G, U1))), d(G, V1))), d(d(2, d(1, d(G, d(L, V1)))), d(G, d(L, U1))))), W1=d(N1, d(1, U)), U1=d(N1, d(1, M1)), X1=d(N1, R), V1=d(N1, d(J1, d(d(H, d(d(2, d(1, d(G, X1))), d(G, W1))), d(d(2, d(1, d(G, d(L, W1)))), d(G, d(L, X1)))))), S1=d(O1, H1), T1=d(O1, Q1)]).
mm_proof('nic-ax', d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(d(2, d(1, d(D, d(E, d(d(F, d(d(2, d(1, d(D, G))), H)), d(d(2, d(1, A)), d(D, d(E, G)))))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(E, d(E, d(d(F, d(d(2, d(1, d(D, I))), d(D, J))), d(d(2, d(1, d(D, d(E, J)))), K))))))))), d(L, d(C, d(M, d(N, O)))))))), d(C, K))))), P)))), d(d(2, d(1, d(2, Q))), H))))))), P))), d(1, d(A, d(D, R))))), S))-[Q=d(1, T), C=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, U)))), V=d(2, d(1, d(2, S))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, X))))), Y)))), Z=d(2, d(1, d(2, F))), W=d(2, d(1, S)), A1=d(2, d(1, D)), B1=d(2, d(1, d(D, C1))), D1=d(2, d(1, d(D, E1))), F1=d(2, d(1, d(D, G1))), H1=d(2, d(1, d(D, d(d(F, E), E)))), I1=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, P))))), d(1, J1)))), K1=d(2, d(M, L1)), M1=d(3, d(K1, N1)), O1=d(3, d(K1, d(d(2, d(1, d(2, d(M, d(N, L1))))), P))), S=d(d(2, 1), 1), P1=d(C, 1), P=d(C, S), Q1=d(C, R1), N1=d(M, P), S1=d(M, O), Y=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), Q1)))), P)), F=d(d(2, d(1, d(2, d(1, d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), J1=d(V, P), L1=d(d(2, d(1, d(2, d(d(2, d(1, W)), Q1)))), P), T1=d(B, P), O=d(d(2, d(1, d(2, d(V, Q1)))), P), D=d(d(2, d(1, M1)), d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U1=d(d(2, d(1, O1)), V1), T=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), Q1)))), P)))))), P))))), W1), X1=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T1))), Q1)))), P)))))), P))))), W1), R1=d(d(2, d(1, Y1)), N1), Y1=d(d(2, d(M, d(d(2, d(1, d(2, N1))), S))), S), U=d(K1, S), Z1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, Q))))), P))), T1)))), P)), S), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, D))))), P))), U1)))), P)), S), A2=d(d(3, d(3, d(1, B2))), B2), W1=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V1=d(D, A2), X=d(D, C2), K=d(D, d(E, I)), A=d(D, d(E, D2)), E2=d(D, d(E, F2)), H=d(D, D2), G2=d(D, H2), I2=d(D, F2), J2=d(D, d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, d(M, d(A1, K2))))))), P))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H1, K2))))), P)))), P)))))), P)), S)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, d(M, d(A1, S))))))), P))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H1, S))))), P)))), P)))))), P)), S))), B2=d(Y1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q1)))), P))), S))), d(3, d(K1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K1, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Z, Q1)))), P)))))), P)))))), Q1)))), P))), S))))), L2=d(Z1, T), C2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(E, d(d(F, d(d(2, d(1, X)), V1)), d(d(2, d(1, d(D, d(E, A2)))), d(D, d(E, C2))))), E1=d(E, N2), G1=d(E, H2), O2=d(E, d(I2, d(1, d(d(F, d(d(2, d(1, d(D, P2))), G2)), d(F1, d(D, d(E, P2))))))), J=d(d(F, S1), S1), I=d(d(F, d(B1, d(D, N2))), d(D1, d(D, d(E, C1)))), Q2=d(d(F, d(d(2, d(1, d(D, M2))), d(D, L2))), d(d(2, d(1, d(D, d(E, L2)))), d(D, d(E, M2)))), R2=d(d(F, d(D1, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(B1, d(D, d(E, E1)))), D2=d(d(F, d(d(2, d(1, d(D, O2))), d(D, R2))), d(d(2, d(1, d(D, d(E, R2)))), d(D, d(E, O2)))), N2=d(d(F, d(d(2, d(1, d(D, S2))), G2)), d(F1, d(D, d(E, S2)))), H2=d(d(F, U), R1), F2=d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, d(L, d(2, d(1, U1)))))))), P))), d(L, A1))))), P)), S)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, F)))), d(I1, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), P1)))), P)))))), d(I1, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), P1)))), P))))), K2=d(E2, d(d(F, d(d(2, d(1, d(D, T2))), d(D, U2))), d(d(2, d(1, d(D, d(E, U2)))), d(D, d(E, T2))))), R=d(d(D, d(d(F, d(d(2, d(1, d(D, Q2))), d(D, V2))), d(d(2, d(1, d(D, d(E, V2)))), d(D, d(E, Q2))))), S), W2=d(I2, d(1, G1)), G=d(I2, d(1, d(E, R))), X2=d(I2, d(1, d(d(F, X1), X1))), T2=d(I2, d(1, H2)), Y2=d(I2, S), Z2=d(I2, Z1), V2=d(I2, d(E2, d(d(F, d(d(2, d(1, d(D, X2))), d(D, Z2))), d(d(2, d(1, d(D, d(E, Z2)))), d(D, d(E, X2)))))), U2=d(I2, d(E2, d(d(F, d(d(2, d(1, d(D, Y2))), d(D, W2))), d(d(2, d(1, d(D, d(E, W2)))), d(D, d(E, Y2)))))), S2=d(J2, C2), P2=d(J2, C1)]).
mm_proof('nic-idlem1', d(d(A, d(d(2, d(1, d(B, C))), d(D, E))), E)-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, Q))))), R)))), S=d(2, d(1, d(2, T))), P=d(2, d(1, N)), U=d(2, d(1, B)), A=d(2, F), V=d(2, d(1, d(B, W))), X=d(2, d(1, d(B, Y))), Z=d(2, d(1, d(B, A1))), B1=d(2, d(1, d(B, d(d(T, C1), C1)))), D1=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, E1))))), d(1, F1)))), G1=d(2, d(J, H1)), I1=d(3, d(G1, J1)), K1=d(3, d(G1, d(d(2, d(1, d(2, d(J, d(K, H1))))), E1))), N=d(d(2, 1), 1), L1=d(H, 1), E1=d(H, N), M1=d(H, N1), J1=d(J, E1), O1=d(J, P1), R=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), M1)))), E1)), T=d(d(2, d(1, d(2, d(1, d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R), F1=d(M, E1), H1=d(d(2, d(1, d(2, d(d(2, d(1, P)), M1)))), E1), Q1=d(O, E1), P1=d(d(2, d(1, d(2, d(M, M1)))), E1), B=d(d(2, d(1, I1)), d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R1=d(d(2, d(1, K1)), S1), G=d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, E1))), M1)))), E1)))))), E1))))), T1), U1=d(d(2, d(1, d(3, d(G1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q1))), M1)))), E1)))))), E1))))), T1), N1=d(d(2, d(1, V1)), J1), V1=d(d(2, d(J, d(d(2, d(1, d(2, J1))), N))), N), L=d(G1, N), W1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, F))))), E1))), Q1)))), E1)), N), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, B))))), E1))), R1)))), E1)), N), X1=d(d(3, d(3, d(1, Y1))), Y1), T1=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(B, X1), Q=d(B, Z1), A2=d(B, d(C1, B2)), C2=d(B, d(C1, D2)), E2=d(B, d(C1, F2)), D=d(B, D2), G2=d(B, H2), I2=d(B, F2), J2=d(B, d(d(T, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, d(J, d(U, K2))))))), E1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(B1, K2))))), E1)))), E1)))))), E1)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, d(J, d(U, N))))))), E1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(B1, N))))), E1)))), E1)))))), E1)), N))), Y1=d(V1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M1)))), E1))), N))), d(3, d(G1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(S, M1)))), E1)))))), E1)))))), M1)))), E1))), N))))), L2=d(W1, G), Z1=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W=d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(C1, d(d(T, d(d(2, d(1, Q)), S1)), d(d(2, d(1, d(B, d(C1, X1)))), d(B, d(C1, Z1))))), Y=d(C1, N2), A1=d(C1, H2), O2=d(C1, d(I2, d(1, d(d(T, d(d(2, d(1, d(B, P2))), G2)), d(Z, d(B, d(C1, P2))))))), Q2=d(d(T, O1), O1), C=d(d(T, U1), U1), B2=d(d(T, d(V, d(B, N2))), d(X, d(B, d(C1, W)))), R2=d(d(T, d(d(2, d(1, d(B, M2))), d(B, L2))), d(d(2, d(1, d(B, d(C1, L2)))), d(B, d(C1, M2)))), S2=d(d(T, d(X, d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(V, d(B, d(C1, Y)))), D2=d(d(T, d(d(2, d(1, d(B, O2))), d(B, S2))), d(d(2, d(1, d(B, d(C1, S2)))), d(B, d(C1, O2)))), N2=d(d(T, d(d(2, d(1, d(B, T2))), G2)), d(Z, d(B, d(C1, T2)))), H2=d(d(T, L), N1), F2=d(d(T, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, d(I, d(2, d(1, R1)))))))), E1))), d(I, U))))), E1)), N)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, T)))), d(D1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), L1)))), E1)))))), d(D1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R1))), L1)))), E1))))), E=d(C2, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(d(2, d(1, d(d(2, d(1, d(B, d(C1, d(d(T, d(d(2, d(1, d(B, U2))), D)), d(d(2, d(1, C2)), d(B, d(C1, U2)))))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(C1, d(C1, d(d(T, d(d(2, d(1, d(B, B2))), d(B, Q2))), d(d(2, d(1, d(B, d(C1, Q2)))), A2))))))))), d(I, d(H, d(J, d(K, P1)))))))), d(H, A2))))), E1)))), d(d(2, d(1, A)), D))))))), E1))), d(1, d(C2, d(B, V2))))), N)), K2=d(E2, d(d(T, d(d(2, d(1, d(B, W2))), d(B, X2))), d(d(2, d(1, d(B, d(C1, X2)))), d(B, d(C1, W2))))), V2=d(d(B, d(d(T, d(d(2, d(1, d(B, R2))), d(B, Y2))), d(d(2, d(1, d(B, d(C1, Y2)))), d(B, d(C1, R2))))), N), Z2=d(I2, d(1, A1)), U2=d(I2, d(1, d(C1, V2))), A3=d(I2, d(1, C)), W2=d(I2, d(1, H2)), B3=d(I2, N), C3=d(I2, W1), Y2=d(I2, d(E2, d(d(T, d(d(2, d(1, d(B, A3))), d(B, C3))), d(d(2, d(1, d(B, d(C1, C3)))), d(B, d(C1, A3)))))), X2=d(I2, d(E2, d(d(T, d(d(2, d(1, d(B, B3))), d(B, Z2))), d(d(2, d(1, d(B, d(C1, Z2)))), d(B, d(C1, B3)))))), T2=d(J2, Z1), P2=d(J2, W)]).
mm_proof('nic-id', d(d(A, d(B, d(C, d(D, E)))), d(D, F))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, R))))), S)))), T=d(2, d(1, d(2, U))), Q=d(2, d(1, O)), V=d(2, d(1, W)), A=d(2, G), X=d(2, d(1, d(W, Y))), Z=d(2, d(1, d(W, A1))), B1=d(2, d(1, d(W, C1))), B=d(2, d(1, d(W, D1))), E1=d(2, d(1, d(W, d(d(U, F1), F1)))), G1=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, H1))))), d(1, I1)))), J1=d(2, d(K, K1)), L1=d(3, d(J1, M1)), N1=d(3, d(J1, d(d(2, d(1, d(2, d(K, d(L, K1))))), H1))), O=d(d(2, 1), 1), O1=d(I, 1), H1=d(I, O), P1=d(I, Q1), M1=d(K, H1), R1=d(K, S1), S=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), P1)))), H1)), U=d(d(2, d(1, d(2, d(1, d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S), I1=d(N, H1), K1=d(d(2, d(1, d(2, d(d(2, d(1, Q)), P1)))), H1), T1=d(P, H1), S1=d(d(2, d(1, d(2, d(N, P1)))), H1), W=d(d(2, d(1, L1)), d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U1=d(d(2, d(1, N1)), V1), H=d(d(2, d(1, d(3, d(J1, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), P1)))), H1)))))), H1))))), W1), X1=d(d(2, d(1, d(3, d(J1, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T1))), P1)))), H1)))))), H1))))), W1), D=d(A, d(B, d(C, d(Y1, E)))), Y1=d(A, d(B, d(C, F))), Q1=d(d(2, d(1, Z1)), M1), Z1=d(d(2, d(K, d(d(2, d(1, d(2, M1))), O))), O), M=d(J1, O), A2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, G))))), H1))), T1)))), H1)), O), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, W))))), H1))), U1)))), H1)), O), B2=d(d(3, d(3, d(1, C2))), C2), W1=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V1=d(W, B2), R=d(W, D2), E2=d(W, d(F1, F2)), G2=d(W, d(F1, H2)), I2=d(W, d(F1, J2)), C=d(W, H2), K2=d(W, L2), M2=d(W, J2), N2=d(W, d(d(U, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, d(K, d(V, O2))))))), H1))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(E1, O2))))), H1)))), H1)))))), H1)), O)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, d(K, d(V, O))))))), H1))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(E1, O))))), H1)))), H1)))))), H1)), O))), E=d(Y1, F), C2=d(Z1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P1)))), H1))), O))), d(3, d(J1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J1, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(T, P1)))), H1)))))), H1)))))), P1)))), H1))), O))))), P2=d(A2, H), D2=d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y=d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q2=d(F1, d(d(U, d(d(2, d(1, R)), V1)), d(d(2, d(1, d(W, d(F1, B2)))), d(W, d(F1, D2))))), A1=d(F1, R2), C1=d(F1, L2), S2=d(F1, d(M2, d(1, d(d(U, d(d(2, d(1, d(W, T2))), K2)), d(B1, d(W, d(F1, T2))))))), U2=d(d(U, R1), R1), D1=d(d(U, X1), X1), F2=d(d(U, d(X, d(W, R2))), d(Z, d(W, d(F1, Y)))), V2=d(d(U, d(d(2, d(1, d(W, Q2))), d(W, P2))), d(d(2, d(1, d(W, d(F1, P2)))), d(W, d(F1, Q2)))), W2=d(d(U, d(Z, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(X, d(W, d(F1, A1)))), H2=d(d(U, d(d(2, d(1, d(W, S2))), d(W, W2))), d(d(2, d(1, d(W, d(F1, W2)))), d(W, d(F1, S2)))), R2=d(d(U, d(d(2, d(1, d(W, X2))), K2)), d(B1, d(W, d(F1, X2)))), L2=d(d(U, M), Q1), J2=d(d(U, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, d(J, d(2, d(1, U1)))))))), H1))), d(J, V))))), H1)), O)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, U)))), d(G1, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), O1)))), H1)))))), d(G1, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), O1)))), H1))))), F=d(G2, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(d(2, d(1, d(d(2, d(1, d(W, d(F1, d(d(U, d(d(2, d(1, d(W, Y2))), C)), d(d(2, d(1, G2)), d(W, d(F1, Y2)))))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(F1, d(F1, d(d(U, d(d(2, d(1, d(W, F2))), d(W, U2))), d(d(2, d(1, d(W, d(F1, U2)))), E2))))))))), d(J, d(I, d(K, d(L, S1)))))))), d(I, E2))))), H1)))), d(d(2, d(1, A)), C))))))), H1))), d(1, d(G2, d(W, Z2))))), O)), O2=d(I2, d(d(U, d(d(2, d(1, d(W, A3))), d(W, B3))), d(d(2, d(1, d(W, d(F1, B3)))), d(W, d(F1, A3))))), Z2=d(d(W, d(d(U, d(d(2, d(1, d(W, V2))), d(W, C3))), d(d(2, d(1, d(W, d(F1, C3)))), d(W, d(F1, V2))))), O), D3=d(M2, d(1, C1)), Y2=d(M2, d(1, d(F1, Z2))), E3=d(M2, d(1, D1)), A3=d(M2, d(1, L2)), F3=d(M2, O), G3=d(M2, A2), C3=d(M2, d(I2, d(d(U, d(d(2, d(1, d(W, E3))), d(W, G3))), d(d(2, d(1, d(W, d(F1, G3)))), d(W, d(F1, E3)))))), B3=d(M2, d(I2, d(d(U, d(d(2, d(1, d(W, F3))), d(W, D3))), d(d(2, d(1, d(W, d(F1, D3)))), d(W, d(F1, F3)))))), X2=d(N2, D2), T2=d(N2, Y)]).
