%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n020.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 0.53s % Output : Refutation 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.08/0.35 % Computer : n020.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 14:12:58 UTC 2026 % 0.08/0.35 % CPUTime : % 0.22/0.53 % 0.22/0.53 SPASS V 3.9 % 0.22/0.53 SPASS beiseite: Proof found. % 0.22/0.53 % SZS status Theorem % 0.22/0.53 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.53 SPASS derived 43 clauses, backtracked 17 clauses, performed 1 splits and kept 102 clauses. % 0.22/0.53 SPASS allocated 98018 KBytes. % 0.22/0.53 SPASS spent 0:00:00.16 on the problem. % 0.22/0.53 0:00:00.06 for the input. % 0.22/0.53 0:00:00.06 for the FLOTTER CNF translation. % 0.22/0.53 0:00:00.00 for inferences. % 0.22/0.53 0:00:00.00 for the backtracking. % 0.22/0.53 0:00:00.00 for the reduction. % 0.22/0.53 % 0.22/0.53 % 0.22/0.53 Here is a proof with depth 3, length 15 : % 0.22/0.53 % SZS output start Refutation % 0.22/0.53 7[0:Inp] || -> leq(v800,skc1)*r. % 0.22/0.53 10[0:Inp] || -> less(v400,v800)*r. % 0.22/0.53 11[0:Inp] || leq(v400,skc1)*r -> . % 0.22/0.53 21[0:Inp] || less(u,v)* -> leq(u,v). % 0.22/0.53 32[0:Inp] || leq(u,v)* -> equal(u,v) less(u,v). % 0.22/0.53 33[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 0.22/0.53 62[0:Res:7.0,32.0] || -> equal(skc1,v800) less(v800,skc1)*r. % 0.22/0.53 67[0:Res:21.1,11.0] || less(v400,skc1)*r -> . % 0.22/0.53 73[1:Spt:62.0] || -> equal(skc1,v800)**. % 0.22/0.53 82[1:Rew:73.0,67.0] || less(v400,v800)*r -> . % 0.22/0.53 88[1:MRR:82.0,10.0] || -> . % 0.22/0.53 91[1:Spt:88.0,62.0,73.0] || equal(skc1,v800)** -> . % 0.22/0.53 92[1:Spt:88.0,62.1] || -> less(v800,skc1)*r. % 0.22/0.53 105[1:NCh:33.2,33.1,67.0,92.0] || less(v400,v800)*r -> . % 0.22/0.53 107[1:MRR:105.0,10.0] || -> . % 0.22/0.53 % SZS output end Refutation % 0.22/0.53 Formulae used in the proof : odrl311 ord_v400_v800 less_implies_leq leq_def transitive % 0.22/0.53 %------------------------------------------------------------------------------