0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_mrs /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.08/0.35	% Computer : n009.cluster.edu
0.08/0.35	% Model    : x86_64 x86_64
0.08/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.35	% Memory   : 8046.5625MB
0.08/0.35	% OS       : Linux 6.8.0-71-generic
0.08/0.35	% CPULimit : 1440
0.08/0.35	% WCLimit  : 180
0.08/0.35	% DateTime : Mon Jul 27 09:36:28 UTC 2026
0.08/0.36	% CPUTime  : 
0.08/0.36	Running run_mrs /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.14/0.37	% Resolved 3 include directive(s)
0.14/0.37	% Problem: theBenchmark (42 axioms, 1 conjectures, 0 cnf clauses)
0.14/0.37	% Auto schedule: chose portfolio 'casc_feq'
23.20/3.37	% SZS status Theorem for theBenchmark
23.20/3.37	% SZS output start Proof for theBenchmark
23.20/3.37	fof(c20, axiom, ![X0]: (less_than(bottom, X0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bottom_smallest)).
23.20/3.37	fof(c163, axiom, ![X0]: (![X1]: (![X2]: (![X3]: (![X4]: ((less_than(X4, X3) => (check_cpq(triple(X0, insert_slb(X1, pair(X3, X4)), X2)) <=> check_cpq(triple(X0, X1, X2))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax37)).
23.20/3.37	fof(c103, axiom, ![X0]: (![X1]: (![X2]: (![X3]: (triple(insert_pqp(X0, X3), insert_slb(X1, pair(X3, bottom)), X2) = insert_cpq(triple(X0, X1, X2), X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax42)).
23.20/3.37	fof(c193, conjecture, ![X0]: (![X1]: (![X2]: ((~(check_cpq(triple(X0, X1, X2))) => ![X3]: (~(check_cpq(insert_cpq(triple(X0, X1, X2), X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l26_co)).
23.20/3.37	fof(c21, plain, ![X0]: (less_than(bottom, X0)), inference(fof_nnf_transformation, [status(thm)], [c20])).
23.20/3.37	fof(c164, plain, ![X0]: (![X1]: (![X2]: (![X3]: (![X4]: ((~(less_than(X4, X3)) | ((~(check_cpq(triple(X0, insert_slb(X1, pair(X3, X4)), X2))) | check_cpq(triple(X0, X1, X2))) & (check_cpq(triple(X0, insert_slb(X1, pair(X3, X4)), X2)) | ~(check_cpq(triple(X0, X1, X2))))))))))), inference(fof_nnf_transformation, [status(thm)], [c163])).
23.20/3.37	fof(c104, plain, ![X0]: (![X1]: (![X2]: (![X3]: (triple(insert_pqp(X0, X3), insert_slb(X1, pair(X3, bottom)), X2) = insert_cpq(triple(X0, X1, X2), X3))))), inference(fof_nnf_transformation, [status(thm)], [c103])).
23.20/3.37	fof(c0, lemma, ![X0]: (![X1]: (![X2]: ((check_cpq(triple(X0, X1, X2)) <=> ![X3]: (![X4]: ((pair_in_list(X1, X3, X4) => less_than(X4, X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l26_li4142)).
23.20/3.37	fof(c194, negated_conjecture, ~(![X0]: (![X1]: (![X2]: ((~(check_cpq(triple(X0, X1, X2))) => ![X3]: (~(check_cpq(insert_cpq(triple(X0, X1, X2), X3))))))))), inference(negated_conjecture, [status(cth)], [c193])).
23.20/3.37	fof(c22, plain, ![X0]: (less_than(bottom, X0)), inference(skolemisation, [status(esa)], [c21])).
23.20/3.37	fof(c166, definition, ![X0]: (![X1]: (![X2]: (![X3]: (![X4]: ((def_ax37_0(X0, X1, X2, X3, X4) <=> ((~(check_cpq(triple(X0, insert_slb(X1, pair(X3, X4)), X2))) | check_cpq(triple(X0, X1, X2))) & (check_cpq(triple(X0, insert_slb(X1, pair(X3, X4)), X2)) | ~(check_cpq(triple(X0, X1, X2))))))))))), introduced(definition, [new_symbols(definition, [def_ax37_0])])).
