TSTP Solution File: SEU314+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:36:40 EDT 2023
% Result : Theorem 1.27s 0.59s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.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 : 300
% 0.13/0.34 % DateTime : Tue May 30 09:35:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 1.27/0.59 % Refutation found
% 1.27/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.27/0.59 % SZS output start CNFRefutation for theBenchmark
% 1.27/0.59 fof(f1,conjecture,(
% 1.27/0.59 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(the_carrier(A))) )=> (? [C] :(! [D] :( in(D,C)<=> ( in(D,powerset(the_carrier(A)))& (? [E] :( element(E,powerset(the_carrier(A)))& E = D& closed_subset(E,A)& subset(B,D) ) )) ) ))) )),
% 1.27/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.59 fof(f2,negated_conjecture,(
% 1.27/0.59 ~((! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(the_carrier(A))) )=> (? [C] :(! [D] :( in(D,C)<=> ( in(D,powerset(the_carrier(A)))& (? [E] :( element(E,powerset(the_carrier(A)))& E = D& closed_subset(E,A)& subset(B,D) ) )) ) ))) ))),
% 1.27/0.59 inference(negated_conjecture,[status(cth)],[f1])).
% 1.27/0.59 fof(f20,axiom,(
% 1.27/0.59 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 1.27/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.59 fof(f28,axiom,(
% 1.27/0.59 (! [A] :( ( topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& closed_subset(B,A) ) )) )),
% 1.27/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.59 fof(f30,axiom,(
% 1.27/0.59 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(the_carrier(A))) )=> ( (! [C,D,E] :( ( C = D& (? [F] :( element(F,powerset(the_carrier(A)))& F = D& closed_subset(F,A)& subset(B,D) ))& C = E& (? [G] :( element(G,powerset(the_carrier(A)))& G = E& closed_subset(G,A)& subset(B,E) ) ))=> D = E ))=> (? [C] :(! [D] :( in(D,C)<=> (? [E] :( in(E,powerset(the_carrier(A)))& E = D& (? [H] :( element(H,powerset(the_carrier(A)))& H = D& closed_subset(H,A)& subset(B,D) ) )) )) ))) ) )),
% 1.27/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.59 fof(f31,plain,(
% 1.27/0.59 (?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(the_carrier(A))))&(![C]: ?[D]: (in(D,C)<~>(in(D,powerset(the_carrier(A)))&(?[E]: (((element(E,powerset(the_carrier(A)))&E=D)&closed_subset(E,A))&subset(B,D))))))))),
% 1.27/0.59 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.27/0.59 fof(f32,plain,(
% 1.27/0.59 ?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(the_carrier(A))))&(![C]: ?[D]: ((in(D,C)|(in(D,powerset(the_carrier(A)))&(?[E]: (((element(E,powerset(the_carrier(A)))&E=D)&closed_subset(E,A))&subset(B,D)))))&(~in(D,C)|(~in(D,powerset(the_carrier(A)))|(![E]: (((~element(E,powerset(the_carrier(A)))|~E=D)|~closed_subset(E,A))|~subset(B,D))))))))),
% 1.27/0.59 inference(NNF_transformation,[status(esa)],[f31])).
% 1.27/0.59 fof(f33,plain,(
% 1.27/0.59 ?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(the_carrier(A))))&(![C]: ?[D]: ((in(D,C)|(in(D,powerset(the_carrier(A)))&((?[E]: ((element(E,powerset(the_carrier(A)))&E=D)&closed_subset(E,A)))&subset(B,D))))&(~in(D,C)|(~in(D,powerset(the_carrier(A)))|((![E]: ((~element(E,powerset(the_carrier(A)))|~E=D)|~closed_subset(E,A)))|~subset(B,D)))))))),
% 1.27/0.59 inference(miniscoping,[status(esa)],[f32])).
% 1.27/0.59 fof(f34,plain,(
% 1.27/0.59 (((topological_space(sk0_0)&top_str(sk0_0))&element(sk0_1,powerset(the_carrier(sk0_0))))&(![C]: ((in(sk0_2(C),C)|(in(sk0_2(C),powerset(the_carrier(sk0_0)))&(((element(sk0_3(C),powerset(the_carrier(sk0_0)))&sk0_3(C)=sk0_2(C))&closed_subset(sk0_3(C),sk0_0))&subset(sk0_1,sk0_2(C)))))&(~in(sk0_2(C),C)|(~in(sk0_2(C),powerset(the_carrier(sk0_0)))|((![E]: ((~element(E,powerset(the_carrier(sk0_0)))|~E=sk0_2(C))|~closed_subset(E,sk0_0)))|~subset(sk0_1,sk0_2(C))))))))),
% 1.27/0.59 inference(skolemization,[status(esa)],[f33])).
% 1.27/0.59 fof(f35,plain,(
% 1.27/0.59 topological_space(sk0_0)),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f36,plain,(
% 1.27/0.59 top_str(sk0_0)),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f37,plain,(
% 1.27/0.59 element(sk0_1,powerset(the_carrier(sk0_0)))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f38,plain,(
% 1.27/0.59 ![X0]: (in(sk0_2(X0),X0)|in(sk0_2(X0),powerset(the_carrier(sk0_0))))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f39,plain,(
% 1.27/0.59 ![X0]: (in(sk0_2(X0),X0)|element(sk0_3(X0),powerset(the_carrier(sk0_0))))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f40,plain,(
% 1.27/0.59 ![X0]: (in(sk0_2(X0),X0)|sk0_3(X0)=sk0_2(X0))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f41,plain,(
% 1.27/0.59 ![X0]: (in(sk0_2(X0),X0)|closed_subset(sk0_3(X0),sk0_0))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f42,plain,(
% 1.27/0.59 ![X0]: (in(sk0_2(X0),X0)|subset(sk0_1,sk0_2(X0)))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f43,plain,(
% 1.27/0.59 ![X0,X1]: (~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~element(X1,powerset(the_carrier(sk0_0)))|~X1=sk0_2(X0)|~closed_subset(X1,sk0_0)|~subset(sk0_1,sk0_2(X0)))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 1.27/0.59 fof(f103,plain,(
% 1.27/0.59 ![A]: (element(sk0_6(A),powerset(A))&empty(sk0_6(A)))),
% 1.27/0.59 inference(skolemization,[status(esa)],[f20])).