mm_proof('nic-swap', d(A, d(d(B, d(C, d(D, d(E, F)))), d(E, G)))-[H=d(1, I), J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, S))))), T)))), U=d(2, d(1, d(2, V))), R=d(2, d(1, P)), W=d(2, d(1, X)), B=d(2, H), Y=d(2, d(1, d(X, Z))), A1=d(2, d(1, d(X, B1))), C1=d(2, d(1, d(X, D1))), C=d(2, d(1, d(X, E1))), F1=d(2, d(1, d(X, d(d(V, G1), G1)))), H1=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, I1))))), d(1, J1)))), K1=d(2, d(L, L1)), M1=d(3, d(K1, N1)), O1=d(3, d(K1, d(d(2, d(1, d(2, d(L, d(M, L1))))), I1))), P=d(d(2, 1), 1), P1=d(J, 1), I1=d(J, P), Q1=d(J, R1), N1=d(L, I1), S1=d(L, T1), T=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), Q1)))), I1)), V=d(d(2, d(1, d(2, d(1, d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T), J1=d(O, I1), L1=d(d(2, d(1, d(2, d(d(2, d(1, R)), Q1)))), I1), U1=d(Q, I1), T1=d(d(2, d(1, d(2, d(O, Q1)))), I1), X=d(d(2, d(1, M1)), d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V1=d(d(2, d(1, O1)), W1), I=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), Q1)))), I1)))))), I1))))), X1), Y1=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), Q1)))), I1)))))), I1))))), X1), E=d(B, d(C, d(D, d(A, F)))), A=d(B, d(C, d(D, G))), R1=d(d(2, d(1, Z1)), N1), Z1=d(d(2, d(L, d(d(2, d(1, d(2, N1))), P))), P), N=d(K1, P), A2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, H))))), I1))), U1)))), I1)), P), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, X))))), I1))), V1)))), I1)), P), B2=d(d(3, d(3, d(1, C2))), C2), X1=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W1=d(X, B2), S=d(X, D2), E2=d(X, d(G1, F2)), G2=d(X, d(G1, H2)), I2=d(X, d(G1, J2)), D=d(X, H2), K2=d(X, L2), M2=d(X, J2), N2=d(X, d(d(V, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, d(L, d(W, O2))))))), I1))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(F1, O2))))), I1)))), I1)))))), I1)), P)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, d(L, d(W, P))))))), I1))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(F1, P))))), I1)))), I1)))))), I1)), P))), F=d(A, G), C2=d(Z1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q1)))), I1))), P))), d(3, d(K1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(U, Q1)))), I1)))))), I1)))))), Q1)))), I1))), P))))), P2=d(A2, I), D2=d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q2=d(G1, d(d(V, d(d(2, d(1, S)), W1)), d(d(2, d(1, d(X, d(G1, B2)))), d(X, d(G1, D2))))), B1=d(G1, R2), D1=d(G1, L2), S2=d(G1, d(M2, d(1, d(d(V, d(d(2, d(1, d(X, T2))), K2)), d(C1, d(X, d(G1, T2))))))), U2=d(d(V, S1), S1), E1=d(d(V, Y1), Y1), F2=d(d(V, d(Y, d(X, R2))), d(A1, d(X, d(G1, Z)))), V2=d(d(V, d(d(2, d(1, d(X, Q2))), d(X, P2))), d(d(2, d(1, d(X, d(G1, P2)))), d(X, d(G1, Q2)))), W2=d(d(V, d(A1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(Y, d(X, d(G1, B1)))), H2=d(d(V, d(d(2, d(1, d(X, S2))), d(X, W2))), d(d(2, d(1, d(X, d(G1, W2)))), d(X, d(G1, S2)))), R2=d(d(V, d(d(2, d(1, d(X, X2))), K2)), d(C1, d(X, d(G1, X2)))), L2=d(d(V, N), R1), J2=d(d(V, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, d(K, d(2, d(1, V1)))))))), I1))), d(K, W))))), I1)), P)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, V)))), d(H1, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), P1)))), I1)))))), d(H1, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V1))), P1)))), I1))))), G=d(G2, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(d(2, d(1, d(d(2, d(1, d(X, d(G1, d(d(V, d(d(2, d(1, d(X, Y2))), D)), d(d(2, d(1, G2)), d(X, d(G1, Y2)))))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(G1, d(G1, d(d(V, d(d(2, d(1, d(X, F2))), d(X, U2))), d(d(2, d(1, d(X, d(G1, U2)))), E2))))))))), d(K, d(J, d(L, d(M, T1)))))))), d(J, E2))))), I1)))), d(d(2, d(1, B)), D))))))), I1))), d(1, d(G2, d(X, Z2))))), P)), O2=d(I2, d(d(V, d(d(2, d(1, d(X, A3))), d(X, B3))), d(d(2, d(1, d(X, d(G1, B3)))), d(X, d(G1, A3))))), Z2=d(d(X, d(d(V, d(d(2, d(1, d(X, V2))), d(X, C3))), d(d(2, d(1, d(X, d(G1, C3)))), d(X, d(G1, V2))))), P), D3=d(M2, d(1, D1)), Y2=d(M2, d(1, d(G1, Z2))), E3=d(M2, d(1, E1)), A3=d(M2, d(1, L2)), F3=d(M2, P), G3=d(M2, A2), C3=d(M2, d(I2, d(d(V, d(d(2, d(1, d(X, E3))), d(X, G3))), d(d(2, d(1, d(X, d(G1, G3)))), d(X, d(G1, E3)))))), B3=d(M2, d(I2, d(d(V, d(d(2, d(1, d(X, F3))), d(X, D3))), d(d(2, d(1, d(X, d(G1, D3)))), d(X, d(G1, F3)))))), X2=d(N2, D2), T2=d(N2, Z)]).
mm_proof('nic-bijust', d(A, d(d(B, d(C, d(D, d(E, F)))), d(E, G)))-[H=d(1, I), J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, S))))), T)))), U=d(2, d(1, d(2, V))), R=d(2, d(1, P)), W=d(2, d(1, X)), B=d(2, H), Y=d(2, d(1, d(X, Z))), A1=d(2, d(1, d(X, B1))), C1=d(2, d(1, d(X, D1))), C=d(2, d(1, d(X, E1))), F1=d(2, d(1, d(X, d(d(V, G1), G1)))), H1=d(2, d(K, d(d(2, d(1, d(2, d(1, d(K, I1))))), d(1, J1)))), K1=d(2, d(L, L1)), M1=d(3, d(K1, N1)), O1=d(3, d(K1, d(d(2, d(1, d(2, d(L, d(M, L1))))), I1))), P=d(d(2, 1), 1), P1=d(J, 1), I1=d(J, P), Q1=d(J, R1), N1=d(L, I1), S1=d(L, T1), T=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), Q1)))), I1)), V=d(d(2, d(1, d(2, d(1, d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T), J1=d(O, I1), L1=d(d(2, d(1, d(2, d(d(2, d(1, R)), Q1)))), I1), U1=d(Q, I1), T1=d(d(2, d(1, d(2, d(O, Q1)))), I1), X=d(d(2, d(1, M1)), d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V1=d(d(2, d(1, O1)), W1), I=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I1))), Q1)))), I1)))))), I1))))), X1), Y1=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), Q1)))), I1)))))), I1))))), X1), E=d(B, d(C, d(D, d(A, F)))), A=d(B, d(C, d(D, G))), R1=d(d(2, d(1, Z1)), N1), Z1=d(d(2, d(L, d(d(2, d(1, d(2, N1))), P))), P), N=d(K1, P), A2=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, H))))), I1))), U1)))), I1)), P), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, X))))), I1))), V1)))), I1)), P), B2=d(d(3, d(3, d(1, C2))), C2), X1=d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), W1=d(X, B2), S=d(X, D2), E2=d(X, d(G1, F2)), G2=d(X, d(G1, H2)), I2=d(X, d(G1, J2)), D=d(X, H2), K2=d(X, L2), M2=d(X, J2), N2=d(X, d(d(V, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, d(L, d(W, O2))))))), I1))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(F1, O2))))), I1)))), I1)))))), I1)), P)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, d(L, d(W, P))))))), I1))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(F1, P))))), I1)))), I1)))))), I1)), P))), F=d(A, G), C2=d(Z1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q1)))), I1))), P))), d(3, d(K1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K1, d(d(2, d(1, d(2, d(L, d(M, d(d(2, d(1, d(2, d(U, Q1)))), I1)))))), I1)))))), Q1)))), I1))), P))))), P2=d(A2, I), D2=d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Z=d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q2=d(G1, d(d(V, d(d(2, d(1, S)), W1)), d(d(2, d(1, d(X, d(G1, B2)))), d(X, d(G1, D2))))), B1=d(G1, R2), D1=d(G1, L2), S2=d(G1, d(M2, d(1, d(d(V, d(d(2, d(1, d(X, T2))), K2)), d(C1, d(X, d(G1, T2))))))), U2=d(d(V, S1), S1), E1=d(d(V, Y1), Y1), F2=d(d(V, d(Y, d(X, R2))), d(A1, d(X, d(G1, Z)))), V2=d(d(V, d(d(2, d(1, d(X, Q2))), d(X, P2))), d(d(2, d(1, d(X, d(G1, P2)))), d(X, d(G1, Q2)))), W2=d(d(V, d(A1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(Y, d(X, d(G1, B1)))), H2=d(d(V, d(d(2, d(1, d(X, S2))), d(X, W2))), d(d(2, d(1, d(X, d(G1, W2)))), d(X, d(G1, S2)))), R2=d(d(V, d(d(2, d(1, d(X, X2))), K2)), d(C1, d(X, d(G1, X2)))), L2=d(d(V, N), R1), J2=d(d(V, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, d(K, d(2, d(1, V1)))))))), I1))), d(K, W))))), I1)), P)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, V)))), d(H1, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), P1)))), I1)))))), d(H1, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V1))), P1)))), I1))))), G=d(G2, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(d(2, d(1, d(d(2, d(1, d(X, d(G1, d(d(V, d(d(2, d(1, d(X, Y2))), D)), d(d(2, d(1, G2)), d(X, d(G1, Y2)))))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(G1, d(G1, d(d(V, d(d(2, d(1, d(X, F2))), d(X, U2))), d(d(2, d(1, d(X, d(G1, U2)))), E2))))))))), d(K, d(J, d(L, d(M, T1)))))))), d(J, E2))))), I1)))), d(d(2, d(1, B)), D))))))), I1))), d(1, d(G2, d(X, Z2))))), P)), O2=d(I2, d(d(V, d(d(2, d(1, d(X, A3))), d(X, B3))), d(d(2, d(1, d(X, d(G1, B3)))), d(X, d(G1, A3))))), Z2=d(d(X, d(d(V, d(d(2, d(1, d(X, V2))), d(X, C3))), d(d(2, d(1, d(X, d(G1, C3)))), d(X, d(G1, V2))))), P), D3=d(M2, d(1, D1)), Y2=d(M2, d(1, d(G1, Z2))), E3=d(M2, d(1, E1)), A3=d(M2, d(1, L2)), F3=d(M2, P), G3=d(M2, A2), C3=d(M2, d(I2, d(d(V, d(d(2, d(1, d(X, E3))), d(X, G3))), d(d(2, d(1, d(X, d(G1, G3)))), d(X, d(G1, E3)))))), B3=d(M2, d(I2, d(d(V, d(d(2, d(1, d(X, F3))), d(X, D3))), d(d(2, d(1, d(X, d(G1, D3)))), d(X, d(G1, F3)))))), X2=d(N2, D2), T2=d(N2, Z)]).
mm_proof('lukshef-ax1', d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, d(d(2, d(1, d(d(2, d(1, d(D, d(E, d(d(F, d(d(2, d(1, d(D, G))), H)), d(d(2, d(1, A)), d(D, d(E, G)))))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(E, d(E, d(d(F, d(d(2, d(1, d(D, I))), d(D, J))), d(d(2, d(1, d(D, d(E, J)))), K))))))))), d(L, d(C, d(M, d(N, O)))))))), d(C, K))))), P)))), d(d(2, d(1, d(2, Q))), H))))))), P))), d(1, d(A, d(D, R))))), S))-[Q=d(1, T), C=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, U)))), V=d(2, d(1, d(2, S))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, X))))), Y)))), Z=d(2, d(1, d(2, F))), W=d(2, d(1, S)), A1=d(2, d(1, D)), B1=d(2, d(1, d(D, C1))), D1=d(2, d(1, d(D, E1))), F1=d(2, d(1, d(D, G1))), H1=d(2, d(1, d(D, d(d(F, E), E)))), I1=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, P))))), d(1, J1)))), K1=d(2, d(M, L1)), M1=d(3, d(K1, N1)), O1=d(3, d(K1, d(d(2, d(1, d(2, d(M, d(N, L1))))), P))), S=d(d(2, 1), 1), P1=d(C, 1), P=d(C, S), Q1=d(C, R1), N1=d(M, P), S1=d(M, O), Y=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J1))), Q1)))), P)), F=d(d(2, d(1, d(2, d(1, d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y), J1=d(V, P), L1=d(d(2, d(1, d(2, d(d(2, d(1, W)), Q1)))), P), T1=d(B, P), O=d(d(2, d(1, d(2, d(V, Q1)))), P), D=d(d(2, d(1, M1)), d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U1=d(d(2, d(1, O1)), V1), T=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), Q1)))), P)))))), P))))), W1), X1=d(d(2, d(1, d(3, d(K1, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T1))), Q1)))), P)))))), P))))), W1), R1=d(d(2, d(1, Y1)), N1), Y1=d(d(2, d(M, d(d(2, d(1, d(2, N1))), S))), S), U=d(K1, S), Z1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, Q))))), P))), T1)))), P)), S), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, D))))), P))), U1)))), P)), S), A2=d(d(3, d(3, d(1, B2))), B2), W1=d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V1=d(D, A2), X=d(D, C2), K=d(D, d(E, I)), A=d(D, d(E, D2)), E2=d(D, d(E, F2)), H=d(D, D2), G2=d(D, H2), I2=d(D, F2), J2=d(D, d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, d(M, d(A1, K2))))))), P))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H1, K2))))), P)))), P)))))), P)), S)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, d(M, d(A1, S))))))), P))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A1, d(H1, S))))), P)))), P)))))), P)), S))), B2=d(Y1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q1)))), P))), S))), d(3, d(K1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(K1, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Z, Q1)))), P)))))), P)))))), Q1)))), P))), S))))), L2=d(Z1, T), C2=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M2=d(E, d(d(F, d(d(2, d(1, X)), V1)), d(d(2, d(1, d(D, d(E, A2)))), d(D, d(E, C2))))), E1=d(E, N2), G1=d(E, H2), O2=d(E, d(I2, d(1, d(d(F, d(d(2, d(1, d(D, P2))), G2)), d(F1, d(D, d(E, P2))))))), J=d(d(F, S1), S1), I=d(d(F, d(B1, d(D, N2))), d(D1, d(D, d(E, C1)))), Q2=d(d(F, d(d(2, d(1, d(D, M2))), d(D, L2))), d(d(2, d(1, d(D, d(E, L2)))), d(D, d(E, M2)))), R2=d(d(F, d(D1, d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(B1, d(D, d(E, E1)))), D2=d(d(F, d(d(2, d(1, d(D, O2))), d(D, R2))), d(d(2, d(1, d(D, d(E, R2)))), d(D, d(E, O2)))), N2=d(d(F, d(d(2, d(1, d(D, S2))), G2)), d(F1, d(D, d(E, S2)))), H2=d(d(F, U), R1), F2=d(d(F, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Z, d(C, d(L, d(2, d(1, U1)))))))), P))), d(L, A1))))), P)), S)), d(d(2, d(L, d(d(2, d(1, d(2, d(1, F)))), d(I1, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, D))), P1)))), P)))))), d(I1, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U1))), P1)))), P))))), K2=d(E2, d(d(F, d(d(2, d(1, d(D, T2))), d(D, U2))), d(d(2, d(1, d(D, d(E, U2)))), d(D, d(E, T2))))), R=d(d(D, d(d(F, d(d(2, d(1, d(D, Q2))), d(D, V2))), d(d(2, d(1, d(D, d(E, V2)))), d(D, d(E, Q2))))), S), W2=d(I2, d(1, G1)), G=d(I2, d(1, d(E, R))), X2=d(I2, d(1, d(d(F, X1), X1))), T2=d(I2, d(1, H2)), Y2=d(I2, S), Z2=d(I2, Z1), V2=d(I2, d(E2, d(d(F, d(d(2, d(1, d(D, X2))), d(D, Z2))), d(d(2, d(1, d(D, d(E, Z2)))), d(D, d(E, X2)))))), U2=d(I2, d(E2, d(d(F, d(d(2, d(1, d(D, Y2))), d(D, W2))), d(d(2, d(1, d(D, d(E, W2)))), d(D, d(E, Y2)))))), S2=d(J2, C2), P2=d(J2, C1)]).
