%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU210+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n019.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 : Tue Jul 19 14:35:02 EDT 2022 % Result : Theorem 148.91s 149.14s % Output : Refutation 148.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU210+2 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n019.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 : Sun Jun 19 03:04:39 EDT 2022 % 0.12/0.34 % CPUTime : % 148.91/149.14 % 148.91/149.14 SPASS V 3.9 % 148.91/149.14 SPASS beiseite: Proof found. % 148.91/149.14 % SZS status Theorem % 148.91/149.14 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 148.91/149.14 SPASS derived 62630 clauses, backtracked 1199 clauses, performed 6 splits and kept 26475 clauses. % 148.91/149.14 SPASS allocated 155644 KBytes. % 148.91/149.14 SPASS spent 0:2:26.12 on the problem. % 148.91/149.14 0:00:00.04 for the input. % 148.91/149.14 0:00:02.65 for the FLOTTER CNF translation. % 148.91/149.14 0:00:01.22 for inferences. % 148.91/149.14 0:00:02.61 for the backtracking. % 148.91/149.14 0:2:17.96 for the reduction. % 148.91/149.14 % 148.91/149.14 % 148.91/149.14 Here is a proof with depth 2, length 24 : % 148.91/149.14 % SZS output start Refutation % 148.91/149.14 1[0:Inp] || -> relation(skc6)*. % 148.91/149.14 15[0:Inp] || equal(empty_set,skc7)** -> . % 148.91/149.14 16[0:Inp] || -> subset(skc7,relation_rng(skc6))*r. % 148.91/149.14 26[0:Inp] || -> equal(relation_inverse_image(skc6,skc7),empty_set)**. % 148.91/149.14 63[0:Inp] || -> equal(u,empty_set) in(skf87(u),u)*. % 148.91/149.14 79[0:Inp] || in(u,v)* equal(v,empty_set) -> . % 148.91/149.14 94[0:Inp] || -> disjoint(u,v)* in(skf129(v,w),v)*. % 148.91/149.14 109[0:Inp] || in(u,v) disjoint(singleton(u),v)* -> . % 148.91/149.14 159[0:Inp] || in(u,v)* subset(v,w)*+ -> in(u,w)*. % 148.91/149.14 294[0:Inp] relation(u) || in(v,w)* equal(w,relation_rng(u))*+ -> in(ordered_pair(skf109(u,v),v),u)*. % 148.91/149.14 323[0:Inp] relation(u) || in(v,w)* equal(x,relation_inverse_image(u,w))*+ in(ordered_pair(y,v),u)* -> in(y,x)*. % 148.91/149.14 570[0:Res:63.1,15.0] || -> in(skf87(skc7),skc7)*. % 148.91/149.14 594[0:Res:26.0,79.0] || in(u,relation_inverse_image(skc6,skc7))* -> . % 148.91/149.14 613[0:Res:26.0,323.2] relation(skc6) || in(u,skc7) in(ordered_pair(v,u),skc6)* -> in(v,empty_set). % 148.91/149.14 630[0:Res:16.0,159.0] || in(u,skc7) -> in(u,relation_rng(skc6))*. % 148.91/149.14 641[0:Rew:26.0,594.0] || in(u,empty_set)* -> . % 148.91/149.14 664[0:MRR:613.0,613.3,1.0,641.0] || in(u,skc7) in(ordered_pair(v,u),skc6)* -> . % 148.91/149.14 1669[0:Res:94.0,109.1] || in(u,v)*+ -> in(skf129(v,w),v)*. % 148.91/149.14 2768[0:Res:570.0,1669.0] || -> in(skf129(skc7,u),skc7)*. % 148.91/149.14 12766[0:EqR:294.2] relation(u) || in(v,relation_rng(u)) -> in(ordered_pair(skf109(u,v),v),u)*. % 148.91/149.14 74733[0:Res:12766.2,664.1] relation(skc6) || in(u,relation_rng(skc6))* in(u,skc7) -> . % 148.91/149.14 74921[0:SSi:74733.0,1.0] || in(u,relation_rng(skc6))* in(u,skc7) -> . % 148.91/149.14 74922[0:MRR:74921.0,630.1] || in(u,skc7)* -> . % 148.91/149.14 74923[0:UnC:74922.0,2768.0] || -> . % 148.91/149.14 % SZS output end Refutation % 148.91/149.14 Formulae used in the proof : t174_relat_1 d1_xboole_0 t3_xboole_0 l25_zfmisc_1 d3_tarski d5_relat_1 d14_relat_1 % 148.91/149.14 %------------------------------------------------------------------------------