% 1.27/0.59 fof(f104,plain,(
% 1.27/0.59 ![X0]: (element(sk0_6(X0),powerset(X0)))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f103])).
% 1.27/0.59 fof(f118,plain,(
% 1.27/0.59 ![A]: ((~topological_space(A)|~top_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&closed_subset(B,A))))),
% 1.27/0.59 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 1.27/0.59 fof(f119,plain,(
% 1.27/0.59 ![A]: ((~topological_space(A)|~top_str(A))|(element(sk0_7(A),powerset(the_carrier(A)))&closed_subset(sk0_7(A),A)))),
% 1.27/0.59 inference(skolemization,[status(esa)],[f118])).
% 1.27/0.59 fof(f120,plain,(
% 1.27/0.59 ![X0]: (~topological_space(X0)|~top_str(X0)|element(sk0_7(X0),powerset(the_carrier(X0))))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f119])).
% 1.27/0.59 fof(f121,plain,(
% 1.27/0.59 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(sk0_7(X0),X0))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f119])).
% 1.27/0.59 fof(f123,plain,(
% 1.27/0.59 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(the_carrier(A))))|((?[C,D,E]: ((((C=D&(?[F]: (((element(F,powerset(the_carrier(A)))&F=D)&closed_subset(F,A))&subset(B,D))))&C=E)&(?[G]: (((element(G,powerset(the_carrier(A)))&G=E)&closed_subset(G,A))&subset(B,E))))&~D=E))|(?[C]: ![D]: (in(D,C)<=>(?[E]: ((in(E,powerset(the_carrier(A)))&E=D)&(?[H]: (((element(H,powerset(the_carrier(A)))&H=D)&closed_subset(H,A))&subset(B,D)))))))))),
% 1.27/0.59 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 1.27/0.59 fof(f124,plain,(
% 1.27/0.59 ![A,B,C,D,E]: (pd0_0(E,D,C,B,A)=>((((C=D&(?[F]: (((element(F,powerset(the_carrier(A)))&F=D)&closed_subset(F,A))&subset(B,D))))&C=E)&(?[G]: (((element(G,powerset(the_carrier(A)))&G=E)&closed_subset(G,A))&subset(B,E))))&~D=E))),
% 1.27/0.59 introduced(predicate_definition,[f123])).
% 1.27/0.59 fof(f125,plain,(
% 1.27/0.59 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(the_carrier(A))))|((?[C,D,E]: pd0_0(E,D,C,B,A))|(?[C]: ![D]: (in(D,C)<=>(?[E]: ((in(E,powerset(the_carrier(A)))&E=D)&(?[H]: (((element(H,powerset(the_carrier(A)))&H=D)&closed_subset(H,A))&subset(B,D)))))))))),
% 1.27/0.59 inference(formula_renaming,[status(thm)],[f123,f124])).
% 1.27/0.59 fof(f126,plain,(
% 1.27/0.59 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(the_carrier(A))))|((?[C,D,E]: pd0_0(E,D,C,B,A))|(?[C]: ![D]: ((~in(D,C)|(?[E]: ((in(E,powerset(the_carrier(A)))&E=D)&(?[H]: (((element(H,powerset(the_carrier(A)))&H=D)&closed_subset(H,A))&subset(B,D))))))&(in(D,C)|(![E]: ((~in(E,powerset(the_carrier(A)))|~E=D)|(![H]: (((~element(H,powerset(the_carrier(A)))|~H=D)|~closed_subset(H,A))|~subset(B,D))))))))))),
% 1.27/0.59 inference(NNF_transformation,[status(esa)],[f125])).
% 1.27/0.59 fof(f127,plain,(
% 1.27/0.59 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(the_carrier(A))))|((?[C,D,E]: pd0_0(E,D,C,B,A))|(?[C]: ((![D]: (~in(D,C)|((?[E]: (in(E,powerset(the_carrier(A)))&E=D))&((?[H]: ((element(H,powerset(the_carrier(A)))&H=D)&closed_subset(H,A)))&subset(B,D)))))&(![D]: (in(D,C)|((![E]: (~in(E,powerset(the_carrier(A)))|~E=D))|((![H]: ((~element(H,powerset(the_carrier(A)))|~H=D)|~closed_subset(H,A)))|~subset(B,D)))))))))),
% 1.27/0.59 inference(miniscoping,[status(esa)],[f126])).
% 1.27/0.59 fof(f128,plain,(
% 1.27/0.59 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(the_carrier(A))))|(pd0_0(sk0_10(B,A),sk0_9(B,A),sk0_8(B,A),B,A)|((![D]: (~in(D,sk0_11(B,A))|((in(sk0_12(D,B,A),powerset(the_carrier(A)))&sk0_12(D,B,A)=D)&(((element(sk0_13(D,B,A),powerset(the_carrier(A)))&sk0_13(D,B,A)=D)&closed_subset(sk0_13(D,B,A),A))&subset(B,D)))))&(![D]: (in(D,sk0_11(B,A))|((![E]: (~in(E,powerset(the_carrier(A)))|~E=D))|((![H]: ((~element(H,powerset(the_carrier(A)))|~H=D)|~closed_subset(H,A)))|~subset(B,D))))))))),
% 1.27/0.59 inference(skolemization,[status(esa)],[f127])).
% 1.27/0.59 fof(f129,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|pd0_0(sk0_10(X1,X0),sk0_9(X1,X0),sk0_8(X1,X0),X1,X0)|~in(X2,sk0_11(X1,X0))|in(sk0_12(X2,X1,X0),powerset(the_carrier(X0))))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f128])).
% 1.27/0.59 fof(f130,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|pd0_0(sk0_10(X1,X0),sk0_9(X1,X0),sk0_8(X1,X0),X1,X0)|~in(X2,sk0_11(X1,X0))|sk0_12(X2,X1,X0)=X2)),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f128])).
