%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n009.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 0.95s 1.20s % Output : Refutation 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.04 % Command : run_spass %d %s % 0.08/0.36 % Computer : n009.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % 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 14:12:52 UTC 2026 % 0.13/0.36 % CPUTime : % 0.95/1.20 % 0.95/1.20 SPASS V 3.9 % 0.95/1.20 SPASS beiseite: Proof found. % 0.95/1.20 % SZS status Theorem % 0.95/1.20 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.95/1.20 SPASS derived 4004 clauses, backtracked 0 clauses, performed 1 splits and kept 1303 clauses. % 0.95/1.20 SPASS allocated 100020 KBytes. % 0.95/1.20 SPASS spent 0:00:00.80 on the problem. % 0.95/1.20 0:00:00.06 for the input. % 0.95/1.20 0:00:00.06 for the FLOTTER CNF translation. % 0.95/1.20 0:00:00.07 for inferences. % 0.95/1.20 0:00:00.00 for the backtracking. % 0.95/1.20 0:00:00.56 for the reduction. % 0.95/1.20 % 0.95/1.20 % 0.95/1.20 Here is a proof with depth 4, length 13 : % 0.95/1.20 % SZS output start Refutation % 0.95/1.20 10[0:Inp] || -> less(v0,v200)*r. % 0.95/1.20 11[0:Inp] || -> less(v0,v500)*r. % 0.95/1.20 13[0:Inp] || -> less(v100,v200)*r. % 0.95/1.20 16[0:Inp] || -> less(v200,v500)*r. % 0.95/1.20 18[0:Inp] || -> less(v500,v800)*r. % 0.95/1.20 57[0:Inp] || less(u,v) less(v,w) -> in_open(v,u,w)*. % 0.95/1.20 70[0:Inp] || less(v200,u)+ less(v100,v) in_open(u,v0,v800)* in_open(v,v0,v500)* -> . % 0.95/1.20 77[0:Res:13.0,70.1] || less(v200,u)+ in_open(u,v0,v800)* in_open(v200,v0,v500)* -> . % 0.95/1.20 4251[0:Res:16.0,77.0] || in_open(v500,v0,v800)* in_open(v200,v0,v500) -> . % 0.95/1.20 4286[0:Res:57.2,4251.0] || less(v0,v500) less(v500,v800) in_open(v200,v0,v500)* -> . % 0.95/1.20 4287[0:MRR:4286.0,4286.1,11.0,18.0] || in_open(v200,v0,v500)* -> . % 0.95/1.20 4288[0:Res:57.2,4287.0] || less(v0,v200) less(v200,v500)*r -> . % 0.95/1.20 4289[0:MRR:4288.0,4288.1,10.0,16.0] || -> . % 0.95/1.20 % SZS output end Refutation % 0.95/1.20 Formulae used in the proof : ord_v0_v200 ord_v0_v500 ord_v100_v200 ord_v200_v500 ord_v500_v800 in_open odrl327 % 0.95/1.20 %------------------------------------------------------------------------------