%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n027.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 0.33s 0.62s % Output : Refutation 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.10/0.35 % Computer : n027.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Mon Sep 7 14:16:30 UTC 2026 % 0.10/0.35 % CPUTime : % 0.33/0.62 % 0.33/0.62 SPASS V 3.9 % 0.33/0.62 SPASS beiseite: Proof found. % 0.33/0.62 % SZS status Theorem % 0.33/0.62 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.33/0.62 SPASS derived 661 clauses, backtracked 13 clauses, performed 3 splits and kept 462 clauses. % 0.33/0.62 SPASS allocated 98122 KBytes. % 0.33/0.62 SPASS spent 0:00:00.24 on the problem. % 0.33/0.62 0:00:00.06 for the input. % 0.33/0.62 0:00:00.06 for the FLOTTER CNF translation. % 0.33/0.62 0:00:00.01 for inferences. % 0.33/0.62 0:00:00.00 for the backtracking. % 0.33/0.62 0:00:00.07 for the reduction. % 0.33/0.62 % 0.33/0.62 % 0.33/0.62 Here is a proof with depth 2, length 14 : % 0.33/0.62 % SZS output start Refutation % 0.33/0.62 13[0:Inp] || -> leq(v1200,skc4)*r. % 0.33/0.62 33[0:Inp] || -> less(v600,v1200)*r. % 0.33/0.62 35[0:Inp] || -> in_lopen(skc4,v0,v600)*. % 0.33/0.62 57[0:Inp] || equal(v1200,v600)** -> . % 0.33/0.62 65[0:Inp] || less(u,v)* -> leq(u,v). % 0.33/0.62 69[0:Inp] || in_lopen(u,v,w)* -> leq(u,w). % 0.33/0.62 78[0:Inp] || leq(u,v)*+ leq(v,u)* -> equal(v,u). % 0.33/0.62 81[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*. % 0.33/0.62 107[0:Res:35.0,69.0] || -> leq(skc4,v600)*l. % 0.33/0.62 298[0:Res:33.0,65.0] || -> leq(v600,v1200)*r. % 0.33/0.62 684[0:Res:298.0,78.0] || leq(v1200,v600)*l -> equal(v1200,v600). % 0.33/0.62 735[0:MRR:684.1,57.0] || leq(v1200,v600)*l -> . % 0.33/0.62 792[0:OCh:81.1,81.0,107.0,13.0] || -> leq(v1200,v600)*l. % 0.33/0.62 797[0:MRR:792.0,735.0] || -> . % 0.33/0.62 % SZS output end Refutation % 0.33/0.62 Formulae used in the proof : odrl341 ord_v600_v1200 distinct less_implies_leq in_lopen leq_antisym leq_trans % 0.33/0.62 %------------------------------------------------------------------------------