TSTP Solution File: SEU336+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:36:44 EDT 2023
% Result : Theorem 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.31 % Computer : n018.cluster.edu
% 0.15/0.31 % Model : x86_64 x86_64
% 0.15/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31 % Memory : 8042.1875MB
% 0.15/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Tue May 30 09:23:40 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f1,axiom,(
% 0.16/0.47 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f17,axiom,(
% 0.16/0.47 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(powerset(the_carrier(A))))=> ( open_subsets(B,A)<=> (! [C] :( element(C,powerset(the_carrier(A)))=> ( in(C,B)=> open_subset(C,A) ) ) )) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f18,axiom,(
% 0.16/0.47 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(powerset(the_carrier(A))))=> ( closed_subsets(B,A)<=> (! [C] :( element(C,powerset(the_carrier(A)))=> ( in(C,B)=> closed_subset(C,A) ) ) )) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f19,axiom,(
% 0.16/0.47 (! [A,B] :( element(B,powerset(powerset(A)))=> (! [C] :( element(C,powerset(powerset(A)))=> ( C = complements_of_subsets(A,B)<=> (! [D] :( element(D,powerset(A))=> ( in(D,C)<=> in(subset_complement(A,D),B) ) ) )) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f23,axiom,(
% 0.16/0.47 (! [A,B] :( element(B,powerset(powerset(A)))=> element(complements_of_subsets(A,B),powerset(powerset(A))) ) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f34,axiom,(
% 0.16/0.47 (! [A,B] :( element(B,powerset(powerset(A)))=> complements_of_subsets(A,complements_of_subsets(A,B)) = B ) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f39,conjecture,(
% 0.16/0.47 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(powerset(the_carrier(A))))=> ( closed_subsets(B,A)<=> open_subsets(complements_of_subsets(the_carrier(A),B),A) ) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f40,negated_conjecture,(
% 0.16/0.47 ~((! [A] :( top_str(A)=> (! [B] :( element(B,powerset(powerset(the_carrier(A))))=> ( closed_subsets(B,A)<=> open_subsets(complements_of_subsets(the_carrier(A),B),A) ) ) )) ))),
% 0.16/0.47 inference(negated_conjecture,[status(cth)],[f39])).
% 0.16/0.47 fof(f41,axiom,(
% 0.16/0.47 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f42,axiom,(
% 0.16/0.47 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( closed_subset(B,A)<=> open_subset(subset_complement(the_carrier(A),B),A) ) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f44,axiom,(
% 0.16/0.47 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( open_subset(B,A)<=> closed_subset(subset_complement(the_carrier(A),B),A) ) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f46,axiom,(
% 0.16/0.47 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f51,plain,(
% 0.16/0.47 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.16/0.47 fof(f52,plain,(
% 0.16/0.47 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f51])).
% 0.16/0.47 fof(f107,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(powerset(the_carrier(A))))|(open_subsets(B,A)<=>(![C]: (~element(C,powerset(the_carrier(A)))|(~in(C,B)|open_subset(C,A))))))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.16/0.47 fof(f108,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(powerset(the_carrier(A))))|((~open_subsets(B,A)|(![C]: (~element(C,powerset(the_carrier(A)))|(~in(C,B)|open_subset(C,A)))))&(open_subsets(B,A)|(?[C]: (element(C,powerset(the_carrier(A)))&(in(C,B)&~open_subset(C,A)))))))))),
% 0.16/0.47 inference(NNF_transformation,[status(esa)],[f107])).
% 0.16/0.47 fof(f109,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(powerset(the_carrier(A))))|((~open_subsets(B,A)|(![C]: (~element(C,powerset(the_carrier(A)))|(~in(C,B)|open_subset(C,A)))))&(open_subsets(B,A)|(element(sk0_0(B,A),powerset(the_carrier(A)))&(in(sk0_0(B,A),B)&~open_subset(sk0_0(B,A),A))))))))),
% 0.16/0.47 inference(skolemization,[status(esa)],[f108])).
% 0.16/0.47 fof(f110,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|~open_subsets(X1,X0)|~element(X2,powerset(the_carrier(X0)))|~in(X2,X1)|open_subset(X2,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f109])).
% 0.16/0.47 fof(f112,plain,(
% 0.16/0.47 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|open_subsets(X1,X0)|in(sk0_0(X1,X0),X1))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f109])).
% 0.16/0.47 fof(f113,plain,(
% 0.16/0.47 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|open_subsets(X1,X0)|~open_subset(sk0_0(X1,X0),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f109])).
