%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU148+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n027.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 14:34:21 EDT 2022 % Result : Theorem 0.18s 0.52s % Output : Refutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SEU148+2 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n027.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jun 20 10:16:40 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.52 % 0.18/0.52 SPASS V 3.9 % 0.18/0.52 SPASS beiseite: Proof found. % 0.18/0.52 % SZS status Theorem % 0.18/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.52 SPASS derived 177 clauses, backtracked 0 clauses, performed 0 splits and kept 169 clauses. % 0.18/0.52 SPASS allocated 99247 KBytes. % 0.18/0.52 SPASS spent 0:00:00.18 on the problem. % 0.18/0.52 0:00:00.04 for the input. % 0.18/0.52 0:00:00.11 for the FLOTTER CNF translation. % 0.18/0.52 0:00:00.00 for inferences. % 0.18/0.52 0:00:00.00 for the backtracking. % 0.18/0.52 0:00:00.01 for the reduction. % 0.18/0.52 % 0.18/0.52 % 0.18/0.52 Here is a proof with depth 2, length 14 : % 0.18/0.52 % SZS output start Refutation % 0.18/0.52 6[0:Inp] || equal(skc5,skc4)** -> . % 0.18/0.52 8[0:Inp] || -> subset(singleton(skc4),singleton(skc5))*r. % 0.18/0.52 11[0:Inp] || equal(singleton(u),empty_set)** -> . % 0.18/0.52 39[0:Inp] || subset(singleton(u),v) -> in(u,v)*. % 0.18/0.52 71[0:Inp] || in(u,v)* equal(v,singleton(w))* -> equal(u,w)*. % 0.18/0.52 75[0:Inp] || subset(u,singleton(v))* -> equal(u,empty_set) equal(u,singleton(v)). % 0.18/0.52 126[0:Res:71.2,6.0] || in(skc4,u)* equal(u,singleton(skc5)) -> . % 0.18/0.52 143[0:Res:8.0,75.0] || -> equal(singleton(skc5),singleton(skc4))** equal(singleton(skc4),empty_set). % 0.18/0.52 145[0:Res:8.0,39.0] || -> in(skc4,singleton(skc5))*. % 0.18/0.52 147[0:MRR:143.1,11.0] || -> equal(singleton(skc5),singleton(skc4))**. % 0.18/0.52 149[0:Rew:147.0,145.0] || -> in(skc4,singleton(skc4))*. % 0.18/0.52 151[0:Rew:147.0,126.1] || equal(u,singleton(skc4)) in(skc4,u)* -> . % 0.18/0.52 307[0:Res:149.0,151.1] || equal(singleton(skc4),singleton(skc4))* -> . % 0.18/0.52 308[0:Obv:307.0] || -> . % 0.18/0.52 % SZS output end Refutation % 0.18/0.52 Formulae used in the proof : t6_zfmisc_1 l1_zfmisc_1 l2_zfmisc_1 d1_tarski l4_zfmisc_1 % 0.18/0.52 %------------------------------------------------------------------------------