%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT081+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n011.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 0.32s 0.58s % Output : Refutation 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT081+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.08/0.35 % Computer : n011.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 14:16:15 UTC 2026 % 0.08/0.35 % CPUTime : % 0.32/0.58 % 0.32/0.58 SPASS V 3.9 % 0.32/0.58 SPASS beiseite: Proof found. % 0.32/0.58 % SZS status Theorem % 0.32/0.58 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.32/0.58 SPASS derived 392 clauses, backtracked 13 clauses, performed 2 splits and kept 297 clauses. % 0.32/0.58 SPASS allocated 98043 KBytes. % 0.32/0.58 SPASS spent 0:00:00.21 on the problem. % 0.32/0.58 0:00:00.06 for the input. % 0.32/0.58 0:00:00.06 for the FLOTTER CNF translation. % 0.32/0.58 0:00:00.01 for inferences. % 0.32/0.58 0:00:00.00 for the backtracking. % 0.32/0.58 0:00:00.03 for the reduction. % 0.32/0.58 % 0.32/0.58 % 0.32/0.58 Here is a proof with depth 2, length 14 : % 0.32/0.58 % SZS output start Refutation % 0.32/0.58 10[0:Inp] || -> leq(v800,skc3)*r. % 0.32/0.58 19[0:Inp] || -> less(v400,v800)*r. % 0.32/0.58 21[0:Inp] || -> in_lopen(skc3,v0,v400)*. % 0.32/0.58 31[0:Inp] || equal(v800,v400)** -> . % 0.32/0.58 39[0:Inp] || less(u,v)* -> leq(u,v). % 0.32/0.58 43[0:Inp] || in_lopen(u,v,w)* -> leq(u,w). % 0.32/0.58 52[0:Inp] || leq(u,v)*+ leq(v,u)* -> equal(v,u). % 0.32/0.58 55[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*. % 0.32/0.58 79[0:Res:21.0,43.0] || -> leq(skc3,v400)*l. % 0.32/0.58 217[0:Res:19.0,39.0] || -> leq(v400,v800)*r. % 0.32/0.58 439[0:Res:217.0,52.0] || leq(v800,v400)*l -> equal(v800,v400). % 0.32/0.58 472[0:MRR:439.1,31.0] || leq(v800,v400)*l -> . % 0.32/0.58 485[0:OCh:55.1,55.0,79.0,10.0] || -> leq(v800,v400)*l. % 0.32/0.58 490[0:MRR:485.0,472.0] || -> . % 0.32/0.58 % SZS output end Refutation % 0.32/0.58 Formulae used in the proof : odrl402 ord_v400_v800 distinct less_implies_leq in_lopen leq_antisym leq_trans % 0.32/0.58 %------------------------------------------------------------------------------