%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n001.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 06:20:01 AM UTC 2026 % Result : Theorem 0.23s 0.48s % Output : Refutation 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.09/0.36 % Computer : n001.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 14:26:37 UTC 2026 % 0.13/0.36 % CPUTime : % 0.23/0.48 % 0.23/0.48 SPASS V 3.9 % 0.23/0.48 SPASS beiseite: Proof found. % 0.23/0.48 % SZS status Theorem % 0.23/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.48 SPASS derived 382 clauses, backtracked 0 clauses, performed 0 splits and kept 243 clauses. % 0.23/0.48 SPASS allocated 98111 KBytes. % 0.23/0.48 SPASS spent 0:00:00.11 on the problem. % 0.23/0.48 0:00:00.03 for the input. % 0.23/0.48 0:00:00.03 for the FLOTTER CNF translation. % 0.23/0.48 0:00:00.00 for inferences. % 0.23/0.48 0:00:00.00 for the backtracking. % 0.23/0.48 0:00:00.01 for the reduction. % 0.23/0.48 % 0.23/0.48 % 0.23/0.48 Here is a proof with depth 2, length 9 : % 0.23/0.48 % SZS output start Refutation % 0.23/0.48 9[0:Inp] || -> less(v0,v400)*r. % 0.23/0.48 11[0:Inp] || -> less(v200,v400)*r. % 0.23/0.48 25[0:Inp] || equal(u,v)* -> leq(u,v). % 0.23/0.48 36[0:Inp] || less(v200,u) in_lopen(u,v0,v400)* -> . % 0.23/0.48 47[0:Inp] || less(u,v) leq(v,w) -> in_lopen(v,u,w)*. % 0.23/0.48 67[0:Res:11.0,36.0] || in_lopen(v400,v0,v400)* -> . % 0.23/0.48 84[0:EqR:25.0] || -> leq(u,u)*. % 0.23/0.48 466[0:Res:47.2,67.0] || less(v0,v400) leq(v400,v400)* -> . % 0.23/0.48 470[0:MRR:466.0,466.1,9.0,84.0] || -> . % 0.23/0.48 % SZS output end Refutation % 0.23/0.48 Formulae used in the proof : ord_v0_v400 ord_v200_v400 leq_def odrl509 in_lopen % 0.23/0.48 %------------------------------------------------------------------------------