mm_proof(lukshefth1, d(d(A, d(B, d(C, d(D, d(D, E))))), E)-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(P, Q))))), R)))), S=d(2, d(1, d(2, T))), P=d(2, d(1, N)), U=d(2, d(1, V)), A=d(2, F), W=d(2, d(1, d(V, X))), Y=d(2, d(1, d(V, Z))), A1=d(2, d(1, d(V, B1))), B=d(2, d(1, d(V, C1))), D1=d(2, d(1, d(V, d(d(T, E1), E1)))), F1=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, G1))))), d(1, H1)))), I1=d(2, d(J, J1)), K1=d(3, d(I1, L1)), M1=d(3, d(I1, d(d(2, d(1, d(2, d(J, d(K, J1))))), G1))), N=d(d(2, 1), 1), N1=d(H, 1), G1=d(H, N), O1=d(H, P1), L1=d(J, G1), Q1=d(J, R1), R=d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H1))), O1)))), G1)), T=d(d(2, d(1, d(2, d(1, d(M1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), R), H1=d(M, G1), J1=d(d(2, d(1, d(2, d(d(2, d(1, P)), O1)))), G1), S1=d(O, G1), R1=d(d(2, d(1, d(2, d(M, O1)))), G1), V=d(d(2, d(1, K1)), d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), T1=d(d(2, d(1, M1)), U1), G=d(d(2, d(1, d(3, d(I1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), O1)))), G1)))))), G1))))), V1), W1=d(d(2, d(1, d(3, d(I1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S1))), O1)))), G1)))))), G1))))), V1), D=d(A, d(B, d(C, E))), P1=d(d(2, d(1, X1)), L1), X1=d(d(2, d(J, d(d(2, d(1, d(2, L1))), N))), N), L=d(I1, N), Y1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, F))))), G1))), S1)))), G1)), N), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, V))))), G1))), T1)))), G1)), N), Z1=d(d(3, d(3, d(1, A2))), A2), V1=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), U1=d(V, Z1), Q=d(V, B2), C2=d(V, d(E1, D2)), E2=d(V, d(E1, F2)), G2=d(V, d(E1, H2)), C=d(V, F2), I2=d(V, J2), K2=d(V, H2), L2=d(V, d(d(T, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, d(J, d(U, M2))))))), G1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(D1, M2))))), G1)))), G1)))))), G1)), N)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, d(J, d(U, N))))))), G1))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(D1, N))))), G1)))), G1)))))), G1)), N))), A2=d(X1, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), O1)))), G1))), N))), d(3, d(I1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(I1, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(S, O1)))), G1)))))), G1)))))), O1)))), G1))), N))))), N2=d(Y1, G), B2=d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), X=d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O2=d(E1, d(d(T, d(d(2, d(1, Q)), U1)), d(d(2, d(1, d(V, d(E1, Z1)))), d(V, d(E1, B2))))), Z=d(E1, P2), B1=d(E1, J2), Q2=d(E1, d(K2, d(1, d(d(T, d(d(2, d(1, d(V, R2))), I2)), d(A1, d(V, d(E1, R2))))))), S2=d(d(T, Q1), Q1), C1=d(d(T, W1), W1), D2=d(d(T, d(W, d(V, P2))), d(Y, d(V, d(E1, X)))), T2=d(d(T, d(d(2, d(1, d(V, O2))), d(V, N2))), d(d(2, d(1, d(V, d(E1, N2)))), d(V, d(E1, O2)))), U2=d(d(T, d(Y, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))), d(W, d(V, d(E1, Z)))), F2=d(d(T, d(d(2, d(1, d(V, Q2))), d(V, U2))), d(d(2, d(1, d(V, d(E1, U2)))), d(V, d(E1, Q2)))), P2=d(d(T, d(d(2, d(1, d(V, V2))), I2)), d(A1, d(V, d(E1, V2)))), J2=d(d(T, L), P1), H2=d(d(T, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, d(I, d(2, d(1, T1)))))))), G1))), d(I, U))))), G1)), N)), d(d(2, d(I, d(d(2, d(1, d(2, d(1, T)))), d(F1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), N1)))), G1)))))), d(F1, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T1))), N1)))), G1))))), E=d(E2, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(O, d(H, d(d(2, d(1, d(d(2, d(1, d(V, d(E1, d(d(T, d(d(2, d(1, d(V, W2))), C)), d(d(2, d(1, E2)), d(V, d(E1, W2)))))))), d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(E1, d(E1, d(d(T, d(d(2, d(1, d(V, D2))), d(V, S2))), d(d(2, d(1, d(V, d(E1, S2)))), C2))))))))), d(I, d(H, d(J, d(K, R1)))))))), d(H, C2))))), G1)))), d(d(2, d(1, A)), C))))))), G1))), d(1, d(E2, d(V, X2))))), N)), M2=d(G2, d(d(T, d(d(2, d(1, d(V, Y2))), d(V, Z2))), d(d(2, d(1, d(V, d(E1, Z2)))), d(V, d(E1, Y2))))), X2=d(d(V, d(d(T, d(d(2, d(1, d(V, T2))), d(V, A3))), d(d(2, d(1, d(V, d(E1, A3)))), d(V, d(E1, T2))))), N), B3=d(K2, d(1, B1)), W2=d(K2, d(1, d(E1, X2))), C3=d(K2, d(1, C1)), Y2=d(K2, d(1, J2)), D3=d(K2, N), E3=d(K2, Y1), A3=d(K2, d(G2, d(d(T, d(d(2, d(1, d(V, C3))), d(V, E3))), d(d(2, d(1, d(V, d(E1, E3)))), d(V, d(E1, C3)))))), Z2=d(K2, d(G2, d(d(T, d(d(2, d(1, d(V, D3))), d(V, B3))), d(d(2, d(1, d(V, d(E1, B3)))), d(V, d(E1, D3)))))), V2=d(L2, B2), R2=d(L2, X)]).
mm_proof(tbwlem3, d(d(d(A, A), B), d(d(d(A, 1), A), B))-[C=d(1, D), E=d(2, d(1, 1)), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, I))), J=d(2, C), K=d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, J)), d(E, d(d(2, d(1, d(d(2, d(G, d(H, D))), D))), I)))))), L))), D=d(d(2, 1), 1), L=d(E, D), I=d(G, L), A=d(d(2, d(F, d(d(2, d(1, d(2, d(1, d(F, L))))), d(F, d(E, C))))), L), B=d(d(2, d(G, d(H, d(d(2, d(F, d(E, J))), d(G, d(d(2, d(1, d(2, d(1, d(K, D))))), d(1, d(3, d(K, I))))))))), D)]).
mm_proof(merco1lem7, d(d(A, d(B, d(C, d(B, C)))), d(A, C))-[D=d(1, 1), E=d(1, F), G=d(2, D), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, d(H, K))))), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), U)))), K)))))), O=d(2, E), V=d(2, d(H, d(J, d(1, T)))), W=d(2, d(I, X)), Y=d(3, d(W, Q)), S=d(3, d(W, d(d(2, d(1, d(2, d(I, d(L, X))))), K))), F=d(d(2, 1), 1), K=d(G, F), U=d(G, d(d(2, d(1, Z)), Q)), Q=d(I, K), T=d(d(2, d(1, d(2, F))), K), X=d(d(2, d(1, d(2, d(d(2, d(1, O)), U)))), K), A1=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, d(d(2, d(I, d(P, d(d(2, d(H, d(G, d(2, d(1, d(d(2, d(H, d(J, d(H, d(G, E))))), d(G, 1))))))), d(I, d(L, d(1, d(G, d(d(2, d(1, d(2, d(I, d(L, d(V, d(G, d(d(2, d(1, d(2, d(V, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), d(G, Q))))), K)))))), K)))))))), K))))))))), F))), d(d(2, d(1, d(2, d(N, d(G, d(d(2, d(1, d(2, d(N, d(G, d(2, d(1, d(d(2, d(I, d(P, d(d(2, d(H, d(G, d(2, d(1, d(3, d(1, d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(M, d(d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F))))))), U)))), K))), F))), d(3, d(W, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(A1, d(B1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), U)))), K))), F)))))))))))), d(I, d(L, D)))))), F)))))))), K)))))), K)), Z=d(d(2, d(I, d(P, F))), F), M=d(W, F), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, A1))))), K))), d(d(2, d(1, S)), d(A1, d(d(3, d(3, d(1, C1))), C1))))))), K)), F), D1=d(A, A), E1=d(A, D1), C=d(A, d(A, d(A, B))), F1=d(A, d(A, G1)), C1=d(Z, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), K))), F))), d(3, d(W, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(I, d(L, d(d(2, d(1, d(2, d(R, U)))), K)))))), K)))))), U)))), K))), F))))), H1=d(D1, d(A, d(I1, I1))), I1=d(E1, E1), G1=d(H1, H1), J1=d(d(F1, G1), F1), B=d(J1, J1)]).
mm_proof(merco1lem8, d(A, A)-[B=d(1, 1), C=d(1, D), E=d(2, B), F=d(2, d(1, 2)), G=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(F, I))))), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, M))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), S)))), I)))))), M=d(2, C), T=d(2, d(F, d(H, d(1, R)))), U=d(2, d(G, V)), W=d(3, d(U, O)), Q=d(3, d(U, d(d(2, d(1, d(2, d(G, d(J, V))))), I))), D=d(d(2, 1), 1), I=d(E, D), S=d(E, d(d(2, d(1, X)), O)), O=d(G, I), R=d(d(2, d(1, d(2, D))), I), V=d(d(2, d(1, d(2, d(d(2, d(1, M)), S)))), I), Y=d(d(2, d(1, W)), d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, d(d(2, d(G, d(N, d(d(2, d(F, d(E, d(2, d(1, d(d(2, d(F, d(H, d(F, d(E, C))))), d(E, 1))))))), d(G, d(J, d(1, d(E, d(d(2, d(1, d(2, d(G, d(J, d(T, d(E, d(d(2, d(1, d(2, d(T, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), d(E, O))))), I)))))), I)))))))), I))))))))), D))), d(d(2, d(1, d(2, d(L, d(E, d(d(2, d(1, d(2, d(L, d(E, d(2, d(1, d(d(2, d(G, d(N, d(d(2, d(F, d(E, d(2, d(1, d(3, d(1, d(X, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(K, d(d(Y, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D))))))), S)))), I))), D))), d(3, d(U, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(Y, d(A1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), S)))), I))), D)))))))))))), d(G, d(J, B)))))), D)))))))), I)))))), I)), X=d(d(2, d(G, d(N, D))), D), K=d(U, D), A1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(E, Y))))), I))), d(d(2, d(1, Q)), d(Y, d(d(3, d(3, d(1, B1))), B1))))))), I)), D), C1=d(Z, Z), D1=d(Z, C1), E1=d(Z, d(Z, d(Z, F1))), G1=d(Z, d(Z, H1)), A=d(Z, d(F1, d(E1, d(F1, E1)))), B1=d(X, d(d(2, d(1, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), S)))), I))), D))), d(3, d(U, d(d(2, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(2, d(1, d(2, d(G, d(J, d(d(2, d(1, d(2, d(P, S)))), I)))))), I)))))), S)))), I))), D))))), I1=d(C1, d(Z, d(J1, J1))), J1=d(D1, D1), H1=d(I1, I1), K1=d(d(G1, H1), G1), F1=d(K1, K1)]).
mm_proof(merco1lem10, d(A, d(d(A, d(A, d(B, B))), A))-[C=d(1, 1), D=d(1, E), F=d(2, C), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, J))))), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, N))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), J)))))), N=d(2, D), U=d(2, d(G, d(I, d(1, S)))), V=d(2, d(H, W)), X=d(3, d(V, P)), R=d(3, d(V, d(d(2, d(1, d(2, d(H, d(K, W))))), J))), E=d(d(2, 1), 1), J=d(F, E), T=d(F, d(d(2, d(1, Y)), P)), P=d(H, J), S=d(d(2, d(1, d(2, E))), J), W=d(d(2, d(1, d(2, d(d(2, d(1, N)), T)))), J), Z=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, d(d(2, d(H, d(O, d(d(2, d(G, d(F, d(2, d(1, d(d(2, d(G, d(I, d(G, d(F, D))))), d(F, 1))))))), d(H, d(K, d(1, d(F, d(d(2, d(1, d(2, d(H, d(K, d(U, d(F, d(d(2, d(1, d(2, d(U, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), d(F, P))))), J)))))), J)))))))), J))))))))), E))), d(d(2, d(1, d(2, d(M, d(F, d(d(2, d(1, d(2, d(M, d(F, d(2, d(1, d(d(2, d(H, d(O, d(d(2, d(G, d(F, d(2, d(1, d(3, d(1, d(Y, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(L, d(d(Z, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E))))))), T)))), J))), E))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(Z, d(A1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), T)))), J))), E)))))))))))), d(H, d(K, C)))))), E)))))))), J)))))), J)), Y=d(d(2, d(H, d(O, E))), E), L=d(V, E), A1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(F, Z))))), J))), d(d(2, d(1, R)), d(Z, d(d(3, d(3, d(1, B1))), B1))))))), J)), E), C1=d(A, A), D1=d(A, C1), B1=d(Y, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), J))), E))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(H, d(K, d(d(2, d(1, d(2, d(Q, T)))), J)))))), J)))))), T)))), J))), E))))), B=d(C1, d(A, d(E1, E1))), E1=d(D1, D1)]).
mm_proof(merco1lem12, d(A, d(d(d(B, A), d(C, d(D, d(C, E)))), d(d(F, F), G)))-[H=d(1, 1), I=d(1, J), K=d(2, H), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(L, O))))), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), Y)))), O)))))), S=d(2, I), Z=d(2, d(L, d(N, d(1, X)))), A1=d(2, d(M, B1)), C1=d(3, d(A1, U)), W=d(3, d(A1, d(d(2, d(1, d(2, d(M, d(P, B1))))), O))), J=d(d(2, 1), 1), O=d(K, J), Y=d(K, d(d(2, d(1, D1)), U)), U=d(M, O), X=d(d(2, d(1, d(2, J))), O), B1=d(d(2, d(1, d(2, d(d(2, d(1, S)), Y)))), O), E1=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, d(d(2, d(M, d(T, d(d(2, d(L, d(K, d(2, d(1, d(d(2, d(L, d(N, d(L, d(K, I))))), d(K, 1))))))), d(M, d(P, d(1, d(K, d(d(2, d(1, d(2, d(M, d(P, d(Z, d(K, d(d(2, d(1, d(2, d(Z, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), d(K, U))))), O)))))), O)))))))), O))))))))), J))), d(d(2, d(1, d(2, d(R, d(K, d(d(2, d(1, d(2, d(R, d(K, d(2, d(1, d(d(2, d(M, d(T, d(d(2, d(L, d(K, d(2, d(1, d(3, d(1, d(D1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(Q, d(d(E1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J))))))), Y)))), O))), J))), d(3, d(A1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(E1, d(F1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Y)))), O))), J)))))))))))), d(M, d(P, H)))))), J)))))))), O)))))), O)), D1=d(d(2, d(M, d(T, J))), J), Q=d(A1, J), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, E1))))), O))), d(d(2, d(1, W)), d(E1, d(d(3, d(3, d(1, G1))), G1))))))), O)), J), H1=d(A, A), I1=d(A, H1), D=d(A, C), B=d(A, d(A, J1)), C=d(A, G), G=d(A, K1), L1=d(A, d(K1, d(D, E))), G1=d(D1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), O))), J))), d(3, d(A1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(M, d(P, d(d(2, d(1, d(2, d(V, Y)))), O)))))), O)))))), Y)))), O))), J))))), M1=d(H1, d(A, d(N1, N1))), N1=d(I1, I1), F=d(L1, L1), J1=d(M1, M1), O1=d(d(B, J1), B), K1=d(O1, O1), E=d(K1, D)]).