% 0.16/0.47 fof(f114,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(powerset(the_carrier(A))))|(closed_subsets(B,A)<=>(![C]: (~element(C,powerset(the_carrier(A)))|(~in(C,B)|closed_subset(C,A))))))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.16/0.47 fof(f115,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(powerset(the_carrier(A))))|((~closed_subsets(B,A)|(![C]: (~element(C,powerset(the_carrier(A)))|(~in(C,B)|closed_subset(C,A)))))&(closed_subsets(B,A)|(?[C]: (element(C,powerset(the_carrier(A)))&(in(C,B)&~closed_subset(C,A)))))))))),
% 0.16/0.47 inference(NNF_transformation,[status(esa)],[f114])).
% 0.16/0.47 fof(f116,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(powerset(the_carrier(A))))|((~closed_subsets(B,A)|(![C]: (~element(C,powerset(the_carrier(A)))|(~in(C,B)|closed_subset(C,A)))))&(closed_subsets(B,A)|(element(sk0_1(B,A),powerset(the_carrier(A)))&(in(sk0_1(B,A),B)&~closed_subset(sk0_1(B,A),A))))))))),
% 0.16/0.47 inference(skolemization,[status(esa)],[f115])).
% 0.16/0.47 fof(f117,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|~closed_subsets(X1,X0)|~element(X2,powerset(the_carrier(X0)))|~in(X2,X1)|closed_subset(X2,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f116])).
% 0.16/0.47 fof(f119,plain,(
% 0.16/0.47 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|closed_subsets(X1,X0)|in(sk0_1(X1,X0),X1))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f116])).
% 0.16/0.47 fof(f120,plain,(
% 0.16/0.47 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|closed_subsets(X1,X0)|~closed_subset(sk0_1(X1,X0),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f116])).
% 0.16/0.47 fof(f121,plain,(
% 0.16/0.47 ![A,B]: (~element(B,powerset(powerset(A)))|(![C]: (~element(C,powerset(powerset(A)))|(C=complements_of_subsets(A,B)<=>(![D]: (~element(D,powerset(A))|(in(D,C)<=>in(subset_complement(A,D),B))))))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.16/0.47 fof(f122,plain,(
% 0.16/0.47 ![A,B]: (~element(B,powerset(powerset(A)))|(![C]: (~element(C,powerset(powerset(A)))|((~C=complements_of_subsets(A,B)|(![D]: (~element(D,powerset(A))|((~in(D,C)|in(subset_complement(A,D),B))&(in(D,C)|~in(subset_complement(A,D),B))))))&(C=complements_of_subsets(A,B)|(?[D]: (element(D,powerset(A))&((~in(D,C)|~in(subset_complement(A,D),B))&(in(D,C)|in(subset_complement(A,D),B))))))))))),
% 0.16/0.47 inference(NNF_transformation,[status(esa)],[f121])).
% 0.16/0.47 fof(f123,plain,(
% 0.16/0.47 ![A,B]: (~element(B,powerset(powerset(A)))|(![C]: (~element(C,powerset(powerset(A)))|((~C=complements_of_subsets(A,B)|(![D]: (~element(D,powerset(A))|((~in(D,C)|in(subset_complement(A,D),B))&(in(D,C)|~in(subset_complement(A,D),B))))))&(C=complements_of_subsets(A,B)|(element(sk0_2(C,B,A),powerset(A))&((~in(sk0_2(C,B,A),C)|~in(subset_complement(A,sk0_2(C,B,A)),B))&(in(sk0_2(C,B,A),C)|in(subset_complement(A,sk0_2(C,B,A)),B)))))))))),
% 0.16/0.47 inference(skolemization,[status(esa)],[f122])).
% 0.16/0.47 fof(f124,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (~element(X0,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))|~X2=complements_of_subsets(X1,X0)|~element(X3,powerset(X1))|~in(X3,X2)|in(subset_complement(X1,X3),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f123])).
% 0.16/0.47 fof(f125,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (~element(X0,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))|~X2=complements_of_subsets(X1,X0)|~element(X3,powerset(X1))|in(X3,X2)|~in(subset_complement(X1,X3),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f123])).
% 0.16/0.47 fof(f131,plain,(
% 0.16/0.47 ![A,B]: (~element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.16/0.47 fof(f132,plain,(
% 0.16/0.47 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|element(complements_of_subsets(X1,X0),powerset(powerset(X1))))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f131])).
% 0.16/0.47 fof(f150,plain,(
% 0.16/0.47 ![A,B]: (~element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B)),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.16/0.47 fof(f151,plain,(
% 0.16/0.47 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|complements_of_subsets(X1,complements_of_subsets(X1,X0))=X0)),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f150])).
