0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180 0.08/0.35 % Computer : n028.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 09:42:16 UTC 2026 0.11/0.36 % CPUTime : 0.11/0.36 Running run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180 0.11/0.37 % Resolved 1 include directive(s) 0.11/0.37 % Problem: theBenchmark (109 axioms, 1 conjectures, 0 cnf clauses) 0.11/0.38 % Auto schedule: chose portfolio 'casc_feq' 0.11/0.40 % SZS status Theorem for theBenchmark 0.11/0.40 % SZS output start Proof for theBenchmark 0.11/0.40 fof(c570, conjecture, ![X0]: (![X1]: (![X2]: (![X3]: (((~(X2 = s(X0, X3)) | X3 = X1) | ~(s(X0, X1) = X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_8)). 0.11/0.40 fof(c571, axiom, ![X0]: (![X1]: (X1 = s(X0, s(X0, X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_7)). 0.11/0.40 fof(c572, negated_conjecture, ~(![X0]: (![X1]: (![X2]: (![X3]: (((~(X2 = s(X0, X3)) | X3 = X1) | ~(s(X0, X1) = X2))))))), inference(negated_conjecture, [status(cth)], [c570])). 0.11/0.40 fof(c486, conjecture, ![X0]: (![X1]: (![X2]: (![X3]: (((~(X2 = s(X0, X3)) | X3 = X1) | ~(s(X0, X1) = X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_8)). 0.11/0.40 fof(c573, plain, ![X0]: (![X1]: (X1 = s(X0, s(X0, X1)))), inference(fof_nnf_transformation, [status(thm)], [c571])). 0.11/0.40 fof(c574, plain, ?[X0]: (?[X1]: (?[X2]: (?[X3]: (((X2 = s(X0, X3) & ~(X3 = X1)) & s(X0, X1) = X2))))), inference(fof_nnf_transformation, [status(thm)], [c572])). 0.11/0.40 fof(c487, negated_conjecture, ~(![X0]: (![X1]: (![X2]: (![X3]: (((~(X2 = s(X0, X3)) | X3 = X1) | ~(s(X0, X1) = X2))))))), inference(negated_conjecture, [status(cth)], [c486])). 0.11/0.40 fof(c575, plain, ![X0]: (![X1]: (X1 = s(X0, s(X0, X1)))), inference(skolemisation, [status(esa)], [c573])). 0.11/0.40 fof(c576, plain, (s(sk_aSatz7_8_0, sk_aSatz7_8_1) = sk_aSatz7_8_2 & (sk_aSatz7_8_2 = s(sk_aSatz7_8_0, sk_aSatz7_8_3) & ~(sk_aSatz7_8_3 = sk_aSatz7_8_1))), inference(skolemisation, [status(esa)], [c574])). 0.11/0.40 fof(c488, plain, ?[X0]: (?[X1]: (?[X2]: (?[X3]: (((X2 = s(X0, X3) & ~(X3 = X1)) & s(X0, X1) = X2))))), inference(fof_nnf_transformation, [status(thm)], [c487])). 0.11/0.40 cnf(c577, plain, s(sk_aSatz7_8_0, sk_aSatz7_8_1) = sk_aSatz7_8_2, inference(cnf_transformation, [status(thm)], [c576])). 0.11/0.40 cnf(c578, plain, X1 = s(X0, s(X0, X1)), inference(cnf_transformation, [status(thm)], [c575])). 0.11/0.40 cnf(c579, plain, sk_aSatz7_8_2 = s(sk_aSatz7_8_0, sk_aSatz7_8_3), inference(cnf_transformation, [status(thm)], [c576])). 0.11/0.40 fof(c489, plain, (s(sk_aSatz7_8_0, sk_aSatz7_8_1) = sk_aSatz7_8_2 & (sk_aSatz7_8_2 = s(sk_aSatz7_8_0, sk_aSatz7_8_3) & ~(sk_aSatz7_8_3 = sk_aSatz7_8_1))), inference(skolemisation, [status(esa)], [c488])). 0.11/0.40 cnf(c580, plain, sk_aSatz7_8_1 = s(sk_aSatz7_8_0, sk_aSatz7_8_2), inference(superposition, [status(thm)], [c577, c578])). 0.11/0.40 cnf(c581, plain, sk_aSatz7_8_3 = s(sk_aSatz7_8_0, sk_aSatz7_8_2), inference(superposition, [status(thm)], [c579, c578])). 0.11/0.40 cnf(c492, plain, sk_aSatz7_8_3 != sk_aSatz7_8_1, inference(cnf_transformation, [status(thm)], [c489])). 0.11/0.40 cnf(c582, plain, sk_aSatz7_8_3 = sk_aSatz7_8_1, inference(demodulation, [status(thm)], [c581, c580])). 0.11/0.40 cnf(c645, plain, $false, inference(subsumption_resolution, [status(thm)], [c582, c492])). 0.11/0.40 % SZS output end Proof for theBenchmark 0.11/0.40 % ------------------------------ 0.11/0.40 % Version: mrs 0.2.0 0.11/0.40 % Termination reason: Refutation 0.11/0.40 % Time elapsed: 0.032 s 0.11/0.40 % Peak memory usage: 2122 MB 0.11/0.40 % ------------------------------ 0.11/0.40 % SZS detail strategies=8 result=Refutation processed=35 generated=44 0.11/0.41 EOF