0.00/0.04	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.06	% Command  : run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.16/0.43	% Computer : n009.cluster.edu
0.16/0.43	% Model    : x86_64 x86_64
0.16/0.43	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.43	% Memory   : 8046.5625MB
0.16/0.43	% OS       : Linux 6.8.0-71-generic
0.16/0.44	% CPULimit : 1440
0.16/0.44	% WCLimit  : 180
0.16/0.44	% DateTime : Mon Jul 27 09:02:28 UTC 2026
0.16/0.44	% CPUTime  : 
0.16/0.44	Running run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.16/0.46	% Resolved 2 include directive(s)
0.16/0.46	% Problem: theBenchmark (17 axioms, 1 conjectures, 0 cnf clauses)
0.16/0.46	% Auto schedule: chose portfolio 'casc_feq'
2.78/0.88	% SZS status Theorem for theBenchmark
2.78/0.88	% SZS output start Proof for theBenchmark
2.78/0.88	fof(c123, axiom, ![X0]: (![X1]: (![X2]: (![X3]: ((between_c(X0, X1, X2, X3) <=> (?[X4]: ((((part_of(X4, X0) & end_point(X3, X4)) & inner_point(X2, X4)) & end_point(X1, X4))) & ~(X3 = X1))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', between_c_defn)).
2.78/0.88	fof(c93, axiom, ![X0]: (![X1]: (((![X2]: (![X3]: (((((part_of(X3, X1) & incident_c(X0, X2)) & incident_c(X0, X3)) & part_of(X2, X1)) => (part_of(X2, X3) | part_of(X3, X2))))) & incident_c(X0, X1)) <=> end_point(X0, X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', end_point_defn)).
2.78/0.88	fof(c108, axiom, ![X0]: (![X1]: ((![X2]: ((incident_c(X2, X1) => incident_c(X2, X0))) <=> part_of(X1, X0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', part_of_defn)).
2.78/0.88	fof(c124, plain, ![X0]: (![X1]: (![X2]: (![X3]: (((~(between_c(X0, X1, X2, X3)) | (?[X4]: ((((part_of(X4, X0) & end_point(X3, X4)) & inner_point(X2, X4)) & end_point(X1, X4))) & ~(X3 = X1))) & (between_c(X0, X1, X2, X3) | (![X4]: ((((~(part_of(X4, X0)) | ~(end_point(X3, X4))) | ~(inner_point(X2, X4))) | ~(end_point(X1, X4)))) | X3 = X1))))))), inference(fof_nnf_transformation, [status(thm)], [c123])).
2.78/0.88	fof(c134, conjecture, ![X0]: (![X1]: (![X2]: (![X3]: ((between_c(X0, X1, X2, X3) => (((((incident_c(X2, X0) & incident_c(X3, X0)) & ~(X3 = X1)) & ~(X3 = X2)) & ~(X2 = X1)) & incident_c(X1, X0))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theorem_3_8_1)).
2.78/0.88	fof(c94, plain, ![X0]: (![X1]: ((((?[X2]: (?[X3]: (((((part_of(X3, X1) & incident_c(X0, X2)) & incident_c(X0, X3)) & part_of(X2, X1)) & (~(part_of(X2, X3)) & ~(part_of(X3, X2)))))) | ~(incident_c(X0, X1))) | end_point(X0, X1)) & ((![X2]: (![X3]: (((((~(part_of(X3, X1)) | ~(incident_c(X0, X2))) | ~(incident_c(X0, X3))) | ~(part_of(X2, X1))) | (part_of(X2, X3) | part_of(X3, X2))))) & incident_c(X0, X1)) | ~(end_point(X0, X1)))))), inference(fof_nnf_transformation, [status(thm)], [c93])).
2.78/0.88	cnf(c130, plain, ~def_between_c_defn_0(X0, X1, X2, X3) | end_point(X1, sk_between_c_defn_0(X0, X1, X2, X3)), inference(cnf_transformation, [status(thm)], [c125, c126])).
2.78/0.88	fof(c109, plain, ![X0]: (![X1]: (((?[X2]: ((incident_c(X2, X1) & ~(incident_c(X2, X0)))) | part_of(X1, X0)) & (![X2]: ((~(incident_c(X2, X1)) | incident_c(X2, X0))) | ~(part_of(X1, X0)))))), inference(fof_nnf_transformation, [status(thm)], [c108])).
2.78/0.88	cnf(c138, plain, between_c(sk_theorem_3_8_1_0, sk_theorem_3_8_1_1, sk_theorem_3_8_1_2, sk_theorem_3_8_1_3), inference(cnf_transformation, [status(thm)], [c137])).