% 0.16/0.47 fof(f168,plain,(
% 0.16/0.47 (?[A]: (top_str(A)&(?[B]: (element(B,powerset(powerset(the_carrier(A))))&(closed_subsets(B,A)<~>open_subsets(complements_of_subsets(the_carrier(A),B),A))))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.16/0.47 fof(f169,plain,(
% 0.16/0.47 ?[A]: (top_str(A)&(?[B]: (element(B,powerset(powerset(the_carrier(A))))&((closed_subsets(B,A)|open_subsets(complements_of_subsets(the_carrier(A),B),A))&(~closed_subsets(B,A)|~open_subsets(complements_of_subsets(the_carrier(A),B),A))))))),
% 0.16/0.47 inference(NNF_transformation,[status(esa)],[f168])).
% 0.16/0.47 fof(f170,plain,(
% 0.16/0.47 (top_str(sk0_9)&(element(sk0_10,powerset(powerset(the_carrier(sk0_9))))&((closed_subsets(sk0_10,sk0_9)|open_subsets(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9))&(~closed_subsets(sk0_10,sk0_9)|~open_subsets(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)))))),
% 0.16/0.47 inference(skolemization,[status(esa)],[f169])).
% 0.16/0.47 fof(f171,plain,(
% 0.16/0.47 top_str(sk0_9)),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f170])).
% 0.16/0.47 fof(f172,plain,(
% 0.16/0.47 element(sk0_10,powerset(powerset(the_carrier(sk0_9))))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f170])).
% 0.16/0.47 fof(f173,plain,(
% 0.16/0.47 closed_subsets(sk0_10,sk0_9)|open_subsets(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f170])).
% 0.16/0.47 fof(f174,plain,(
% 0.16/0.47 ~closed_subsets(sk0_10,sk0_9)|~open_subsets(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f170])).
% 0.16/0.47 fof(f175,plain,(
% 0.16/0.47 ![A,B]: (~in(A,B)|element(A,B))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.16/0.47 fof(f176,plain,(
% 0.16/0.47 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f175])).
% 0.16/0.47 fof(f177,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(closed_subset(B,A)<=>open_subset(subset_complement(the_carrier(A),B),A)))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.16/0.47 fof(f178,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|((~closed_subset(B,A)|open_subset(subset_complement(the_carrier(A),B),A))&(closed_subset(B,A)|~open_subset(subset_complement(the_carrier(A),B),A))))))),
% 0.16/0.47 inference(NNF_transformation,[status(esa)],[f177])).
% 0.16/0.47 fof(f180,plain,(
% 0.16/0.47 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|closed_subset(X1,X0)|~open_subset(subset_complement(the_carrier(X0),X1),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f178])).
% 0.16/0.47 fof(f183,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(open_subset(B,A)<=>closed_subset(subset_complement(the_carrier(A),B),A)))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.16/0.47 fof(f184,plain,(
% 0.16/0.47 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|((~open_subset(B,A)|closed_subset(subset_complement(the_carrier(A),B),A))&(open_subset(B,A)|~closed_subset(subset_complement(the_carrier(A),B),A))))))),
% 0.16/0.47 inference(NNF_transformation,[status(esa)],[f183])).
% 0.16/0.47 fof(f186,plain,(
% 0.16/0.47 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|open_subset(X1,X0)|~closed_subset(subset_complement(the_carrier(X0),X1),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f184])).
% 0.16/0.47 fof(f191,plain,(
% 0.16/0.47 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.16/0.47 fof(f192,plain,(
% 0.16/0.47 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.16/0.47 inference(miniscoping,[status(esa)],[f191])).
% 0.16/0.47 fof(f193,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f192])).
% 0.16/0.47 fof(f205,plain,(
% 0.16/0.47 spl0_0 <=> closed_subsets(sk0_10,sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f206,plain,(
% 0.16/0.47 closed_subsets(sk0_10,sk0_9)|~spl0_0),
% 0.16/0.47 inference(component_clause,[status(thm)],[f205])).
% 0.16/0.47 fof(f207,plain,(
% 0.16/0.47 ~closed_subsets(sk0_10,sk0_9)|spl0_0),
% 0.16/0.47 inference(component_clause,[status(thm)],[f205])).
% 0.16/0.47 fof(f208,plain,(
% 0.16/0.47 spl0_1 <=> open_subsets(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f209,plain,(
% 0.16/0.47 open_subsets(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)|~spl0_1),
% 0.16/0.47 inference(component_clause,[status(thm)],[f208])).
