%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0. % 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 : Mon Sep 7 01:08:08 PM UTC 2026 % Result : Theorem 0.66s 0.94s % Output : Refutation 0.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : run_spass %d %s % 0.08/0.35 % Computer : n013.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 02:05:20 UTC 2026 % 0.08/0.35 % CPUTime : % 0.66/0.94 % 0.66/0.94 SPASS V 3.9 % 0.66/0.94 SPASS beiseite: Proof found. % 0.66/0.94 % SZS status Theorem % 0.66/0.94 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.66/0.94 SPASS derived 457 clauses, backtracked 0 clauses, performed 0 splits and kept 417 clauses. % 0.66/0.94 SPASS allocated 98407 KBytes. % 0.66/0.94 SPASS spent 0:00:00.57 on the problem. % 0.66/0.94 0:00:00.06 for the input. % 0.66/0.94 0:00:00.06 for the FLOTTER CNF translation. % 0.66/0.94 0:00:00.02 for inferences. % 0.66/0.94 0:00:00.00 for the backtracking. % 0.66/0.94 0:00:00.39 for the reduction. % 0.66/0.94 % 0.66/0.94 % 0.66/0.94 Here is a proof with depth 4, length 23 : % 0.66/0.94 % SZS output start Refutation % 0.66/0.94 1[0:Inp] || -> p100(skc1)*. % 0.66/0.94 2[0:Inp] || p101(skc1)* -> . % 0.66/0.94 3[0:Inp] || -> r1(u,u)*. % 0.66/0.94 5[0:Inp] || -> r1(u,skf18(u))*r. % 0.66/0.94 7[0:Inp] || -> r1(u,skf16(u))*r. % 0.66/0.94 14[0:Inp] || r1(skc1,u) -> p3(u)*. % 0.66/0.94 19[0:Inp] p102(u) || r1(skc1,u) -> p101(u)*. % 0.66/0.94 21[0:Inp] || r1(u,v)* r1(v,w)* -> r1(u,w)*. % 0.66/0.94 34[0:Inp] p100(u) || r1(skc1,u) -> p101(u) p101(skf18(u))*. % 0.66/0.94 46[0:Inp] p101(u) || p3(skf16(u))* r1(skc1,u) -> p102(u). % 0.66/0.94 50[0:Inp] p100(u) || p102(skf18(u))* r1(skc1,u) -> p101(u). % 0.66/0.94 128[0:Res:19.2,2.0] p102(skc1) || r1(skc1,skc1)* -> . % 0.66/0.94 129[0:MRR:128.1,3.0] p102(skc1) || -> . % 0.66/0.94 138[0:Res:14.1,46.1] p101(u) || r1(skc1,skf16(u))*r r1(skc1,u) -> p102(u). % 0.66/0.94 723[0:Res:7.0,138.1] p101(skc1) || r1(skc1,skc1) -> p102(skc1)*. % 0.66/0.94 724[0:NCh:21.2,21.1,138.1,7.0] p101(u) || r1(skc1,u) r1(skc1,u) -> p102(u)*. % 0.66/0.94 725[0:MRR:723.1,723.2,3.0,129.0] p101(skc1) || -> . % 0.66/0.94 726[0:Obv:724.1] p101(u) || r1(skc1,u) -> p102(u)*. % 0.66/0.94 740[0:Res:726.2,50.1] p101(skf18(u)) p100(u) || r1(skc1,skf18(u))*r r1(skc1,u) -> p101(u). % 0.66/0.94 741[0:MRR:740.0,34.3] p100(u) || r1(skc1,skf18(u))*r r1(skc1,u) -> p101(u). % 0.66/0.94 743[0:Res:5.0,741.1] p100(skc1) || r1(skc1,skc1) -> p101(skc1)*. % 0.66/0.94 745[0:SSi:743.0,1.0] || r1(skc1,skc1) -> p101(skc1)*. % 0.66/0.94 746[0:MRR:745.0,745.1,3.0,725.0] || -> . % 0.66/0.94 % SZS output end Refutation % 0.66/0.94 Formulae used in the proof : main reflexivity transitivity % 0.66/0.94 %------------------------------------------------------------------------------