2.78/0.88	cnf(c132, plain, ~between_c(X0, X1, X2, X3) | def_between_c_defn_0(X0, X1, X2, X3), inference(cnf_transformation, [status(thm)], [c125, c126])).
2.78/0.88	fof(c126, definition, ![X0]: (![X1]: (![X2]: (![X3]: ((def_between_c_defn_0(X0, X1, X2, X3) <=> (part_of(sk_between_c_defn_0(X0, X1, X2, X3), X0) & end_point(X3, sk_between_c_defn_0(X0, X1, X2, X3)) & inner_point(X2, sk_between_c_defn_0(X0, X1, X2, X3)) & end_point(X1, sk_between_c_defn_0(X0, X1, X2, X3)) & ~(X3 = X1))))))), introduced(definition, [new_symbols(definition, [def_between_c_defn_0])])).
2.78/0.88	fof(c125, plain, (![X0]: (![X1]: (![X2]: (![X3]: ((~(between_c(X0, X1, X2, X3)) | ((((part_of(sk_between_c_defn_0(X0, X1, X2, X3), X0) & end_point(X3, sk_between_c_defn_0(X0, X1, X2, X3))) & inner_point(X2, sk_between_c_defn_0(X0, X1, X2, X3))) & end_point(X1, sk_between_c_defn_0(X0, X1, X2, X3))) & ~(X3 = X1))))))) & ![X0]: (![X1]: (![X2]: (![X3]: ((between_c(X0, X1, X2, X3) | (![X4]: ((((~(part_of(X4, X0)) | ~(end_point(X3, X4))) | ~(inner_point(X2, X4))) | ~(end_point(X1, X4)))) | X3 = X1))))))), inference(skolemisation, [status(esa)], [c124])).
2.78/0.88	fof(c135, negated_conjecture, ~(![X0]: (![X1]: (![X2]: (![X3]: ((between_c(X0, X1, X2, X3) => (((((incident_c(X2, X0) & incident_c(X3, X0)) & ~(X3 = X1)) & ~(X3 = X2)) & ~(X2 = X1)) & incident_c(X1, X0)))))))), inference(negated_conjecture, [status(cth)], [c134])).
2.78/0.88	fof(c97, definition, ![X0]: (![X1]: (![X2]: (![X3]: ((def_end_point_defn_1(X0, X1, X2, X3) <=> (((((~(part_of(X3, X1)) | ~(incident_c(X0, X2))) | ~(incident_c(X0, X3))) | ~(part_of(X2, X1))) | (part_of(X2, X3) | part_of(X3, X2))) & incident_c(X0, X1))))))), introduced(definition, [new_symbols(definition, [def_end_point_defn_1])])).
2.78/0.88	fof(c95, plain, (![X0]: (![X1]: (((((((part_of(sk_end_point_defn_1(X0, X1), X1) & incident_c(X0, sk_end_point_defn_0(X0, X1))) & incident_c(X0, sk_end_point_defn_1(X0, X1))) & part_of(sk_end_point_defn_0(X0, X1), X1)) & (~(part_of(sk_end_point_defn_0(X0, X1), sk_end_point_defn_1(X0, X1))) & ~(part_of(sk_end_point_defn_1(X0, X1), sk_end_point_defn_0(X0, X1))))) | ~(incident_c(X0, X1))) | end_point(X0, X1)))) & ![X0]: (![X1]: (((![X2]: (![X3]: (((((~(part_of(X3, X1)) | ~(incident_c(X0, X2))) | ~(incident_c(X0, X3))) | ~(part_of(X2, X1))) | (part_of(X2, X3) | part_of(X3, X2))))) & incident_c(X0, X1)) | ~(end_point(X0, X1)))))), inference(skolemisation, [status(esa)], [c94])).
2.78/0.88	cnf(c107, plain, def_end_point_defn_1(X0, X1, X2, X3) | ~end_point(X0, X1), inference(cnf_transformation, [status(thm)], [c95, c97])).
2.78/0.88	cnf(c2684, plain, end_point(sk_theorem_3_8_1_1, sk_between_c_defn_0(sk_theorem_3_8_1_0, sk_theorem_3_8_1_1, sk_theorem_3_8_1_2, sk_theorem_3_8_1_3)), inference(resolution, [status(thm)], [c130, c283])).
2.78/0.88	fof(c110, plain, (![X0]: (![X1]: (((incident_c(sk_part_of_defn_0(X0, X1), X1) & ~(incident_c(sk_part_of_defn_0(X0, X1), X0))) | part_of(X1, X0)))) & ![X0]: (![X1]: ((![X2]: ((~(incident_c(X2, X1)) | incident_c(X2, X0))) | ~(part_of(X1, X0)))))), inference(skolemisation, [status(esa)], [c109])).
