%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n018.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 14:34:08 EDT 2022 % Result : Theorem 0.19s 0.45s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.12 % Command : run_spass %d %s % 0.12/0.32 % Computer : n018.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Mon Jun 20 10:32:35 EDT 2022 % 0.12/0.32 % CPUTime : % 0.19/0.45 % 0.19/0.45 SPASS V 3.9 % 0.19/0.45 SPASS beiseite: Proof found. % 0.19/0.45 % SZS status Theorem % 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.45 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 54 clauses. % 0.19/0.45 SPASS allocated 98251 KBytes. % 0.19/0.45 SPASS spent 0:00:00.12 on the problem. % 0.19/0.45 0:00:00.04 for the input. % 0.19/0.45 0:00:00.05 for the FLOTTER CNF translation. % 0.19/0.45 0:00:00.00 for inferences. % 0.19/0.45 0:00:00.00 for the backtracking. % 0.19/0.45 0:00:00.00 for the reduction. % 0.19/0.45 % 0.19/0.45 % 0.19/0.45 Here is a proof with depth 1, length 14 : % 0.19/0.45 % SZS output start Refutation % 0.19/0.45 3[0:Inp] || -> subset(skc4,skc5)*r. % 0.19/0.45 11[0:Inp] || equal(set_union2(skc4,skc5),skc5)** -> . % 0.19/0.45 35[0:Inp] || in(u,v)* subset(v,w)* -> in(u,w)*. % 0.19/0.45 47[0:Inp] || in(skf7(u,v,w),w)* in(skf7(u,v,w),v)* -> equal(w,set_union2(v,u)). % 0.19/0.45 48[0:Inp] || in(skf7(u,v,w),w)* in(skf7(u,v,w),u)* -> equal(w,set_union2(v,u)). % 0.19/0.45 49[0:Inp] || -> equal(u,set_union2(v,w)) in(skf7(w,v,u),w)* in(skf7(w,v,u),v)* in(skf7(w,v,u),u)*. % 0.19/0.45 56[0:Res:49.3,11.0] || -> in(skf7(skc5,skc4,skc5),skc5)* in(skf7(skc5,skc4,skc5),skc4) in(skf7(skc5,skc4,skc5),skc5)*. % 0.19/0.45 57[0:Res:47.2,11.0] || in(skf7(skc5,skc4,skc5),skc4) in(skf7(skc5,skc4,skc5),skc5)* -> . % 0.19/0.45 58[0:Res:48.2,11.0] || in(skf7(skc5,skc4,skc5),skc5)* in(skf7(skc5,skc4,skc5),skc5)* -> . % 0.19/0.45 62[0:Res:3.0,35.0] || in(u,skc4) -> in(u,skc5)*. % 0.19/0.45 64[0:MRR:57.1,62.1] || in(skf7(skc5,skc4,skc5),skc4)* -> . % 0.19/0.45 65[0:Obv:58.0] || in(skf7(skc5,skc4,skc5),skc5)* -> . % 0.19/0.45 66[0:Obv:56.0] || -> in(skf7(skc5,skc4,skc5),skc4) in(skf7(skc5,skc4,skc5),skc5)*. % 0.19/0.45 67[0:MRR:66.0,66.1,64.0,65.0] || -> . % 0.19/0.45 % SZS output end Refutation % 0.19/0.45 Formulae used in the proof : t12_xboole_1 d3_tarski d2_xboole_0 % 0.19/0.45 %------------------------------------------------------------------------------