0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.09/0.43	% Computer : n027.cluster.edu
0.09/0.43	% Model    : x86_64 x86_64
0.09/0.43	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.43	% Memory   : 8046.5625MB
0.09/0.43	% OS       : Linux 6.8.0-71-generic
0.09/0.43	% CPULimit : 1440
0.09/0.43	% WCLimit  : 180
0.09/0.43	% DateTime : Mon Jul 27 09:12:02 UTC 2026
0.09/0.43	% CPUTime  : 
0.09/0.43	Running run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.09/0.45	% Resolved 3 include directive(s)
0.09/0.45	% Problem: theBenchmark (27 axioms, 1 conjectures, 0 cnf clauses)
0.09/0.45	% Auto schedule: chose portfolio 'casc_feq'
2.03/0.73	% SZS status Theorem for theBenchmark
2.03/0.73	% SZS output start Proof for theBenchmark
2.03/0.73	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)).
2.03/0.73	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])).
2.03/0.73	fof(c236, conjecture, ![X0]: (![X1]: (~(ordered_by(X0, X1, X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theorem_4_4)).
2.03/0.73	cnf(c131, plain, ~def_between_c_defn_0(X0, X1, X2, X3) | X3 != X1, inference(cnf_transformation, [status(thm)], [c125, c126])).
2.03/0.73	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])])).
2.03/0.73	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])).
2.03/0.73	fof(c221, axiom, ![X0]: (![X1]: (![X2]: (![X3]: ((between_o(X3, X0, X1, X2) <=> ?[X4]: ((between_c(X4, X0, X1, X2) & ![X5]: ((incident_o(X5, X3) <=> incident_c(X5, X4)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', o3)).
2.03/0.73	fof(c237, negated_conjecture, ~(![X0]: (![X1]: (~(ordered_by(X0, X1, X1))))), inference(negated_conjecture, [status(cth)], [c236])).
2.03/0.73	fof(c178, axiom, ![X0]: (![X1]: (![X2]: (![X3]: ((((ordered_by(X0, X2, X3) & ordered_by(X0, X1, X2)) | (ordered_by(X0, X2, X1) & ordered_by(X0, X3, X2))) <=> between_o(X0, X1, X2, X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', between_o_defn)).
2.03/0.73	cnf(c253, plain, ~def_between_c_defn_0(X0, X1, X2, X1), inference(equality_resolution, [status(thm)], [c131])).
2.03/0.73	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])).
2.03/0.73	fof(c222, plain, ![X0]: (![X1]: (![X2]: (![X3]: (((~(between_o(X3, X0, X1, X2)) | ?[X4]: ((between_c(X4, X0, X1, X2) & ![X5]: (((~(incident_o(X5, X3)) | incident_c(X5, X4)) & (incident_o(X5, X3) | ~(incident_c(X5, X4)))))))) & (between_o(X3, X0, X1, X2) | ![X4]: ((~(between_c(X4, X0, X1, X2)) | ?[X5]: (((incident_o(X5, X3) & ~(incident_c(X5, X4))) | (~(incident_o(X5, X3)) & incident_c(X5, X4)))))))))))), inference(fof_nnf_transformation, [status(thm)], [c221])).
2.03/0.73	fof(c238, plain, ?[X0]: (?[X1]: (ordered_by(X0, X1, X1))), inference(fof_nnf_transformation, [status(thm)], [c237])).
2.03/0.73	fof(c179, plain, ![X0]: (![X1]: (![X2]: (![X3]: (((((~(ordered_by(X0, X2, X3)) | ~(ordered_by(X0, X1, X2))) & (~(ordered_by(X0, X2, X1)) | ~(ordered_by(X0, X3, X2)))) | between_o(X0, X1, X2, X3)) & (((ordered_by(X0, X2, X3) & ordered_by(X0, X1, X2)) | (ordered_by(X0, X2, X1) & ordered_by(X0, X3, X2))) | ~(between_o(X0, X1, X2, X3)))))))), inference(fof_nnf_transformation, [status(thm)], [c178])).
2.03/0.73	cnf(c7303, plain, ~between_c(X4, X5, X6, X5), inference(resolution, [status(thm)], [c132, c253])).
2.03/0.73	cnf(c227, plain, ~def_o3_0(X0, X1, X2, X3, X5) | between_c(sk_o3_0(X0, X1, X2, X3), X0, X1, X2), inference(cnf_transformation, [status(thm)], [c223, c224])).
2.03/0.73	fof(c224, definition, ![X0]: (![X1]: (![X2]: (![X3]: (![X5]: ((def_o3_0(X0, X1, X2, X3, X5) <=> (between_c(sk_o3_0(X0, X1, X2, X3), X0, X1, X2) & (~(incident_o(X5, X3)) | incident_c(X5, sk_o3_0(X0, X1, X2, X3))) & (incident_o(X5, X3) | ~(incident_c(X5, sk_o3_0(X0, X1, X2, X3))))))))))), introduced(definition, [new_symbols(definition, [def_o3_0])])).
