%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU167+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n016.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 14:34:38 EDT 2022 % Result : Theorem 4.54s 4.75s % Output : Refutation 4.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SEU167+2 : TPTP v8.1.0. Released v3.3.0. % 0.04/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n016.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jun 20 10:21:55 EDT 2022 % 0.13/0.34 % CPUTime : % 4.54/4.75 % 4.54/4.75 SPASS V 3.9 % 4.54/4.75 SPASS beiseite: Proof found. % 4.54/4.75 % SZS status Theorem % 4.54/4.75 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 4.54/4.75 SPASS derived 15800 clauses, backtracked 696 clauses, performed 8 splits and kept 5514 clauses. % 4.54/4.75 SPASS allocated 108496 KBytes. % 4.54/4.75 SPASS spent 0:00:04.31 on the problem. % 4.54/4.75 0:00:00.04 for the input. % 4.54/4.75 0:00:00.22 for the FLOTTER CNF translation. % 4.54/4.75 0:00:00.17 for inferences. % 4.54/4.75 0:00:00.18 for the backtracking. % 4.54/4.75 0:00:03.61 for the reduction. % 4.54/4.75 % 4.54/4.75 % 4.54/4.75 Here is a proof with depth 2, length 10 : % 4.54/4.75 % SZS output start Refutation % 4.54/4.75 3[0:Inp] || -> subset(skc9,skc8)*l. % 4.54/4.75 4[0:Inp] || -> subset(skc6,skc7)*r. % 4.54/4.75 39[0:Inp] || subset(cartesian_product2(skc9,skc6),cartesian_product2(skc8,skc7))*l -> . % 4.54/4.75 94[0:Inp] || subset(u,v) -> subset(cartesian_product2(u,w),cartesian_product2(v,w))*. % 4.54/4.75 95[0:Inp] || subset(u,v) -> subset(cartesian_product2(w,u),cartesian_product2(w,v))*. % 4.54/4.75 96[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*. % 4.54/4.75 167[0:Res:4.0,95.0] || -> subset(cartesian_product2(u,skc6),cartesian_product2(u,skc7))*r. % 4.54/4.75 187[0:Res:3.0,94.0] || -> subset(cartesian_product2(skc9,u),cartesian_product2(skc8,u))*l. % 4.54/4.75 18306[0:NCh:96.2,96.0,187.0,39.0] || subset(cartesian_product2(skc8,skc6),cartesian_product2(skc8,skc7))*r -> . % 4.54/4.75 18311[0:MRR:18306.0,167.0] || -> . % 4.54/4.75 % SZS output end Refutation % 4.54/4.75 Formulae used in the proof : t119_zfmisc_1 t118_zfmisc_1 t1_xboole_1 % 4.54/4.75 %------------------------------------------------------------------------------