%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n004.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 06:20:01 AM UTC 2026 % Result : Theorem 0.22s 0.56s % Output : Refutation 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.09/0.36 % Computer : n004.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 14:22:15 UTC 2026 % 0.09/0.36 % CPUTime : % 0.22/0.56 % 0.22/0.56 SPASS V 3.9 % 0.22/0.56 SPASS beiseite: Proof found. % 0.22/0.56 % SZS status Theorem % 0.22/0.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.22/0.56 SPASS derived 37 clauses, backtracked 0 clauses, performed 0 splits and kept 114 clauses. % 0.22/0.56 SPASS allocated 98092 KBytes. % 0.22/0.56 SPASS spent 0:00:00.18 on the problem. % 0.22/0.56 0:00:00.06 for the input. % 0.22/0.56 0:00:00.06 for the FLOTTER CNF translation. % 0.22/0.56 0:00:00.00 for inferences. % 0.22/0.56 0:00:00.00 for the backtracking. % 0.22/0.56 0:00:00.01 for the reduction. % 0.22/0.56 % 0.22/0.56 % 0.22/0.56 Here is a proof with depth 1, length 12 : % 0.22/0.56 % SZS output start Refutation % 0.22/0.56 12[0:Inp] || -> less(v0,v600)*r. % 0.22/0.56 13[0:Inp] || -> less(v600,v1200)*r. % 0.22/0.56 14[0:Inp] || equal(v600,v0)** -> . % 0.22/0.56 31[0:Inp] || wf(lt,v600,v0,v1200)* -> . % 0.22/0.56 34[0:Inp] || less(u,v)* -> leq(u,v). % 0.22/0.56 87[0:Inp] || leq(u,v) leq(v,w) -> equal(v,u) wf(lt,v,u,w)*. % 0.22/0.56 94[0:Res:87.2,31.0] || leq(v600,v1200)*r leq(v0,v600) -> equal(v600,v0). % 0.22/0.56 95[0:MRR:94.2,14.0] || leq(v0,v600) leq(v600,v1200)*r -> . % 0.22/0.56 127[0:Res:13.0,34.0] || -> leq(v600,v1200)*r. % 0.22/0.56 128[0:Res:12.0,34.0] || -> leq(v0,v600)*r. % 0.22/0.56 133[0:MRR:95.1,127.0] || leq(v0,v600)*r -> . % 0.22/0.56 134[0:MRR:133.0,128.0] || -> . % 0.22/0.56 % SZS output end Refutation % 0.22/0.56 Formulae used in the proof : ord_v0_v600 ord_v600_v1200 distinct odrl613 less_implies_leq wf_lt % 0.22/0.56 %------------------------------------------------------------------------------