TSTP Solution File: SET086+1 by Drodi---3.5.1
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% File : Drodi---3.5.1
% Problem : SET086+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : 300s
% DateTime : Wed May 31 12:33:56 EDT 2023
% Result : Theorem 0.13s 0.52s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SET086+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n009.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 10:11:31 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 0.13/0.52 % Refutation found
% 0.13/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.52 fof(f44,conjecture,(
% 0.13/0.52 (! [X] :(? [U] :( ( member(U,universal_class)& X = singleton(U) )| ( ~ (? [Y] :( member(Y,universal_class)& X = singleton(Y) ))& U = X ) ) ))),
% 0.13/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.52 fof(f45,negated_conjecture,(
% 0.13/0.52 ~((! [X] :(? [U] :( ( member(U,universal_class)& X = singleton(U) )| ( ~ (? [Y] :( member(Y,universal_class)& X = singleton(Y) ))& U = X ) ) )))),
% 0.13/0.52 inference(negated_conjecture,[status(cth)],[f44])).
% 0.13/0.52 fof(f191,plain,(
% 0.13/0.52 (?[X]: ![U]: ((~member(U,universal_class)|~X=singleton(U))&((?[Y]: (member(Y,universal_class)&X=singleton(Y)))|~U=X)))),
% 0.13/0.52 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.13/0.52 fof(f192,plain,(
% 0.13/0.52 ?[X]: ((![U]: (~member(U,universal_class)|~X=singleton(U)))&((?[Y]: (member(Y,universal_class)&X=singleton(Y)))|(![U]: ~U=X)))),
% 0.13/0.52 inference(miniscoping,[status(esa)],[f191])).
% 0.13/0.52 fof(f193,plain,(
% 0.13/0.52 ((![U]: (~member(U,universal_class)|~sk0_7=singleton(U)))&((member(sk0_8,universal_class)&sk0_7=singleton(sk0_8))|(![U]: ~U=sk0_7)))),
% 0.13/0.52 inference(skolemization,[status(esa)],[f192])).
% 0.13/0.52 fof(f194,plain,(
% 0.13/0.52 ![X0]: (~member(X0,universal_class)|~sk0_7=singleton(X0))),
% 0.13/0.52 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.52 fof(f195,plain,(
% 0.13/0.52 ![X0]: (member(sk0_8,universal_class)|~X0=sk0_7)),
% 0.13/0.52 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.52 fof(f196,plain,(
% 0.13/0.52 ![X0]: (sk0_7=singleton(sk0_8)|~X0=sk0_7)),
% 0.13/0.52 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.52 fof(f197,plain,(
% 0.13/0.52 spl0_0 <=> member(sk0_8,universal_class)),
% 0.13/0.52 introduced(split_symbol_definition)).
% 0.13/0.52 fof(f198,plain,(
% 0.13/0.52 member(sk0_8,universal_class)|~spl0_0),
% 0.13/0.52 inference(component_clause,[status(thm)],[f197])).
% 0.13/0.52 fof(f200,plain,(
% 0.13/0.52 spl0_1 <=> ~X0=sk0_7),
% 0.13/0.52 introduced(split_symbol_definition)).
% 0.13/0.52 fof(f201,plain,(
% 0.13/0.52 ![X0]: (~X0=sk0_7|~spl0_1)),
% 0.13/0.52 inference(component_clause,[status(thm)],[f200])).
% 0.13/0.52 fof(f203,plain,(
% 0.13/0.52 spl0_0|spl0_1),
% 0.13/0.52 inference(split_clause,[status(thm)],[f195,f197,f200])).
% 0.13/0.52 fof(f204,plain,(
% 0.13/0.52 spl0_2 <=> sk0_7=singleton(sk0_8)),
% 0.13/0.52 introduced(split_symbol_definition)).
% 0.13/0.52 fof(f205,plain,(
% 0.13/0.52 sk0_7=singleton(sk0_8)|~spl0_2),
% 0.13/0.52 inference(component_clause,[status(thm)],[f204])).
% 0.13/0.52 fof(f207,plain,(
% 0.13/0.52 spl0_2|spl0_1),
% 0.13/0.52 inference(split_clause,[status(thm)],[f196,f204,f200])).
% 0.13/0.52 fof(f214,plain,(
% 0.13/0.52 $false|~spl0_1),
% 0.13/0.52 inference(destructive_equality_resolution,[status(esa)],[f201])).
% 0.13/0.52 fof(f215,plain,(
% 0.13/0.52 ~spl0_1),
% 0.13/0.52 inference(contradiction_clause,[status(thm)],[f214])).
% 0.13/0.52 fof(f284,plain,(
% 0.13/0.52 ~member(sk0_8,universal_class)|~spl0_2),
% 0.13/0.52 inference(resolution,[status(thm)],[f205,f194])).
% 0.13/0.52 fof(f285,plain,(
% 0.13/0.52 $false|~spl0_0|~spl0_2),
% 0.13/0.52 inference(forward_subsumption_resolution,[status(thm)],[f284,f198])).
% 0.13/0.52 fof(f286,plain,(
% 0.13/0.52 ~spl0_0|~spl0_2),
% 0.13/0.52 inference(contradiction_clause,[status(thm)],[f285])).
% 0.13/0.52 fof(f287,plain,(
% 0.13/0.52 $false),
% 0.13/0.52 inference(sat_refutation,[status(thm)],[f203,f207,f215,f286])).
% 0.13/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.52 % Elapsed time: 0.013586 seconds
% 0.13/0.52 % CPU time: 0.013183 seconds
% 0.13/0.52 % Memory used: 3.834 MB
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