%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT075+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 0.22s 0.55s % Output : Refutation 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT075+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.08/0.35 % Computer : n027.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 % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Mon Sep 7 14:13:45 UTC 2026 % 0.13/0.36 % CPUTime : % 0.22/0.55 % 0.22/0.55 SPASS V 3.9 % 0.22/0.55 SPASS beiseite: Proof found. % 0.22/0.55 % SZS status Theorem % 0.22/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.22/0.55 SPASS derived 27 clauses, backtracked 13 clauses, performed 1 splits and kept 81 clauses. % 0.22/0.55 SPASS allocated 98016 KBytes. % 0.22/0.55 SPASS spent 0:00:00.17 on the problem. % 0.22/0.55 0:00:00.06 for the input. % 0.22/0.55 0:00:00.06 for the FLOTTER CNF translation. % 0.22/0.55 0:00:00.00 for inferences. % 0.22/0.55 0:00:00.00 for the backtracking. % 0.22/0.55 0:00:00.00 for the reduction. % 0.22/0.55 % 0.22/0.55 % 0.22/0.55 Here is a proof with depth 3, length 15 : % 0.22/0.55 % SZS output start Refutation % 0.22/0.55 6[0:Inp] || -> leq(v600,skc1)*r. % 0.22/0.55 8[0:Inp] || -> in_open(skc1,v0,v600)*. % 0.22/0.55 10[0:Inp] || less(u,u)* -> . % 0.22/0.55 24[0:Inp] || in_open(u,v,w)* -> less(u,w). % 0.22/0.55 27[0:Inp] || leq(u,v)* -> equal(u,v) less(u,v). % 0.22/0.55 28[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 0.22/0.55 54[0:Res:8.0,24.0] || -> less(skc1,v600)*l. % 0.22/0.55 59[0:Res:6.0,27.0] || -> equal(skc1,v600) less(v600,skc1)*r. % 0.22/0.55 64[1:Spt:59.0] || -> equal(skc1,v600)**. % 0.22/0.55 68[1:Rew:64.0,54.0] || -> less(v600,v600)*. % 0.22/0.55 75[1:MRR:68.0,10.0] || -> . % 0.22/0.55 78[1:Spt:75.0,59.0,64.0] || equal(skc1,v600)** -> . % 0.22/0.55 79[1:Spt:75.0,59.1] || -> less(v600,skc1)*r. % 0.22/0.55 82[1:NCh:28.2,28.1,10.0,79.0] || less(skc1,v600)*l -> . % 0.22/0.55 86[1:MRR:82.0,54.0] || -> . % 0.22/0.55 % SZS output end Refutation % 0.22/0.55 Formulae used in the proof : odrl302 irreflexive in_open leq_def transitive % 0.22/0.55 %------------------------------------------------------------------------------