%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU167+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n021.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 14:34:37 EDT 2022 % Result : Theorem 0.19s 0.43s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SEU167+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n021.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 : Sat Jun 18 19:50:32 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.43 % 0.19/0.43 SPASS V 3.9 % 0.19/0.43 SPASS beiseite: Proof found. % 0.19/0.43 % SZS status Theorem % 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.43 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses. % 0.19/0.43 SPASS allocated 85127 KBytes. % 0.19/0.43 SPASS spent 0:00:00.08 on the problem. % 0.19/0.43 0:00:00.03 for the input. % 0.19/0.43 0:00:00.03 for the FLOTTER CNF translation. % 0.19/0.43 0:00:00.00 for inferences. % 0.19/0.43 0:00:00.00 for the backtracking. % 0.19/0.43 0:00:00.00 for the reduction. % 0.19/0.43 % 0.19/0.43 % 0.19/0.43 Here is a proof with depth 2, length 10 : % 0.19/0.43 % SZS output start Refutation % 0.19/0.43 1[0:Inp] || -> subset(skc7,skc6)*r. % 0.19/0.43 2[0:Inp] || -> subset(skc4,skc5)*l. % 0.19/0.43 4[0:Inp] || subset(cartesian_product2(skc7,skc4),cartesian_product2(skc6,skc5))*r -> . % 0.19/0.43 5[0:Inp] || subset(u,v) -> subset(cartesian_product2(u,w),cartesian_product2(v,w))*. % 0.19/0.43 6[0:Inp] || subset(u,v) -> subset(cartesian_product2(w,u),cartesian_product2(w,v))*. % 0.19/0.43 7[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*. % 0.19/0.43 8[0:Res:2.0,6.0] || -> subset(cartesian_product2(u,skc4),cartesian_product2(u,skc5))*l. % 0.19/0.43 11[0:Res:1.0,5.0] || -> subset(cartesian_product2(skc7,u),cartesian_product2(skc6,u))*r. % 0.19/0.43 12[0:NCh:7.2,7.1,4.0,11.0] || subset(cartesian_product2(skc7,skc4),cartesian_product2(skc7,skc5))*l -> . % 0.19/0.43 13[0:MRR:12.0,8.0] || -> . % 0.19/0.43 % SZS output end Refutation % 0.19/0.43 Formulae used in the proof : t119_zfmisc_1 t118_zfmisc_1 t1_xboole_1 % 0.19/0.43 %------------------------------------------------------------------------------