% 0.16/0.47 fof(f210,plain,(
% 0.16/0.47 ~open_subsets(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)|spl0_1),
% 0.16/0.47 inference(component_clause,[status(thm)],[f208])).
% 0.16/0.47 fof(f211,plain,(
% 0.16/0.47 spl0_0|spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f173,f205,f208])).
% 0.16/0.47 fof(f212,plain,(
% 0.16/0.47 ~spl0_0|~spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f174,f205,f208])).
% 0.16/0.47 fof(f213,plain,(
% 0.16/0.47 complements_of_subsets(the_carrier(sk0_9),complements_of_subsets(the_carrier(sk0_9),sk0_10))=sk0_10),
% 0.16/0.47 inference(resolution,[status(thm)],[f151,f172])).
% 0.16/0.47 fof(f214,plain,(
% 0.16/0.47 element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(powerset(the_carrier(sk0_9))))),
% 0.16/0.47 inference(resolution,[status(thm)],[f132,f172])).
% 0.16/0.47 fof(f246,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (~in(X0,X1)|~element(X2,powerset(powerset(X3)))|~element(X0,powerset(powerset(X3)))|~X0=complements_of_subsets(X3,X2)|~element(X1,powerset(X3))|~in(subset_complement(X3,X1),X2))),
% 0.16/0.47 inference(resolution,[status(thm)],[f52,f125])).
% 0.16/0.47 fof(f248,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (element(X0,X1)|~element(X2,powerset(powerset(X3)))|~element(X1,powerset(powerset(X3)))|~X1=complements_of_subsets(X3,X2)|~element(X0,powerset(X3))|~in(subset_complement(X3,X0),X2))),
% 0.16/0.47 inference(resolution,[status(thm)],[f176,f125])).
% 0.16/0.47 fof(f727,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|~closed_subsets(X1,X0)|~in(X2,X1)|closed_subset(X2,X0))),
% 0.16/0.47 inference(backward_subsumption_resolution,[status(thm)],[f117,f193])).
% 0.16/0.47 fof(f728,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|~open_subsets(X1,X0)|~in(X2,X1)|open_subset(X2,X0))),
% 0.16/0.47 inference(backward_subsumption_resolution,[status(thm)],[f110,f193])).
% 0.16/0.47 fof(f729,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (~element(X0,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))|~X2=complements_of_subsets(X1,X0)|~in(X3,X2)|in(subset_complement(X1,X3),X0))),
% 0.16/0.47 inference(backward_subsumption_resolution,[status(thm)],[f124,f193])).
% 0.16/0.47 fof(f731,plain,(
% 0.16/0.47 spl0_2 <=> top_str(sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f733,plain,(
% 0.16/0.47 ~top_str(sk0_9)|spl0_2),
% 0.16/0.47 inference(component_clause,[status(thm)],[f731])).
% 0.16/0.47 fof(f734,plain,(
% 0.16/0.47 spl0_3 <=> element(sk0_10,powerset(powerset(the_carrier(sk0_9))))),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f736,plain,(
% 0.16/0.47 ~element(sk0_10,powerset(powerset(the_carrier(sk0_9))))|spl0_3),
% 0.16/0.47 inference(component_clause,[status(thm)],[f734])).
% 0.16/0.47 fof(f737,plain,(
% 0.16/0.47 spl0_4 <=> in(sk0_1(sk0_10,sk0_9),sk0_10)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f738,plain,(
% 0.16/0.47 in(sk0_1(sk0_10,sk0_9),sk0_10)|~spl0_4),
% 0.16/0.47 inference(component_clause,[status(thm)],[f737])).
% 0.16/0.47 fof(f740,plain,(
% 0.16/0.47 ~top_str(sk0_9)|~element(sk0_10,powerset(powerset(the_carrier(sk0_9))))|in(sk0_1(sk0_10,sk0_9),sk0_10)|spl0_0),
% 0.16/0.47 inference(resolution,[status(thm)],[f119,f207])).
% 0.16/0.47 fof(f741,plain,(
% 0.16/0.47 ~spl0_2|~spl0_3|spl0_4|spl0_0),
% 0.16/0.47 inference(split_clause,[status(thm)],[f740,f731,f734,f737,f205])).
% 0.16/0.47 fof(f748,plain,(
% 0.16/0.47 spl0_5 <=> ~in(X0,sk0_10)|closed_subset(X0,sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f749,plain,(
% 0.16/0.47 ![X0]: (~in(X0,sk0_10)|closed_subset(X0,sk0_9)|~spl0_5)),
% 0.16/0.47 inference(component_clause,[status(thm)],[f748])).
