%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n019.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 0.20s 0.45s % Output : Refutation 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.13 % Command : run_spass %d %s % 0.13/0.35 % Computer : n019.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun Jun 19 07:14:24 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.45 % 0.20/0.45 SPASS V 3.9 % 0.20/0.45 SPASS beiseite: Proof found. % 0.20/0.45 % SZS status Theorem % 0.20/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.45 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 14 clauses. % 0.20/0.45 SPASS allocated 85130 KBytes. % 0.20/0.45 SPASS spent 0:00:00.09 on the problem. % 0.20/0.45 0:00:00.04 for the input. % 0.20/0.45 0:00:00.03 for the FLOTTER CNF translation. % 0.20/0.45 0:00:00.00 for inferences. % 0.20/0.45 0:00:00.00 for the backtracking. % 0.20/0.45 0:00:00.00 for the reduction. % 0.20/0.45 % 0.20/0.45 % 0.20/0.45 Here is a proof with depth 2, length 10 : % 0.20/0.45 % SZS output start Refutation % 0.20/0.45 2[0:Inp] || -> subset(skc9,skc8)*r. % 0.20/0.45 3[0:Inp] || -> subset(skc6,skc7)*l. % 0.20/0.45 6[0:Inp] || subset(cartesian_product2(skc9,skc6),cartesian_product2(skc8,skc7))*r -> . % 0.20/0.45 7[0:Inp] || subset(u,v) -> subset(cartesian_product2(u,w),cartesian_product2(v,w))*. % 0.20/0.45 8[0:Inp] || subset(u,v) -> subset(cartesian_product2(w,u),cartesian_product2(w,v))*. % 0.20/0.45 9[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*. % 0.20/0.45 10[0:Res:3.0,8.0] || -> subset(cartesian_product2(u,skc6),cartesian_product2(u,skc7))*l. % 0.20/0.45 13[0:Res:2.0,7.0] || -> subset(cartesian_product2(skc9,u),cartesian_product2(skc8,u))*r. % 0.20/0.45 15[0:NCh:9.2,9.1,6.0,13.0] || subset(cartesian_product2(skc9,skc6),cartesian_product2(skc9,skc7))*l -> . % 0.20/0.45 16[0:MRR:15.0,10.0] || -> . % 0.20/0.45 % SZS output end Refutation % 0.20/0.45 Formulae used in the proof : t119_zfmisc_1 t118_zfmisc_1 t1_xboole_1 % 0.20/0.45 %------------------------------------------------------------------------------