% 1.27/0.59 fof(f131,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|pd0_0(sk0_10(X1,X0),sk0_9(X1,X0),sk0_8(X1,X0),X1,X0)|~in(X2,sk0_11(X1,X0))|element(sk0_13(X2,X1,X0),powerset(the_carrier(X0))))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f128])).
% 1.27/0.59 fof(f132,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|pd0_0(sk0_10(X1,X0),sk0_9(X1,X0),sk0_8(X1,X0),X1,X0)|~in(X2,sk0_11(X1,X0))|sk0_13(X2,X1,X0)=X2)),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f128])).
% 1.27/0.59 fof(f133,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|pd0_0(sk0_10(X1,X0),sk0_9(X1,X0),sk0_8(X1,X0),X1,X0)|~in(X2,sk0_11(X1,X0))|closed_subset(sk0_13(X2,X1,X0),X0))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f128])).
% 1.27/0.59 fof(f134,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|pd0_0(sk0_10(X1,X0),sk0_9(X1,X0),sk0_8(X1,X0),X1,X0)|~in(X2,sk0_11(X1,X0))|subset(X1,X2))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f128])).
% 1.27/0.59 fof(f135,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|pd0_0(sk0_10(X1,X0),sk0_9(X1,X0),sk0_8(X1,X0),X1,X0)|in(X2,sk0_11(X1,X0))|~in(X3,powerset(the_carrier(X0)))|~X3=X2|~element(X4,powerset(the_carrier(X0)))|~X4=X2|~closed_subset(X4,X0)|~subset(X1,X2))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f128])).
% 1.27/0.59 fof(f136,plain,(
% 1.27/0.59 ![A,B,C,D,E]: (~pd0_0(E,D,C,B,A)|((((C=D&(?[F]: (((element(F,powerset(the_carrier(A)))&F=D)&closed_subset(F,A))&subset(B,D))))&C=E)&(?[G]: (((element(G,powerset(the_carrier(A)))&G=E)&closed_subset(G,A))&subset(B,E))))&~D=E))),
% 1.27/0.59 inference(pre_NNF_transformation,[status(esa)],[f124])).
% 1.27/0.59 fof(f137,plain,(
% 1.27/0.59 ![A,B,C,D,E]: (~pd0_0(E,D,C,B,A)|((((C=D&((?[F]: ((element(F,powerset(the_carrier(A)))&F=D)&closed_subset(F,A)))&subset(B,D)))&C=E)&((?[G]: ((element(G,powerset(the_carrier(A)))&G=E)&closed_subset(G,A)))&subset(B,E)))&~D=E))),
% 1.27/0.59 inference(miniscoping,[status(esa)],[f136])).
% 1.27/0.59 fof(f138,plain,(
% 1.27/0.59 ![A,B,C,D,E]: (~pd0_0(E,D,C,B,A)|((((C=D&(((element(sk0_14(E,D,C,B,A),powerset(the_carrier(A)))&sk0_14(E,D,C,B,A)=D)&closed_subset(sk0_14(E,D,C,B,A),A))&subset(B,D)))&C=E)&(((element(sk0_15(E,D,C,B,A),powerset(the_carrier(A)))&sk0_15(E,D,C,B,A)=E)&closed_subset(sk0_15(E,D,C,B,A),A))&subset(B,E)))&~D=E))),
% 1.27/0.59 inference(skolemization,[status(esa)],[f137])).
% 1.27/0.59 fof(f139,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X1)),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f138])).
% 1.27/0.59 fof(f140,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|element(sk0_14(X0,X1,X2,X3,X4),powerset(the_carrier(X4))))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f138])).
% 1.27/0.59 fof(f142,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|closed_subset(sk0_14(X0,X1,X2,X3,X4),X4))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f138])).
% 1.27/0.59 fof(f144,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X0)),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f138])).
% 1.27/0.59 fof(f145,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|element(sk0_15(X0,X1,X2,X3,X4),powerset(the_carrier(X4))))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f138])).
% 1.27/0.59 fof(f147,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|closed_subset(sk0_15(X0,X1,X2,X3,X4),X4))),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f138])).
% 1.27/0.59 fof(f149,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~X1=X0)),
% 1.27/0.59 inference(cnf_transformation,[status(esa)],[f138])).
% 1.27/0.59 fof(f152,plain,(
% 1.27/0.59 spl0_0 <=> topological_space(sk0_0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f154,plain,(
% 1.27/0.59 ~topological_space(sk0_0)|spl0_0),
% 1.27/0.59 inference(component_clause,[status(thm)],[f152])).
% 1.27/0.59 fof(f155,plain,(
% 1.27/0.59 spl0_1 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|subset(X0,X1)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f156,plain,(
% 1.27/0.59 ![X0,X1]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|subset(X0,X1)|~spl0_1)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f155])).
% 1.27/0.59 fof(f158,plain,(
% 1.27/0.59 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|subset(X0,X1))),
% 1.27/0.59 inference(resolution,[status(thm)],[f134,f36])).
% 1.27/0.59 fof(f159,plain,(
% 1.27/0.59 ~spl0_0|spl0_1),
% 1.27/0.59 inference(split_clause,[status(thm)],[f158,f152,f155])).
% 1.27/0.59 fof(f160,plain,(
% 1.27/0.59 $false|spl0_0),
% 1.27/0.59 inference(forward_subsumption_resolution,[status(thm)],[f154,f35])).
% 1.27/0.59 fof(f161,plain,(
% 1.27/0.59 spl0_0),
% 1.27/0.59 inference(contradiction_clause,[status(thm)],[f160])).
% 1.27/0.59 fof(f176,plain,(
% 1.27/0.59 spl0_6 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~element(X3,powerset(the_carrier(sk0_0)))|~X3=X1|~closed_subset(X3,sk0_0)|~subset(X0,X1)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f177,plain,(
% 1.27/0.59 ![X0,X1,X2,X3]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~element(X3,powerset(the_carrier(sk0_0)))|~X3=X1|~closed_subset(X3,sk0_0)|~subset(X0,X1)|~spl0_6)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f176])).
% 1.27/0.59 fof(f179,plain,(
% 1.27/0.59 ![X0,X1,X2,X3]: (~topological_space(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~element(X3,powerset(the_carrier(sk0_0)))|~X3=X1|~closed_subset(X3,sk0_0)|~subset(X0,X1))),
% 1.27/0.59 inference(resolution,[status(thm)],[f135,f36])).
