%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SET062-7 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n007.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 05:23:22 EDT 2022 % Result : Unsatisfiable 0.21s 0.43s % Output : Refutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET062-7 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.03/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n007.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 : Sat Jul 9 18:01:16 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.43 % 0.21/0.43 SPASS V 3.9 % 0.21/0.43 SPASS beiseite: Proof found. % 0.21/0.43 % SZS status Theorem % 0.21/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.43 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 103 clauses. % 0.21/0.43 SPASS allocated 75743 KBytes. % 0.21/0.43 SPASS spent 0:00:00.07 on the problem. % 0.21/0.43 0:00:00.04 for the input. % 0.21/0.43 0:00:00.00 for the FLOTTER CNF translation. % 0.21/0.43 0:00:00.00 for inferences. % 0.21/0.43 0:00:00.00 for the backtracking. % 0.21/0.43 0:00:00.01 for the reduction. % 0.21/0.43 % 0.21/0.43 % 0.21/0.43 Here is a proof with depth 1, length 5 : % 0.21/0.43 % SZS output start Refutation % 0.21/0.43 12[0:Inp] || member(u,null_class)* -> . % 0.21/0.43 13[0:Inp] || subclass(null_class,x__dfg)*r -> . % 0.21/0.43 15[0:Inp] || -> subclass(u,v) member(not_subclass_element(u,v),u)*. % 0.21/0.43 108[0:Res:15.1,13.0] || -> member(not_subclass_element(null_class,x__dfg),null_class)*. % 0.21/0.43 110[0:MRR:108.0,12.0] || -> . % 0.21/0.43 % SZS output end Refutation % 0.21/0.43 Formulae used in the proof : existence_of_null_class prove_null_class_is_subclass_1 not_subclass_members1 % 0.21/0.43 %------------------------------------------------------------------------------