%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV160+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n025.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 21:41:28 EDT 2022 % Result : Theorem 0.70s 0.89s % Output : Refutation 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWV160+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.04/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n025.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 15 09:51:10 EDT 2022 % 0.12/0.34 % CPUTime : % 0.70/0.89 % 0.70/0.89 SPASS V 3.9 % 0.70/0.89 SPASS beiseite: Proof found. % 0.70/0.89 % SZS status Theorem % 0.70/0.89 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.70/0.89 SPASS derived 2150 clauses, backtracked 0 clauses, performed 2 splits and kept 951 clauses. % 0.70/0.89 SPASS allocated 87913 KBytes. % 0.70/0.89 SPASS spent 0:00:00.52 on the problem. % 0.70/0.89 0:00:00.04 for the input. % 0.70/0.89 0:00:00.07 for the FLOTTER CNF translation. % 0.70/0.89 0:00:00.01 for inferences. % 0.70/0.89 0:00:00.01 for the backtracking. % 0.70/0.89 0:00:00.26 for the reduction. % 0.70/0.89 % 0.70/0.89 % 0.70/0.89 Here is a proof with depth 1, length 7 : % 0.70/0.89 % SZS output start Refutation % 0.70/0.89 43[0:Inp] || -> leq(pv10,pred(pv10))*r. % 0.70/0.89 45[0:Inp] || gt(u,u)* -> . % 0.70/0.89 67[0:Inp] || -> equal(succ(pred(u)),u)**. % 0.70/0.89 89[0:Inp] || leq(u,v)*+ -> gt(succ(v),u)*. % 0.70/0.89 3117[0:Res:43.0,89.0] || -> gt(succ(pred(pv10)),pv10)*l. % 0.70/0.89 3223[0:Rew:67.0,3117.0] || -> gt(pv10,pv10)*. % 0.70/0.89 3224[0:MRR:3223.0,45.0] || -> . % 0.70/0.89 % SZS output end Refutation % 0.70/0.89 Formulae used in the proof : cl5_nebula_norm_0010 irreflexivity_gt succ_pred leq_succ_gt_equiv % 0.70/0.89 %------------------------------------------------------------------------------