% 1.27/0.59 fof(f180,plain,(
% 1.27/0.59 ~spl0_0|spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f179,f152,f176])).
% 1.27/0.59 fof(f189,plain,(
% 1.27/0.59 spl0_7 <=> pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f190,plain,(
% 1.27/0.59 pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_7),
% 1.27/0.59 inference(component_clause,[status(thm)],[f189])).
% 1.27/0.59 fof(f192,plain,(
% 1.27/0.59 spl0_8 <=> ~in(X0,sk0_11(sk0_1,sk0_0))|subset(sk0_1,X0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f193,plain,(
% 1.27/0.59 ![X0]: (~in(X0,sk0_11(sk0_1,sk0_0))|subset(sk0_1,X0)|~spl0_8)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f192])).
% 1.27/0.59 fof(f195,plain,(
% 1.27/0.59 ![X0]: (pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_11(sk0_1,sk0_0))|subset(sk0_1,X0)|~spl0_1)),
% 1.27/0.59 inference(resolution,[status(thm)],[f156,f37])).
% 1.27/0.59 fof(f196,plain,(
% 1.27/0.59 spl0_7|spl0_8|~spl0_1),
% 1.27/0.59 inference(split_clause,[status(thm)],[f195,f189,f192,f155])).
% 1.27/0.59 fof(f199,plain,(
% 1.27/0.59 sk0_8(sk0_1,sk0_0)=sk0_10(sk0_1,sk0_0)|~spl0_7),
% 1.27/0.59 inference(resolution,[status(thm)],[f190,f144])).
% 1.27/0.59 fof(f200,plain,(
% 1.27/0.59 sk0_8(sk0_1,sk0_0)=sk0_9(sk0_1,sk0_0)|~spl0_7),
% 1.27/0.59 inference(resolution,[status(thm)],[f190,f139])).
% 1.27/0.59 fof(f201,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~pd0_0(sk0_10(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),X0,X1,X2)|~spl0_7)),
% 1.27/0.59 inference(resolution,[status(thm)],[f199,f149])).
% 1.27/0.59 fof(f206,plain,(
% 1.27/0.59 pd0_0(sk0_10(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_7),
% 1.27/0.59 inference(paramodulation,[status(thm)],[f200,f190])).
% 1.27/0.59 fof(f207,plain,(
% 1.27/0.59 $false|~spl0_7),
% 1.27/0.59 inference(forward_subsumption_resolution,[status(thm)],[f206,f201])).
% 1.27/0.59 fof(f208,plain,(
% 1.27/0.59 ~spl0_7),
% 1.27/0.59 inference(contradiction_clause,[status(thm)],[f207])).
% 1.27/0.59 fof(f209,plain,(
% 1.27/0.59 spl0_9 <=> subset(sk0_1,sk0_2(sk0_11(sk0_1,sk0_0)))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f211,plain,(
% 1.27/0.59 ~subset(sk0_1,sk0_2(sk0_11(sk0_1,sk0_0)))|spl0_9),
% 1.27/0.59 inference(component_clause,[status(thm)],[f209])).
% 1.27/0.59 fof(f212,plain,(
% 1.27/0.59 spl0_10 <=> sk0_3(sk0_11(sk0_1,sk0_0))=sk0_2(sk0_11(sk0_1,sk0_0))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f213,plain,(
% 1.27/0.59 sk0_3(sk0_11(sk0_1,sk0_0))=sk0_2(sk0_11(sk0_1,sk0_0))|~spl0_10),
% 1.27/0.59 inference(component_clause,[status(thm)],[f212])).
% 1.27/0.59 fof(f224,plain,(
% 1.27/0.59 ![X0,X1,X2,X3]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~sk0_2(X2)=X1|~element(X3,powerset(the_carrier(sk0_0)))|~X3=X1|~closed_subset(X3,sk0_0)|~subset(X0,X1)|in(sk0_2(X2),X2)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f177,f38])).
% 1.27/0.59 fof(f230,plain,(
% 1.27/0.59 ![X0,X1,X2,X3]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~sk0_3(X3)=X1|~closed_subset(sk0_3(X3),sk0_0)|~subset(X0,X1)|in(sk0_2(X3),X3)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f177,f39])).
% 1.27/0.59 fof(f231,plain,(
% 1.27/0.59 ![X0,X1,X2,X3]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~sk0_3(X3)=X1|~subset(X0,X1)|in(sk0_2(X3),X3)|~spl0_6)),
% 1.27/0.59 inference(forward_subsumption_resolution,[status(thm)],[f230,f41])).
% 1.27/0.59 fof(f326,plain,(
% 1.27/0.59 ![X0,X1,X2,X3]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~sk0_2(X2)=X1|~sk0_3(X3)=X1|~subset(X0,X1)|in(sk0_2(X3),X3)|in(sk0_2(X2),X2)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f231,f38])).
% 1.27/0.59 fof(f363,plain,(
% 1.27/0.59 spl0_36 <=> in(X0,sk0_11(sk0_1,sk0_0))|~sk0_2(X1)=X0|~sk0_3(X2)=X0|~subset(sk0_1,X0)|in(sk0_2(X2),X2)|in(sk0_2(X1),X1)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f364,plain,(
% 1.27/0.59 ![X0,X1,X2]: (in(X0,sk0_11(sk0_1,sk0_0))|~sk0_2(X1)=X0|~sk0_3(X2)=X0|~subset(sk0_1,X0)|in(sk0_2(X2),X2)|in(sk0_2(X1),X1)|~spl0_36)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f363])).
% 1.27/0.59 fof(f366,plain,(
% 1.27/0.59 ![X0,X1,X2]: (pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|in(X0,sk0_11(sk0_1,sk0_0))|~sk0_2(X1)=X0|~sk0_3(X2)=X0|~subset(sk0_1,X0)|in(sk0_2(X2),X2)|in(sk0_2(X1),X1)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f326,f37])).
% 1.27/0.59 fof(f367,plain,(
% 1.27/0.59 spl0_7|spl0_36|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f366,f189,f363,f176])).
