%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n004.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 21:41:29 EDT 2022 % Result : Theorem 0.76s 0.96s % Output : Refutation 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.03/0.13 % Command : run_spass %d %s % 0.13/0.35 % Computer : n004.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Thu Jun 16 01:12:39 EDT 2022 % 0.13/0.35 % CPUTime : % 0.76/0.96 % 0.76/0.96 SPASS V 3.9 % 0.76/0.96 SPASS beiseite: Proof found. % 0.76/0.96 % SZS status Theorem % 0.76/0.96 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.76/0.96 SPASS derived 2670 clauses, backtracked 46 clauses, performed 2 splits and kept 1404 clauses. % 0.76/0.96 SPASS allocated 88142 KBytes. % 0.76/0.96 SPASS spent 0:00:00.59 on the problem. % 0.76/0.96 0:00:00.04 for the input. % 0.76/0.96 0:00:00.06 for the FLOTTER CNF translation. % 0.76/0.96 0:00:00.02 for inferences. % 0.76/0.96 0:00:00.01 for the backtracking. % 0.76/0.96 0:00:00.33 for the reduction. % 0.76/0.96 % 0.76/0.96 % 0.76/0.96 Here is a proof with depth 2, length 10 : % 0.76/0.96 % SZS output start Refutation % 0.76/0.96 2[0:Inp] || -> leq(n0,skc1)*r. % 0.76/0.96 5[0:Inp] || -> leq(skc1,tptp_minus_1)*l. % 0.76/0.96 44[0:Inp] || gt(u,u)* -> . % 0.76/0.96 46[0:Inp] || -> equal(succ(tptp_minus_1),n0)**. % 0.76/0.96 88[0:Inp] || leq(u,v)*+ -> gt(succ(v),u)*. % 0.76/0.96 114[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*. % 0.76/0.96 3119[0:OCh:114.1,114.0,5.0,2.0] || -> leq(n0,tptp_minus_1)*r. % 0.76/0.96 3863[0:Res:3119.0,88.0] || -> gt(succ(tptp_minus_1),n0)*l. % 0.76/0.96 3873[0:Rew:46.0,3863.0] || -> gt(n0,n0)*. % 0.76/0.96 3874[0:MRR:3873.0,44.0] || -> . % 0.76/0.96 % SZS output end Refutation % 0.76/0.96 Formulae used in the proof : cl5_nebula_norm_0014 irreflexivity_gt succ_tptp_minus_1 leq_succ_gt_equiv transitivity_leq % 0.76/0.96 %------------------------------------------------------------------------------