%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n024.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 05:23:24 EDT 2022 % Result : Unsatisfiable 0.19s 0.41s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n024.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 : Sun Jul 10 19:18:43 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.41 % 0.19/0.41 SPASS V 3.9 % 0.19/0.41 SPASS beiseite: Proof found. % 0.19/0.41 % SZS status Theorem % 0.19/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 106 clauses. % 0.19/0.41 SPASS allocated 75757 KBytes. % 0.19/0.41 SPASS spent 0:00:00.07 on the problem. % 0.19/0.41 0:00:00.04 for the input. % 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation. % 0.19/0.41 0:00:00.00 for inferences. % 0.19/0.41 0:00:00.00 for the backtracking. % 0.19/0.41 0:00:00.01 for the reduction. % 0.19/0.41 % 0.19/0.41 % 0.19/0.41 Here is a proof with depth 1, length 9 : % 0.19/0.41 % SZS output start Refutation % 0.19/0.41 12[0:Inp] || member(u,null_class)* -> . % 0.19/0.41 14[0:Inp] || -> subclass(x__dfg,null_class)*l. % 0.19/0.41 15[0:Inp] || equal(x__dfg,null_class)** -> . % 0.19/0.41 16[0:Inp] || member(u,v)* subclass(v,w)* -> member(u,w)*. % 0.19/0.41 81[0:Inp] || -> equal(u,null_class) member(regular(u),u)*. % 0.19/0.41 111[0:Res:81.0,15.0] || -> member(regular(x__dfg),x__dfg)*. % 0.19/0.41 125[0:Res:14.0,16.0] || member(u,x__dfg)* -> member(u,null_class). % 0.19/0.41 127[0:MRR:125.1,12.0] || member(u,x__dfg)* -> . % 0.19/0.41 128[0:UnC:127.0,111.0] || -> . % 0.19/0.41 % SZS output end Refutation % 0.19/0.41 Formulae used in the proof : existence_of_null_class prove_corollary_of_null_class_is_subclass_1 prove_corollary_of_null_class_is_subclass_2 subclass_members regularity1 % 0.19/0.41 %------------------------------------------------------------------------------