% 1.27/0.59 fof(f373,plain,(
% 1.27/0.59 spl0_37 <=> pd0_0(sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_9(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_6(the_carrier(sk0_0)),sk0_0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f374,plain,(
% 1.27/0.59 pd0_0(sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_9(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_6(the_carrier(sk0_0)),sk0_0)|~spl0_37),
% 1.27/0.59 inference(component_clause,[status(thm)],[f373])).
% 1.27/0.59 fof(f376,plain,(
% 1.27/0.59 spl0_38 <=> in(X0,sk0_11(sk0_6(the_carrier(sk0_0)),sk0_0))|~sk0_2(X1)=X0|~sk0_3(X2)=X0|~subset(sk0_6(the_carrier(sk0_0)),X0)|in(sk0_2(X2),X2)|in(sk0_2(X1),X1)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f379,plain,(
% 1.27/0.59 ![X0,X1,X2]: (pd0_0(sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_9(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_6(the_carrier(sk0_0)),sk0_0)|in(X0,sk0_11(sk0_6(the_carrier(sk0_0)),sk0_0))|~sk0_2(X1)=X0|~sk0_3(X2)=X0|~subset(sk0_6(the_carrier(sk0_0)),X0)|in(sk0_2(X2),X2)|in(sk0_2(X1),X1)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f104,f326])).
% 1.27/0.59 fof(f380,plain,(
% 1.27/0.59 spl0_37|spl0_38|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f379,f373,f376,f176])).
% 1.27/0.59 fof(f404,plain,(
% 1.27/0.59 spl0_44 <=> ~in(X0,sk0_11(sk0_6(the_carrier(sk0_0)),sk0_0))|subset(sk0_6(the_carrier(sk0_0)),X0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f407,plain,(
% 1.27/0.59 ![X0]: (pd0_0(sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_9(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_6(the_carrier(sk0_0)),sk0_0)|~in(X0,sk0_11(sk0_6(the_carrier(sk0_0)),sk0_0))|subset(sk0_6(the_carrier(sk0_0)),X0)|~spl0_1)),
% 1.27/0.59 inference(resolution,[status(thm)],[f104,f156])).
% 1.27/0.59 fof(f408,plain,(
% 1.27/0.59 spl0_37|spl0_44|~spl0_1),
% 1.27/0.59 inference(split_clause,[status(thm)],[f407,f373,f404,f155])).
% 1.27/0.59 fof(f467,plain,(
% 1.27/0.59 sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0)=sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0)|~spl0_37),
% 1.27/0.59 inference(resolution,[status(thm)],[f374,f144])).
% 1.27/0.59 fof(f468,plain,(
% 1.27/0.59 sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0)=sk0_9(sk0_6(the_carrier(sk0_0)),sk0_0)|~spl0_37),
% 1.27/0.59 inference(resolution,[status(thm)],[f374,f139])).
% 1.27/0.59 fof(f469,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~pd0_0(sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),X0,X1,X2)|~spl0_37)),
% 1.27/0.59 inference(resolution,[status(thm)],[f467,f149])).
% 1.27/0.59 fof(f482,plain,(
% 1.27/0.59 pd0_0(sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_6(the_carrier(sk0_0)),sk0_0)|~spl0_37),
% 1.27/0.59 inference(paramodulation,[status(thm)],[f468,f374])).
% 1.27/0.59 fof(f483,plain,(
% 1.27/0.59 $false|~spl0_37),
% 1.27/0.59 inference(forward_subsumption_resolution,[status(thm)],[f482,f469])).
% 1.27/0.59 fof(f484,plain,(
% 1.27/0.59 ~spl0_37),
% 1.27/0.59 inference(contradiction_clause,[status(thm)],[f483])).
% 1.27/0.59 fof(f670,plain,(
% 1.27/0.59 spl0_89 <=> in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f671,plain,(
% 1.27/0.59 in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|~spl0_89),
% 1.27/0.59 inference(component_clause,[status(thm)],[f670])).
% 1.27/0.59 fof(f672,plain,(
% 1.27/0.59 ~in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|spl0_89),
% 1.27/0.59 inference(component_clause,[status(thm)],[f670])).
% 1.27/0.59 fof(f741,plain,(
% 1.27/0.59 spl0_102 <=> element(sk0_2(sk0_11(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f742,plain,(
% 1.27/0.59 element(sk0_2(sk0_11(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_102),
% 1.27/0.59 inference(component_clause,[status(thm)],[f741])).
% 1.27/0.59 fof(f746,plain,(
% 1.27/0.59 spl0_103 <=> closed_subset(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f751,plain,(
% 1.27/0.59 spl0_104 <=> sk0_2(powerset(the_carrier(sk0_0)))=sk0_2(powerset(the_carrier(sk0_0)))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f753,plain,(
% 1.27/0.59 ~sk0_2(powerset(the_carrier(sk0_0)))=sk0_2(powerset(the_carrier(sk0_0)))|spl0_104),
% 1.27/0.59 inference(component_clause,[status(thm)],[f751])).
% 1.27/0.59 fof(f783,plain,(
% 1.27/0.59 spl0_110 <=> closed_subset(sk0_7(sk0_0),sk0_0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f786,plain,(
% 1.27/0.59 ~topological_space(sk0_0)|closed_subset(sk0_7(sk0_0),sk0_0)),
% 1.27/0.59 inference(resolution,[status(thm)],[f121,f36])).
% 1.27/0.59 fof(f787,plain,(
% 1.27/0.59 ~spl0_0|spl0_110),
% 1.27/0.59 inference(split_clause,[status(thm)],[f786,f152,f783])).
% 1.27/0.59 fof(f788,plain,(
% 1.27/0.59 spl0_111 <=> top_str(sk0_0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f790,plain,(
% 1.27/0.59 ~top_str(sk0_0)|spl0_111),
% 1.27/0.59 inference(component_clause,[status(thm)],[f788])).
