%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU160+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n032.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 14:34:31 EDT 2022 % Result : Theorem 0.13s 0.52s % Output : Refutation 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.09 % Problem : SEU160+2 : TPTP v8.1.0. Released v3.3.0. % 0.05/0.10 % Command : run_spass %d %s % 0.10/0.28 % Computer : n032.cluster.edu % 0.10/0.28 % Model : x86_64 x86_64 % 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.28 % Memory : 8042.1875MB % 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.28 % CPULimit : 300 % 0.10/0.28 % WCLimit : 600 % 0.10/0.28 % DateTime : Sun Jun 19 02:18:47 EDT 2022 % 0.10/0.29 % CPUTime : % 0.13/0.52 % 0.13/0.52 SPASS V 3.9 % 0.13/0.52 SPASS beiseite: Proof found. % 0.13/0.52 % SZS status Theorem % 0.13/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.52 SPASS derived 56 clauses, backtracked 0 clauses, performed 0 splits and kept 143 clauses. % 0.13/0.52 SPASS allocated 100073 KBytes. % 0.13/0.52 SPASS spent 0:00:00.23 on the problem. % 0.13/0.52 0:00:00.03 for the input. % 0.13/0.52 0:00:00.17 for the FLOTTER CNF translation. % 0.13/0.52 0:00:00.00 for inferences. % 0.13/0.52 0:00:00.00 for the backtracking. % 0.13/0.52 0:00:00.01 for the reduction. % 0.13/0.52 % 0.13/0.52 % 0.13/0.52 Here is a proof with depth 1, length 11 : % 0.13/0.52 % SZS output start Refutation % 0.13/0.52 26[0:Inp] || equal(u,v)* -> subset(v,u). % 0.13/0.52 43[0:Inp] || equal(u,empty_set)* -> subset(u,singleton(v))*. % 0.13/0.52 50[0:Inp] || equal(empty_set,skc4) subset(skc4,singleton(skc5))*r -> . % 0.13/0.52 71[0:Inp] || equal(singleton(skc5),skc4) subset(skc4,singleton(skc5))*r -> . % 0.13/0.52 79[0:Inp] || -> subset(skc4,singleton(skc5))*r equal(empty_set,skc4) equal(singleton(skc5),skc4). % 0.13/0.52 97[0:Inp] || subset(u,singleton(v))* -> equal(u,empty_set) equal(u,singleton(v)). % 0.13/0.52 147[0:MRR:50.1,43.1] || equal(empty_set,skc4)** -> . % 0.13/0.52 148[0:MRR:71.1,26.1] || equal(singleton(skc5),skc4)** -> . % 0.13/0.52 150[0:MRR:79.1,79.2,147.0,26.0] || -> subset(skc4,singleton(skc5))*r. % 0.13/0.52 233[0:Res:150.0,97.0] || -> equal(singleton(skc5),skc4)** equal(empty_set,skc4). % 0.13/0.52 238[0:MRR:233.0,233.1,148.0,147.0] || -> . % 0.13/0.52 % SZS output end Refutation % 0.13/0.52 Formulae used in the proof : d10_xboole_0 l4_zfmisc_1 t39_zfmisc_1 % 0.13/0.52 %------------------------------------------------------------------------------