%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV152+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 21:41:27 EDT 2022 % Result : Theorem 0.20s 0.54s % Output : Refutation 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SWV152+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 : Thu Jun 16 06:00:36 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.54 % 0.20/0.54 SPASS V 3.9 % 0.20/0.54 SPASS beiseite: Proof found. % 0.20/0.54 % SZS status Theorem % 0.20/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.54 SPASS derived 186 clauses, backtracked 0 clauses, performed 0 splits and kept 152 clauses. % 0.20/0.54 SPASS allocated 85786 KBytes. % 0.20/0.54 SPASS spent 0:00:00.17 on the problem. % 0.20/0.54 0:00:00.04 for the input. % 0.20/0.54 0:00:00.08 for the FLOTTER CNF translation. % 0.20/0.54 0:00:00.00 for inferences. % 0.20/0.54 0:00:00.00 for the backtracking. % 0.20/0.54 0:00:00.01 for the reduction. % 0.20/0.54 % 0.20/0.54 % 0.20/0.54 Here is a proof with depth 1, length 15 : % 0.20/0.54 % SZS output start Refutation % 0.20/0.54 2[0:Inp] || -> leq(n0,skc1)*r. % 0.20/0.54 3[0:Inp] || -> leq(skc1,tptp_minus_1)*l. % 0.20/0.54 27[0:Inp] || gt(u,u)* -> . % 0.20/0.54 29[0:Inp] || -> equal(succ(tptp_minus_1),n0)**. % 0.20/0.54 70[0:Inp] || leq(u,v)* -> leq(u,succ(v))*. % 0.20/0.54 71[0:Inp] || leq(u,v)* -> gt(succ(v),u)*. % 0.20/0.54 96[0:Inp] || leq(u,n0)* leq(n0,u)* -> equal(u,n0). % 0.20/0.54 168[0:Res:3.0,70.0] || -> leq(skc1,succ(tptp_minus_1))*r. % 0.20/0.54 169[0:Res:3.0,71.0] || -> gt(succ(tptp_minus_1),skc1)*l. % 0.20/0.54 227[0:Res:2.0,96.0] || leq(skc1,n0)*l -> equal(skc1,n0). % 0.20/0.54 321[0:Rew:29.0,168.0] || -> leq(skc1,n0)*l. % 0.20/0.54 322[0:Rew:29.0,169.0] || -> gt(n0,skc1)*r. % 0.20/0.54 325[0:MRR:227.0,321.0] || -> equal(skc1,n0)**. % 0.20/0.54 332[0:Rew:325.0,322.0] || -> gt(n0,n0)*. % 0.20/0.54 340[0:MRR:332.0,27.0] || -> . % 0.20/0.54 % SZS output end Refutation % 0.20/0.54 Formulae used in the proof : cl5_nebula_norm_0002 irreflexivity_gt succ_tptp_minus_1 leq_succ leq_succ_gt_equiv finite_domain_0 % 0.20/0.54 %------------------------------------------------------------------------------