%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n016.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 0.38s 0.66s % Output : Refutation 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.10/0.36 % Computer : n016.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 % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 14:25:32 UTC 2026 % 0.10/0.37 % CPUTime : % 0.38/0.66 % 0.38/0.66 SPASS V 3.9 % 0.38/0.66 SPASS beiseite: Proof found. % 0.38/0.66 % SZS status Theorem % 0.38/0.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.38/0.66 SPASS derived 589 clauses, backtracked 0 clauses, performed 0 splits and kept 388 clauses. % 0.38/0.66 SPASS allocated 98160 KBytes. % 0.38/0.66 SPASS spent 0:00:00.27 on the problem. % 0.38/0.66 0:00:00.06 for the input. % 0.38/0.66 0:00:00.06 for the FLOTTER CNF translation. % 0.38/0.66 0:00:00.01 for inferences. % 0.38/0.66 0:00:00.00 for the backtracking. % 0.38/0.66 0:00:00.09 for the reduction. % 0.38/0.66 % 0.38/0.66 % 0.38/0.66 Here is a proof with depth 2, length 8 : % 0.38/0.66 % SZS output start Refutation % 0.38/0.66 8[0:Inp] || -> less(v0,v600)*r. % 0.38/0.66 17[0:Inp] || in_lopen(u,v0,v600)* -> . % 0.38/0.66 19[0:Inp] || equal(u,v)* -> leq(u,v). % 0.38/0.66 38[0:Inp] || less(u,v) leq(v,w) -> in_lopen(v,u,w)*. % 0.38/0.66 57[0:Res:38.2,17.0] || leq(u,v600)* less(v0,u) -> . % 0.38/0.66 68[0:EqR:19.0] || -> leq(u,u)*. % 0.38/0.66 649[0:Res:68.0,57.0] || less(v0,v600)*r -> . % 0.38/0.66 668[0:MRR:649.0,8.0] || -> . % 0.38/0.66 % SZS output end Refutation % 0.38/0.66 Formulae used in the proof : ord_v0_v600 odrl500 leq_def in_lopen % 0.38/0.66 %------------------------------------------------------------------------------