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 0.12/0.35 % Computer : n003.cluster.edu 0.12/0.35 % Model : x86_64 x86_64 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.35 % Memory : 8046.5625MB 0.12/0.35 % OS : Linux 6.8.0-71-generic 0.12/0.35 % CPULimit : 1440 0.12/0.35 % WCLimit : 180 0.12/0.35 % DateTime : Mon Jul 27 09:27:08 UTC 2026 0.12/0.35 % CPUTime : 0.12/0.35 Running run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180 0.14/0.37 % Resolved 2 include directive(s) 0.14/0.37 % Problem: theBenchmark (56 axioms, 1 conjectures, 0 cnf clauses) 0.14/0.37 % Auto schedule: chose portfolio 'casc_feq' 101.62/15.10 % SZS status Theorem for theBenchmark 101.62/15.10 % SZS output start Proof for theBenchmark 101.62/15.10 fof(c4, axiom, less(v400, v600), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ord_v400_v600)). 101.62/15.10 cnf(c221, plain, ~leq(X0, X2) | ~leq(X1, X0) | in_closed(X0, X1, X2), inference(cnf_transformation, [status(thm)], [c217])). 101.62/15.10 fof(c5, plain, less(v400, v600), inference(fof_nnf_transformation, [status(thm)], [c4])). 101.62/15.10 fof(c76, axiom, less(v32, v400), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ord_v32_v400)). 101.62/15.10 fof(c215, axiom, ![X0]: (![X1]: (![X2]: (((leq(X0, X2) & leq(X1, X0)) <=> in_closed(X0, X1, X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', in_closed)). 101.62/15.10 cnf(c923, plain, ~leq(X1, X1) | in_closed(X1, X1, X1), inference(factoring, [status(thm)], [c221])). 101.62/15.10 fof(c32, axiom, less(v0, v400), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ord_v0_v400)). 101.62/15.10 fof(c6, plain, less(v400, v600), inference(skolemisation, [status(esa)], [c5])). 101.62/15.10 fof(c116, axiom, ![X0]: (![X1]: (![X2]: (((less(X0, X1) & leq(X1, X2)) => less(X0, X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', less_leq_trans)). 101.62/15.10 fof(c77, plain, less(v32, v400), inference(fof_nnf_transformation, [status(thm)], [c76])). 101.62/15.10 fof(c216, plain, ![X0]: (![X1]: (![X2]: ((((~(leq(X0, X2)) | ~(leq(X1, X0))) | in_closed(X0, X1, X2)) & ((leq(X0, X2) & leq(X1, X0)) | ~(in_closed(X0, X1, X2))))))), inference(fof_nnf_transformation, [status(thm)], [c215])). 101.62/15.10 cnf(c271, plain, ~def_leq_def_0(X1, X1), inference(equality_resolution, [status(thm)], [c133])). 101.62/15.10 cnf(c924, plain, in_closed(X3, X3, X3) | def_leq_def_0(X3, X3), inference(resolution, [status(thm)], [c923, c135])). 101.62/15.10 fof(c33, plain, less(v0, v400), inference(fof_nnf_transformation, [status(thm)], [c32])). 101.62/15.10 cnf(c7, plain, less(v400, v600), inference(cnf_transformation, [status(thm)], [c6])). 101.62/15.10 fof(c117, plain, ![X0]: (![X1]: (![X2]: (((~(less(X0, X1)) | ~(leq(X1, X2))) | less(X0, X2))))), inference(fof_nnf_transformation, [status(thm)], [c116])). 101.62/15.10 fof(c48, axiom, less(v0, v32), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ord_v0_v32)). 101.62/15.10 fof(c78, plain, less(v32, v400), inference(skolemisation, [status(esa)], [c77])). 101.62/15.10 fof(c218, definition, ![X0]: (![X1]: (![X2]: ((def_in_closed_0(X0, X1, X2) <=> (leq(X0, X2) & leq(X1, X0)))))), introduced(definition, [new_symbols(definition, [def_in_closed_0])])). 101.62/15.10 fof(c217, plain, (![X0]: (![X1]: (![X2]: (((~(leq(X0, X2)) | ~(leq(X1, X0))) | in_closed(X0, X1, X2))))) & ![X0]: (![X1]: (![X2]: (((leq(X0, X2) & leq(X1, X0)) | ~(in_closed(X0, X1, X2))))))), inference(skolemisation, [status(esa)], [c216])). 