% 0.16/0.47 fof(f751,plain,(
% 0.16/0.47 ![X0]: (~top_str(sk0_9)|~element(sk0_10,powerset(powerset(the_carrier(sk0_9))))|~in(X0,sk0_10)|closed_subset(X0,sk0_9)|~spl0_0)),
% 0.16/0.47 inference(resolution,[status(thm)],[f206,f727])).
% 0.16/0.47 fof(f752,plain,(
% 0.16/0.47 ~spl0_2|~spl0_3|spl0_5|~spl0_0),
% 0.16/0.47 inference(split_clause,[status(thm)],[f751,f731,f734,f748,f205])).
% 0.16/0.47 fof(f753,plain,(
% 0.16/0.47 $false|spl0_3),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f736,f172])).
% 0.16/0.47 fof(f754,plain,(
% 0.16/0.47 spl0_3),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f753])).
% 0.16/0.47 fof(f755,plain,(
% 0.16/0.47 $false|spl0_2),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f733,f171])).
% 0.16/0.47 fof(f756,plain,(
% 0.16/0.47 spl0_2),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f755])).
% 0.16/0.47 fof(f758,plain,(
% 0.16/0.47 spl0_6 <=> element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(powerset(the_carrier(sk0_9))))),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f760,plain,(
% 0.16/0.47 ~element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(powerset(the_carrier(sk0_9))))|spl0_6),
% 0.16/0.47 inference(component_clause,[status(thm)],[f758])).
% 0.16/0.47 fof(f761,plain,(
% 0.16/0.47 spl0_7 <=> in(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),complements_of_subsets(the_carrier(sk0_9),sk0_10))),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f762,plain,(
% 0.16/0.47 in(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),complements_of_subsets(the_carrier(sk0_9),sk0_10))|~spl0_7),
% 0.16/0.47 inference(component_clause,[status(thm)],[f761])).
% 0.16/0.47 fof(f764,plain,(
% 0.16/0.47 ~top_str(sk0_9)|~element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(powerset(the_carrier(sk0_9))))|in(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),complements_of_subsets(the_carrier(sk0_9),sk0_10))|spl0_1),
% 0.16/0.47 inference(resolution,[status(thm)],[f210,f112])).
% 0.16/0.47 fof(f765,plain,(
% 0.16/0.47 ~spl0_2|~spl0_6|spl0_7|spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f764,f731,f758,f761,f208])).
% 0.16/0.47 fof(f768,plain,(
% 0.16/0.47 spl0_8 <=> ~in(X0,complements_of_subsets(the_carrier(sk0_9),sk0_10))|open_subset(X0,sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f769,plain,(
% 0.16/0.47 ![X0]: (~in(X0,complements_of_subsets(the_carrier(sk0_9),sk0_10))|open_subset(X0,sk0_9)|~spl0_8)),
% 0.16/0.47 inference(component_clause,[status(thm)],[f768])).
% 0.16/0.47 fof(f771,plain,(
% 0.16/0.47 ![X0]: (~top_str(sk0_9)|~element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(powerset(the_carrier(sk0_9))))|~in(X0,complements_of_subsets(the_carrier(sk0_9),sk0_10))|open_subset(X0,sk0_9)|~spl0_1)),
% 0.16/0.47 inference(resolution,[status(thm)],[f209,f728])).
% 0.16/0.47 fof(f772,plain,(
% 0.16/0.47 ~spl0_2|~spl0_6|spl0_8|~spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f771,f731,f758,f768,f208])).
% 0.16/0.47 fof(f773,plain,(
% 0.16/0.47 $false|spl0_6),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f760,f214])).
% 0.16/0.47 fof(f774,plain,(
% 0.16/0.47 spl0_6),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f773])).
% 0.16/0.47 fof(f783,plain,(
% 0.16/0.47 ![X0]: (~element(sk0_10,powerset(X0))|element(sk0_1(sk0_10,sk0_9),X0)|~spl0_4)),
% 0.16/0.47 inference(resolution,[status(thm)],[f738,f193])).
% 0.16/0.47 fof(f790,plain,(
% 0.16/0.47 ![X0]: (~element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(X0))|element(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),X0)|~spl0_7)),
% 0.16/0.47 inference(resolution,[status(thm)],[f762,f193])).
% 0.16/0.47 fof(f794,plain,(
% 0.16/0.47 element(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),powerset(the_carrier(sk0_9)))|~spl0_7),
% 0.16/0.47 inference(resolution,[status(thm)],[f790,f214])).