mm_proof(merco1lem13, d(A, d(d(A, d(d(d(B, A), d(C, d(D, d(C, E)))), d(d(F, F), G))), d(C, A)))-[H=d(1, 1), I=d(1, J), K=d(2, H), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(L, O))))), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, X))), Y)))), O)))))), S=d(2, I), Z=d(2, d(L, d(N, d(1, X)))), A1=d(2, d(M, B1)), C1=d(3, d(A1, U)), W=d(3, d(A1, d(d(2, d(1, d(2, d(M, d(P, B1))))), O))), J=d(d(2, 1), 1), O=d(K, J), Y=d(K, d(d(2, d(1, D1)), U)), U=d(M, O), X=d(d(2, d(1, d(2, J))), O), B1=d(d(2, d(1, d(2, d(d(2, d(1, S)), Y)))), O), E1=d(d(2, d(1, C1)), d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, d(d(2, d(M, d(T, d(d(2, d(L, d(K, d(2, d(1, d(d(2, d(L, d(N, d(L, d(K, I))))), d(K, 1))))))), d(M, d(P, d(1, d(K, d(d(2, d(1, d(2, d(M, d(P, d(Z, d(K, d(d(2, d(1, d(2, d(Z, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), d(K, U))))), O)))))), O)))))))), O))))))))), J))), d(d(2, d(1, d(2, d(R, d(K, d(d(2, d(1, d(2, d(R, d(K, d(2, d(1, d(d(2, d(M, d(T, d(d(2, d(L, d(K, d(2, d(1, d(3, d(1, d(D1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(Q, d(d(E1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J))))))), Y)))), O))), J))), d(3, d(A1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(E1, d(F1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Y)))), O))), J)))))))))))), d(M, d(P, H)))))), J)))))))), O)))))), O)), D1=d(d(2, d(M, d(T, J))), J), Q=d(A1, J), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(K, E1))))), O))), d(d(2, d(1, W)), d(E1, d(d(3, d(3, d(1, G1))), G1))))))), O)), J), H1=d(A, A), I1=d(A, H1), D=d(A, C), B=d(A, d(A, J1)), C=d(A, G), G=d(A, K1), L1=d(A, d(K1, d(D, E))), G1=d(D1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), O))), J))), d(3, d(A1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(A1, d(d(2, d(1, d(2, d(M, d(P, d(d(2, d(1, d(2, d(V, Y)))), O)))))), O)))))), Y)))), O))), J))))), M1=d(H1, d(A, d(N1, N1))), N1=d(I1, I1), F=d(L1, L1), J1=d(M1, M1), O1=d(d(B, J1), B), K1=d(O1, O1), E=d(K1, D)]).
mm_proof(merco1lem14, d(A, d(B, d(d(C, d(A, D)), d(A, d(B, d(E, A))))))-[F=d(1, 1), G=d(1, H), I=d(2, F), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), W)))), M)))))), Q=d(2, G), X=d(2, d(J, d(L, d(1, V)))), Y=d(2, d(K, Z)), A1=d(3, d(Y, S)), U=d(3, d(Y, d(d(2, d(1, d(2, d(K, d(N, Z))))), M))), H=d(d(2, 1), 1), M=d(I, H), W=d(I, d(d(2, d(1, B1)), S)), S=d(K, M), V=d(d(2, d(1, d(2, H))), M), Z=d(d(2, d(1, d(2, d(d(2, d(1, Q)), W)))), M), C1=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, d(d(2, d(K, d(R, d(d(2, d(J, d(I, d(2, d(1, d(d(2, d(J, d(L, d(J, d(I, G))))), d(I, 1))))))), d(K, d(N, d(1, d(I, d(d(2, d(1, d(2, d(K, d(N, d(X, d(I, d(d(2, d(1, d(2, d(X, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), d(I, S))))), M)))))), M)))))))), M))))))))), H))), d(d(2, d(1, d(2, d(P, d(I, d(d(2, d(1, d(2, d(P, d(I, d(2, d(1, d(d(2, d(K, d(R, d(d(2, d(J, d(I, d(2, d(1, d(3, d(1, d(B1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(O, d(d(C1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H))))))), W)))), M))), H))), d(3, d(Y, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(C1, d(D1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), W)))), M))), H)))))))))))), d(K, d(N, F)))))), H)))))))), M)))))), M)), B1=d(d(2, d(K, d(R, H))), H), O=d(Y, H), D1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, C1))))), M))), d(d(2, d(1, U)), d(C1, d(d(3, d(3, d(1, E1))), E1))))))), M)), H), F1=d(A, A), G1=d(A, F1), H1=d(A, E), I1=d(A, d(A, J1)), E=d(A, K1), B=d(A, d(d(d(I1, A), d(E, d(H1, d(E, L1)))), d(C, K1))), K1=d(A, M1), N1=d(A, d(M1, d(H1, L1))), E1=d(B1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), M))), H))), d(3, d(Y, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(T, W)))), M)))))), M)))))), W)))), M))), H))))), O1=d(F1, d(A, d(P1, P1))), P1=d(G1, G1), D=d(N1, N1), J1=d(O1, O1), Q1=d(d(I1, J1), I1), C=d(D, D), M1=d(Q1, Q1), L1=d(M1, H1)]).
mm_proof(merco1lem15, d(A, d(B, d(C, d(d(D, d(B, E)), A))))-[F=d(1, 1), G=d(1, H), I=d(2, F), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), W)))), M)))))), Q=d(2, G), X=d(2, d(J, d(L, d(1, V)))), Y=d(2, d(K, Z)), A1=d(3, d(Y, S)), U=d(3, d(Y, d(d(2, d(1, d(2, d(K, d(N, Z))))), M))), H=d(d(2, 1), 1), M=d(I, H), W=d(I, d(d(2, d(1, B1)), S)), S=d(K, M), V=d(d(2, d(1, d(2, H))), M), Z=d(d(2, d(1, d(2, d(d(2, d(1, Q)), W)))), M), C1=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B=d(d(2, d(1, d(d(2, d(K, d(R, d(d(2, d(J, d(I, d(2, d(1, d(d(2, d(J, d(L, d(J, d(I, G))))), d(I, 1))))))), d(K, d(N, d(1, d(I, d(d(2, d(1, d(2, d(K, d(N, d(X, d(I, d(d(2, d(1, d(2, d(X, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), d(I, S))))), M)))))), M)))))))), M))))))))), H))), d(d(2, d(1, d(2, d(P, d(I, d(d(2, d(1, d(2, d(P, d(I, d(2, d(1, d(d(2, d(K, d(R, d(d(2, d(J, d(I, d(2, d(1, d(3, d(1, d(B1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(O, d(d(C1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H))))))), W)))), M))), H))), d(3, d(Y, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(C1, d(D1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), W)))), M))), H)))))))))))), d(K, d(N, F)))))), H)))))))), M)))))), M)), B1=d(d(2, d(K, d(R, H))), H), O=d(Y, H), D1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, C1))))), M))), d(d(2, d(1, U)), d(C1, d(d(3, d(3, d(1, E1))), E1))))))), M)), H), F1=d(B, B), G1=d(B, F1), H1=d(B, I1), J1=d(B, d(B, K1)), I1=d(B, L1), A=d(B, d(C, d(I1, B))), C=d(B, d(d(d(J1, B), d(I1, d(H1, d(I1, M1)))), d(D, L1))), L1=d(B, N1), O1=d(B, d(N1, d(H1, M1))), E1=d(B1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), M))), H))), d(3, d(Y, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(T, W)))), M)))))), M)))))), W)))), M))), H))))), P1=d(F1, d(B, d(Q1, Q1))), Q1=d(G1, G1), E=d(O1, O1), K1=d(P1, P1), R1=d(d(J1, K1), J1), D=d(E, E), N1=d(R1, R1), M1=d(N1, H1)]).
mm_proof(merco1lem16, d(A, d(B, d(C, d(A, d(D, d(d(E, d(A, F)), C))))))-[G=d(1, 1), H=d(1, I), J=d(2, G), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, N))))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), X)))), N)))))), R=d(2, H), Y=d(2, d(K, d(M, d(1, W)))), Z=d(2, d(L, A1)), B1=d(3, d(Z, T)), V=d(3, d(Z, d(d(2, d(1, d(2, d(L, d(O, A1))))), N))), I=d(d(2, 1), 1), N=d(J, I), X=d(J, d(d(2, d(1, C1)), T)), T=d(L, N), W=d(d(2, d(1, d(2, I))), N), A1=d(d(2, d(1, d(2, d(d(2, d(1, R)), X)))), N), D1=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, d(d(2, d(L, d(S, d(d(2, d(K, d(J, d(2, d(1, d(d(2, d(K, d(M, d(K, d(J, H))))), d(J, 1))))))), d(L, d(O, d(1, d(J, d(d(2, d(1, d(2, d(L, d(O, d(Y, d(J, d(d(2, d(1, d(2, d(Y, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), d(J, T))))), N)))))), N)))))))), N))))))))), I))), d(d(2, d(1, d(2, d(Q, d(J, d(d(2, d(1, d(2, d(Q, d(J, d(2, d(1, d(d(2, d(L, d(S, d(d(2, d(K, d(J, d(2, d(1, d(3, d(1, d(C1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(P, d(d(D1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I))))))), X)))), N))), I))), d(3, d(Z, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(D1, d(E1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), X)))), N))), I)))))))))))), d(L, d(O, G)))))), I)))))))), N)))))), N)), C1=d(d(2, d(L, d(S, I))), I), P=d(Z, I), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, D1))))), N))), d(d(2, d(1, V)), d(D1, d(d(3, d(3, d(1, F1))), F1))))))), N)), I), G1=d(A, A), H1=d(A, G1), I1=d(A, J1), K1=d(A, d(A, L1)), J1=d(A, M1), C=d(A, d(D, d(J1, A))), D=d(A, d(B, d(E, M1))), M1=d(A, N1), O1=d(A, d(N1, d(I1, P1))), F1=d(C1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), N))), I))), d(3, d(Z, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(L, d(O, d(d(2, d(1, d(2, d(U, X)))), N)))))), N)))))), X)))), N))), I))))), Q1=d(G1, d(A, d(R1, R1))), R1=d(H1, H1), F=d(O1, O1), L1=d(Q1, Q1), B=d(d(K1, A), d(J1, d(I1, d(J1, P1)))), S1=d(d(K1, L1), K1), E=d(F, F), N1=d(S1, S1), P1=d(N1, I1)]).
mm_proof(merco1lem17, d(A, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(A, d(B, d(C, d(A, d(D, d(d(E, d(A, F)), C))))))))), d(G, H))))), I))), d(1, d(J, J)))), K))-[L=d(1, 1), M=d(1, K), G=d(2, L), N=d(2, d(1, 2)), O=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, d(N, I))))), Q=d(2, d(1, d(2, d(1, R)))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, V))), W=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), Z)))), I)))))), T=d(2, M), A1=d(2, d(N, d(P, d(1, Y)))), B1=d(2, d(O, C1)), D1=d(3, d(B1, V)), X=d(3, d(B1, d(d(2, d(1, d(2, d(O, d(Q, C1))))), I))), K=d(d(2, 1), 1), I=d(G, K), Z=d(G, d(d(2, d(1, E1)), V)), V=d(O, I), Y=d(d(2, d(1, d(2, K))), I), C1=d(d(2, d(1, d(2, d(d(2, d(1, T)), Z)))), I), F1=d(d(2, d(1, D1)), d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(d(2, d(1, d(d(2, d(O, d(U, d(d(2, d(N, d(G, d(2, d(1, d(d(2, d(N, d(P, d(N, d(G, M))))), d(G, 1))))))), d(O, d(Q, d(1, d(G, d(d(2, d(1, d(2, d(O, d(Q, d(A1, d(G, d(d(2, d(1, d(2, d(A1, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), d(G, V))))), I)))))), I)))))))), I))))))))), K))), d(d(2, d(1, d(2, d(S, d(G, d(d(2, d(1, d(2, d(S, d(G, d(2, d(1, d(d(2, d(O, d(U, d(d(2, d(N, d(G, d(2, d(1, d(3, d(1, d(E1, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(R, d(d(F1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K))))))), Z)))), I))), K))), d(3, d(B1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(F1, d(G1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), Z)))), I))), K)))))))))))), d(O, d(Q, L)))))), K)))))))), I)))))), I)), E1=d(d(2, d(O, d(U, K))), K), R=d(B1, K), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(W, d(G, F1))))), I))), d(d(2, d(1, X)), d(F1, d(d(3, d(3, d(1, H1))), H1))))))), I)), K), I1=d(A, A), J1=d(A, I1), K1=d(A, H), L1=d(A, d(A, M1)), H=d(A, N1), C=d(A, d(D, d(H, A))), D=d(A, d(B, d(E, N1))), N1=d(A, O1), P1=d(A, d(O1, d(K1, Q1))), J=d(A, d(d(E, d(A, d(P1, d(A, K1)))), B)), H1=d(E1, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Z)))), I))), K))), d(3, d(B1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, d(d(2, d(1, d(2, d(O, d(Q, d(d(2, d(1, d(2, d(W, Z)))), I)))))), I)))))), Z)))), I))), K))))), R1=d(I1, d(A, d(S1, S1))), S1=d(J1, J1), F=d(P1, P1), M1=d(R1, R1), B=d(d(L1, A), d(H, d(K1, d(H, Q1)))), T1=d(d(L1, M1), L1), E=d(F, F), O1=d(T1, T1), Q1=d(O1, K1)]).
mm_proof(merco1lem18, d(d(A, d(B, d(C, D))), d(E, d(E, F)))-[G=d(1, 1), H=d(1, I), J=d(2, G), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, N))))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, W))), X)))), N)))))), R=d(2, H), Y=d(2, d(K, d(M, d(1, W)))), Z=d(2, d(L, A1)), B1=d(3, d(Z, T)), V=d(3, d(Z, d(d(2, d(1, d(2, d(L, d(O, A1))))), N))), I=d(d(2, 1), 1), N=d(J, I), X=d(J, d(d(2, d(1, C1)), T)), T=d(L, N), W=d(d(2, d(1, d(2, I))), N), A1=d(d(2, d(1, d(2, d(d(2, d(1, R)), X)))), N), D1=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F=d(d(2, d(1, d(d(2, d(L, d(S, d(d(2, d(K, d(J, d(2, d(1, d(d(2, d(K, d(M, d(K, d(J, H))))), d(J, 1))))))), d(L, d(O, d(1, d(J, d(d(2, d(1, d(2, d(L, d(O, d(Y, d(J, d(d(2, d(1, d(2, d(Y, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), d(J, T))))), N)))))), N)))))))), N))))))))), I))), d(d(2, d(1, d(2, d(Q, d(J, d(d(2, d(1, d(2, d(Q, d(J, d(2, d(1, d(d(2, d(L, d(S, d(d(2, d(K, d(J, d(2, d(1, d(3, d(1, d(C1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(P, d(d(D1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I))))))), X)))), N))), I))), d(3, d(Z, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(D1, d(E1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), X)))), N))), I)))))))))))), d(L, d(O, G)))))), I)))))))), N)))))), N)), C1=d(d(2, d(L, d(S, I))), I), P=d(Z, I), E1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(J, D1))))), N))), d(d(2, d(1, V)), d(D1, d(d(3, d(3, d(1, F1))), F1))))))), N)), I), G1=d(F, F), E=d(F, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(H1, d(I1, d(F, d(J1, d(d(A, d(F, K1)), I1))))))))), d(J, C))))), N))), d(1, d(L1, L1)))), I)), M1=d(F, G1), N1=d(F, C), O1=d(F, d(F, P1)), C=d(F, Q1), I1=d(F, d(J1, d(C, F))), J1=d(F, d(H1, d(A, Q1))), Q1=d(F, R1), S1=d(F, d(R1, D)), L1=d(F, d(d(A, d(F, d(S1, d(F, N1)))), H1)), F1=d(C1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), X)))), N))), I))), d(3, d(Z, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Z, d(d(2, d(1, d(2, d(L, d(O, d(d(2, d(1, d(2, d(U, X)))), N)))))), N)))))), X)))), N))), I))))), T1=d(G1, d(F, d(U1, U1))), U1=d(M1, M1), D=d(N1, V1), B=d(O1, F), K1=d(S1, S1), P1=d(T1, T1), H1=d(B, d(C, d(N1, d(C, V1)))), W1=d(d(O1, P1), O1), A=d(K1, K1), R1=d(W1, W1), V1=d(R1, N1)]).
mm_proof(mercolem1, d(d(d(d(A, d(A, d(A, A))), A), A), A)-[B=d(1, C), D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, J)), K=d(2, d(1, d(2, d(1, d(G, L))))), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), L)))))), J=d(2, D), U=d(2, d(G, d(K, d(1, S)))), V=d(2, d(H, W)), C=d(3, d(V, P)), R=d(3, d(V, d(d(2, d(1, d(2, d(H, d(M, W))))), L))), E=d(d(2, 1), 1), L=d(F, E), T=d(F, d(d(2, d(1, X)), P)), P=d(H, L), A=d(d(2, d(1, d(2, d(1, Y)))), d(d(2, d(1, d(2, d(U, d(F, d(d(2, d(1, d(2, d(U, d(F, d(1, d(d(2, d(1, F)), d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(H, d(O, d(d(2, d(G, d(F, J))), d(H, d(M, B)))))), E))))), d(d(2, d(G, d(K, d(G, d(F, D))))), L)))), d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(H, d(O, d(d(2, d(G, d(F, d(2, d(1, d(I, L)))))), d(H, d(M, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), d(F, P))))), L)))), L)))))))), E)))), L))), d(d(2, Y), d(1, d(3, d(1, d(X, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(N, d(d(Z, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E))))))), T)))), L))), E))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(Z, d(A1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), T)))), L))), E)))))))))))))))))), L)))))), L)), S=d(d(2, d(1, d(2, E))), L), W=d(d(2, d(1, d(2, d(I, T)))), L), Z=d(d(2, B), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(U, L), X=d(d(2, d(H, d(O, E))), E), N=d(V, E), A1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(F, Z))))), L))), d(d(2, d(1, R)), d(Z, d(d(3, d(3, d(1, B1))), B1))))))), L)), E), B1=d(X, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), L))), E))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(H, d(M, d(d(2, d(1, d(2, d(Q, T)))), L)))))), L)))))), T)))), L))), E)))))]).
