%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV138+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n022.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 21:41:24 EDT 2022 % Result : Theorem 0.59s 0.80s % Output : Refutation 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : SWV138+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.04/0.14 % Command : run_spass %d %s % 0.14/0.36 % Computer : n022.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Tue Jun 14 19:01:48 EDT 2022 % 0.14/0.36 % CPUTime : % 0.59/0.80 % 0.59/0.80 SPASS V 3.9 % 0.59/0.80 SPASS beiseite: Proof found. % 0.59/0.80 % SZS status Theorem % 0.59/0.80 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.59/0.80 SPASS derived 2087 clauses, backtracked 19 clauses, performed 3 splits and kept 746 clauses. % 0.59/0.80 SPASS allocated 87427 KBytes. % 0.59/0.80 SPASS spent 0:00:00.41 on the problem. % 0.59/0.80 0:00:00.04 for the input. % 0.59/0.80 0:00:00.08 for the FLOTTER CNF translation. % 0.59/0.80 0:00:00.02 for inferences. % 0.59/0.80 0:00:00.01 for the backtracking. % 0.59/0.80 0:00:00.20 for the reduction. % 0.59/0.80 % 0.59/0.80 % 0.59/0.80 Here is a proof with depth 1, length 8 : % 0.59/0.80 % SZS output start Refutation % 0.59/0.80 5[0:Inp] || -> leq(n2,pv1325)*r. % 0.59/0.80 20[0:Inp] || -> gt(n2,n0)*l. % 0.59/0.80 32[0:Inp] || leq(n0,pv1325)*r -> . % 0.59/0.80 70[0:Inp] || gt(u,v)* -> leq(v,u). % 0.59/0.80 105[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*. % 0.59/0.80 788[0:NCh:105.2,105.1,32.0,5.0] || leq(n0,n2)*r -> . % 0.59/0.80 3071[0:Res:20.0,70.0] || -> leq(n0,n2)*r. % 0.59/0.80 3190[0:MRR:3071.0,788.0] || -> . % 0.59/0.80 % SZS output end Refutation % 0.59/0.80 Formulae used in the proof : gauss_array_0008 gt_2_0 leq_gt1 transitivity_leq % 0.59/0.80 %------------------------------------------------------------------------------