%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SET059-7 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n022.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 05:23:17 EDT 2022 % Result : Unsatisfiable 0.18s 0.42s % Output : Refutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SET059-7 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n022.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 Jul 9 16:31:55 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.42 % 0.18/0.42 SPASS V 3.9 % 0.18/0.42 SPASS beiseite: Proof found. % 0.18/0.42 % SZS status Theorem % 0.18/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.42 SPASS derived 16 clauses, backtracked 0 clauses, performed 0 splits and kept 113 clauses. % 0.18/0.42 SPASS allocated 75752 KBytes. % 0.18/0.42 SPASS spent 0:00:00.07 on the problem. % 0.18/0.42 0:00:00.04 for the input. % 0.18/0.42 0:00:00.00 for the FLOTTER CNF translation. % 0.18/0.42 0:00:00.00 for inferences. % 0.18/0.42 0:00:00.00 for the backtracking. % 0.18/0.42 0:00:00.01 for the reduction. % 0.18/0.42 % 0.18/0.42 % 0.18/0.42 Here is a proof with depth 1, length 9 : % 0.18/0.42 % SZS output start Refutation % 0.18/0.42 7[0:Inp] || -> member(not_subclass_element(x__dfg,y__dfg),y__dfg)*. % 0.18/0.42 8[0:Inp] || -> member(not_subclass_element(y__dfg,x__dfg),x__dfg)*. % 0.18/0.42 9[0:Inp] || equal(y__dfg,x__dfg)** -> . % 0.18/0.42 12[0:Inp] || member(not_subclass_element(u,v),v)* -> subclass(u,v). % 0.18/0.42 16[0:Inp] || subclass(u,v)* subclass(v,u)* -> equal(v,u). % 0.18/0.42 103[0:Res:16.2,9.0] || subclass(y__dfg,x__dfg)*l subclass(x__dfg,y__dfg) -> . % 0.18/0.42 109[0:Res:8.0,12.0] || -> subclass(y__dfg,x__dfg)*l. % 0.18/0.42 117[0:Res:7.0,12.0] || -> subclass(x__dfg,y__dfg)*r. % 0.18/0.42 125[0:MRR:103.0,103.1,109.0,117.0] || -> . % 0.18/0.42 % SZS output end Refutation % 0.18/0.42 Formulae used in the proof : prove_equality4_1 prove_equality4_2 prove_equality4_3 not_subclass_members2 subclass_implies_equal % 0.18/0.42 %------------------------------------------------------------------------------