101.62/15.10 cnf(c222, plain, def_in_closed_0(X0, X1, X2) | ~in_closed(X0, X1, X2), inference(cnf_transformation, [status(thm)], [c217, c218])). 101.62/15.10 cnf(c13256, plain, in_closed(X3, X3, X3), inference(subsumption_resolution, [status(thm)], [c924, c271])). 101.62/15.10 fof(c34, plain, less(v0, v400), inference(skolemisation, [status(esa)], [c33])). 101.62/15.10 cnf(c428, plain, leq(v400, v600), inference(resolution, [status(thm)], [c155, c7])). 101.62/15.10 fof(c148, axiom, ![X0]: (~(less(X0, X0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', irreflexive)). 101.62/15.10 fof(c118, plain, ![X0]: (![X1]: (![X2]: (((~(less(X0, X1)) | ~(leq(X1, X2))) | less(X0, X2))))), inference(skolemisation, [status(esa)], [c117])). 101.62/15.10 fof(c24, axiom, less(v16, v32), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ord_v16_v32)). 101.62/15.10 fof(c152, axiom, ![X0]: (![X1]: ((less(X0, X1) => leq(X0, X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', less_implies_leq)). 101.62/15.10 fof(c262, conjecture, ?[X0]: (?[X1]: (?[X2]: ((((~(((in_lopen(X2, v0, v16) & in_lopen(X1, v0, v800)) & in_lopen(X0, v0, v1200))) & in_lopen(X2, v0, v32)) & in_lopen(X1, v0, v400)) & in_lopen(X0, v0, v600))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', odrl350)). 101.62/15.10 fof(c49, plain, less(v0, v32), inference(fof_nnf_transformation, [status(thm)], [c48])). 101.62/15.10 cnf(c79, plain, less(v32, v400), inference(cnf_transformation, [status(thm)], [c78])). 101.62/15.10 cnf(c219, plain, ~def_in_closed_0(X0, X1, X2) | leq(X0, X2), inference(cnf_transformation, [status(thm)], [c217, c218])). 101.62/15.10 cnf(c13258, plain, def_in_closed_0(X6, X6, X6), inference(resolution, [status(thm)], [c13256, c222])). 101.62/15.10 cnf(c35, plain, less(v0, v400), inference(cnf_transformation, [status(thm)], [c34])). 101.62/15.10 cnf(c610, plain, in_lopen(v400, X1, v600) | ~less(X1, v400), inference(resolution, [status(thm)], [c186, c428])). 101.62/15.10 fof(c128, axiom, ![X0]: (![X1]: ((leq(X0, X1) <=> (less(X0, X1) | X0 = X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', leq_def)). 101.62/15.10 fof(c149, plain, ![X0]: (~(less(X0, X0))), inference(fof_nnf_transformation, [status(thm)], [c148])). 101.62/15.10 cnf(c119, plain, ~less(X0, X1) | ~leq(X1, X2) | less(X0, X2), inference(cnf_transformation, [status(thm)], [c118])). 101.62/15.10 fof(c144, axiom, ![X0]: (![X1]: (((leq(X1, X0) & leq(X0, X1)) => X1 = X0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', leq_antisym)). 101.62/15.10 fof(c25, plain, less(v16, v32), inference(fof_nnf_transformation, [status(thm)], [c24])). 101.62/15.10 fof(c153, plain, ![X0]: (![X1]: ((~(less(X0, X1)) | leq(X0, X1)))), inference(fof_nnf_transformation, [status(thm)], [c152])). 101.62/15.10 fof(c263, negated_conjecture, ~(?[X0]: (?[X1]: (?[X2]: ((((~(((in_lopen(X2, v0, v16) & in_lopen(X1, v0, v800)) & in_lopen(X0, v0, v1200))) & in_lopen(X2, v0, v32)) & in_lopen(X1, v0, v400)) & in_lopen(X0, v0, v600)))))), inference(negated_conjecture, [status(cth)], [c262])). 101.62/15.10 fof(c50, plain, less(v0, v32), inference(skolemisation, [status(esa)], [c49])). 101.62/15.10 cnf(c441, plain, leq(v32, v400), inference(resolution, [status(thm)], [c155, c79])). 101.62/15.10 cnf(c186, plain, in_lopen(X0, X1, X2) | ~leq(X0, X2) | ~less(X1, X0), inference(cnf_transformation, [status(thm)], [c181])). 101.62/15.10 cnf(c639, plain, in_lopen(v32, v0, X2) | ~leq(v32, X2), inference(resolution, [status(thm)], [c186, c51])). 