%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n007.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 : Mon Sep 7 01:08:08 PM UTC 2026 % Result : Theorem 0.20s 0.52s % Output : Refutation 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_spass %d %s % 0.09/0.35 % Computer : n007.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 02:02:54 UTC 2026 % 0.09/0.36 % CPUTime : % 0.20/0.52 % 0.20/0.52 SPASS V 3.9 % 0.20/0.52 SPASS beiseite: Proof found. % 0.20/0.52 % SZS status Theorem % 0.20/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.20/0.52 SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 24 clauses. % 0.20/0.52 SPASS allocated 97653 KBytes. % 0.20/0.52 SPASS spent 0:00:00.15 on the problem. % 0.20/0.52 0:00:00.06 for the input. % 0.20/0.52 0:00:00.05 for the FLOTTER CNF translation. % 0.20/0.52 0:00:00.00 for inferences. % 0.20/0.52 0:00:00.00 for the backtracking. % 0.20/0.52 0:00:00.00 for the reduction. % 0.20/0.52 % 0.20/0.52 % 0.20/0.52 Here is a proof with depth 2, length 10 : % 0.20/0.52 % SZS output start Refutation % 0.20/0.52 1[0:Inp] || -> p100(skc1)*. % 0.20/0.52 2[0:Inp] || p101(skc1)* -> . % 0.20/0.52 3[0:Inp] || -> r1(u,u)*. % 0.20/0.52 5[0:Inp] || -> r1(u,skf2(u))*r. % 0.20/0.52 6[0:Inp] || r1(skc1,u) -> p2(u)*. % 0.20/0.52 13[0:Inp] p100(u) || p2(skf2(u))* r1(skc1,u) -> p101(u). % 0.20/0.52 38[0:Res:6.1,13.1] p100(u) || r1(skc1,skf2(u))*r r1(skc1,u) -> p101(u). % 0.20/0.52 49[0:Res:5.0,38.1] p100(skc1) || r1(skc1,skc1) -> p101(skc1)*. % 0.20/0.52 51[0:SSi:49.0,1.0] || r1(skc1,skc1) -> p101(skc1)*. % 0.20/0.52 52[0:MRR:51.0,51.1,3.0,2.0] || -> . % 0.20/0.52 % SZS output end Refutation % 0.20/0.52 Formulae used in the proof : main reflexivity transitivity % 0.20/0.52 %------------------------------------------------------------------------------