%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV156+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Wed Jul 20 21:41:27 EDT 2022 % Result : Theorem 0.70s 0.92s % Output : Refutation 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV156+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.12/0.14 % Command : run_spass %d %s % 0.14/0.35 % Computer : n020.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Wed Jun 15 07:02:19 EDT 2022 % 0.14/0.35 % CPUTime : % 0.70/0.92 % 0.70/0.92 SPASS V 3.9 % 0.70/0.92 SPASS beiseite: Proof found. % 0.70/0.92 % SZS status Theorem % 0.70/0.92 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.70/0.92 SPASS derived 2260 clauses, backtracked 0 clauses, performed 2 splits and kept 965 clauses. % 0.70/0.92 SPASS allocated 87903 KBytes. % 0.70/0.92 SPASS spent 0:00:00.54 on the problem. % 0.70/0.92 0:00:00.04 for the input. % 0.70/0.92 0:00:00.07 for the FLOTTER CNF translation. % 0.70/0.92 0:00:00.02 for inferences. % 0.70/0.92 0:00:00.01 for the backtracking. % 0.70/0.92 0:00:00.27 for the reduction. % 0.70/0.92 % 0.70/0.92 % 0.70/0.92 Here is a proof with depth 1, length 7 : % 0.70/0.92 % SZS output start Refutation % 0.70/0.92 35[0:Inp] || -> leq(pv10,pred(pv10))*r. % 0.70/0.92 37[0:Inp] || gt(u,u)* -> . % 0.70/0.92 59[0:Inp] || -> equal(succ(pred(u)),u)**. % 0.70/0.92 81[0:Inp] || leq(u,v)*+ -> gt(succ(v),u)*. % 0.70/0.92 3323[0:Res:35.0,81.0] || -> gt(succ(pred(pv10)),pv10)*l. % 0.70/0.92 3404[0:Rew:59.0,3323.0] || -> gt(pv10,pv10)*. % 0.70/0.92 3405[0:MRR:3404.0,37.0] || -> . % 0.70/0.92 % SZS output end Refutation % 0.70/0.92 Formulae used in the proof : cl5_nebula_norm_0006 irreflexivity_gt succ_pred leq_succ_gt_equiv % 0.70/0.92 %------------------------------------------------------------------------------