23.20/3.37	fof(c165, plain, ![X0]: (![X1]: (![X2]: (![X3]: (![X4]: ((~(less_than(X4, X3)) | ((~(check_cpq(triple(X0, insert_slb(X1, pair(X3, X4)), X2))) | check_cpq(triple(X0, X1, X2))) & (check_cpq(triple(X0, insert_slb(X1, pair(X3, X4)), X2)) | ~(check_cpq(triple(X0, X1, X2))))))))))), inference(skolemisation, [status(esa)], [c164])).
23.20/3.37	fof(c105, plain, ![X0]: (![X1]: (![X2]: (![X3]: (triple(insert_pqp(X0, X3), insert_slb(X1, pair(X3, bottom)), X2) = insert_cpq(triple(X0, X1, X2), X3))))), inference(skolemisation, [status(esa)], [c104])).
23.20/3.37	fof(c1, plain, ![X0]: (![X1]: (![X2]: (((~(check_cpq(triple(X0, X1, X2))) | ![X3]: (![X4]: ((~(pair_in_list(X1, X3, X4)) | less_than(X4, X3))))) & (check_cpq(triple(X0, X1, X2)) | ?[X3]: (?[X4]: ((pair_in_list(X1, X3, X4) & ~(less_than(X4, X3)))))))))), inference(fof_nnf_transformation, [status(thm)], [c0])).
23.20/3.37	fof(c3, definition, ![X0]: (![X1]: (![X2]: ((def_l26_li4142_0(X0, X1, X2) <=> (pair_in_list(X1, sk_l26_li4142_0(X0, X1, X2), sk_l26_li4142_1(X0, X1, X2)) & ~(less_than(sk_l26_li4142_1(X0, X1, X2), sk_l26_li4142_0(X0, X1, X2)))))))), introduced(definition, [new_symbols(definition, [def_l26_li4142_0])])).
23.20/3.37	cnf(c197, plain, ~check_cpq(triple(sk_l26_co_0, sk_l26_co_1, sk_l26_co_2)), inference(cnf_transformation, [status(thm)], [c196])).
23.20/3.37	cnf(c7, plain, check_cpq(triple(X0, X1, X2)) | def_l26_li4142_0(X0, X1, X2), inference(cnf_transformation, [status(thm)], [c2, c3])).
23.20/3.37	fof(c195, plain, ?[X0]: (?[X1]: (?[X2]: ((~(check_cpq(triple(X0, X1, X2))) & ?[X3]: (check_cpq(insert_cpq(triple(X0, X1, X2), X3))))))), inference(fof_nnf_transformation, [status(thm)], [c194])).
23.20/3.37	cnf(c23, plain, less_than(bottom, X0), inference(cnf_transformation, [status(thm)], [c22])).
23.20/3.37	cnf(c169, plain, ~less_than(X4, X3) | def_ax37_0(X0, X1, X2, X3, X4), inference(cnf_transformation, [status(thm)], [c165, c166])).
23.20/3.37	cnf(c167, plain, ~def_ax37_0(X0, X1, X2, X3, X4) | ~check_cpq(triple(X0, insert_slb(X1, pair(X3, X4)), X2)) | check_cpq(triple(X0, X1, X2)), inference(cnf_transformation, [status(thm)], [c165, c166])).
23.20/3.37	cnf(c106, plain, triple(insert_pqp(X0, X3), insert_slb(X1, pair(X3, bottom)), X2) = insert_cpq(triple(X0, X1, X2), X3), inference(cnf_transformation, [status(thm)], [c105])).
