%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n002.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 0.31s 0.60s % Output : Refutation 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.10/0.36 % Computer : n002.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 % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 14:19:37 UTC 2026 % 0.10/0.36 % CPUTime : % 0.31/0.60 % 0.31/0.60 SPASS V 3.9 % 0.31/0.60 SPASS beiseite: Proof found. % 0.31/0.60 % SZS status Theorem % 0.31/0.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.31/0.60 SPASS derived 636 clauses, backtracked 0 clauses, performed 1 splits and kept 417 clauses. % 0.31/0.60 SPASS allocated 98138 KBytes. % 0.31/0.60 SPASS spent 0:00:00.22 on the problem. % 0.31/0.60 0:00:00.06 for the input. % 0.31/0.60 0:00:00.06 for the FLOTTER CNF translation. % 0.31/0.60 0:00:00.01 for inferences. % 0.31/0.60 0:00:00.00 for the backtracking. % 0.31/0.60 0:00:00.05 for the reduction. % 0.31/0.60 % 0.31/0.60 % 0.31/0.60 Here is a proof with depth 3, length 16 : % 0.31/0.60 % SZS output start Refutation % 0.31/0.60 33[0:Inp] || -> less(v600,v601)*r. % 0.31/0.60 35[0:Inp] || -> in_closed(skc4,v600,v600)*. % 0.31/0.60 37[0:Inp] || -> in_closed(skc4,v601,v601)*. % 0.31/0.60 58[0:Inp] || equal(v601,v600)** -> . % 0.31/0.60 59[0:Inp] || less(u,u)* -> . % 0.31/0.60 66[0:Inp] || in_closed(u,v,w)* -> leq(v,u). % 0.31/0.60 67[0:Inp] || in_closed(u,v,w)* -> leq(u,w). % 0.31/0.60 76[0:Inp] || leq(u,v)* -> equal(u,v) less(u,v). % 0.31/0.60 77[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 0.31/0.60 81[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*. % 0.31/0.60 103[0:Res:37.0,66.0] || -> leq(v601,skc4)*r. % 0.31/0.60 113[0:Res:35.0,67.0] || -> leq(skc4,v600)*l. % 0.31/0.60 169[0:NCh:77.2,77.1,59.0,33.0] || less(v601,v600)*l -> . % 0.31/0.60 213[0:OCh:81.1,81.0,103.0,113.0] || -> leq(v601,v600)*l. % 0.31/0.60 685[0:Res:213.0,76.0] || -> equal(v601,v600) less(v601,v600)*l. % 0.31/0.60 743[0:MRR:685.0,685.1,58.0,169.0] || -> . % 0.31/0.60 % SZS output end Refutation % 0.31/0.60 Formulae used in the proof : ord_v600_v601 odrl411 distinct irreflexive in_closed leq_def transitive leq_trans % 0.31/0.60 %------------------------------------------------------------------------------