%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU139+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n020.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 14:34:15 EDT 2022 % Result : Theorem 0.18s 0.48s % Output : Refutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEU139+2 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.32 % Computer : n020.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 : Sun Jun 19 01:23:33 EDT 2022 % 0.12/0.32 % CPUTime : % 0.18/0.48 % 0.18/0.48 SPASS V 3.9 % 0.18/0.48 SPASS beiseite: Proof found. % 0.18/0.48 % SZS status Theorem % 0.18/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.48 SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 82 clauses. % 0.18/0.48 SPASS allocated 98598 KBytes. % 0.18/0.48 SPASS spent 0:00:00.15 on the problem. % 0.18/0.48 0:00:00.04 for the input. % 0.18/0.48 0:00:00.08 for the FLOTTER CNF translation. % 0.18/0.48 0:00:00.00 for inferences. % 0.18/0.48 0:00:00.00 for the backtracking. % 0.18/0.48 0:00:00.00 for the reduction. % 0.18/0.48 % 0.18/0.48 % 0.18/0.48 Here is a proof with depth 1, length 9 : % 0.18/0.48 % SZS output start Refutation % 0.18/0.48 3[0:Inp] || -> subset(skc4,skc5)*r. % 0.18/0.48 4[0:Inp] || -> proper_subset(skc5,skc4)*. % 0.18/0.48 32[0:Inp] || proper_subset(u,v)* proper_subset(v,u)* -> . % 0.18/0.48 35[0:Inp] || proper_subset(u,v)* equal(u,v) -> . % 0.18/0.48 50[0:Inp] || subset(u,v) -> proper_subset(u,v)* equal(u,v). % 0.18/0.48 85[0:Res:4.0,32.0] || proper_subset(skc4,skc5)* -> . % 0.18/0.48 86[0:Res:4.0,35.1] || equal(skc5,skc4)** -> . % 0.18/0.48 95[0:Res:3.0,50.0] || -> equal(skc5,skc4) proper_subset(skc4,skc5)*. % 0.18/0.48 101[0:MRR:95.0,95.1,86.0,85.0] || -> . % 0.18/0.48 % SZS output end Refutation % 0.18/0.48 Formulae used in the proof : t60_xboole_1 antisymmetry_r2_xboole_0 d8_xboole_0 % 0.18/0.48 %------------------------------------------------------------------------------