% 0.16/0.47 fof(f796,plain,(
% 0.16/0.47 spl0_9 <=> open_subset(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f797,plain,(
% 0.16/0.47 open_subset(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),sk0_9)|~spl0_9),
% 0.16/0.47 inference(component_clause,[status(thm)],[f796])).
% 0.16/0.47 fof(f1250,plain,(
% 0.16/0.47 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|~element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(powerset(X1)))|~complements_of_subsets(the_carrier(sk0_9),sk0_10)=complements_of_subsets(X1,X0)|in(subset_complement(X1,sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)),X0)|~spl0_7)),
% 0.16/0.47 inference(resolution,[status(thm)],[f729,f762])).
% 0.16/0.47 fof(f1336,plain,(
% 0.16/0.47 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_9))))|~complements_of_subsets(the_carrier(sk0_9),sk0_10)=complements_of_subsets(the_carrier(sk0_9),X0)|in(subset_complement(the_carrier(sk0_9),sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)),X0)|~spl0_7)),
% 0.16/0.47 inference(resolution,[status(thm)],[f1250,f214])).
% 0.16/0.47 fof(f1343,plain,(
% 0.16/0.47 spl0_12 <=> element(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),powerset(the_carrier(sk0_9)))),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1345,plain,(
% 0.16/0.47 ~element(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),powerset(the_carrier(sk0_9)))|spl0_12),
% 0.16/0.47 inference(component_clause,[status(thm)],[f1343])).
% 0.16/0.47 fof(f1360,plain,(
% 0.16/0.47 spl0_15 <=> complements_of_subsets(the_carrier(sk0_9),sk0_10)=complements_of_subsets(the_carrier(sk0_9),sk0_10)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1362,plain,(
% 0.16/0.47 ~complements_of_subsets(the_carrier(sk0_9),sk0_10)=complements_of_subsets(the_carrier(sk0_9),sk0_10)|spl0_15),
% 0.16/0.47 inference(component_clause,[status(thm)],[f1360])).
% 0.16/0.47 fof(f1363,plain,(
% 0.16/0.47 spl0_16 <=> closed_subset(subset_complement(the_carrier(sk0_9),sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)),sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1364,plain,(
% 0.16/0.47 closed_subset(subset_complement(the_carrier(sk0_9),sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)),sk0_9)|~spl0_16),
% 0.16/0.47 inference(component_clause,[status(thm)],[f1363])).
% 0.16/0.47 fof(f1366,plain,(
% 0.16/0.47 ~element(sk0_10,powerset(powerset(the_carrier(sk0_9))))|~complements_of_subsets(the_carrier(sk0_9),sk0_10)=complements_of_subsets(the_carrier(sk0_9),sk0_10)|closed_subset(subset_complement(the_carrier(sk0_9),sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)),sk0_9)|~spl0_7|~spl0_5),
% 0.16/0.47 inference(resolution,[status(thm)],[f1336,f749])).
% 0.16/0.47 fof(f1367,plain,(
% 0.16/0.47 ~spl0_3|~spl0_15|spl0_16|~spl0_7|~spl0_5),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1366,f734,f1360,f1363,f761,f748])).
% 0.16/0.47 fof(f1375,plain,(
% 0.16/0.47 $false|~spl0_7|spl0_12),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1345,f794])).
% 0.16/0.47 fof(f1376,plain,(
% 0.16/0.47 ~spl0_7|spl0_12),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f1375])).
% 0.16/0.47 fof(f1380,plain,(
% 0.16/0.47 $false|spl0_15),
% 0.16/0.47 inference(equality_resolution,[status(esa)],[f1362])).
% 0.16/0.47 fof(f1381,plain,(
% 0.16/0.47 spl0_15),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f1380])).
% 0.16/0.47 fof(f1382,plain,(
% 0.16/0.47 ~top_str(sk0_9)|~element(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),powerset(the_carrier(sk0_9)))|open_subset(sk0_0(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9),sk0_9)|~spl0_16),
% 0.16/0.47 inference(resolution,[status(thm)],[f1364,f186])).
% 0.16/0.47 fof(f1383,plain,(
% 0.16/0.47 ~spl0_2|~spl0_12|spl0_9|~spl0_16),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1382,f731,f1343,f796,f1363])).
% 0.16/0.47 fof(f1384,plain,(
% 0.16/0.47 ~top_str(sk0_9)|~element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(powerset(the_carrier(sk0_9))))|open_subsets(complements_of_subsets(the_carrier(sk0_9),sk0_10),sk0_9)|~spl0_9),
% 0.16/0.47 inference(resolution,[status(thm)],[f797,f113])).