mm_proof(mercolem2, d(d(d(d(A, d(A, d(A, d(A, A)))), A), A), A)-[B=d(1, C), D=d(1, E), F=d(2, d(1, 1)), G=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, J)), K=d(2, d(1, d(2, d(1, d(G, L))))), M=d(2, d(1, d(2, d(1, N)))), O=d(2, d(1, d(2, P))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, S))), T)))), L)))))), J=d(2, D), U=d(2, d(G, d(K, d(1, S)))), V=d(2, d(H, W)), C=d(3, d(V, P)), R=d(3, d(V, d(d(2, d(1, d(2, d(H, d(M, W))))), L))), E=d(d(2, 1), 1), L=d(F, E), T=d(F, d(d(2, d(1, X)), P)), P=d(H, L), A=d(d(2, d(1, d(2, d(1, Y)))), d(d(2, d(1, d(2, d(U, d(F, d(d(2, d(1, d(2, d(U, d(F, d(1, d(d(2, d(1, F)), d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(H, d(O, d(d(2, d(G, d(F, J))), d(H, d(M, B)))))), E))))), d(d(2, d(G, d(K, d(G, d(F, D))))), L)))), d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(H, d(O, d(d(2, d(G, d(F, d(2, d(1, d(I, L)))))), d(H, d(M, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), d(F, P))))), L)))), L)))))))), E)))), L))), d(d(2, Y), d(1, d(3, d(1, d(X, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(N, d(d(Z, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), E))))))), T)))), L))), E))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(Z, d(A1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), T)))), L))), E)))))))))))))))))), L)))))), L)), S=d(d(2, d(1, d(2, E))), L), W=d(d(2, d(1, d(2, d(I, T)))), L), Z=d(d(2, B), d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Y=d(U, L), X=d(d(2, d(H, d(O, E))), E), N=d(V, E), A1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(F, Z))))), L))), d(d(2, d(1, R)), d(Z, d(d(3, d(3, d(1, B1))), B1))))))), L)), E), B1=d(X, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T)))), L))), E))), d(3, d(V, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(H, d(M, d(d(2, d(1, d(2, d(Q, T)))), L)))))), L)))))), T)))), L))), E)))))]).
mm_proof(mercolem4, d(d(d(d(A, d(d(d(d(d(A, d(A, d(A, d(d(d(d(A, B), A), A), A)))), A), A), A), d(A, d(C, d(C, A))))), A), A), A)-[D=d(1, E), F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, L)), M=d(2, d(1, d(2, d(1, d(I, N))))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), N)))))), L=d(2, F), W=d(2, d(I, d(M, d(1, U)))), X=d(2, d(J, Y)), E=d(3, d(X, R)), T=d(3, d(X, d(d(2, d(1, d(2, d(J, d(O, Y))))), N))), G=d(d(2, 1), 1), N=d(H, G), V=d(H, d(d(2, d(1, Z)), R)), R=d(J, N), A=d(d(2, d(1, d(2, d(1, A1)))), d(d(2, d(1, d(2, d(W, d(H, d(d(2, d(1, d(2, d(W, d(H, d(1, d(d(2, d(1, H)), d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(Q, d(d(2, d(I, d(H, L))), d(J, d(O, D)))))), G))))), d(d(2, d(I, d(M, d(I, d(H, F))))), N)))), d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(J, d(Q, d(d(2, d(I, d(H, d(2, d(1, d(K, N)))))), d(J, d(O, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), d(H, R))))), N)))), N)))))))), G)))), N))), d(d(2, A1), d(1, d(3, d(1, d(Z, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(P, d(d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G))))))), V)))), N))), G))), d(3, d(X, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(B1, d(C1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), V)))), N))), G)))))))))))))))))), N)))))), N)), U=d(d(2, d(1, d(2, G))), N), Y=d(d(2, d(1, d(2, d(K, V)))), N), B1=d(d(2, D), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(W, N), Z=d(d(2, d(J, d(Q, G))), G), P=d(X, G), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, B1))))), N))), d(d(2, d(1, T)), d(B1, d(d(3, d(3, d(1, D1))), D1))))))), N)), G), B=d(A, d(A, d(A, A))), D1=d(Z, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), N))), G))), d(3, d(X, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(J, d(O, d(d(2, d(1, d(2, d(S, V)))), N)))))), N)))))), V)))), N))), G))))), C=d(d(d(B, A), A), A)]).
mm_proof(mercolem5, d(d(d(d(A, d(d(d(d(A, B), A), A), A)), d(d(d(d(B, A), A), A), A)), A), A)-[C=d(1, D), E=d(1, F), G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, K)), L=d(2, d(1, d(2, d(1, d(H, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), U)))), M)))))), K=d(2, E), V=d(2, d(H, d(L, d(1, T)))), W=d(2, d(I, X)), D=d(3, d(W, Q)), S=d(3, d(W, d(d(2, d(1, d(2, d(I, d(N, X))))), M))), F=d(d(2, 1), 1), M=d(G, F), U=d(G, d(d(2, d(1, Y)), Q)), Q=d(I, M), A=d(d(2, d(1, d(2, d(1, Z)))), d(d(2, d(1, d(2, d(V, d(G, d(d(2, d(1, d(2, d(V, d(G, d(1, d(d(2, d(1, G)), d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(P, d(d(2, d(H, d(G, K))), d(I, d(N, C)))))), F))))), d(d(2, d(H, d(L, d(H, d(G, E))))), M)))), d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(I, d(P, d(d(2, d(H, d(G, d(2, d(1, d(J, M)))))), d(I, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), d(G, Q))))), M)))), M)))))))), F)))), M))), d(d(2, Z), d(1, d(3, d(1, d(Y, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(O, d(d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F))))))), U)))), M))), F))), d(3, d(W, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(A1, d(B1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), U)))), M))), F)))))))))))))))))), M)))))), M)), T=d(d(2, d(1, d(2, F))), M), X=d(d(2, d(1, d(2, d(J, U)))), M), A1=d(d(2, C), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(V, M), Y=d(d(2, d(I, d(P, F))), F), O=d(W, F), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, A1))))), M))), d(d(2, d(1, S)), d(A1, d(d(3, d(3, d(1, C1))), C1))))))), M)), F), B=d(A, d(A, d(A, A))), C1=d(Y, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), M))), F))), d(3, d(W, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(I, d(N, d(d(2, d(1, d(2, d(R, U)))), M)))))), M)))))), U)))), M))), F)))))]).
mm_proof(mercolem6, d(d(d(d(A, A), B), B), B)-[C=d(1, D), E=d(1, F), G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, K)), L=d(2, d(1, d(2, d(1, d(H, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), U)))), M)))))), K=d(2, E), V=d(2, d(H, d(L, d(1, T)))), W=d(2, d(I, X)), D=d(3, d(W, Q)), S=d(3, d(W, d(d(2, d(1, d(2, d(I, d(N, X))))), M))), F=d(d(2, 1), 1), M=d(G, F), U=d(G, d(d(2, d(1, Y)), Q)), Q=d(I, M), B=d(d(2, d(1, d(2, d(1, Z)))), d(d(2, d(1, d(2, d(V, d(G, d(d(2, d(1, d(2, d(V, d(G, d(1, d(d(2, d(1, G)), d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(I, d(P, d(d(2, d(H, d(G, K))), d(I, d(N, C)))))), F))))), d(d(2, d(H, d(L, d(H, d(G, E))))), M)))), d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(I, d(P, d(d(2, d(H, d(G, d(2, d(1, d(J, M)))))), d(I, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), d(G, Q))))), M)))), M)))))))), F)))), M))), d(d(2, Z), d(1, d(3, d(1, d(Y, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(O, d(d(A1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F))))))), U)))), M))), F))), d(3, d(W, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(A1, d(B1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), U)))), M))), F)))))))))))))))))), M)))))), M)), T=d(d(2, d(1, d(2, F))), M), X=d(d(2, d(1, d(2, d(J, U)))), M), A1=d(d(2, C), d(D, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(V, M), Y=d(d(2, d(I, d(P, F))), F), O=d(W, F), B1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(R, d(G, A1))))), M))), d(d(2, d(1, S)), d(A1, d(d(3, d(3, d(1, C1))), C1))))))), M)), F), D1=d(B, d(B, d(B, B))), E1=d(B, d(d(d(d(B, D1), B), B), B)), C1=d(Y, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), U)))), M))), F))), d(3, d(W, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(I, d(N, d(d(2, d(1, d(2, d(R, U)))), M)))))), M)))))), U)))), M))), F))))), F1=d(d(d(D1, B), B), B), G1=d(F1, B), A=d(d(d(d(d(d(d(B, d(d(d(d(d(B, d(B, E1)), B), B), B), d(B, d(F1, G1)))), B), B), B), d(d(d(E1, G1), B), B)), d(F1, F1)), B)]).
mm_proof(mercolem7, d(d(A, d(d(d(d(d(B, B), C), C), C), D)), C)-[E=d(1, F), G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, M)), N=d(2, d(1, d(2, d(1, d(J, O))))), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, V))), W)))), O)))))), M=d(2, G), X=d(2, d(J, d(N, d(1, V)))), Y=d(2, d(K, Z)), F=d(3, d(Y, S)), U=d(3, d(Y, d(d(2, d(1, d(2, d(K, d(P, Z))))), O))), H=d(d(2, 1), 1), O=d(I, H), W=d(I, d(d(2, d(1, A1)), S)), S=d(K, O), C=d(d(2, d(1, d(2, d(1, B1)))), d(d(2, d(1, d(2, d(X, d(I, d(d(2, d(1, d(2, d(X, d(I, d(1, d(d(2, d(1, I)), d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(K, d(R, d(d(2, d(J, d(I, M))), d(K, d(P, E)))))), H))))), d(d(2, d(J, d(N, d(J, d(I, G))))), O)))), d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(K, d(R, d(d(2, d(J, d(I, d(2, d(1, d(L, O)))))), d(K, d(P, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), d(I, S))))), O)))), O)))))))), H)))), O))), d(d(2, B1), d(1, d(3, d(1, d(A1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(Q, d(d(C1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H))))))), W)))), O))), H))), d(3, d(Y, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(C1, d(D1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), W)))), O))), H)))))))))))))))))), O)))))), O)), V=d(d(2, d(1, d(2, H))), O), Z=d(d(2, d(1, d(2, d(L, W)))), O), C1=d(d(2, E), d(F, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(X, O), A1=d(d(2, d(K, d(R, H))), H), Q=d(Y, H), D1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(I, C1))))), O))), d(d(2, d(1, U)), d(C1, d(d(3, d(3, d(1, E1))), E1))))))), O)), H), F1=d(C, d(C, d(C, C))), G1=d(C, d(d(d(d(C, F1), C), C), C)), E1=d(A1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), W)))), O))), H))), d(3, d(Y, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Y, d(d(2, d(1, d(2, d(K, d(P, d(d(2, d(1, d(2, d(T, W)))), O)))))), O)))))), W)))), O))), H))))), H1=d(d(d(F1, C), C), C), D=d(d(d(d(C, d(C, G1)), C), C), C), I1=d(H1, C), A=d(d(d(d(d(C, d(D, d(C, d(H1, I1)))), C), C), C), d(d(d(G1, I1), C), C)), B=d(d(A, d(H1, H1)), C)]).
mm_proof(mercolem8, d(d(d(d(A, d(B, B)), d(C, A)), A), A)-[D=d(1, E), F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, L)), M=d(2, d(1, d(2, d(1, d(I, N))))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), V)))), N)))))), L=d(2, F), W=d(2, d(I, d(M, d(1, U)))), X=d(2, d(J, Y)), E=d(3, d(X, R)), T=d(3, d(X, d(d(2, d(1, d(2, d(J, d(O, Y))))), N))), G=d(d(2, 1), 1), N=d(H, G), V=d(H, d(d(2, d(1, Z)), R)), R=d(J, N), A=d(d(2, d(1, d(2, d(1, A1)))), d(d(2, d(1, d(2, d(W, d(H, d(d(2, d(1, d(2, d(W, d(H, d(1, d(d(2, d(1, H)), d(d(2, d(1, d(d(2, d(1, d(2, d(1, d(d(2, d(J, d(Q, d(d(2, d(I, d(H, L))), d(J, d(O, D)))))), G))))), d(d(2, d(I, d(M, d(I, d(H, F))))), N)))), d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(J, d(Q, d(d(2, d(I, d(H, d(2, d(1, d(K, N)))))), d(J, d(O, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), d(H, R))))), N)))), N)))))))), G)))), N))), d(d(2, A1), d(1, d(3, d(1, d(Z, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(P, d(d(B1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G))))))), V)))), N))), G))), d(3, d(X, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(B1, d(C1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), V)))), N))), G)))))))))))))))))), N)))))), N)), U=d(d(2, d(1, d(2, G))), N), Y=d(d(2, d(1, d(2, d(K, V)))), N), B1=d(d(2, D), d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(W, N), Z=d(d(2, d(J, d(Q, G))), G), P=d(X, G), C1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(H, B1))))), N))), d(d(2, d(1, T)), d(B1, d(d(3, d(3, d(1, D1))), D1))))))), N)), G), E1=d(A, d(A, d(A, A))), F1=d(A, d(d(d(d(A, E1), A), A), A)), D1=d(Z, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), N))), G))), d(3, d(X, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(J, d(O, d(d(2, d(1, d(2, d(S, V)))), N)))))), N)))))), V)))), N))), G))))), G1=d(d(d(E1, A), A), A), C=d(d(d(d(A, d(A, F1)), A), A), A), H1=d(G1, A), I1=d(d(d(d(d(A, d(C, d(A, d(G1, H1)))), A), A), A), d(d(d(F1, H1), A), A)), J1=d(d(I1, d(G1, G1)), A), B=d(d(I1, d(d(d(d(d(J1, J1), A), A), A), C)), A)]).
mm_proof('rb-bijust', d(d(A, d(d(2, d(1, d(B, C))), D)), d(d(2, d(1, d(B, d(E, F)))), d(B, d(E, C))))-[G=d(1, H), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, d(J, M))))), N=d(2, d(1, d(2, d(1, O)))), P=d(2, d(1, d(2, A))), Q=d(2, d(1, B)), R=d(2, d(1, d(B, d(d(A, E), E)))), S=d(2, d(J, d(L, d(1, T)))), U=d(2, d(J, d(L, d(J, d(I, G))))), V=d(2, d(K, W)), X=d(3, d(V, Y)), Z=d(3, d(V, d(d(2, d(1, d(2, d(K, d(N, W))))), M))), H=d(d(2, 1), 1), A1=d(I, 1), M=d(I, H), B1=d(I, C1), Y=d(K, M), D1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), B1)))), M)), A=d(d(2, d(1, d(2, d(1, d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1), T=d(d(2, d(1, d(2, H))), M), W=d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), B1)))), M), E1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, H))))), M)))), M), B=d(d(2, d(1, X)), d(X, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), F1=d(d(2, d(1, Z)), D), G1=d(Q, H), C1=d(d(2, d(1, H1)), Y), H1=d(d(2, d(K, d(d(2, d(1, d(2, Y))), H))), H), O=d(V, H), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, B))))), M))), F1)))), M)), H), F=d(d(3, d(3, d(1, I1))), I1), D=d(B, F), J1=d(B, d(E, K1)), L1=d(B, K1), M1=d(B, d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, d(Q, N1))))))), M))), d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, N1))))), M)))), M)))))), M)), H)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(K, G1)))))), M))), d(K, E1))))), M)), H))), I1=d(H1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), M))), H))), d(3, d(V, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(V, d(d(2, d(1, d(2, d(K, d(N, d(d(2, d(1, d(2, d(P, B1)))), M)))))), M)))))), B1)))), M))), H))))), O1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(U, d(I, G1))))))), M))), d(U, d(I, E1)))))), M)), H), Q1), R1=d(d(A, d(d(2, d(1, d(B, O1))), d(B, P1))), d(d(2, d(1, d(B, d(E, P1)))), d(B, d(E, O1)))), C=d(d(A, d(d(2, d(1, d(B, S1))), d(B, T1))), d(d(2, d(1, d(B, d(E, T1)))), d(B, d(E, S1)))), Q1=d(d(A, O), C1), K1=d(d(A, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(J, d(2, d(1, F1)))))))), M))), d(J, Q))))), M)), H)), d(d(2, d(J, d(d(2, d(1, d(2, d(1, A)))), d(S, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, B))), A1)))), M)))))), d(S, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F1))), A1)))), M))))), N1=d(J1, d(d(A, d(d(2, d(1, d(B, U1))), d(B, V1))), d(d(2, d(1, d(B, d(E, V1)))), d(B, d(E, U1))))), W1=d(L1, d(1, d(E, Q1))), U1=d(L1, d(1, Q1)), X1=d(L1, H), Y1=d(L1, d(d(2, d(1, L1)), d(I, Z))), Z1=d(L1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(U, d(I, d(Q, X)))))))), M))), d(U, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, d(R, X))))), M)))), M))))))), M)), H)), V1=d(L1, d(J1, d(d(A, d(d(2, d(1, d(B, X1))), d(B, W1))), d(d(2, d(1, d(B, d(E, W1)))), d(B, d(E, X1)))))), S1=d(M1, R1), T1=d(M1, d(d(d(d(2, d(1, d(2, d(1, d(J1, d(d(A, d(d(2, d(1, d(B, Y1))), d(B, Z1))), d(d(2, d(1, d(B, d(E, Z1)))), d(B, d(E, Y1))))))))), D1), R1), S1))]).
