%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n018.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 0.39s 0.66s % Output : Refutation 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT080+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.08/0.36 % Computer : n018.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Mon Sep 7 14:17:22 UTC 2026 % 0.08/0.36 % CPUTime : % 0.39/0.66 % 0.39/0.66 SPASS V 3.9 % 0.39/0.66 SPASS beiseite: Proof found. % 0.39/0.66 % SZS status Theorem % 0.39/0.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.39/0.66 SPASS derived 927 clauses, backtracked 0 clauses, performed 2 splits and kept 588 clauses. % 0.39/0.66 SPASS allocated 98347 KBytes. % 0.39/0.66 SPASS spent 0:00:00.27 on the problem. % 0.39/0.66 0:00:00.06 for the input. % 0.39/0.66 0:00:00.06 for the FLOTTER CNF translation. % 0.39/0.66 0:00:00.01 for inferences. % 0.39/0.66 0:00:00.00 for the backtracking. % 0.39/0.66 0:00:00.08 for the reduction. % 0.39/0.66 % 0.39/0.66 % 0.39/0.66 Here is a proof with depth 3, length 16 : % 0.39/0.66 % SZS output start Refutation % 0.39/0.66 51[0:Inp] || -> less(v600,v800)*r. % 0.39/0.66 52[0:Inp] || -> in_closed(skc6,v600,v600)*. % 0.39/0.66 55[0:Inp] || -> in_closed(skc6,v800,v800)*. % 0.39/0.66 92[0:Inp] || equal(v800,v600)** -> . % 0.39/0.66 93[0:Inp] || less(u,u)* -> . % 0.39/0.66 100[0:Inp] || in_closed(u,v,w)* -> leq(v,u). % 0.39/0.66 101[0:Inp] || in_closed(u,v,w)* -> leq(u,w). % 0.39/0.66 110[0:Inp] || leq(u,v)* -> equal(u,v) less(u,v). % 0.39/0.66 111[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 0.39/0.66 115[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*. % 0.39/0.66 139[0:Res:55.0,100.0] || -> leq(v800,skc6)*r. % 0.39/0.66 151[0:Res:52.0,101.0] || -> leq(skc6,v600)*l. % 0.39/0.66 228[0:OCh:115.1,115.0,139.0,151.0] || -> leq(v800,v600)*l. % 0.39/0.66 232[0:NCh:111.2,111.1,93.0,51.0] || less(v800,v600)*l -> . % 0.39/0.66 1012[0:Res:228.0,110.0] || -> equal(v800,v600) less(v800,v600)*l. % 0.39/0.66 1071[0:MRR:1012.0,1012.1,92.0,232.0] || -> . % 0.39/0.66 % SZS output end Refutation % 0.39/0.66 Formulae used in the proof : ord_v600_v800 odrl365 distinct irreflexive in_closed leq_def transitive leq_trans % 0.39/0.66 %------------------------------------------------------------------------------