%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU124+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n014.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 14:34:07 EDT 2022 % Result : Theorem 7.91s 8.15s % Output : Refutation 7.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU124+2 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n014.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 10:04:32 EDT 2022 % 0.12/0.34 % CPUTime : % 7.91/8.15 % 7.91/8.15 SPASS V 3.9 % 7.91/8.15 SPASS beiseite: Proof found. % 7.91/8.15 % SZS status Theorem % 7.91/8.15 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 7.91/8.15 SPASS derived 11572 clauses, backtracked 0 clauses, performed 0 splits and kept 4647 clauses. % 7.91/8.15 SPASS allocated 107181 KBytes. % 7.91/8.15 SPASS spent 0:00:07.64 on the problem. % 7.91/8.15 0:00:00.04 for the input. % 7.91/8.15 0:00:00.06 for the FLOTTER CNF translation. % 7.91/8.15 0:00:00.14 for inferences. % 7.91/8.15 0:00:00.00 for the backtracking. % 7.91/8.15 0:00:07.34 for the reduction. % 7.91/8.15 % 7.91/8.15 % 7.91/8.15 Here is a proof with depth 3, length 11 : % 7.91/8.15 % SZS output start Refutation % 7.91/8.15 9[0:Inp] || subset(skc5,set_union2(skc5,skc4))*r -> . % 7.91/8.15 11[0:Inp] || -> equal(set_union2(u,v),set_union2(v,u))*. % 7.91/8.15 23[0:Inp] || -> subset(u,v) in(skf8(v,u),u)*. % 7.91/8.15 26[0:Inp] || in(skf8(u,v),u)*+ -> subset(w,u)*. % 7.91/8.15 37[0:Inp] || in(u,v)* equal(w,set_union2(x,v))*+ -> in(u,w)*. % 7.91/8.15 49[0:Rew:11.0,9.0] || subset(skc5,set_union2(skc4,skc5))*r -> . % 7.91/8.15 293[0:EqR:37.1] || in(u,v) -> in(u,set_union2(w,v))*. % 7.91/8.15 352[0:Res:293.1,26.0] || in(skf8(set_union2(u,v),w),v)*+ -> subset(x,set_union2(u,v))*. % 7.91/8.15 13730[0:Res:23.1,352.0] || -> subset(u,set_union2(v,u))*r subset(w,set_union2(v,u))*. % 7.91/8.15 13739[0:Con:13730.1] || -> subset(u,set_union2(v,u))*r. % 7.91/8.15 13740[0:UnC:13739.0,49.0] || -> . % 7.91/8.15 % SZS output end Refutation % 7.91/8.15 Formulae used in the proof : t7_xboole_1 commutativity_k2_xboole_0 d3_tarski d2_xboole_0 % 7.91/8.15 %------------------------------------------------------------------------------