mm_proof('rb-imdf', d(d(A, d(d(B, d(d(2, d(1, d(A, C))), D)), d(d(2, d(1, d(A, d(E, F)))), d(A, d(E, C))))), G)-[H=d(1, I), J=d(2, d(1, 1)), K=d(2, d(1, 2)), L=d(2, d(1, 3)), M=d(2, d(1, d(2, d(1, d(K, N))))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, B))), R=d(2, d(1, A)), S=d(2, d(1, d(A, d(d(B, E), E)))), T=d(2, d(K, d(M, d(1, U)))), V=d(2, d(K, d(M, d(K, d(J, H))))), W=d(2, d(L, X)), Y=d(3, d(W, Z)), A1=d(3, d(W, d(d(2, d(1, d(2, d(L, d(O, X))))), N))), I=d(d(2, 1), 1), B1=d(J, 1), N=d(J, I), C1=d(J, D1), Z=d(L, N), E1=d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), C1)))), N)), B=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1), U=d(d(2, d(1, d(2, I))), N), X=d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), C1)))), N), F1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(S, I))))), N)))), N), A=d(d(2, d(1, Y)), d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), G1=d(d(2, d(1, A1)), D), H1=d(R, I), D1=d(d(2, d(1, I1)), Z), I1=d(d(2, d(L, d(d(2, d(1, d(2, Z))), I))), I), P=d(W, I), E=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, A))))), N))), G1)))), N)), I), F=d(d(3, d(3, d(1, J1))), J1), D=d(A, F), K1=d(A, d(E, L1)), M1=d(A, L1), N1=d(A, d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(L, d(R, O1))))))), N))), d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(S, O1))))), N)))), N)))))), N)), I)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(L, H1)))))), N))), d(L, F1))))), N)), I))), J1=d(I1, d(d(2, d(1, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), C1)))), N))), I))), d(3, d(W, d(d(2, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(W, d(d(2, d(1, d(2, d(L, d(O, d(d(2, d(1, d(2, d(Q, C1)))), N)))))), N)))))), C1)))), N))), I))))), P1=d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(V, d(J, H1))))))), N))), d(V, d(J, F1)))))), N)), I), R1), G=d(d(B, d(d(2, d(1, d(A, P1))), d(A, Q1))), d(d(2, d(1, d(A, d(E, Q1)))), d(A, d(E, P1)))), C=d(d(B, d(d(2, d(1, d(A, S1))), d(A, T1))), d(d(2, d(1, d(A, d(E, T1)))), d(A, d(E, S1)))), R1=d(d(B, P), D1), L1=d(d(B, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(K, d(2, d(1, G1)))))))), N))), d(K, R))))), N)), I)), d(d(2, d(K, d(d(2, d(1, d(2, d(1, B)))), d(T, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), B1)))), N)))))), d(T, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G1))), B1)))), N))))), O1=d(K1, d(d(B, d(d(2, d(1, d(A, U1))), d(A, V1))), d(d(2, d(1, d(A, d(E, V1)))), d(A, d(E, U1))))), W1=d(M1, d(1, d(E, R1))), U1=d(M1, d(1, R1)), X1=d(M1, I), Y1=d(M1, d(d(2, d(1, M1)), d(J, A1))), Z1=d(M1, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(J, d(V, d(J, d(R, Y)))))))), N))), d(V, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(S, Y))))), N)))), N))))))), N)), I)), V1=d(M1, d(K1, d(d(B, d(d(2, d(1, d(A, X1))), d(A, W1))), d(d(2, d(1, d(A, d(E, W1)))), d(A, d(E, X1)))))), S1=d(N1, G), T1=d(N1, d(d(d(d(2, d(1, d(2, d(1, d(K1, d(d(B, d(d(2, d(1, d(A, Y1))), d(A, Z1))), d(d(2, d(1, d(A, d(E, Z1)))), d(A, d(E, Y1))))))))), E1), G), S1))]).
mm_proof(anmp, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(d(2, d(1, d(A, d(B, E)))), d(A, d(B, D)))))))-[F=d(1, G), H=d(2, d(1, 1)), I=d(2, d(1, 2)), J=d(2, d(1, 3)), K=d(2, d(1, d(2, d(1, L)))), M=d(2, d(1, d(2, C))), N=d(2, d(1, A)), O=d(2, d(I, d(d(2, d(1, d(2, d(1, d(I, P))))), d(I, d(H, F))))), Q=d(2, d(J, R)), S=d(3, d(Q, T)), U=d(3, d(Q, d(d(2, d(1, d(2, d(J, d(K, R))))), P))), G=d(d(2, 1), 1), P=d(H, G), V=d(H, W), T=d(J, P), C=d(d(2, d(1, d(2, d(1, d(U, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), P)))), V)))), P))), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), V)))), P), A=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), W=d(d(2, d(1, X)), T), X=d(d(2, d(J, d(d(2, d(1, d(2, T))), G))), G), L=d(Q, G), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, A))))), P))), d(d(2, d(1, U)), d(A, d(d(3, d(3, d(1, Y))), Y))))))), P)), G), Y=d(X, d(d(2, d(1, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), P))), G))), d(3, d(Q, d(d(2, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(Q, d(d(2, d(1, d(2, d(J, d(K, d(d(2, d(1, d(2, d(M, V)))), P)))))), P)))))), V)))), P))), G))))), D=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), E=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(H, d(O, d(H, d(N, G)))))))), P))), d(O, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(d(2, d(1, d(A, d(d(C, B), B)))), G))))), P)))), P))))))), P)), G), d(d(C, L), W))]).
mm_proof('rb-ax1', d(A, d(d(2, d(1, A)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(B, d(C, d(d(2, d(D, d(E, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(B, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(2, d(1, d(H, d(C, I)))))))), J)))), I)))))), I))))), K)))), I))))), d(B, d(G, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(B, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F, d(d(2, d(1, d(2, d(B, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(E, d(2, d(1, d(H, 1))))))), J)))), I)))))), I))))), K))), L))))), M)))), I)))), J)))), I)))))), I))))), K)))), I))))), d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), O)))), I))), L))))), M)))), I)))), I))), P)), O))), d(N, d(Q, R)))))-[P=d(1, O), E=d(2, d(1, 1)), D=d(2, d(1, 2)), B=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, S)))), C=d(2, d(1, d(2, T))), U=d(2, d(1, d(2, V))), W=d(2, d(1, N)), H=d(2, d(1, d(N, X))), Y=d(2, d(D, d(d(2, d(1, d(2, d(1, d(D, I))))), d(D, d(E, P))))), F=d(2, d(B, Z)), A1=d(3, d(F, T)), B1=d(3, d(F, d(d(2, d(1, d(2, d(B, d(G, Z))))), I))), O=d(d(2, 1), 1), I=d(E, O), J=d(E, C1), T=d(B, I), M=d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), I)))), J)))), I)), V=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), I), N=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, D1)), T), D1=d(d(2, d(B, d(C, O))), O), S=d(F, O), Q=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(E, N))))), I))), d(d(2, d(1, B1)), d(N, d(d(3, d(3, d(1, E1))), E1))))))), I)), O), K=d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(N, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(N, R), E1=d(D1, d(d(2, d(1, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), O))), d(3, d(F, d(d(2, d(B, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F, d(d(2, d(1, d(2, d(B, d(G, d(d(2, d(1, d(2, d(U, J)))), I)))))), I)))))), J)))), I))), O))))), X=d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), F1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(U, d(E, d(Y, d(E, d(W, O)))))))), I))), d(Y, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(W, d(d(2, d(1, d(N, d(d(V, Q), Q)))), O))))), I)))), I))))))), I)), O), d(d(V, S), C1)), R=d(d(V, d(H, d(N, F1))), d(d(2, d(1, d(N, d(Q, F1)))), d(N, d(Q, X))))]).
mm_proof('rb-ax2', d(A, d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(C, d(D, d(d(2, d(d(2, d(1, 2)), d(E, d(1, d(F, 1))))), d(C, d(G, d(d(2, d(1, d(2, d(1, d(F, d(D, H)))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), J)))))), K)))), H))), J))))-[E=d(2, d(1, 1)), C=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(B, J))))), D=d(2, d(1, d(2, L))), M=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), H)))), K)))), H)))))), F=d(2, d(1, A)), B=d(2, d(C, O)), P=d(3, d(B, L)), N=d(3, d(B, d(d(2, d(1, d(2, d(C, d(G, O))))), H))), J=d(d(2, 1), 1), H=d(E, J), K=d(E, d(d(2, d(1, Q)), L)), L=d(C, H), O=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, J)))), K)))), H), I=d(d(2, d(1, P)), d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Q=d(d(2, d(C, d(D, J))), J), A=d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(M, d(E, I))))), H))), d(d(2, d(1, N)), d(I, d(d(3, d(3, d(1, R))), R))))))), H)), J), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(Q, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), H))), J))), d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(C, d(G, d(d(2, d(1, d(2, d(M, K)))), H)))))), H)))))), K)))), H))), J)))))]).
mm_proof('rb-ax3', d(A, d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, A)), 1)))))), D)))), E))), F))))-[G=d(2, d(1, 1)), C=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, d(B, F))))), I=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(J, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), E)))), D)))), E)))))), B=d(2, d(C, K)), L=d(3, d(B, M)), J=d(3, d(B, d(d(2, d(1, d(2, d(C, d(H, K))))), E))), F=d(d(2, 1), 1), E=d(G, F), D=d(G, d(d(2, d(1, N)), M)), M=d(C, E), K=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, F)))), D)))), E), O=d(d(2, d(1, L)), d(L, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), N=d(d(2, d(C, d(d(2, d(1, d(2, M))), F))), F), A=d(O, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(I, d(G, O))))), E))), d(d(2, d(1, J)), d(O, d(d(3, d(3, d(1, P))), P))))))), E)), F), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), P=d(N, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D)))), E))), F))), d(3, d(B, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B, d(d(2, d(1, d(2, d(C, d(H, d(d(2, d(1, d(2, d(I, D)))), E)))))), E)))))), D)))), E))), F)))))]).
mm_proof('rb-ax4', d(d(A, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(B, d(C, A))))), D))), d(d(2, d(1, E)), d(A, d(d(3, d(3, d(1, F))), F))))))), D)), G), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), d(3, d(H, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(I, d(J, d(d(2, d(d(2, d(1, 2)), d(C, K))), d(I, d(L, d(M, d(A, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), G)))))), N)))), D))), G))))-[K=d(1, G), C=d(2, d(1, 1)), I=d(2, d(1, 3)), M=d(2, d(1, d(2, K))), L=d(2, d(1, d(2, d(1, d(H, G))))), J=d(2, d(1, d(2, O))), B=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, G))), D)))), N)))), D)))))), H=d(2, d(I, P)), Q=d(3, d(H, O)), E=d(3, d(H, d(d(2, d(1, d(2, d(I, d(L, P))))), D))), G=d(d(2, 1), 1), D=d(C, G), N=d(C, d(d(2, d(1, R)), O)), O=d(I, D), P=d(d(2, d(1, d(2, d(M, N)))), D), A=d(d(2, d(1, Q)), d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), R=d(d(2, d(I, d(J, G))), G), F=d(R, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), D))), G))), d(3, d(H, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(H, d(d(2, d(1, d(2, d(I, d(L, d(d(2, d(1, d(2, d(B, N)))), D)))))), D)))))), N)))), D))), G)))))]).
mm_proof(rbsyl, d(d(d(d(2, d(1, 2)), 1), A), d(A, d(B, d(d(2, d(1, B)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(C, d(D, d(d(2, d(E, d(F, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(C, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(2, d(1, d(I, d(D, J)))))))), K)))), J)))))), J))))), L)))), J))))), d(C, d(H, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(C, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(C, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(F, d(2, d(1, d(I, 1))))))), K)))), J)))))), J))))), L))), M))))), N)))), J)))), K)))), J)))))), J))))), L)))), J))))), d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P)))), J))), M))))), N)))), J)))), J))), Q)), P))), A)))))-[Q=d(1, P), F=d(2, d(1, 1)), E=d(2, d(1, 2)), C=d(2, d(1, 3)), H=d(2, d(1, d(2, d(1, R)))), D=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, U))), V=d(2, d(1, O)), I=d(2, d(1, d(O, W))), X=d(2, d(E, d(d(2, d(1, d(2, d(1, d(E, J))))), d(E, d(F, Q))))), G=d(2, d(C, Y)), Z=d(3, d(G, S)), A1=d(3, d(G, d(d(2, d(1, d(2, d(C, d(H, Y))))), J))), P=d(d(2, 1), 1), J=d(F, P), K=d(F, B1), S=d(C, J), N=d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), J)))), K)))), J)), U=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), K)))), J), O=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), B1=d(d(2, d(1, C1)), S), C1=d(d(2, d(C, d(D, P))), P), R=d(G, P), D1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(F, O))))), J))), d(d(2, d(1, A1)), d(O, d(d(3, d(3, d(1, E1))), E1))))))), J)), P), L=d(O, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M=d(O, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A=d(O, d(D1, F1)), B=d(O, F1), E1=d(C1, d(d(2, d(1, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), K)))), J))), P))), d(3, d(G, d(d(2, d(C, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(C, d(H, d(d(2, d(1, d(2, d(T, K)))), J)))))), J)))))), K)))), J))), P))))), W=d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(F, d(X, d(F, d(V, P)))))))), J))), d(X, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(d(2, d(1, d(O, d(d(U, D1), D1)))), P))))), J)))), J))))))), J)), P), d(d(U, R), B1)), F1=d(d(U, d(I, d(O, G1))), d(d(2, d(1, d(O, d(D1, G1)))), d(O, d(D1, W))))]).
mm_proof(rblem1, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(B, d(C, D))), d(A, D)))-[E=d(1, F), G=d(1, d(H, 1)), I=d(2, d(1, 1)), J=d(2, d(1, 2)), K=d(2, d(1, 3)), L=d(2, d(1, d(2, d(1, M)))), N=d(2, d(1, d(2, O))), P=d(2, d(1, d(2, Q))), R=d(2, d(1, S)), T=d(2, d(1, d(H, d(N, U)))), H=d(2, d(1, V)), W=d(2, d(J, d(d(2, d(1, d(2, d(1, d(J, U))))), d(J, d(I, E))))), X=d(2, d(K, Y)), Z=d(3, d(X, O)), A1=d(3, d(X, d(d(2, d(1, d(2, d(K, d(L, Y))))), U))), A=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), C))), F=d(d(2, 1), 1), U=d(I, F), B1=d(I, C1), O=d(K, U), D1=d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, F))), U)))), B1)))), U)), Q=d(d(2, d(1, d(2, d(1, d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1), Y=d(d(2, d(1, d(2, d(d(2, d(1, d(2, E))), B1)))), U), S=d(d(2, d(1, Z)), d(Z, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, E1)), O), E1=d(d(2, d(K, d(N, F))), F), M=d(X, F), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, S))))), U))), d(d(2, d(1, A1)), d(S, d(d(3, d(3, d(1, G1))), G1))))))), U)), F), H1=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(S, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(S, K1), B=d(S, d(F1, L1)), M1=d(S, L1), G1=d(E1, d(d(2, d(1, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), B1)))), U))), F))), d(3, d(X, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(P, B1)))), U)))))), U)))))), B1)))), U))), F))))), K1=d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(P, d(I, d(W, d(I, d(R, F)))))))), U))), d(W, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(R, d(d(2, d(1, d(S, d(d(Q, F1), F1)))), F))))), U)))), U))))))), U)), F), d(d(Q, M), C1)), L1=d(d(Q, d(H, d(S, N1))), d(d(2, d(1, d(S, d(F1, N1)))), d(S, d(F1, K1)))), D=d(V, d(3, d(X, d(d(2, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(X, d(d(2, d(K, d(N, d(d(2, d(J, d(I, G))), d(K, d(L, d(d(2, d(1, T)), I1))))))), F)))))), B1)))), U))), F)))), C=d(B, d(M1, d(d(2, d(1, M1)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(K, d(N, d(d(2, d(J, d(I, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, T)))), B1)))), U)))))), U))))), H1)))), U))))), d(K, d(L, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(X, d(d(2, d(1, d(2, d(K, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I, d(2, G))))), B1)))), U)))))), U))))), H1))), J1))))), D1)))), U)))), B1)))), U)))))), U))))), H1)))), U))))), I1))))))), F)))), U))), J1))))), D1)))), U)))), U))), E)), F))), B))))]).