% 1.27/0.59 fof(f804,plain,(
% 1.27/0.59 spl0_115 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~sk0_2(X2)=X1|~sk0_7(sk0_0)=X1|~subset(X0,X1)|in(sk0_2(X2),X2)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f807,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~sk0_2(X2)=X1|~sk0_7(sk0_0)=X1|~closed_subset(sk0_7(sk0_0),sk0_0)|~subset(X0,X1)|in(sk0_2(X2),X2)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f120,f224])).
% 1.27/0.59 fof(f808,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|spl0_115|~spl0_110|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f807,f152,f788,f804,f783,f176])).
% 1.27/0.59 fof(f809,plain,(
% 1.27/0.59 spl0_116 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~sk0_7(sk0_0)=X1|~subset(X0,X1)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f810,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~sk0_7(sk0_0)=X1|~subset(X0,X1)|~spl0_116)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f809])).
% 1.27/0.59 fof(f812,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~sk0_7(sk0_0)=X1|~closed_subset(sk0_7(sk0_0),sk0_0)|~subset(X0,X1)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f120,f177])).
% 1.27/0.59 fof(f813,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|spl0_116|~spl0_110|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f812,f152,f788,f809,f783,f176])).
% 1.27/0.59 fof(f819,plain,(
% 1.27/0.59 $false|spl0_111),
% 1.27/0.59 inference(forward_subsumption_resolution,[status(thm)],[f790,f36])).
% 1.27/0.59 fof(f820,plain,(
% 1.27/0.59 spl0_111),
% 1.27/0.59 inference(contradiction_clause,[status(thm)],[f819])).
% 1.27/0.59 fof(f824,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3,sk0_0)|~element(X4,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X4,sk0_0),sk0_9(X4,sk0_0),sk0_8(X4,sk0_0),X4,sk0_0)|in(X5,sk0_11(X4,sk0_0))|~in(X6,powerset(the_carrier(sk0_0)))|~X6=X5|~sk0_14(X0,X1,X2,X3,sk0_0)=X5|~closed_subset(sk0_14(X0,X1,X2,X3,sk0_0),sk0_0)|~subset(X4,X5)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f140,f177])).
% 1.27/0.59 fof(f825,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3,sk0_0)|~element(X4,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X4,sk0_0),sk0_9(X4,sk0_0),sk0_8(X4,sk0_0),X4,sk0_0)|in(X5,sk0_11(X4,sk0_0))|~in(X6,powerset(the_carrier(sk0_0)))|~X6=X5|~sk0_14(X0,X1,X2,X3,sk0_0)=X5|~subset(X4,X5)|~spl0_6)),
% 1.27/0.59 inference(forward_subsumption_resolution,[status(thm)],[f824,f142])).
% 1.27/0.59 fof(f830,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3,sk0_0)|~element(X4,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X4,sk0_0),sk0_9(X4,sk0_0),sk0_8(X4,sk0_0),X4,sk0_0)|in(X5,sk0_11(X4,sk0_0))|~in(X6,powerset(the_carrier(sk0_0)))|~X6=X5|~sk0_15(X0,X1,X2,X3,sk0_0)=X5|~closed_subset(sk0_15(X0,X1,X2,X3,sk0_0),sk0_0)|~subset(X4,X5)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f145,f177])).
% 1.27/0.59 fof(f831,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4,X5,X6]: (~pd0_0(X0,X1,X2,X3,sk0_0)|~element(X4,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X4,sk0_0),sk0_9(X4,sk0_0),sk0_8(X4,sk0_0),X4,sk0_0)|in(X5,sk0_11(X4,sk0_0))|~in(X6,powerset(the_carrier(sk0_0)))|~X6=X5|~sk0_15(X0,X1,X2,X3,sk0_0)=X5|~subset(X4,X5)|~spl0_6)),
% 1.27/0.59 inference(forward_subsumption_resolution,[status(thm)],[f830,f147])).
% 1.27/0.59 fof(f833,plain,(
% 1.27/0.59 spl0_118 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|sk0_12(X1,X0,sk0_0)=X1),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f834,plain,(
% 1.27/0.59 ![X0,X1]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|sk0_12(X1,X0,sk0_0)=X1|~spl0_118)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f833])).
% 1.27/0.59 fof(f836,plain,(
% 1.27/0.59 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|sk0_12(X1,X0,sk0_0)=X1)),
% 1.27/0.59 inference(resolution,[status(thm)],[f130,f36])).
% 1.27/0.59 fof(f837,plain,(
% 1.27/0.59 ~spl0_0|spl0_118),
% 1.27/0.59 inference(split_clause,[status(thm)],[f836,f152,f833])).
% 1.27/0.59 fof(f838,plain,(
% 1.27/0.59 spl0_119 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|sk0_13(X1,X0,sk0_0)=X1),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f839,plain,(
% 1.27/0.59 ![X0,X1]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|sk0_13(X1,X0,sk0_0)=X1|~spl0_119)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f838])).
% 1.27/0.59 fof(f841,plain,(
% 1.27/0.59 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|sk0_13(X1,X0,sk0_0)=X1)),
% 1.27/0.59 inference(resolution,[status(thm)],[f132,f36])).
% 1.27/0.59 fof(f842,plain,(
% 1.27/0.59 ~spl0_0|spl0_119),
% 1.27/0.59 inference(split_clause,[status(thm)],[f841,f152,f838])).
% 1.27/0.59 fof(f843,plain,(
% 1.27/0.59 spl0_120 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|closed_subset(sk0_13(X1,X0,sk0_0),sk0_0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f844,plain,(
% 1.27/0.59 ![X0,X1]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|closed_subset(sk0_13(X1,X0,sk0_0),sk0_0)|~spl0_120)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f843])).
% 1.27/0.59 fof(f846,plain,(
% 1.27/0.59 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|closed_subset(sk0_13(X1,X0,sk0_0),sk0_0))),
% 1.27/0.59 inference(resolution,[status(thm)],[f133,f36])).
% 1.27/0.59 fof(f847,plain,(
% 1.27/0.59 ~spl0_0|spl0_120),
% 1.27/0.59 inference(split_clause,[status(thm)],[f846,f152,f843])).
