%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n013.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 0.23s 0.56s % Output : Refutation 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.10/0.36 % Computer : n013.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 14:23:20 UTC 2026 % 0.10/0.37 % CPUTime : % 0.23/0.56 % 0.23/0.56 SPASS V 3.9 % 0.23/0.56 SPASS beiseite: Proof found. % 0.23/0.56 % SZS status Theorem % 0.23/0.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.23/0.56 SPASS derived 48 clauses, backtracked 0 clauses, performed 0 splits and kept 92 clauses. % 0.23/0.56 SPASS allocated 98065 KBytes. % 0.23/0.56 SPASS spent 0:00:00.17 on the problem. % 0.23/0.56 0:00:00.06 for the input. % 0.23/0.56 0:00:00.06 for the FLOTTER CNF translation. % 0.23/0.56 0:00:00.00 for inferences. % 0.23/0.56 0:00:00.00 for the backtracking. % 0.23/0.56 0:00:00.01 for the reduction. % 0.23/0.56 % 0.23/0.56 % 0.23/0.56 Here is a proof with depth 2, length 16 : % 0.23/0.56 % SZS output start Refutation % 0.23/0.56 8[0:Inp] || -> less(v0,v400)*r. % 0.23/0.56 9[0:Inp] || -> less(v400,v800)*r. % 0.23/0.56 10[0:Inp] || -> less(v800,v1200)*r. % 0.23/0.56 21[0:Inp] || completion_conflict(v400,v800,v0,v1200)* -> . % 0.23/0.56 24[0:Inp] || less(u,v)* -> leq(u,v). % 0.23/0.56 40[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*. % 0.23/0.56 64[0:Inp] || leq(u,v) leq(w,v) less(w,u) leq(x,w) -> completion_conflict(w,u,x,v)*. % 0.23/0.56 67[0:Res:64.4,21.0] || leq(v0,v400) less(v400,v800) leq(v400,v1200) leq(v800,v1200)*r -> . % 0.23/0.56 68[0:MRR:67.1,9.0] || leq(v800,v1200)*r leq(v400,v1200) leq(v0,v400) -> . % 0.23/0.56 106[0:Res:10.0,24.0] || -> leq(v800,v1200)*r. % 0.23/0.56 107[0:Res:9.0,24.0] || -> leq(v400,v800)*r. % 0.23/0.56 108[0:Res:8.0,24.0] || -> leq(v0,v400)*r. % 0.23/0.56 115[0:MRR:68.0,106.0] || leq(v400,v1200)*r leq(v0,v400) -> . % 0.23/0.56 116[0:MRR:115.1,108.0] || leq(v400,v1200)*r -> . % 0.23/0.56 117[0:NCh:40.2,40.1,116.0,106.0] || leq(v400,v800)*r -> . % 0.23/0.56 119[0:MRR:117.0,107.0] || -> . % 0.23/0.56 % SZS output end Refutation % 0.23/0.56 Formulae used in the proof : ord_v0_v400 ord_v400_v800 ord_v800_v1200 odrl633 less_implies_leq leq_trans sharpness_conflict % 0.23/0.56 %------------------------------------------------------------------------------