%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:20:00 AM UTC 2026 % Result : Theorem 0.31s 0.57s % Output : Refutation 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.10/0.36 % Computer : n026.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 14:20:57 UTC 2026 % 0.10/0.36 % CPUTime : % 0.31/0.57 % 0.31/0.57 SPASS V 3.9 % 0.31/0.57 SPASS beiseite: Proof found. % 0.31/0.57 % SZS status Theorem % 0.31/0.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.31/0.57 SPASS derived 300 clauses, backtracked 0 clauses, performed 0 splits and kept 204 clauses. % 0.31/0.57 SPASS allocated 98031 KBytes. % 0.31/0.57 SPASS spent 0:00:00.19 on the problem. % 0.31/0.57 0:00:00.06 for the input. % 0.31/0.57 0:00:00.06 for the FLOTTER CNF translation. % 0.31/0.57 0:00:00.00 for inferences. % 0.31/0.57 0:00:00.00 for the backtracking. % 0.31/0.57 0:00:00.02 for the reduction. % 0.31/0.57 % 0.31/0.57 % 0.31/0.57 Here is a proof with depth 2, length 11 : % 0.31/0.57 % SZS output start Refutation % 0.31/0.57 8[0:Inp] || -> less(v400,skc5)*r. % 0.31/0.57 19[0:Inp] || -> in_lopen(skc5,v0,v400)*. % 0.31/0.57 26[0:Inp] || less(u,u)* -> . % 0.31/0.57 36[0:Inp] || in_lopen(u,v,w)* -> leq(u,w). % 0.31/0.57 43[0:Inp] || leq(u,v)* -> equal(u,v) less(u,v). % 0.31/0.57 44[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 0.31/0.57 70[0:Res:19.0,36.0] || -> leq(skc5,v400)*l. % 0.31/0.57 138[0:NCh:44.2,44.1,26.0,8.0] || less(skc5,v400)*l -> . % 0.31/0.57 139[0:NCh:44.2,44.1,26.0,8.0] || equal(skc5,v400)** -> . % 0.31/0.57 361[0:Res:70.0,43.0] || -> equal(skc5,v400) less(skc5,v400)*l. % 0.31/0.57 387[0:MRR:361.0,361.1,139.0,138.0] || -> . % 0.31/0.57 % SZS output end Refutation % 0.31/0.57 Formulae used in the proof : odrl432 irreflexive in_lopen leq_def transitive % 0.31/0.57 %------------------------------------------------------------------------------