% 1.27/0.59 fof(f848,plain,(
% 1.27/0.59 spl0_121 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|~element(X2,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X2,sk0_0),sk0_9(X2,sk0_0),sk0_8(X2,sk0_0),X2,sk0_0)|in(X3,sk0_11(X2,sk0_0))|~sk0_12(X1,X0,sk0_0)=X3|~sk0_3(X4)=X3|~subset(X2,X3)|in(sk0_2(X4),X4)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f851,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|~element(X2,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X2,sk0_0),sk0_9(X2,sk0_0),sk0_8(X2,sk0_0),X2,sk0_0)|in(X3,sk0_11(X2,sk0_0))|~sk0_12(X1,X0,sk0_0)=X3|~sk0_3(X4)=X3|~subset(X2,X3)|in(sk0_2(X4),X4)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f129,f231])).
% 1.27/0.59 fof(f852,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|spl0_121|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f851,f152,f788,f848,f176])).
% 1.27/0.59 fof(f853,plain,(
% 1.27/0.59 spl0_122 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|~element(X2,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X2,sk0_0),sk0_9(X2,sk0_0),sk0_8(X2,sk0_0),X2,sk0_0)|in(X3,sk0_11(X2,sk0_0))|~sk0_12(X1,X0,sk0_0)=X3|~element(X4,powerset(the_carrier(sk0_0)))|~X4=X3|~closed_subset(X4,sk0_0)|~subset(X2,X3)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f856,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|~element(X2,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X2,sk0_0),sk0_9(X2,sk0_0),sk0_8(X2,sk0_0),X2,sk0_0)|in(X3,sk0_11(X2,sk0_0))|~sk0_12(X1,X0,sk0_0)=X3|~element(X4,powerset(the_carrier(sk0_0)))|~X4=X3|~closed_subset(X4,sk0_0)|~subset(X2,X3)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f129,f177])).
% 1.27/0.59 fof(f857,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|spl0_122|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f856,f152,f788,f853,f176])).
% 1.27/0.59 fof(f859,plain,(
% 1.27/0.59 spl0_123 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|pd0_0(sk0_10(sk0_13(X1,X0,sk0_0),sk0_0),sk0_9(sk0_13(X1,X0,sk0_0),sk0_0),sk0_8(sk0_13(X1,X0,sk0_0),sk0_0),sk0_13(X1,X0,sk0_0),sk0_0)|in(X2,sk0_11(sk0_13(X1,X0,sk0_0),sk0_0))|~sk0_2(X3)=X2|~sk0_3(X4)=X2|~subset(sk0_13(X1,X0,sk0_0),X2)|in(sk0_2(X4),X4)|in(sk0_2(X3),X3)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f862,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|pd0_0(sk0_10(sk0_13(X1,X0,sk0_0),sk0_0),sk0_9(sk0_13(X1,X0,sk0_0),sk0_0),sk0_8(sk0_13(X1,X0,sk0_0),sk0_0),sk0_13(X1,X0,sk0_0),sk0_0)|in(X2,sk0_11(sk0_13(X1,X0,sk0_0),sk0_0))|~sk0_2(X3)=X2|~sk0_3(X4)=X2|~subset(sk0_13(X1,X0,sk0_0),X2)|in(sk0_2(X4),X4)|in(sk0_2(X3),X3)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f131,f326])).
% 1.27/0.59 fof(f863,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|spl0_123|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f862,f152,f788,f859,f176])).
% 1.27/0.59 fof(f864,plain,(
% 1.27/0.59 spl0_124 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|~element(X2,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X2,sk0_0),sk0_9(X2,sk0_0),sk0_8(X2,sk0_0),X2,sk0_0)|in(X3,sk0_11(X2,sk0_0))|~sk0_2(X4)=X3|~sk0_13(X1,X0,sk0_0)=X3|~closed_subset(sk0_13(X1,X0,sk0_0),sk0_0)|~subset(X2,X3)|in(sk0_2(X4),X4)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f867,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|~element(X2,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X2,sk0_0),sk0_9(X2,sk0_0),sk0_8(X2,sk0_0),X2,sk0_0)|in(X3,sk0_11(X2,sk0_0))|~sk0_2(X4)=X3|~sk0_13(X1,X0,sk0_0)=X3|~closed_subset(sk0_13(X1,X0,sk0_0),sk0_0)|~subset(X2,X3)|in(sk0_2(X4),X4)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f131,f224])).
% 1.27/0.59 fof(f868,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|spl0_124|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f867,f152,f788,f864,f176])).
% 1.27/0.59 fof(f869,plain,(
% 1.27/0.59 spl0_125 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|~element(X2,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X2,sk0_0),sk0_9(X2,sk0_0),sk0_8(X2,sk0_0),X2,sk0_0)|in(X3,sk0_11(X2,sk0_0))|~in(X4,powerset(the_carrier(sk0_0)))|~X4=X3|~sk0_13(X1,X0,sk0_0)=X3|~closed_subset(sk0_13(X1,X0,sk0_0),sk0_0)|~subset(X2,X3)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f872,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|~element(X2,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X2,sk0_0),sk0_9(X2,sk0_0),sk0_8(X2,sk0_0),X2,sk0_0)|in(X3,sk0_11(X2,sk0_0))|~in(X4,powerset(the_carrier(sk0_0)))|~X4=X3|~sk0_13(X1,X0,sk0_0)=X3|~closed_subset(sk0_13(X1,X0,sk0_0),sk0_0)|~subset(X2,X3)|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f131,f177])).
% 1.27/0.59 fof(f873,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|spl0_125|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f872,f152,f788,f869,f176])).
% 1.27/0.59 fof(f874,plain,(
% 1.27/0.59 spl0_126 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|pd0_0(sk0_10(sk0_13(X1,X0,sk0_0),sk0_0),sk0_9(sk0_13(X1,X0,sk0_0),sk0_0),sk0_8(sk0_13(X1,X0,sk0_0),sk0_0),sk0_13(X1,X0,sk0_0),sk0_0)|~in(X2,sk0_11(sk0_13(X1,X0,sk0_0),sk0_0))|subset(sk0_13(X1,X0,sk0_0),X2)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f877,plain,(
% 1.27/0.59 ![X0,X1,X2]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_11(X0,sk0_0))|pd0_0(sk0_10(sk0_13(X1,X0,sk0_0),sk0_0),sk0_9(sk0_13(X1,X0,sk0_0),sk0_0),sk0_8(sk0_13(X1,X0,sk0_0),sk0_0),sk0_13(X1,X0,sk0_0),sk0_0)|~in(X2,sk0_11(sk0_13(X1,X0,sk0_0),sk0_0))|subset(sk0_13(X1,X0,sk0_0),X2)|~spl0_1)),
% 1.27/0.59 inference(resolution,[status(thm)],[f131,f156])).
