%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n010.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 01:08:11 PM UTC 2026 % Result : Theorem 0.23s 0.53s % Output : Refutation 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : run_spass %d %s % 0.10/0.37 % Computer : n010.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Fri Sep 4 16:06:23 UTC 2026 % 0.10/0.37 % CPUTime : % 0.23/0.53 % 0.23/0.53 SPASS V 3.9 % 0.23/0.53 SPASS beiseite: Proof found. % 0.23/0.53 % SZS status Theorem % 0.23/0.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.23/0.53 SPASS derived 51 clauses, backtracked 0 clauses, performed 0 splits and kept 67 clauses. % 0.23/0.53 SPASS allocated 85127 KBytes. % 0.23/0.53 SPASS spent 0:00:00.14 on the problem. % 0.23/0.53 0:00:00.06 for the input. % 0.23/0.53 0:00:00.04 for the FLOTTER CNF translation. % 0.23/0.53 0:00:00.00 for inferences. % 0.23/0.53 0:00:00.00 for the backtracking. % 0.23/0.53 0:00:00.00 for the reduction. % 0.23/0.53 % 0.23/0.53 % 0.23/0.53 Here is a proof with depth 1, length 6 : % 0.23/0.53 % SZS output start Refutation % 0.23/0.53 3[0:Inp] || -> r1(skc14,skc15)*l. % 0.23/0.53 4[0:Inp] || -> r1(skc9,skc14)*l. % 0.23/0.53 11[0:Inp] || p12(skc15)*+ -> . % 0.23/0.53 15[0:Inp] || r1(u,v)*+ r1(skc9,u)* -> p12(v)*. % 0.23/0.53 90[0:Res:3.0,15.0] || r1(skc9,skc14) -> p12(skc15)*. % 0.23/0.53 107[0:MRR:90.0,90.1,4.0,11.0] || -> . % 0.23/0.53 % SZS output end Refutation % 0.23/0.53 Formulae used in the proof : main % 0.23/0.53 %------------------------------------------------------------------------------