% 0.16/0.47 fof(f1385,plain,(
% 0.16/0.47 ~spl0_2|~spl0_6|spl0_1|~spl0_9),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1384,f731,f758,f208,f796])).
% 0.16/0.47 fof(f1390,plain,(
% 0.16/0.47 spl0_17 <=> ~in(subset_complement(the_carrier(sk0_9),X0),complements_of_subsets(the_carrier(sk0_9),sk0_10))|~element(X0,powerset(the_carrier(sk0_9)))|closed_subset(X0,sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1391,plain,(
% 0.16/0.47 ![X0]: (~in(subset_complement(the_carrier(sk0_9),X0),complements_of_subsets(the_carrier(sk0_9),sk0_10))|~element(X0,powerset(the_carrier(sk0_9)))|closed_subset(X0,sk0_9)|~spl0_17)),
% 0.16/0.47 inference(component_clause,[status(thm)],[f1390])).
% 0.16/0.47 fof(f1393,plain,(
% 0.16/0.47 ![X0]: (~in(subset_complement(the_carrier(sk0_9),X0),complements_of_subsets(the_carrier(sk0_9),sk0_10))|~top_str(sk0_9)|~element(X0,powerset(the_carrier(sk0_9)))|closed_subset(X0,sk0_9)|~spl0_8)),
% 0.16/0.47 inference(resolution,[status(thm)],[f769,f180])).
% 0.16/0.47 fof(f1394,plain,(
% 0.16/0.47 spl0_17|~spl0_2|~spl0_8),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1393,f1390,f731,f768])).
% 0.16/0.47 fof(f1401,plain,(
% 0.16/0.47 ![X0,X1]: (~element(X0,powerset(powerset(X1)))|~element(sk0_10,powerset(powerset(X1)))|~sk0_10=complements_of_subsets(X1,X0)|in(subset_complement(X1,sk0_1(sk0_10,sk0_9)),X0)|~spl0_4)),
% 0.16/0.47 inference(resolution,[status(thm)],[f738,f729])).
% 0.16/0.47 fof(f1408,plain,(
% 0.16/0.47 element(sk0_1(sk0_10,sk0_9),powerset(the_carrier(sk0_9)))|~spl0_4),
% 0.16/0.47 inference(resolution,[status(thm)],[f783,f172])).
% 0.16/0.47 fof(f1412,plain,(
% 0.16/0.47 spl0_19 <=> closed_subset(sk0_1(sk0_10,sk0_9),sk0_9)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1413,plain,(
% 0.16/0.47 closed_subset(sk0_1(sk0_10,sk0_9),sk0_9)|~spl0_19),
% 0.16/0.47 inference(component_clause,[status(thm)],[f1412])).
% 0.16/0.47 fof(f1417,plain,(
% 0.16/0.47 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_9))))|~sk0_10=complements_of_subsets(the_carrier(sk0_9),X0)|in(subset_complement(the_carrier(sk0_9),sk0_1(sk0_10,sk0_9)),X0)|~spl0_4)),
% 0.16/0.47 inference(resolution,[status(thm)],[f1401,f172])).
% 0.16/0.47 fof(f1418,plain,(
% 0.16/0.47 spl0_20 <=> sk0_10=complements_of_subsets(the_carrier(sk0_9),complements_of_subsets(the_carrier(sk0_9),sk0_10))),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1420,plain,(
% 0.16/0.47 ~sk0_10=complements_of_subsets(the_carrier(sk0_9),complements_of_subsets(the_carrier(sk0_9),sk0_10))|spl0_20),
% 0.16/0.47 inference(component_clause,[status(thm)],[f1418])).
% 0.16/0.47 fof(f1421,plain,(
% 0.16/0.47 spl0_21 <=> element(sk0_1(sk0_10,sk0_9),powerset(the_carrier(sk0_9)))),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1423,plain,(
% 0.16/0.47 ~element(sk0_1(sk0_10,sk0_9),powerset(the_carrier(sk0_9)))|spl0_21),
% 0.16/0.47 inference(component_clause,[status(thm)],[f1421])).
% 0.16/0.47 fof(f1424,plain,(
% 0.16/0.47 ~element(complements_of_subsets(the_carrier(sk0_9),sk0_10),powerset(powerset(the_carrier(sk0_9))))|~sk0_10=complements_of_subsets(the_carrier(sk0_9),complements_of_subsets(the_carrier(sk0_9),sk0_10))|~element(sk0_1(sk0_10,sk0_9),powerset(the_carrier(sk0_9)))|closed_subset(sk0_1(sk0_10,sk0_9),sk0_9)|~spl0_4|~spl0_17),
% 0.16/0.47 inference(resolution,[status(thm)],[f1417,f1391])).
