%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SEU294+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n028.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 14:35:56 EDT 2022 % Result : Theorem 44.06s 44.31s % Output : Refutation 44.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SEU294+2 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n028.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 : Mon Jun 20 12:46:46 EDT 2022 % 0.12/0.33 % CPUTime : % 44.06/44.31 % 44.06/44.31 SPASS V 3.9 % 44.06/44.31 SPASS beiseite: Proof found. % 44.06/44.31 % SZS status Theorem % 44.06/44.31 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 44.06/44.31 SPASS derived 53 clauses, backtracked 0 clauses, performed 0 splits and kept 912 clauses. % 44.06/44.31 SPASS allocated 146003 KBytes. % 44.06/44.31 SPASS spent 0:0:43.94 on the problem. % 44.06/44.31 0:00:00.04 for the input. % 44.06/44.31 0:0:43.54 for the FLOTTER CNF translation. % 44.06/44.31 0:00:00.00 for inferences. % 44.06/44.31 0:00:00.00 for the backtracking. % 44.06/44.31 0:00:00.23 for the reduction. % 44.06/44.31 % 44.06/44.31 % 44.06/44.31 Here is a proof with depth 2, length 9 : % 44.06/44.31 % SZS output start Refutation % 44.06/44.31 1[0:Inp] || -> finite(skc18)*. % 44.06/44.31 56[0:Inp] || -> subset(skc19,skc18)*l. % 44.06/44.31 57[0:Inp] || finite(skc19)* -> . % 44.06/44.31 277[0:Inp] || subset(u,v) -> element(u,powerset(v))*. % 44.06/44.31 343[0:Inp] finite(u) || element(v,powerset(u))* -> finite(v). % 44.06/44.31 1011[0:Res:343.2,57.0] finite(u) || element(skc19,powerset(u))* -> . % 44.06/44.31 1036[0:Res:56.0,277.0] || -> element(skc19,powerset(skc18))*. % 44.06/44.31 1050[0:Res:1.0,1011.0] || element(skc19,powerset(skc18))* -> . % 44.06/44.31 1058[0:MRR:1050.0,1036.0] || -> . % 44.06/44.31 % SZS output end Refutation % 44.06/44.31 Formulae used in the proof : t13_finset_1 t3_subset cc2_finset_1 % 44.06/44.31 %------------------------------------------------------------------------------