%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU137+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 14:34:14 EDT 2022 % Result : Theorem 0.15s 0.41s % Output : Refutation 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : SEU137+2 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.10 % Command : run_spass %d %s % 0.11/0.30 % Computer : n032.cluster.edu % 0.11/0.30 % Model : x86_64 x86_64 % 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.30 % Memory : 8042.1875MB % 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.30 % CPULimit : 300 % 0.11/0.30 % WCLimit : 600 % 0.11/0.30 % DateTime : Mon Jun 20 09:07:33 EDT 2022 % 0.11/0.30 % CPUTime : % 0.15/0.41 % 0.15/0.41 SPASS V 3.9 % 0.15/0.41 SPASS beiseite: Proof found. % 0.15/0.41 % SZS status Theorem % 0.15/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.15/0.41 SPASS derived 21 clauses, backtracked 0 clauses, performed 0 splits and kept 72 clauses. % 0.15/0.41 SPASS allocated 98630 KBytes. % 0.15/0.41 SPASS spent 0:00:00.10 on the problem. % 0.15/0.41 0:00:00.03 for the input. % 0.15/0.41 0:00:00.05 for the FLOTTER CNF translation. % 0.15/0.41 0:00:00.00 for inferences. % 0.15/0.41 0:00:00.00 for the backtracking. % 0.15/0.41 0:00:00.00 for the reduction. % 0.15/0.41 % 0.15/0.41 % 0.15/0.41 Here is a proof with depth 1, length 7 : % 0.15/0.41 % SZS output start Refutation % 0.15/0.41 3[0:Inp] || -> subset(skc4,skc5)*r. % 0.15/0.41 27[0:Inp] || equal(set_union2(skc4,set_difference(skc5,skc4)),skc5)** -> . % 0.15/0.41 38[0:Inp] || subset(u,v) -> equal(set_union2(u,v),v)**. % 0.15/0.41 42[0:Inp] || -> equal(set_union2(u,set_difference(v,u)),set_union2(u,v))**. % 0.15/0.41 75[0:Rew:42.0,27.0] || equal(set_union2(skc4,skc5),skc5)** -> . % 0.15/0.41 96[0:Res:3.0,38.0] || -> equal(set_union2(skc4,skc5),skc5)**. % 0.15/0.41 101[0:MRR:96.0,75.0] || -> . % 0.15/0.41 % SZS output end Refutation % 0.15/0.41 Formulae used in the proof : t45_xboole_1 t12_xboole_1 t39_xboole_1 % 0.15/0.41 %------------------------------------------------------------------------------