% 0.16/0.47 fof(f1425,plain,(
% 0.16/0.47 ~spl0_6|~spl0_20|~spl0_21|spl0_19|~spl0_4|~spl0_17),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1424,f758,f1418,f1421,f1412,f737,f1390])).
% 0.16/0.47 fof(f1426,plain,(
% 0.16/0.47 spl0_22 <=> ~element(X0,powerset(powerset(the_carrier(sk0_9))))|~sk0_10=complements_of_subsets(the_carrier(sk0_9),X0)|~in(X1,sk0_1(sk0_10,sk0_9))|~element(X0,powerset(powerset(the_carrier(sk0_9))))|~element(X1,powerset(powerset(the_carrier(sk0_9))))|~X1=complements_of_subsets(the_carrier(sk0_9),X0)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1429,plain,(
% 0.16/0.47 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_9))))|~sk0_10=complements_of_subsets(the_carrier(sk0_9),X0)|~in(X1,sk0_1(sk0_10,sk0_9))|~element(X0,powerset(powerset(the_carrier(sk0_9))))|~element(X1,powerset(powerset(the_carrier(sk0_9))))|~X1=complements_of_subsets(the_carrier(sk0_9),X0)|~element(sk0_1(sk0_10,sk0_9),powerset(the_carrier(sk0_9)))|~spl0_4)),
% 0.16/0.47 inference(resolution,[status(thm)],[f1417,f246])).
% 0.16/0.47 fof(f1430,plain,(
% 0.16/0.47 spl0_22|~spl0_21|~spl0_4),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1429,f1426,f1421,f737])).
% 0.16/0.47 fof(f1431,plain,(
% 0.16/0.47 spl0_23 <=> ~element(X0,powerset(powerset(the_carrier(sk0_9))))|~sk0_10=complements_of_subsets(the_carrier(sk0_9),X0)|element(sk0_1(sk0_10,sk0_9),X1)|~element(X0,powerset(powerset(the_carrier(sk0_9))))|~element(X1,powerset(powerset(the_carrier(sk0_9))))|~X1=complements_of_subsets(the_carrier(sk0_9),X0)),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1434,plain,(
% 0.16/0.47 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_9))))|~sk0_10=complements_of_subsets(the_carrier(sk0_9),X0)|element(sk0_1(sk0_10,sk0_9),X1)|~element(X0,powerset(powerset(the_carrier(sk0_9))))|~element(X1,powerset(powerset(the_carrier(sk0_9))))|~X1=complements_of_subsets(the_carrier(sk0_9),X0)|~element(sk0_1(sk0_10,sk0_9),powerset(the_carrier(sk0_9)))|~spl0_4)),
% 0.16/0.47 inference(resolution,[status(thm)],[f1417,f248])).
% 0.16/0.47 fof(f1435,plain,(
% 0.16/0.47 spl0_23|~spl0_21|~spl0_4),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1434,f1431,f1421,f737])).
% 0.16/0.47 fof(f1445,plain,(
% 0.16/0.47 $false|~spl0_4|spl0_21),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1423,f1408])).
% 0.16/0.47 fof(f1446,plain,(
% 0.16/0.47 ~spl0_4|spl0_21),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f1445])).
% 0.16/0.47 fof(f1447,plain,(
% 0.16/0.47 $false|spl0_20),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1420,f213])).
% 0.16/0.47 fof(f1448,plain,(
% 0.16/0.47 spl0_20),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f1447])).
% 0.16/0.47 fof(f1451,plain,(
% 0.16/0.47 ~top_str(sk0_9)|~element(sk0_10,powerset(powerset(the_carrier(sk0_9))))|closed_subsets(sk0_10,sk0_9)|~spl0_19),
% 0.16/0.47 inference(resolution,[status(thm)],[f1413,f120])).
% 0.16/0.48 fof(f1452,plain,(
% 0.16/0.48 ~spl0_2|~spl0_3|spl0_0|~spl0_19),
% 0.16/0.48 inference(split_clause,[status(thm)],[f1451,f731,f734,f205,f1412])).
% 0.16/0.48 fof(f1453,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(sat_refutation,[status(thm)],[f211,f212,f741,f752,f754,f756,f765,f772,f774,f1367,f1376,f1381,f1383,f1385,f1394,f1425,f1430,f1435,f1446,f1448,f1452])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.49 % Elapsed time: 0.171416 seconds
% 0.16/0.49 % CPU time: 0.826332 seconds
% 0.16/0.49 % Memory used: 65.391 MB
%------------------------------------------------------------------------------