23.20/3.37	fof(c2, plain, (![X0]: (![X1]: (![X2]: ((~(check_cpq(triple(X0, X1, X2))) | ![X3]: (![X4]: ((~(pair_in_list(X1, X3, X4)) | less_than(X4, X3)))))))) & ![X0]: (![X1]: (![X2]: ((check_cpq(triple(X0, X1, X2)) | (pair_in_list(X1, sk_l26_li4142_0(X0, X1, X2), sk_l26_li4142_1(X0, X1, X2)) & ~(less_than(sk_l26_li4142_1(X0, X1, X2), sk_l26_li4142_0(X0, X1, X2))))))))), inference(skolemisation, [status(esa)], [c1])).
23.20/3.37	cnf(c4, plain, ~def_l26_li4142_0(X0, X1, X2) | pair_in_list(X1, sk_l26_li4142_0(X0, X1, X2), sk_l26_li4142_1(X0, X1, X2)), inference(cnf_transformation, [status(thm)], [c2, c3])).
23.20/3.37	cnf(c222, plain, def_l26_li4142_0(sk_l26_co_0, sk_l26_co_1, sk_l26_co_2), inference(resolution, [status(thm)], [c7, c197])).
23.20/3.37	fof(c196, plain, (~(check_cpq(triple(sk_l26_co_0, sk_l26_co_1, sk_l26_co_2))) & check_cpq(insert_cpq(triple(sk_l26_co_0, sk_l26_co_1, sk_l26_co_2), sk_l26_co_3))), inference(skolemisation, [status(esa)], [c195])).
23.20/3.37	cnf(c453, plain, def_ax37_0(X0, X1, X2, X5, bottom), inference(resolution, [status(thm)], [c169, c23])).
23.20/3.37	cnf(c3949, plain, ~def_ax37_0(insert_pqp(X0, X7), X5, X6, X7, bottom) | check_cpq(triple(insert_pqp(X0, X7), X5, X6)) | ~check_cpq(insert_cpq(triple(X0, X5, X6), X7)), inference(superposition, [status(thm)], [c106, c167])).
23.20/3.37	cnf(c6, plain, ~check_cpq(triple(X0, X1, X2)) | ~pair_in_list(X1, X3, X4) | less_than(X4, X3), inference(cnf_transformation, [status(thm)], [c2])).
23.20/3.37	cnf(c223, plain, pair_in_list(sk_l26_co_1, sk_l26_li4142_0(sk_l26_co_0, sk_l26_co_1, sk_l26_co_2), sk_l26_li4142_1(sk_l26_co_0, sk_l26_co_1, sk_l26_co_2)), inference(resolution, [status(thm)], [c222, c4])).
23.20/3.37	cnf(c198, plain, check_cpq(insert_cpq(triple(sk_l26_co_0, sk_l26_co_1, sk_l26_co_2), sk_l26_co_3)), inference(cnf_transformation, [status(thm)], [c196])).
23.20/3.37	cnf(c65081, plain, check_cpq(triple(insert_pqp(X0, X7), X5, X6)) | ~check_cpq(insert_cpq(triple(X0, X5, X6), X7)), inference(subsumption_resolution, [status(thm)], [c3949, c453])).
23.20/3.37	cnf(c4751, plain, ~check_cpq(triple(X0, sk_l26_co_1, X2)), inference(resolution, [status(thm)], [c223, c6])).
23.20/3.37	cnf(c65082, plain, check_cpq(triple(insert_pqp(sk_l26_co_0, sk_l26_co_3), sk_l26_co_1, sk_l26_co_2)), inference(resolution, [status(thm)], [c65081, c198])).
23.20/3.37	cnf(c65121, plain, $false, inference(resolution, [status(thm)], [c65082, c4751])).
23.20/3.37	% SZS output end Proof for theBenchmark
23.20/3.37	% ------------------------------
23.20/3.37	% Version: mrs 0.2.0
23.20/3.37	% Termination reason: Refutation
23.20/3.37	% Time elapsed: 3.000 s
23.20/3.37	% Peak memory usage: 2122 MB
23.20/3.37	% ------------------------------
23.20/3.37	% SZS detail strategies=8 result=Refutation processed=5977 generated=117291
23.20/3.39	EOF