mm_proof(rblem2, d(A, d(d(B, d(A, d(C, d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(E, d(F, d(d(2, d(G, d(H, I))), d(E, d(J, d(d(2, d(1, K)), L))))))), M)))))), N)))), O))), M)))))), d(C, d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, P))))), N)))), O))), M))))))-[Q=d(1, M), I=d(1, P), H=d(2, d(1, 1)), G=d(2, d(1, 2)), E=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, R)))), F=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, U))), V=d(2, d(1, W)), K=d(2, d(1, d(X, d(F, O)))), X=d(2, d(1, C)), Y=d(2, d(G, d(d(2, d(1, d(2, d(1, d(G, O))))), d(G, d(H, Q))))), D=d(2, d(E, Z)), A1=d(3, d(D, S)), B1=d(3, d(D, d(d(2, d(1, d(2, d(E, d(J, Z))))), O))), M=d(d(2, 1), 1), O=d(H, M), N=d(H, C1), S=d(E, O), D1=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), O)))), N)))), O)), U=d(d(2, d(1, d(2, d(1, d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), D1), Z=d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), N)))), O), W=d(d(2, d(1, A1)), d(A1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(d(2, d(1, E1)), S), P=d(X, 1), E1=d(d(2, d(E, d(F, M))), M), R=d(D, M), F1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(H, W))))), O))), d(d(2, d(1, B1)), d(W, d(d(3, d(3, d(1, G1))), G1))))))), O)), M), H1=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), L=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I1=d(W, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C=d(W, J1), B=d(W, d(F1, K1)), L1=d(W, K1), G1=d(E1, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), O))), M))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(J, d(d(2, d(1, d(2, d(T, N)))), O)))))), O)))))), N)))), O))), M))))), J1=d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), M1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(H, d(Y, d(H, d(V, M)))))))), O))), d(Y, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(d(2, d(1, d(W, d(d(U, F1), F1)))), M))))), O)))), O))))))), O)), M), d(d(U, R), C1)), K1=d(d(U, d(X, d(W, M1))), d(d(2, d(1, d(W, d(F1, M1)))), d(W, d(F1, J1)))), A=d(B, d(L1, d(d(2, d(1, L1)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(E, d(F, d(d(2, d(G, d(H, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, K)))), N)))), O)))))), O))))), H1)))), O))))), d(E, d(J, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(D, d(d(2, d(1, d(2, d(E, d(J, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(H, d(2, I))))), N)))), O)))))), O))))), H1))), I1))))), D1)))), O)))), N)))), O)))))), O))))), H1)))), O))))), L))))))), M)))), O))), I1))))), D1)))), O)))), O))), Q)), M))), B))))]).
mm_proof(rblem3, d(A, d(d(B, d(C, d(C, d(A, d(D, d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, G))))), H)))), I))), J)))))))), K))-[L=d(1, J), M=d(1, G), N=d(2, d(1, 1)), O=d(2, d(1, 2)), F=d(2, d(1, 3)), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, U))), V=d(2, d(1, W)), X=d(2, d(1, d(Y, d(R, I)))), Y=d(2, d(1, D)), Z=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, I))))), d(O, d(N, L))))), E=d(2, d(F, A1)), B1=d(3, d(E, S)), C1=d(3, d(E, d(d(2, d(1, d(2, d(F, d(P, A1))))), I))), J=d(d(2, 1), 1), I=d(N, J), H=d(N, D1), S=d(F, I), E1=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, J))), I)))), H)))), I)), U=d(d(2, d(1, d(2, d(1, d(C1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), E1), A1=d(d(2, d(1, d(2, d(d(2, d(1, d(2, L))), H)))), I), W=d(d(2, d(1, B1)), d(B1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D1=d(d(2, d(1, F1)), S), G=d(Y, 1), F1=d(d(2, d(F, d(R, J))), J), Q=d(E, J), G1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(N, W))))), I))), d(d(2, d(1, C1)), d(W, d(d(3, d(3, d(1, H1))), H1))))))), I)), J), I1=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), J1=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K1=d(W, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), D=d(W, L1), B=d(W, d(G1, M1)), N1=d(W, M1), H1=d(F1, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), I))), J))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(P, d(d(2, d(1, d(2, d(T, H)))), I)))))), I)))))), H)))), I))), J))))), L1=d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(N, d(Z, d(N, d(V, J)))))))), I))), d(Z, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(d(2, d(1, d(W, d(d(U, G1), G1)))), J))))), I)))), I))))))), I)), J), d(d(U, Q), D1)), M1=d(d(U, d(Y, d(W, O1))), d(d(2, d(1, d(W, d(G1, O1)))), d(W, d(G1, L1)))), K=d(D, d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(F, d(R, d(d(2, d(O, d(N, M))), d(F, d(P, d(d(2, d(1, X)), J1))))))), J)))))), H)))), I))), J)))), C=d(B, d(N1, d(d(2, d(1, N1)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(F, d(R, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, X)))), H)))), I)))))), I))))), I1)))), I))))), d(F, d(P, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(2, M))))), H)))), I)))))), I))))), I1))), K1))))), E1)))), I)))), H)))), I)))))), I))))), I1)))), I))))), J1))))))), J)))), I))), K1))))), E1)))), I)))), I))), L)), J))), B)))), A=d(B, d(C, K))]).
mm_proof(rblem4, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), B), d(d(d(d(2, d(1, 2)), 1), C), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, E)), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), E), d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), G), H)))))))), H)))))))), d(d(I, d(J, d(K, d(d(I, d(J, L)), H)))), d(d(I, d(J, d(M, d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(O, d(P, d(d(2, Q), d(O, d(R, d(S, T))))))), U)))))), V)))), W))), U)))))), d(d(I, d(J, d(J, d(d(I, X), Y)))), d(K, d(d(I, d(J, d(J, d(K, X)))), H))))))-[Z=d(1, U), A1=d(1, B1), C1=d(2, d(1, 1)), D1=d(2, d(1, 2)), O=d(2, d(1, 3)), S=d(2, d(1, d(2, Z))), R=d(2, d(1, d(2, d(1, E1)))), P=d(2, d(1, d(2, F1))), G1=d(2, d(1, d(2, H1))), I1=d(2, d(1, J1)), K1=d(2, d(1, d(L1, d(P, W)))), L1=d(2, d(1, M)), M1=d(2, d(D1, d(d(2, d(1, d(2, d(1, d(D1, W))))), Q))), N=d(2, d(O, N1)), O1=d(3, d(N, F1)), P1=d(3, d(N, d(d(2, d(1, d(2, d(O, d(R, N1))))), W))), D=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, 2)), 1)), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), B=d(d(d(2, d(1, 2)), 1), Q1), C=d(d(d(2, d(1, 2)), 1), R1), Q1=d(d(d(2, d(1, 2)), 1), I), R1=d(d(d(2, d(1, 2)), 1), J), F=d(d(d(2, d(1, 2)), 1), K), U=d(d(2, 1), 1), W=d(C1, U), V=d(C1, S1), Q=d(D1, d(C1, Z)), F1=d(O, W), T1=d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, U))), W)))), V)))), W)), H1=d(d(2, d(1, d(2, d(1, d(P1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), T1), N1=d(d(2, d(1, d(2, d(S, V)))), W), J1=d(d(2, d(1, O1)), d(O1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), S1=d(d(2, d(1, U1)), F1), B1=d(L1, 1), U1=d(d(2, d(O, d(P, U))), U), E1=d(N, U), V1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(C1, J1))))), W))), d(d(2, d(1, P1)), d(J1, d(d(3, d(3, d(1, W1))), W1))))))), W)), U), E=d(D, G), G=d(Q1, d(R1, J)), X1=d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T=d(J1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Y1=d(J1, d(V1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), M=d(J1, Z1), I=d(J1, d(V1, A2)), B2=d(J1, A2), W1=d(U1, d(d(2, d(1, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), V)))), W))), U))), d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(1, d(2, d(O, d(R, d(d(2, d(1, d(2, d(G1, V)))), W)))))), W)))))), V)))), W))), U))))), Z1=d(V1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), C2=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(G1, d(C1, d(M1, d(C1, d(I1, U)))))))), W))), d(M1, d(C1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(I1, d(d(2, d(1, d(J1, d(d(H1, V1), V1)))), U))))), W)))), W))))))), W)), U), d(d(H1, E1), S1)), A2=d(d(H1, d(L1, d(J1, C2))), d(d(2, d(1, d(J1, d(V1, C2)))), d(J1, d(V1, Z1)))), Y=d(M, d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, B1))))), V)))), W))), U)))), H=d(M, d(3, d(N, d(d(2, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(N, d(d(2, d(O, d(P, d(d(2, d(D1, d(C1, A1))), d(O, d(R, d(d(2, d(1, K1)), T))))))), U)))))), V)))), W))), U)))), J=d(I, d(B2, d(d(2, d(1, B2)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(O, d(P, d(d(2, d(D1, d(C1, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C1, K1)))), V)))), W)))))), W))))), X1)))), W))))), d(O, d(R, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(N, d(d(2, d(1, d(2, d(O, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(C1, d(2, A1))))), V)))), W)))))), W))))), X1))), Y1))))), T1)))), W)))), V)))), W)))))), W))))), X1)))), W))))), T))))))), U)))), W))), Y1))))), T1)))), W)))), W))), Z)), U))), I)))), K=d(I, L), L=d(J, H), X=d(J, d(K, Y))]).
mm_proof(rblem5, d(A, d(B, d(A, d(d(C, d(D, d(D, d(d(C, d(d(C, d(D, d(D, E))), d(A, d(B, F)))), E)))), F))))-[G=d(1, H), I=d(1, J), K=d(2, d(1, 1)), L=d(2, d(1, 2)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, G))), O=d(2, d(1, d(2, d(1, P)))), Q=d(2, d(1, d(2, R))), S=d(2, d(1, d(2, T))), U=d(2, d(1, V)), W=d(2, d(1, d(X, d(Q, Y)))), X=d(2, d(1, Z)), A1=d(2, d(L, d(d(2, d(1, d(2, d(1, d(L, Y))))), B1))), C1=d(2, d(M, D1)), E1=d(3, d(C1, R)), F1=d(3, d(C1, d(d(2, d(1, d(2, d(M, d(O, D1))))), Y))), H=d(d(2, 1), 1), Y=d(K, H), G1=d(K, H1), B1=d(L, d(K, G)), R=d(M, Y), I1=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, H))), Y)))), G1)))), Y)), T=d(d(2, d(1, d(2, d(1, d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), I1), D1=d(d(2, d(1, d(2, d(N, G1)))), Y), V=d(d(2, d(1, E1)), d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), H1=d(d(2, d(1, J1)), R), J=d(X, 1), J1=d(d(2, d(M, d(Q, H))), H), P=d(C1, H), K1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(K, V))))), Y))), d(d(2, d(1, F1)), d(V, d(d(3, d(3, d(1, L1))), L1))))))), Y)), H), M1=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N1=d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(V, d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(V, P1), C=d(V, d(K1, Q1)), R1=d(V, Q1), L1=d(J1, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), G1)))), Y))), H))), d(3, d(C1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(2, d(1, d(2, d(M, d(O, d(d(2, d(1, d(2, d(S, G1)))), Y)))))), Y)))))), G1)))), Y))), H))))), P1=d(K1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), S1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(S, d(K, d(A1, d(K, d(U, H)))))))), Y))), d(A1, d(K, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(U, d(d(2, d(1, d(V, d(d(T, K1), K1)))), H))))), Y)))), Y))))))), Y)), H), d(d(T, P), H1)), Q1=d(d(T, d(X, d(V, S1))), d(d(2, d(1, d(V, d(K1, S1)))), d(V, d(K1, P1)))), F=d(Z, d(3, d(C1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(2, d(M, d(Q, d(d(2, d(L, d(K, I))), d(M, d(O, d(d(2, d(1, W)), N1))))))), H)))))), G1)))), Y))), H)))), D=d(C, d(R1, d(d(2, d(1, R1)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(M, d(Q, d(d(2, d(L, d(K, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(C1, d(d(2, d(1, d(2, d(M, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, W)))), G1)))), Y)))))), Y))))), M1)))), Y))))), d(M, d(O, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(C1, d(d(2, d(1, d(2, d(M, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(C1, d(d(2, d(1, d(2, d(M, d(O, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(K, d(2, I))))), G1)))), Y)))))), Y))))), M1))), O1))))), I1)))), Y)))), G1)))), Y)))))), Y))))), M1)))), Y))))), N1))))))), H)))), Y))), O1))))), I1)))), Y)))), Y))), G)), H))), C)))), A=d(C, d(D, F)), B=d(C, d(D, d(D, d(d(C, F), E)))), E=d(d(C, d(D, d(Z, d(3, d(C1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, d(d(2, d(M, d(Q, d(d(2, B1), d(M, d(O, d(N, N1))))))), H)))))), G1)))), Y))), H)))))), d(Z, d(3, d(C1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, J))))), G1)))), Y))), H)))))]).
mm_proof(rblem6, d(A, d(d(A, d(B, d(C, d(B, d(d(A, d(D, d(D, d(d(A, d(d(A, d(D, d(D, E))), d(B, d(C, F)))), E)))), F))))), d(G, d(d(A, d(B, d(d(A, d(D, d(D, d(B, H)))), F))), I))))-[J=d(1, K), L=d(1, M), N=d(2, d(1, 1)), O=d(2, d(1, 2)), P=d(2, d(1, 3)), Q=d(2, d(1, d(2, J))), R=d(2, d(1, d(2, d(1, S)))), T=d(2, d(1, d(2, U))), V=d(2, d(1, d(2, W))), X=d(2, d(1, Y)), Z=d(2, d(1, d(A1, d(T, B1)))), A1=d(2, d(1, C1)), D1=d(2, d(O, d(d(2, d(1, d(2, d(1, d(O, B1))))), E1))), F1=d(2, d(P, G1)), H1=d(3, d(F1, U)), I1=d(3, d(F1, d(d(2, d(1, d(2, d(P, d(R, G1))))), B1))), K=d(d(2, 1), 1), B1=d(N, K), J1=d(N, K1), E1=d(O, d(N, J)), U=d(P, B1), L1=d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), B1)))), J1)))), B1)), W=d(d(2, d(1, d(2, d(1, d(I1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L1), G1=d(d(2, d(1, d(2, d(Q, J1)))), B1), Y=d(d(2, d(1, H1)), d(H1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), K1=d(d(2, d(1, M1)), U), M=d(A1, 1), M1=d(d(2, d(P, d(T, K))), K), S=d(F1, K), N1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(N, Y))))), B1))), d(d(2, d(1, I1)), d(Y, d(d(3, d(3, d(1, O1))), O1))))))), B1)), K), P1=d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), Q1=d(Y, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), R1=d(Y, d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), C1=d(Y, S1), A=d(Y, d(N1, T1)), U1=d(Y, T1), O1=d(M1, d(d(2, d(1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1)))), B1))), K))), d(3, d(F1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(V, J1)))), B1)))))), B1)))))), J1)))), B1))), K))))), S1=d(N1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), V1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(V, d(N, d(D1, d(N, d(X, K)))))))), B1))), d(D1, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(X, d(d(2, d(1, d(Y, d(d(W, N1), N1)))), K))))), B1)))), B1))))))), B1)), K), d(d(W, S), K1)), T1=d(d(W, d(A1, d(Y, V1))), d(d(2, d(1, d(Y, d(N1, V1)))), d(Y, d(N1, S1)))), H=d(C1, d(3, d(F1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, M))))), J1)))), B1))), K)))), F=d(C1, d(3, d(F1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(2, d(P, d(T, d(d(2, d(O, d(N, L))), d(P, d(R, d(d(2, d(1, Z)), Q1))))))), K)))))), J1)))), B1))), K)))), G=d(A, F), D=d(A, d(U1, d(d(2, d(1, U1)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(P, d(T, d(d(2, d(O, d(N, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, Z)))), J1)))), B1)))))), B1))))), P1)))), B1))))), d(P, d(R, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(F1, d(d(2, d(1, d(2, d(P, d(R, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(N, d(2, L))))), J1)))), B1)))))), B1))))), P1))), R1))))), L1)))), B1)))), J1)))), B1)))))), B1))))), P1)))), B1))))), Q1))))))), K)))), B1))), R1))))), L1)))), B1)))), B1))), J)), K))), A)))), B=d(A, d(D, F)), C=d(A, d(D, d(D, I))), I=d(G, E), E=d(d(A, d(D, d(C1, d(3, d(F1, d(d(2, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(F1, d(d(2, d(P, d(T, d(d(2, E1), d(P, d(R, d(Q, Q1))))))), K)))))), J1)))), B1))), K)))))), H)]).
