%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n026.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 2.05s 2.36s % Output : Refutation 2.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : run_spass %d %s % 0.10/0.35 % Computer : n026.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 5 21:13:56 UTC 2026 % 0.10/0.35 % CPUTime : % 2.05/2.36 % 2.05/2.36 SPASS V 3.9 % 2.05/2.36 SPASS beiseite: Proof found. % 2.05/2.36 % SZS status Theorem % 2.05/2.36 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 2.05/2.36 SPASS derived 1744 clauses, backtracked 0 clauses, performed 0 splits and kept 1655 clauses. % 2.05/2.36 SPASS allocated 100762 KBytes. % 2.05/2.36 SPASS spent 0:00:01.98 on the problem. % 2.05/2.36 0:00:00.03 for the input. % 2.05/2.36 0:00:00.04 for the FLOTTER CNF translation. % 2.05/2.36 0:00:00.03 for inferences. % 2.05/2.36 0:00:00.00 for the backtracking. % 2.05/2.36 0:00:01.80 for the reduction. % 2.05/2.36 % 2.05/2.36 % 2.05/2.36 Here is a proof with depth 8, length 37 : % 2.05/2.36 % SZS output start Refutation % 2.05/2.36 1[0:Inp] || -> p100(skc1)*. % 2.05/2.36 2[0:Inp] || p101(skc1)* -> . % 2.05/2.36 3[0:Inp] || -> r1(u,u)*. % 2.05/2.36 5[0:Inp] || -> r1(u,skf38(u))*r. % 2.05/2.36 7[0:Inp] || -> r1(u,skf36(u))*r. % 2.05/2.36 9[0:Inp] || -> r1(u,skf34(u))*r. % 2.05/2.36 11[0:Inp] || -> r1(u,skf32(u))*r. % 2.05/2.36 24[0:Inp] || r1(skc1,u) -> p5(u)*. % 2.05/2.36 34[0:Inp] p102(u) || r1(skc1,u) -> p101(u)*. % 2.05/2.36 36[0:Inp] || r1(u,v)* r1(v,w)* -> r1(u,w)*. % 2.05/2.36 58[0:Inp] p102(u) || r1(skc1,u) -> p103(u) p103(skf34(u))*. % 2.05/2.36 61[0:Inp] p101(u) || r1(skc1,u) -> p102(u) p102(skf36(u))*. % 2.05/2.36 64[0:Inp] p100(u) || r1(skc1,u) -> p101(u) p101(skf38(u))*. % 2.05/2.36 85[0:Inp] p103(u) || p5(skf32(u))* r1(skc1,u) -> p104(u). % 2.05/2.36 89[0:Inp] p102(u) || p104(skf34(u))* r1(skc1,u) -> p103(u). % 2.05/2.36 92[0:Inp] p101(u) || p103(skf36(u))* r1(skc1,u) -> p102(u). % 2.05/2.36 95[0:Inp] p100(u) || p102(skf38(u))* r1(skc1,u) -> p101(u). % 2.05/2.36 243[0:Res:34.2,2.0] p102(skc1) || r1(skc1,skc1)* -> . % 2.05/2.36 244[0:MRR:243.1,3.0] p102(skc1) || -> . % 2.05/2.36 263[0:Res:24.1,85.1] p103(u) || r1(skc1,skf32(u))*r r1(skc1,u) -> p104(u). % 2.05/2.36 2439[0:NCh:36.2,36.1,263.1,11.0] p103(u) || r1(skc1,u) r1(skc1,u) -> p104(u)*. % 2.05/2.36 2440[0:Obv:2439.1] p103(u) || r1(skc1,u) -> p104(u)*. % 2.05/2.36 2463[0:Res:2440.2,89.1] p103(skf34(u)) p102(u) || r1(skc1,skf34(u))*r r1(skc1,u) -> p103(u). % 2.05/2.36 2464[0:MRR:2463.0,58.3] p102(u) || r1(skc1,skf34(u))*r r1(skc1,u) -> p103(u). % 2.05/2.36 2467[0:NCh:36.2,36.1,2464.1,9.0] p102(u) || r1(skc1,u) r1(skc1,u) -> p103(u)*. % 2.05/2.36 2468[0:Obv:2467.1] p102(u) || r1(skc1,u) -> p103(u)*. % 2.05/2.36 2531[0:Res:2468.2,92.1] p102(skf36(u)) p101(u) || r1(skc1,skf36(u))*r r1(skc1,u) -> p102(u). % 2.05/2.36 2532[0:MRR:2531.0,61.3] p101(u) || r1(skc1,skf36(u))*r r1(skc1,u) -> p102(u). % 2.05/2.36 2598[0:Res:7.0,2532.1] p101(skc1) || r1(skc1,skc1) -> p102(skc1)*. % 2.05/2.36 2599[0:NCh:36.2,36.1,2532.1,7.0] p101(u) || r1(skc1,u) r1(skc1,u) -> p102(u)*. % 2.05/2.36 2600[0:MRR:2598.1,2598.2,3.0,244.0] p101(skc1) || -> . % 2.05/2.36 2601[0:Obv:2599.1] p101(u) || r1(skc1,u) -> p102(u)*. % 2.05/2.36 2665[0:Res:2601.2,95.1] p101(skf38(u)) p100(u) || r1(skc1,skf38(u))*r r1(skc1,u) -> p101(u). % 2.05/2.36 2666[0:MRR:2665.0,64.3] p100(u) || r1(skc1,skf38(u))*r r1(skc1,u) -> p101(u). % 2.05/2.36 2728[0:Res:5.0,2666.1] p100(skc1) || r1(skc1,skc1) -> p101(skc1)*. % 2.05/2.36 2730[0:SSi:2728.0,1.0] || r1(skc1,skc1) -> p101(skc1)*. % 2.05/2.36 2731[0:MRR:2730.0,2730.1,3.0,2600.0] || -> . % 2.05/2.36 % SZS output end Refutation % 2.05/2.36 Formulae used in the proof : main reflexivity transitivity % 2.05/2.36 %------------------------------------------------------------------------------