2.03/0.73	fof(c223, plain, (![X0]: (![X1]: (![X2]: (![X3]: ((~(between_o(X3, X0, X1, X2)) | (between_c(sk_o3_0(X0, X1, X2, X3), X0, X1, X2) & (![X5]: ((~(incident_o(X5, X3)) | incident_c(X5, sk_o3_0(X0, X1, X2, X3)))) & ![X5]: ((incident_o(X5, X3) | ~(incident_c(X5, sk_o3_0(X0, X1, X2, X3)))))))))))) & ![X0]: (![X1]: (![X2]: (![X3]: ((between_o(X3, X0, X1, X2) | ![X4]: ((~(between_c(X4, X0, X1, X2)) | ((incident_o(sk_o3_1(X0, X1, X2, X3, X4), X3) & ~(incident_c(sk_o3_1(X0, X1, X2, X3, X4), X4))) | (~(incident_o(sk_o3_2(X0, X1, X2, X3, X4), X3)) & incident_c(sk_o3_2(X0, X1, X2, X3, X4), X4))))))))))), inference(skolemisation, [status(esa)], [c222])).
2.03/0.73	fof(c239, plain, ordered_by(sk_theorem_4_4_0, sk_theorem_4_4_1, sk_theorem_4_4_1), inference(skolemisation, [status(esa)], [c238])).
2.03/0.73	cnf(c184, plain, ~def_between_o_defn_0(X0, X1, X2, X3) | ~ordered_by(X0, X2, X3) | ~ordered_by(X0, X1, X2), inference(cnf_transformation, [status(thm)], [c180, c181])).
2.03/0.73	fof(c181, definition, ![X0]: (![X1]: (![X2]: (![X3]: ((def_between_o_defn_0(X0, X1, X2, X3) <=> ((~(ordered_by(X0, X2, X3)) | ~(ordered_by(X0, X1, X2))) & (~(ordered_by(X0, X2, X1)) | ~(ordered_by(X0, X3, X2))))))))), introduced(definition, [new_symbols(definition, [def_between_o_defn_0])])).
2.03/0.73	fof(c180, plain, (![X0]: (![X1]: (![X2]: (![X3]: ((((~(ordered_by(X0, X2, X3)) | ~(ordered_by(X0, X1, X2))) & (~(ordered_by(X0, X2, X1)) | ~(ordered_by(X0, X3, X2)))) | between_o(X0, X1, X2, X3)))))) & ![X0]: (![X1]: (![X2]: (![X3]: ((((ordered_by(X0, X2, X3) & ordered_by(X0, X1, X2)) | (ordered_by(X0, X2, X1) & ordered_by(X0, X3, X2))) | ~(between_o(X0, X1, X2, X3)))))))), inference(skolemisation, [status(esa)], [c179])).
2.03/0.73	cnf(c11514, plain, ~def_o3_0(X11, X12, X11, X3, X5), inference(resolution, [status(thm)], [c227, c7303])).
2.03/0.73	cnf(c234, plain, ~between_o(X3, X0, X1, X2) | def_o3_0(X0, X1, X2, X3, X5), inference(cnf_transformation, [status(thm)], [c223, c224])).
2.03/0.73	cnf(c240, plain, ordered_by(sk_theorem_4_4_0, sk_theorem_4_4_1, sk_theorem_4_4_1), inference(cnf_transformation, [status(thm)], [c239])).
2.03/0.73	cnf(c9098, plain, ~def_between_o_defn_0(X0, X1, X1, X1) | ~ordered_by(X0, X1, X1), inference(factoring, [status(thm)], [c184])).
2.03/0.73	cnf(c190, plain, def_between_o_defn_0(X0, X1, X2, X3) | between_o(X0, X1, X2, X3), inference(cnf_transformation, [status(thm)], [c180, c181])).
2.03/0.73	cnf(c14217, plain, ~between_o(X9, X17, X18, X17), inference(resolution, [status(thm)], [c234, c11514])).
2.03/0.73	cnf(c10639, plain, ~def_between_o_defn_0(sk_theorem_4_4_0, sk_theorem_4_4_1, sk_theorem_4_4_1, sk_theorem_4_4_1), inference(resolution, [status(thm)], [c9098, c240])).
2.03/0.73	cnf(c14218, plain, def_between_o_defn_0(X19, X22, X21, X22), inference(resolution, [status(thm)], [c14217, c190])).
2.03/0.73	cnf(c14222, plain, $false, inference(resolution, [status(thm)], [c14218, c10639])).
2.03/0.73	% SZS output end Proof for theBenchmark
2.03/0.73	% ------------------------------
2.03/0.73	% Version: mrs 0.2.0
2.03/0.73	% Termination reason: Refutation
2.03/0.73	% Time elapsed: 0.283 s
2.03/0.73	% Peak memory usage: 2122 MB
2.03/0.73	% ------------------------------
2.03/0.73	% SZS detail strategies=8 result=Refutation processed=4632 generated=29134
2.03/0.74	EOF