mm_proof(rblem7, d(A, d(d(A, d(B, d(C, d(B, d(d(A, d(D, d(D, d(d(A, d(d(A, d(D, d(D, E))), d(B, d(C, F)))), E)))), F))))), G))-[H=d(1, I), J=d(1, K), L=d(2, d(1, 1)), M=d(2, d(1, 2)), N=d(2, d(1, 3)), O=d(2, d(1, d(2, H))), P=d(2, d(1, d(2, d(1, Q)))), R=d(2, d(1, d(2, S))), T=d(2, d(1, d(2, U))), V=d(2, d(1, W)), X=d(2, d(1, d(Y, d(R, Z)))), Y=d(2, d(1, A1)), B1=d(2, d(M, d(d(2, d(1, d(2, d(1, d(M, Z))))), C1))), D1=d(2, d(N, E1)), F1=d(3, d(D1, S)), G1=d(3, d(D1, d(d(2, d(1, d(2, d(N, d(P, E1))))), Z))), I=d(d(2, 1), 1), Z=d(L, I), H1=d(L, I1), C1=d(M, d(L, H)), S=d(N, Z), J1=d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, I))), Z)))), H1)))), Z)), U=d(d(2, d(1, d(2, d(1, d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J1), E1=d(d(2, d(1, d(2, d(O, H1)))), Z), W=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(d(2, d(1, K1)), S), K=d(Y, 1), K1=d(d(2, d(N, d(R, I))), I), Q=d(D1, I), L1=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(L, W))))), Z))), d(d(2, d(1, G1)), d(W, d(d(3, d(3, d(1, M1))), M1))))))), Z)), I), N1=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O1=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), P1=d(W, d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(W, Q1), A=d(W, d(L1, R1)), S1=d(W, R1), M1=d(K1, d(d(2, d(1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H1)))), Z))), I))), d(3, d(D1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(1, d(2, d(N, d(P, d(d(2, d(1, d(2, d(T, H1)))), Z)))))), Z)))))), H1)))), Z))), I))))), Q1=d(L1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), T1=d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(T, d(L, d(B1, d(L, d(V, I)))))))), Z))), d(B1, d(L, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(V, d(d(2, d(1, d(W, d(d(U, L1), L1)))), I))))), Z)))), Z))))))), Z)), I), d(d(U, Q), I1)), R1=d(d(U, d(Y, d(W, T1))), d(d(2, d(1, d(W, d(L1, T1)))), d(W, d(L1, Q1)))), G=d(A1, d(3, d(D1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, K))))), H1)))), Z))), I)))), F=d(A1, d(3, d(D1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(N, d(R, d(d(2, d(M, d(L, J))), d(N, d(P, d(d(2, d(1, X)), O1))))))), I)))))), H1)))), Z))), I)))), D=d(A, d(S1, d(d(2, d(1, S1)), d(d(2, d(1, d(d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(N, d(R, d(d(2, d(M, d(L, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(N, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, X)))), H1)))), Z)))))), Z))))), N1)))), Z))))), d(N, d(P, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(2, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(N, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(D1, d(d(2, d(1, d(2, d(N, d(P, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(L, d(2, J))))), H1)))), Z)))))), Z))))), N1))), P1))))), J1)))), Z)))), H1)))), Z)))))), Z))))), N1)))), Z))))), O1))))))), I)))), Z))), P1))))), J1)))), Z)))), Z))), H)), I))), A)))), B=d(A, d(D, F)), C=d(A, d(D, d(D, d(d(A, F), E)))), E=d(d(A, d(D, d(A1, d(3, d(D1, d(d(2, d(N, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(2, d(N, d(R, d(d(2, C1), d(N, d(P, d(O, O1))))))), I)))))), H1)))), Z))), I)))))), G)]).
mm_proof(mptnan, d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(C, d(d(2, d(1, d(A, D))), d(A, E))), d(d(2, d(1, d(A, F))), d(A, d(B, D)))))))-[G=d(2, d(1, 1)), H=d(2, d(1, 2)), I=d(2, d(1, 3)), J=d(2, d(1, d(2, d(1, K)))), L=d(2, d(1, d(2, C))), M=d(2, d(1, A)), N=d(2, d(1, d(A, d(d(C, B), B)))), O=d(2, d(H, d(d(2, d(1, d(2, d(1, d(H, P))))), d(1, Q)))), R=d(2, d(I, S)), T=d(3, d(R, U)), V=d(3, d(R, d(d(2, d(1, d(2, d(I, d(J, S))))), P))), W=d(d(2, 1), 1), X=d(G, 1), P=d(G, W), Y=d(G, Z), U=d(I, P), C=d(d(2, d(1, d(2, d(1, d(V, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Q))), Y)))), P))), Q=d(d(2, d(1, d(2, W))), P), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, W)))), Y)))), P), A=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, V)), d(A, d(d(3, d(3, d(1, B1))), B1))), Z=d(d(2, d(1, C1)), U), C1=d(d(2, d(I, d(d(2, d(1, d(2, U))), W))), W), K=d(R, W), B=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, A))))), P))), A1)))), P)), W), D1=d(A, d(B, E1)), F1=d(A, E1), B1=d(C1, d(d(2, d(1, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Y)))), P))), W))), d(3, d(R, d(d(2, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(2, d(1, d(2, d(I, d(J, d(d(2, d(1, d(2, d(L, Y)))), P)))))), P)))))), Y)))), P))), W))))), F=d(B, E), E=d(d(C, K), Z), E1=d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(H, d(2, d(1, A1)))))))), P))), d(H, M))))), P)), W)), d(d(2, d(H, d(d(2, d(1, d(2, d(1, C)))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A))), X)))), P)))))), d(O, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, A1))), X)))), P))))), G1=d(D1, d(d(C, d(d(2, d(1, d(A, H1))), d(A, I1))), d(d(2, d(1, d(A, d(B, I1)))), d(A, d(B, H1))))), J1=d(F1, d(1, F)), H1=d(F1, d(1, E)), K1=d(F1, W), I1=d(F1, d(D1, d(d(C, d(d(2, d(1, d(A, K1))), d(A, J1))), d(d(2, d(1, d(A, d(B, J1)))), d(A, d(B, K1)))))), D=d(d(A, d(d(C, d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, G1))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, G1))))), P)))), P)))))), P)), W)), d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(L, d(G, d(I, d(M, W))))))), P))), d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(M, d(N, W))))), P)))), P)))))), P)), W))), d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))]).
mm_proof(stoic1b, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(E, d(F, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), G)))))), H))))), I))))), J))))), I))))))), I)))))), K)))), G)))))), H))))), J))))), I))))))), J))))), I))))))), I)))))), K)-[L=d(2, d(1, 1)), M=d(2, d(1, 3)), N=d(2, d(1, d(2, d(1, d(O, P))))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(R, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), H)))), O=d(2, d(M, S)), T=d(3, d(O, U)), R=d(3, d(O, d(d(2, d(1, d(2, d(M, d(N, S))))), I))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), C=d(d(d(2, d(1, 2)), 1), 3), E=d(d(d(2, d(1, 2)), 1), M), F=d(d(d(2, d(1, 2)), 1), N), D=d(d(d(2, d(1, 2)), 1), O), P=d(d(2, 1), 1), I=d(L, P), J=d(L, d(d(2, d(1, V)), U)), U=d(M, I), H=d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, P))), I)))), J)))), I)), S=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, P)))), J)))), I), W=d(d(2, d(1, T)), d(T, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), V=d(d(2, d(M, d(d(2, d(1, d(2, U))), P))), P), K=d(W, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), G=d(W, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(Q, d(L, W))))), I))), d(d(2, d(1, R)), d(W, d(d(3, d(3, d(1, X))), X))))))), I)), P), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), X=d(V, d(d(2, d(1, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), I))), P))), d(3, d(O, d(d(2, d(M, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(O, d(d(2, d(1, d(2, d(M, d(N, d(d(2, d(1, d(2, d(Q, J)))), I)))))), I)))))), J)))), I))), P)))))]).
mm_proof(stoic3, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), 3)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), D)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), E)), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, 2)), 1), F)), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(C, d(B, d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, d(H, d(G, d(H, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(G, 1)), d(I, d(d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(J, d(K, I))))), L))), d(d(2, d(1, M)), d(I, d(d(3, d(3, d(1, N))), N))))))), L)), O), d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))))), P))))), L)))))), K)))))), L)))))), L)))))), Q)))))), L)))))))), L))))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))))))), d(I, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))-[K=d(2, d(1, 1)), E=d(2, d(1, 3)), F=d(2, d(1, d(2, d(1, d(D, O))))), J=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(M, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), P)))), D=d(2, d(E, R)), S=d(3, d(D, T)), M=d(3, d(D, d(d(2, d(1, d(2, d(E, d(F, R))))), L))), H=d(d(d(2, d(1, 2)), 1), 1), G=d(d(d(2, d(1, 2)), 1), 2), A=d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), C=d(d(d(2, d(1, 2)), 1), H), B=d(d(d(2, d(1, 2)), 1), G), O=d(d(2, 1), 1), L=d(K, O), Q=d(K, d(d(2, d(1, U)), T)), T=d(E, L), P=d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, O))), L)))), Q)))), L)), R=d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, O)))), Q)))), L), I=d(d(2, d(1, S)), d(S, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), U=d(d(2, d(E, d(d(2, d(1, d(2, T))), O))), O), N=d(U, d(d(2, d(1, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), Q)))), L))), O))), d(3, d(D, d(d(2, d(E, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(2, d(J, Q)))), L)))))), L)))))), Q)))), L))), O)))))]).
mm_proof(stoic4a, d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, J)), K))))), L)))), M)))), d(F, J))))), M)))), M)))), N)))), M)))))), M))))), O))), P)))))), M)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(E, d(F, d(d(2, d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(Q, R)))), M)))), M)))), N)))), M)))))), M))))), O))), P)))))), M)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(V, d(W, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(T, d(U, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(V, d(W, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(d(d(d(2, d(1, 2)), 1), d(2, d(X, d(d(2, d(1, d(2, d(1, d(X, M))))), d(1, Y))))), d(d(d(d(2, d(1, 2)), 1), F), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, d(S, d(D, d(S, d(A, K)))))), L))))), d(F, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, R))), N)))), M)))))), M))))), O))), K))))), L)))), M)))), N)))), M)))))), M))))), O))))))), M)))), Z))), A1)))), K)))))), L))))), M)))), K)))))), L))))))), M))))), N))))), M))))))), M)))))), O))))), N))))), M))))))), M)))))), O)))), P)))), A1)))), A1)))-[F=d(2, d(1, 1)), X=d(2, d(1, 2)), H=d(2, d(1, 3)), I=d(2, d(1, d(2, d(1, d(G, A1))))), E=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(B1, K))))), L)))), C1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(D1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), L)))), Q=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, Z)), K))))), L)))), M)))), B1=d(2, d(1, A1)), G=d(2, d(H, E1)), F1=d(3, d(G, G1)), D1=d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, E1))))), M))), S=d(d(d(2, d(1, 2)), 1), 1), D=d(d(d(2, d(1, 2)), 1), 2), T=d(d(d(2, d(1, 2)), 1), 3), V=d(d(d(2, d(1, 2)), 1), H), W=d(d(d(2, d(1, 2)), 1), I), U=d(d(d(2, d(1, 2)), 1), G), A=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(D, 1)), A1=d(d(2, 1), 1), M=d(F, A1), R=d(F, Z), N=d(F, d(d(2, d(1, H1)), G1)), G1=d(H, M), L=d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Y))), N)))), M)), Y=d(d(2, d(1, d(2, A1))), M), E1=d(d(2, d(1, d(2, d(d(2, d(1, B1)), N)))), M), B=d(d(2, d(1, F1)), d(F1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), Z=d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(d(2, d(1, d(2, M))), N)))), M)))))), M))))), O), J=d(d(2, d(1, d(3, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(Q, N)))), M)))))), M))))), O), H1=d(d(2, d(H, d(d(2, d(1, d(2, G1))), A1))), A1), C=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(C1, d(F, B))))), M))), d(d(2, d(1, D1)), d(B, d(d(3, d(3, d(1, I1))), I1))))))), M)), A1), P=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), O=d(B, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), K=d(B, d(C, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), I1=d(H1, d(d(2, d(1, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), N)))), M))), A1))), d(3, d(G, d(d(2, d(H, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(G, d(d(2, d(1, d(2, d(H, d(I, d(d(2, d(1, d(2, d(C1, N)))), M)))))), M)))))), N)))), M))), A1)))))]).
mm_proof(stoic4b, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(d(d(d(2, d(1, 2)), 1), d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2))), d(d(d(d(2, d(1, 2)), 1), A), d(d(d(d(2, d(1, 2)), 1), d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, H)), I))))), J)))), K)))), L)))), K)))), K)))), M)))), K)))))), K))))), N))), O))))))), K))))), d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(P, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(R, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, L)))), K)))), K)))), M)))), K)))))), K))))), N))), O)))))), K)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(1, d(d(2, d(1, d(2, d(R, d(D, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(S, T)))), K)))), K)))), M)))), K)))))), K))))), N))), O)))))), K)))), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(W, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(U, d(V, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(W, d(X, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, 2)), 1), d(2, d(Y, d(d(2, d(1, d(2, d(1, d(Y, K))))), d(1, Z))))), d(d(d(d(2, d(1, 2)), 1), D), d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(C, d(D, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, T))), M)))), K)))))), K))))), N))), I))))), J)))), K)))), M)))), K)))))), K))))), N))))))), K)))), A1))), B1)))), I)))))), J))))), K)))), I)))))), J))))))), K))))), M))))), K))))))), K)))))), N))))), M))))), K))))))), K)))))), N)))), O)))), B1)))), B1)))))), B1)-[D=d(2, d(1, 1)), Y=d(2, d(1, 2)), F=d(2, d(1, 3)), G=d(2, d(1, d(2, d(1, d(E, B1))))), R=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(C1, I))))), J)))), D1=d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), J)))), S=d(2, d(1, d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(d(2, d(1, A1)), I))))), J)))), K)))), C1=d(2, d(1, B1)), E=d(2, d(F, F1)), G1=d(3, d(E, H1)), E1=d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, F1))))), K))), B=d(d(d(2, d(1, 2)), 1), 1), A=d(d(d(2, d(1, 2)), 1), 2), U=d(d(d(2, d(1, 2)), 1), 3), W=d(d(d(2, d(1, 2)), 1), F), X=d(d(d(2, d(1, 2)), 1), G), V=d(d(d(2, d(1, 2)), 1), E), C=d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, d(B, d(A, d(B, d(d(d(d(2, d(1, d(d(2, 2), d(1, 1)))), d(d(2, d(1, 1)), 2)), d(A, 1)), I)))))), J))))), B1=d(d(2, 1), 1), K=d(D, B1), T=d(D, A1), L=d(D, H), M=d(D, d(d(2, d(1, I1)), H1)), H1=d(F, K), J=d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, Z))), M)))), K)), Z=d(d(2, d(1, d(2, B1))), K), F1=d(d(2, d(1, d(2, d(d(2, d(1, C1)), M)))), K), P=d(d(2, d(1, G1)), d(G1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), A1=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(d(2, d(1, d(2, K))), M)))), K)))))), K))))), N), H=d(d(2, d(1, d(3, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(S, M)))), K)))))), K))))), N), I1=d(d(2, d(F, d(d(2, d(1, d(2, H1))), B1))), B1), Q=d(d(2, d(d(2, d(1, d(2, d(d(2, d(1, d(d(2, d(1, d(2, d(D1, d(D, P))))), K))), d(d(2, d(1, E1)), d(P, d(d(3, d(3, d(1, J1))), J1))))))), K)), B1), O=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), N=d(P, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))), I=d(P, d(Q, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1)))), J1=d(I1, d(d(2, d(1, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(1, d(d(d(d(2, d(1, 3)), d(d(2, 2), d(1, d(1, d(d(2, 1), 1))))), d(d(2, d(d(2, d(1, 3)), d(d(2, d(1, 3)), 1))), 1)), d(d(2, 1), 1))))))), M)))), K))), B1))), d(3, d(E, d(d(2, d(F, d(d(2, d(1, d(2, d(d(2, d(1, d(2, d(1, d(E, d(d(2, d(1, d(2, d(F, d(G, d(d(2, d(1, d(2, d(D1, M)))), K)))))), K)))))), M)))), K))), B1)))))]).