%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU134+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n025.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 14:34:13 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Refutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SEU134+2 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n025.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 : Sun Jun 19 07:46:13 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.49 % 0.18/0.49 SPASS V 3.9 % 0.18/0.49 SPASS beiseite: Proof found. % 0.18/0.49 % SZS status Theorem % 0.18/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.49 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 74 clauses. % 0.18/0.49 SPASS allocated 98698 KBytes. % 0.18/0.49 SPASS spent 0:00:00.14 on the problem. % 0.18/0.49 0:00:00.03 for the input. % 0.18/0.49 0:00:00.09 for the FLOTTER CNF translation. % 0.18/0.49 0:00:00.00 for inferences. % 0.18/0.49 0:00:00.00 for the backtracking. % 0.18/0.49 0:00:00.00 for the reduction. % 0.18/0.49 % 0.18/0.49 % 0.18/0.49 Here is a proof with depth 1, length 10 : % 0.18/0.49 % SZS output start Refutation % 0.18/0.49 26[0:Inp] || -> equal(set_difference(skc4,skc5),empty_set)** subset(skc4,skc5). % 0.18/0.49 35[0:Inp] || equal(set_difference(u,v),empty_set)** -> subset(u,v). % 0.18/0.49 36[0:Inp] || subset(u,v) -> equal(set_difference(u,v),empty_set)**. % 0.18/0.49 40[0:Inp] || equal(set_difference(skc4,skc5),empty_set)** subset(skc4,skc5) -> . % 0.18/0.49 72[0:MRR:26.1,36.0] || -> equal(set_difference(skc4,skc5),empty_set)**. % 0.18/0.49 73[0:Rew:72.0,40.0] || equal(empty_set,empty_set)* subset(skc4,skc5) -> . % 0.18/0.49 74[0:Obv:73.0] || subset(skc4,skc5)*r -> . % 0.18/0.49 85[0:Res:35.1,74.0] || equal(set_difference(skc4,skc5),empty_set)** -> . % 0.18/0.49 87[0:Rew:72.0,85.0] || equal(empty_set,empty_set)* -> . % 0.18/0.49 88[0:Obv:87.0] || -> . % 0.18/0.49 % SZS output end Refutation % 0.18/0.49 Formulae used in the proof : t37_xboole_1 l32_xboole_1 % 0.18/0.49 %------------------------------------------------------------------------------