%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT103+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n019.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 06:20:02 AM UTC 2026 % Result : Unsatisfiable 0.22s 0.54s % Output : Refutation 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT103+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.08/0.35 % Computer : n019.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 14:39:37 UTC 2026 % 0.08/0.35 % CPUTime : % 0.22/0.54 % 0.22/0.54 SPASS V 3.9 % 0.22/0.54 SPASS beiseite: Proof found. % 0.22/0.54 % SZS status Theorem % 0.22/0.54 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.54 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 52 clauses. % 0.22/0.54 SPASS allocated 98001 KBytes. % 0.22/0.54 SPASS spent 0:00:00.16 on the problem. % 0.22/0.54 0:00:00.06 for the input. % 0.22/0.54 0:00:00.06 for the FLOTTER CNF translation. % 0.22/0.54 0:00:00.00 for inferences. % 0.22/0.54 0:00:00.00 for the backtracking. % 0.22/0.54 0:00:00.00 for the reduction. % 0.22/0.54 % 0.22/0.54 % 0.22/0.54 Here is a proof with depth 1, length 6 : % 0.22/0.54 % SZS output start Refutation % 0.22/0.54 9[0:Inp] || -> less(v800,v600)*l. % 0.22/0.54 10[0:Inp] || -> less(v600,v800)*r. % 0.22/0.54 14[0:Inp] || less(u,u)* -> . % 0.22/0.54 32[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 0.22/0.54 58[0:OCh:32.1,32.0,9.0,10.0] || -> less(v600,v600)*. % 0.22/0.54 59[0:MRR:58.0,14.0] || -> . % 0.22/0.54 % SZS output end Refutation % 0.22/0.54 Formulae used in the proof : contradiction irreflexive transitive % 0.22/0.54 %------------------------------------------------------------------------------