101.62/15.10 cnf(c13265, plain, leq(X9, X9), inference(resolution, [status(thm)], [c13258, c219])). 101.62/15.10 cnf(c270, plain, ~in_lopen(X0, v0, v600) | def_odrl350_0(X0, X1, X2) | ~in_lopen(X2, v0, v32) | ~in_lopen(X1, v0, v400), inference(cnf_transformation, [status(thm)], [c265, c266])). 101.62/15.10 cnf(c3622, plain, in_lopen(v400, v0, v600), inference(resolution, [status(thm)], [c610, c35])). 101.62/15.10 fof(c129, plain, ![X0]: (![X1]: (((~(leq(X0, X1)) | (less(X0, X1) | X0 = X1)) & (leq(X0, X1) | (~(less(X0, X1)) & ~(X0 = X1)))))), inference(fof_nnf_transformation, [status(thm)], [c128])). 101.62/15.10 fof(c150, plain, ![X0]: (~(less(X0, X0))), inference(skolemisation, [status(esa)], [c149])). 101.62/15.10 cnf(c135, plain, leq(X0, X1) | def_leq_def_0(X0, X1), inference(cnf_transformation, [status(thm)], [c130, c131])). 101.62/15.10 cnf(c277, plain, ~leq(v32, X2) | less(v16, X2), inference(resolution, [status(thm)], [c119, c27])). 101.62/15.10 fof(c145, plain, ![X0]: (![X1]: (((~(leq(X1, X0)) | ~(leq(X0, X1))) | X1 = X0))), inference(fof_nnf_transformation, [status(thm)], [c144])). 101.62/15.10 fof(c26, plain, less(v16, v32), inference(skolemisation, [status(esa)], [c25])). 101.62/15.10 fof(c154, plain, ![X0]: (![X1]: ((~(less(X0, X1)) | leq(X0, X1)))), inference(skolemisation, [status(esa)], [c153])). 101.62/15.10 fof(c264, plain, ![X0]: (![X1]: (![X2]: ((((((in_lopen(X2, v0, v16) & in_lopen(X1, v0, v800)) & in_lopen(X0, v0, v1200)) | ~(in_lopen(X2, v0, v32))) | ~(in_lopen(X1, v0, v400))) | ~(in_lopen(X0, v0, v600)))))), inference(fof_nnf_transformation, [status(thm)], [c263])). 101.62/15.10 cnf(c51, plain, less(v0, v32), inference(cnf_transformation, [status(thm)], [c50])). 101.62/15.10 cnf(c623, plain, in_lopen(v32, X1, v400) | ~less(X1, v32), inference(resolution, [status(thm)], [c186, c441])). 101.62/15.10 cnf(c13375, plain, in_lopen(v32, v0, v32), inference(resolution, [status(thm)], [c13265, c639])). 101.62/15.10 cnf(c3630, plain, def_odrl350_0(v400, X1, X2) | ~in_lopen(X2, v0, v32) | ~in_lopen(X1, v0, v400), inference(resolution, [status(thm)], [c3622, c270])). 101.62/15.10 fof(c131, definition, ![X0]: (![X1]: ((def_leq_def_0(X0, X1) <=> (~(less(X0, X1)) & ~(X0 = X1))))), introduced(definition, [new_symbols(definition, [def_leq_def_0])])). 101.62/15.10 fof(c130, plain, (![X0]: (![X1]: ((~(leq(X0, X1)) | (less(X0, X1) | X0 = X1)))) & ![X0]: (![X1]: ((leq(X0, X1) | (~(less(X0, X1)) & ~(X0 = X1)))))), inference(skolemisation, [status(esa)], [c129])). 101.62/15.10 cnf(c151, plain, ~less(X0, X0), inference(cnf_transformation, [status(thm)], [c150])). 101.62/15.10 cnf(c737, plain, less(v16, X4) | def_leq_def_0(v32, X4), inference(resolution, [status(thm)], [c277, c135])). 101.62/15.10 fof(c146, plain, ![X0]: (![X1]: (((~(leq(X1, X0)) | ~(leq(X0, X1))) | X1 = X0))), inference(skolemisation, [status(esa)], [c145])). 101.62/15.10 cnf(c27, plain, less(v16, v32), inference(cnf_transformation, [status(thm)], [c26])). 101.62/15.10 cnf(c155, plain, ~less(X0, X1) | leq(X0, X1), inference(cnf_transformation, [status(thm)], [c154])). 101.62/15.10 fof(c179, axiom, ![X0]: (![X1]: (![X2]: ((in_lopen(X0, X1, X2) <=> (leq(X0, X2) & less(X1, X0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', in_lopen)). 101.62/15.10 fof(c266, definition, ![X0]: (![X1]: (![X2]: ((def_odrl350_0(X0, X1, X2) <=> (in_lopen(X2, v0, v16) & in_lopen(X1, v0, v800) & in_lopen(X0, v0, v1200)))))), introduced(definition, [new_symbols(definition, [def_odrl350_0])])). 