%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV133+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n011.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 21:41:23 EDT 2022 % Result : Theorem 1.25s 1.48s % Output : Refutation 1.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SWV133+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.08/0.14 % Command : run_spass %d %s % 0.13/0.35 % Computer : n011.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 : Wed Jun 15 04:30:50 EDT 2022 % 0.13/0.35 % CPUTime : % 1.25/1.48 % 1.25/1.48 SPASS V 3.9 % 1.25/1.48 SPASS beiseite: Proof found. % 1.25/1.48 % SZS status Theorem % 1.25/1.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.25/1.48 SPASS derived 4742 clauses, backtracked 960 clauses, performed 8 splits and kept 2876 clauses. % 1.25/1.48 SPASS allocated 89152 KBytes. % 1.25/1.48 SPASS spent 0:00:01.10 on the problem. % 1.25/1.48 0:00:00.04 for the input. % 1.25/1.48 0:00:00.08 for the FLOTTER CNF translation. % 1.25/1.48 0:00:00.03 for inferences. % 1.25/1.48 0:00:00.03 for the backtracking. % 1.25/1.48 0:00:00.84 for the reduction. % 1.25/1.48 % 1.25/1.48 % 1.25/1.48 Here is a proof with depth 2, length 8 : % 1.25/1.48 % SZS output start Refutation % 1.25/1.48 5[0:Inp] || -> leq(n2,pv1325)*l. % 1.25/1.48 20[0:Inp] || -> gt(n2,n0)*l. % 1.25/1.48 32[0:Inp] || leq(n0,pv1325)*l -> . % 1.25/1.48 70[0:Inp] || gt(u,v)* -> leq(v,u). % 1.25/1.48 106[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*. % 1.25/1.48 6394[0:Res:20.0,70.0] || -> leq(n0,n2)*r. % 1.25/1.48 6989[0:OCh:106.1,106.0,6394.0,5.0] || -> leq(n0,pv1325)*l. % 1.25/1.48 6994[0:MRR:6989.0,32.0] || -> . % 1.25/1.48 % SZS output end Refutation % 1.25/1.48 Formulae used in the proof : gauss_array_0003 gt_2_0 leq_gt1 transitivity_leq % 1.25/1.48 %------------------------------------------------------------------------------