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 0.08/0.36 % Computer : n002.cluster.edu 0.08/0.36 % Model : x86_64 x86_64 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.36 % Memory : 8046.5625MB 0.08/0.36 % OS : Linux 6.8.0-71-generic 0.08/0.36 % CPULimit : 1440 0.08/0.36 % WCLimit : 180 0.08/0.36 % DateTime : Mon Jul 27 09:01:13 UTC 2026 0.08/0.36 % CPUTime : 0.08/0.36 Running run_mrs /export/starexec/sandbox2/benchmark/theBenchmark.p 180 0.08/0.37 % Resolved 2 include directive(s) 0.08/0.37 % Problem: theBenchmark (56 axioms, 1 conjectures, 0 cnf clauses) 0.08/0.38 % Auto schedule: chose portfolio 'casc_feq' 0.83/0.60 % SZS status Theorem for theBenchmark 0.83/0.60 % SZS output start Proof for theBenchmark 0.83/0.60 fof(c262, conjecture, ~(?[X0]: (?[X1]: (?[X2]: ((((((less(v300, X1) & in_lopen(X2, v0, v32)) & leq(v16, X2)) & in_open(X1, v0, v500)) & in_closed(X0, v601, v601)) & in_closed(X0, v600, v600)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', odrl411)). 0.83/0.60 fof(c263, negated_conjecture, ~(~(?[X0]: (?[X1]: (?[X2]: ((((((less(v300, X1) & in_lopen(X2, v0, v32)) & leq(v16, X2)) & in_open(X1, v0, v500)) & in_closed(X0, v601, v601)) & in_closed(X0, v600, v600))))))), inference(negated_conjecture, [status(cth)], [c262])). 0.83/0.60 fof(c12, axiom, less(v600, v601), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ord_v600_v601)). 0.83/0.60 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)). 0.83/0.60 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)). 0.83/0.60 fof(c264, plain, ?[X0]: (?[X1]: (?[X2]: ((((((less(v300, X1) & in_lopen(X2, v0, v32)) & leq(v16, X2)) & in_open(X1, v0, v500)) & in_closed(X0, v601, v601)) & in_closed(X0, v600, v600))))), inference(fof_nnf_transformation, [status(thm)], [c263])). 0.83/0.60 fof(c13, plain, less(v600, v601), inference(fof_nnf_transformation, [status(thm)], [c12])). 0.83/0.60 fof(c117, plain, ![X0]: (![X1]: (![X2]: (((~(less(X0, X1)) | ~(leq(X1, X2))) | less(X0, X2))))), inference(fof_nnf_transformation, [status(thm)], [c116])). 0.83/0.60 fof(c128, axiom, ![X0]: (![X1]: ((leq(X0, X1) <=> (less(X0, X1) | X0 = X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', leq_def)). 0.83/0.60 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])). 0.83/0.60 fof(c265, plain, (in_closed(sk_odrl411_0, v600, v600) & ((((less(v300, sk_odrl411_1) & in_lopen(sk_odrl411_2, v0, v32)) & leq(v16, sk_odrl411_2)) & in_open(sk_odrl411_1, v0, v500)) & in_closed(sk_odrl411_0, v601, v601))), inference(skolemisation, [status(esa)], [c264])). 0.83/0.60 cnf(c271, plain, in_closed(sk_odrl411_0, v601, v601), inference(cnf_transformation, [status(thm)], [c265])). 0.83/0.60 fof(c14, plain, less(v600, v601), inference(skolemisation, [status(esa)], [c13])). 0.83/0.60 fof(c118, plain, ![X0]: (![X1]: (![X2]: (((~(less(X0, X1)) | ~(leq(X1, X2))) | less(X0, X2))))), inference(skolemisation, [status(esa)], [c117])). 0.83/0.60 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])). 0.83/0.60 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])])). 0.83/0.60 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])). 0.83/0.60 cnf(c266, plain, in_closed(sk_odrl411_0, v600, v600), inference(cnf_transformation, [status(thm)], [c265])). 0.83/0.60 cnf(c222, plain, def_in_closed_0(X0, X1, X2) | ~in_closed(X0, X1, X2), inference(cnf_transformation, [status(thm)], [c217, c218])). 0.83/0.60 fof(c148, axiom, ![X0]: (~(less(X0, X0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', irreflexive)). 0.83/0.60 cnf(c220, plain, ~def_in_closed_0(X0, X1, X2) | leq(X1, X0), inference(cnf_transformation, [status(thm)], [c217, c218])). 0.83/0.60 cnf(c3166, plain, def_in_closed_0(sk_odrl411_0, v601, v601), inference(resolution, [status(thm)], [c222, c271])). 0.83/0.60 cnf(c15, plain, less(v600, v601), inference(cnf_transformation, [status(thm)], [c14])). 0.83/0.60 cnf(c119, plain, ~less(X0, X1) | ~leq(X1, X2) | less(X0, X2), inference(cnf_transformation, [status(thm)], [c118])). 0.83/0.60 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])). 0.83/0.60 cnf(c219, plain, ~def_in_closed_0(X0, X1, X2) | leq(X0, X2), inference(cnf_transformation, [status(thm)], [c217, c218])). 0.83/0.60 cnf(c3165, plain, def_in_closed_0(sk_odrl411_0, v600, v600), inference(resolution, [status(thm)], [c222, c266])). 0.83/0.60 fof(c149, plain, ![X0]: (~(less(X0, X0))), inference(fof_nnf_transformation, [status(thm)], [c148])). 0.83/0.60 cnf(c3170, plain, leq(v601, sk_odrl411_0), inference(resolution, [status(thm)], [c3166, c220])). 0.83/0.60 cnf(c277, plain, ~leq(v601, X2) | less(v600, X2), inference(resolution, [status(thm)], [c119, c15])). 0.83/0.60 cnf(c134, plain, ~leq(X0, X1) | less(X0, X1) | X0 = X1, inference(cnf_transformation, [status(thm)], [c130])). 0.83/0.60 cnf(c3167, plain, leq(sk_odrl411_0, v600), inference(resolution, [status(thm)], [c3165, c219])). 0.83/0.60 fof(c150, plain, ![X0]: (~(less(X0, X0))), inference(skolemisation, [status(esa)], [c149])). 0.83/0.60 cnf(c3997, plain, less(v600, sk_odrl411_0), inference(resolution, [status(thm)], [c277, c3170])). 0.83/0.60 cnf(c3183, plain, sk_odrl411_0 = v600, inference(resolution, [status(thm)], [c3167, c134])). 0.83/0.60 cnf(c151, plain, ~less(X0, X0), inference(cnf_transformation, [status(thm)], [c150])). 0.83/0.60 cnf(c4016, plain, less(sk_odrl411_0, sk_odrl411_0), inference(superposition, [status(thm)], [c3183, c3997])). 0.83/0.60 cnf(c5602, plain, $false, inference(subsumption_resolution, [status(thm)], [c4016, c151])). 0.83/0.60 % SZS output end Proof for theBenchmark 0.83/0.60 % ------------------------------ 0.83/0.60 % Version: mrs 0.2.0 0.83/0.60 % Termination reason: Refutation 0.83/0.60 % Time elapsed: 0.224 s 0.83/0.60 % Peak memory usage: 2122 MB 0.83/0.60 % ------------------------------ 0.83/0.60 % SZS detail strategies=8 result=Refutation processed=3650 generated=20998 0.83/0.60 EOF