2.78/0.88	cnf(c283, plain, def_between_c_defn_0(sk_theorem_3_8_1_0, sk_theorem_3_8_1_1, sk_theorem_3_8_1_2, sk_theorem_3_8_1_3), inference(resolution, [status(thm)], [c132, c138])).
2.78/0.88	cnf(c127, plain, ~def_between_c_defn_0(X0, X1, X2, X3) | part_of(sk_between_c_defn_0(X0, X1, X2, X3), X0), inference(cnf_transformation, [status(thm)], [c125, c126])).
2.78/0.88	fof(c136, plain, ?[X0]: (?[X1]: (?[X2]: (?[X3]: ((between_c(X0, X1, X2, X3) & (((((~(incident_c(X2, X0)) | ~(incident_c(X3, X0))) | X3 = X1) | X3 = X2) | X2 = X1) | ~(incident_c(X1, X0)))))))), inference(fof_nnf_transformation, [status(thm)], [c135])).
2.78/0.88	cnf(c105, plain, ~def_end_point_defn_1(X0, X1, X2, X3) | incident_c(X0, X1), inference(cnf_transformation, [status(thm)], [c95, c97])).
2.78/0.88	cnf(c3060, plain, def_end_point_defn_1(sk_theorem_3_8_1_1, sk_between_c_defn_0(sk_theorem_3_8_1_0, sk_theorem_3_8_1_1, sk_theorem_3_8_1_2, sk_theorem_3_8_1_3), X2, X3), inference(resolution, [status(thm)], [c2684, c107])).
2.78/0.88	cnf(c115, plain, ~incident_c(X2, X1) | incident_c(X2, X0) | ~part_of(X1, X0), inference(cnf_transformation, [status(thm)], [c110])).
2.78/0.88	cnf(c2478, plain, part_of(sk_between_c_defn_0(sk_theorem_3_8_1_0, sk_theorem_3_8_1_1, sk_theorem_3_8_1_2, sk_theorem_3_8_1_3), sk_theorem_3_8_1_0), inference(resolution, [status(thm)], [c127, c283])).
2.78/0.88	fof(c137, plain, (between_c(sk_theorem_3_8_1_0, sk_theorem_3_8_1_1, sk_theorem_3_8_1_2, sk_theorem_3_8_1_3) & (((((~(incident_c(sk_theorem_3_8_1_2, sk_theorem_3_8_1_0)) | ~(incident_c(sk_theorem_3_8_1_3, sk_theorem_3_8_1_0))) | sk_theorem_3_8_1_3 = sk_theorem_3_8_1_1) | sk_theorem_3_8_1_3 = sk_theorem_3_8_1_2) | sk_theorem_3_8_1_2 = sk_theorem_3_8_1_1) | ~(incident_c(sk_theorem_3_8_1_1, sk_theorem_3_8_1_0)))), inference(skolemisation, [status(esa)], [c136])).
2.78/0.88	cnf(c6722, plain, incident_c(sk_theorem_3_8_1_1, sk_between_c_defn_0(sk_theorem_3_8_1_0, sk_theorem_3_8_1_1, sk_theorem_3_8_1_2, sk_theorem_3_8_1_3)), inference(resolution, [status(thm)], [c3060, c105])).
2.78/0.88	cnf(c2486, plain, ~incident_c(X2, sk_between_c_defn_0(sk_theorem_3_8_1_0, sk_theorem_3_8_1_1, sk_theorem_3_8_1_2, sk_theorem_3_8_1_3)) | incident_c(X2, sk_theorem_3_8_1_0), inference(resolution, [status(thm)], [c2478, c115])).
2.78/0.88	cnf(c145, plain, ~incident_c(sk_theorem_3_8_1_1, sk_theorem_3_8_1_0), inference(cnf_transformation, [status(thm)], [c137])).
2.78/0.88	cnf(c8852, plain, incident_c(sk_theorem_3_8_1_1, sk_theorem_3_8_1_0), inference(resolution, [status(thm)], [c2486, c6722])).
2.78/0.88	cnf(c9137, plain, $false, inference(resolution, [status(thm)], [c8852, c145])).
2.78/0.88	% SZS output end Proof for theBenchmark
2.78/0.88	% ------------------------------
2.78/0.88	% Version: mrs 0.2.0
2.78/0.88	% Termination reason: Refutation
2.78/0.88	% Time elapsed: 0.426 s
2.78/0.88	% Peak memory usage: 2122 MB
2.78/0.88	% ------------------------------
2.78/0.88	% SZS detail strategies=8 result=Refutation processed=3353 generated=24487
2.78/0.89	EOF