101.62/15.10 fof(c265, plain, ![X0]: ((~(in_lopen(X0, v0, v600)) | ![X1]: (![X2]: (((((in_lopen(X2, v0, v16) & in_lopen(X1, v0, v800)) & in_lopen(X0, v0, v1200)) | ~(in_lopen(X2, v0, v32))) | ~(in_lopen(X1, v0, v400))))))), inference(skolemisation, [status(esa)], [c264])). 101.62/15.10 cnf(c4154, plain, in_lopen(v32, v0, v400), inference(resolution, [status(thm)], [c623, c51])). 101.62/15.10 cnf(c369279, plain, def_odrl350_0(v400, X1, v32) | ~in_lopen(X1, v0, v400), inference(resolution, [status(thm)], [c3630, c13375])). 101.62/15.10 cnf(c133, plain, ~def_leq_def_0(X0, X1) | X0 != X1, inference(cnf_transformation, [status(thm)], [c130, c131])). 101.62/15.10 cnf(c7849, plain, def_leq_def_0(v32, v16), inference(resolution, [status(thm)], [c737, c151])). 101.62/15.10 cnf(c147, plain, ~leq(X1, X0) | ~leq(X0, X1) | X1 = X0, inference(cnf_transformation, [status(thm)], [c146])). 101.62/15.10 cnf(c432, plain, leq(v16, v32), inference(resolution, [status(thm)], [c155, c27])). 101.62/15.10 fof(c180, plain, ![X0]: (![X1]: (![X2]: (((~(in_lopen(X0, X1, X2)) | (leq(X0, X2) & less(X1, X0))) & (in_lopen(X0, X1, X2) | (~(leq(X0, X2)) | ~(less(X1, X0)))))))), inference(fof_nnf_transformation, [status(thm)], [c179])). 101.62/15.10 cnf(c267, plain, ~def_odrl350_0(X0, X1, X2) | in_lopen(X2, v0, v16), inference(cnf_transformation, [status(thm)], [c265, c266])). 101.62/15.10 cnf(c396234, plain, def_odrl350_0(v400, v32, v32), inference(resolution, [status(thm)], [c369279, c4154])). 101.62/15.10 cnf(c7934, plain, v32 != v16, inference(resolution, [status(thm)], [c7849, c133])). 101.62/15.10 cnf(c493, plain, ~leq(v32, v16) | v16 = v32, inference(resolution, [status(thm)], [c432, c147])). 101.62/15.10 fof(c182, definition, ![X0]: (![X1]: (![X2]: ((def_in_lopen_0(X0, X1, X2) <=> (leq(X0, X2) & less(X1, X0)))))), introduced(definition, [new_symbols(definition, [def_in_lopen_0])])). 101.62/15.10 fof(c181, plain, (![X0]: (![X1]: (![X2]: ((~(in_lopen(X0, X1, X2)) | (leq(X0, X2) & less(X1, X0)))))) & ![X0]: (![X1]: (![X2]: ((in_lopen(X0, X1, X2) | (~(leq(X0, X2)) | ~(less(X1, X0)))))))), inference(skolemisation, [status(esa)], [c180])). 101.62/15.10 cnf(c185, plain, ~in_lopen(X0, X1, X2) | def_in_lopen_0(X0, X1, X2), inference(cnf_transformation, [status(thm)], [c181, c182])). 101.62/15.10 cnf(c396285, plain, in_lopen(v32, v0, v16), inference(resolution, [status(thm)], [c396234, c267])). 101.62/15.10 cnf(c7943, plain, ~leq(v32, v16) | v16 != v16, inference(superposition, [status(thm)], [c493, c7934])). 101.62/15.10 cnf(c183, plain, ~def_in_lopen_0(X0, X1, X2) | leq(X0, X2), inference(cnf_transformation, [status(thm)], [c181, c182])). 101.62/15.10 cnf(c398118, plain, def_in_lopen_0(v32, v0, v16), inference(resolution, [status(thm)], [c396285, c185])). 101.62/15.10 cnf(c8285, plain, ~leq(v32, v16), inference(equality_resolution, [status(thm)], [c7943])). 101.62/15.10 cnf(c400028, plain, leq(v32, v16), inference(resolution, [status(thm)], [c398118, c183])). 101.62/15.10 cnf(c400096, plain, $false, inference(subsumption_resolution, [status(thm)], [c400028, c8285])). 101.62/15.10 % SZS output end Proof for theBenchmark 101.62/15.10 % ------------------------------ 101.62/15.10 % Version: mrs 0.2.0 101.62/15.10 % Termination reason: Refutation 101.62/15.10 % Time elapsed: 14.734 s 101.62/15.10 % Peak memory usage: 4107 MB 101.62/15.10 % ------------------------------ 101.62/15.10 % SZS detail strategies=8 result=Refutation processed=17992 generated=546197 101.72/15.15 EOF