% 1.27/0.59 fof(f878,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|spl0_126|~spl0_1),
% 1.27/0.59 inference(split_clause,[status(thm)],[f877,f152,f788,f874,f155])).
% 1.27/0.59 fof(f881,plain,(
% 1.27/0.59 $false|spl0_104),
% 1.27/0.59 inference(equality_resolution,[status(esa)],[f753])).
% 1.27/0.59 fof(f882,plain,(
% 1.27/0.59 spl0_104),
% 1.27/0.59 inference(contradiction_clause,[status(thm)],[f881])).
% 1.27/0.59 fof(f916,plain,(
% 1.27/0.59 spl0_134 <=> pd0_0(sk0_10(sk0_13(X0,X1,sk0_0),sk0_0),sk0_9(sk0_13(X0,X1,sk0_0),sk0_0),sk0_8(sk0_13(X0,X1,sk0_0),sk0_0),sk0_13(X0,X1,sk0_0),sk0_0)|~in(X2,sk0_11(sk0_13(X0,X1,sk0_0),sk0_0))|sk0_12(X2,sk0_13(X0,X1,sk0_0),sk0_0)=X2|~element(X1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X1,sk0_0),sk0_9(X1,sk0_0),sk0_8(X1,sk0_0),X1,sk0_0)|~in(X0,sk0_11(X1,sk0_0))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f919,plain,(
% 1.27/0.59 ![X0,X1,X2]: (pd0_0(sk0_10(sk0_13(X0,X1,sk0_0),sk0_0),sk0_9(sk0_13(X0,X1,sk0_0),sk0_0),sk0_8(sk0_13(X0,X1,sk0_0),sk0_0),sk0_13(X0,X1,sk0_0),sk0_0)|~in(X2,sk0_11(sk0_13(X0,X1,sk0_0),sk0_0))|sk0_12(X2,sk0_13(X0,X1,sk0_0),sk0_0)=X2|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X1,sk0_0),sk0_9(X1,sk0_0),sk0_8(X1,sk0_0),X1,sk0_0)|~in(X0,sk0_11(X1,sk0_0))|~spl0_118)),
% 1.27/0.59 inference(resolution,[status(thm)],[f834,f131])).
% 1.27/0.59 fof(f920,plain,(
% 1.27/0.59 spl0_134|~spl0_0|~spl0_111|~spl0_118),
% 1.27/0.59 inference(split_clause,[status(thm)],[f919,f916,f152,f788,f833])).
% 1.27/0.59 fof(f943,plain,(
% 1.27/0.59 spl0_139 <=> ~in(X0,sk0_11(sk0_6(the_carrier(sk0_0)),sk0_0))|sk0_12(X0,sk0_6(the_carrier(sk0_0)),sk0_0)=X0),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f946,plain,(
% 1.27/0.59 ![X0]: (pd0_0(sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_9(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_6(the_carrier(sk0_0)),sk0_0)|~in(X0,sk0_11(sk0_6(the_carrier(sk0_0)),sk0_0))|sk0_12(X0,sk0_6(the_carrier(sk0_0)),sk0_0)=X0|~spl0_118)),
% 1.27/0.59 inference(resolution,[status(thm)],[f834,f104])).
% 1.27/0.59 fof(f947,plain,(
% 1.27/0.59 spl0_37|spl0_139|~spl0_118),
% 1.27/0.59 inference(split_clause,[status(thm)],[f946,f373,f943,f833])).
% 1.27/0.59 fof(f949,plain,(
% 1.27/0.59 spl0_140 <=> ~in(X0,sk0_11(sk0_1,sk0_0))|sk0_12(X0,sk0_1,sk0_0)=X0),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f950,plain,(
% 1.27/0.59 ![X0]: (~in(X0,sk0_11(sk0_1,sk0_0))|sk0_12(X0,sk0_1,sk0_0)=X0|~spl0_140)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f949])).
% 1.27/0.59 fof(f952,plain,(
% 1.27/0.59 ![X0]: (pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_11(sk0_1,sk0_0))|sk0_12(X0,sk0_1,sk0_0)=X0|~spl0_118)),
% 1.27/0.59 inference(resolution,[status(thm)],[f834,f37])).
% 1.27/0.59 fof(f953,plain,(
% 1.27/0.59 spl0_7|spl0_140|~spl0_118),
% 1.27/0.59 inference(split_clause,[status(thm)],[f952,f189,f949,f833])).
% 1.27/0.59 fof(f954,plain,(
% 1.27/0.59 spl0_141 <=> pd0_0(sk0_10(sk0_13(X0,X1,sk0_0),sk0_0),sk0_9(sk0_13(X0,X1,sk0_0),sk0_0),sk0_8(sk0_13(X0,X1,sk0_0),sk0_0),sk0_13(X0,X1,sk0_0),sk0_0)|~in(X2,sk0_11(sk0_13(X0,X1,sk0_0),sk0_0))|sk0_13(X2,sk0_13(X0,X1,sk0_0),sk0_0)=X2|~element(X1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X1,sk0_0),sk0_9(X1,sk0_0),sk0_8(X1,sk0_0),X1,sk0_0)|~in(X0,sk0_11(X1,sk0_0))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f957,plain,(
% 1.27/0.59 ![X0,X1,X2]: (pd0_0(sk0_10(sk0_13(X0,X1,sk0_0),sk0_0),sk0_9(sk0_13(X0,X1,sk0_0),sk0_0),sk0_8(sk0_13(X0,X1,sk0_0),sk0_0),sk0_13(X0,X1,sk0_0),sk0_0)|~in(X2,sk0_11(sk0_13(X0,X1,sk0_0),sk0_0))|sk0_13(X2,sk0_13(X0,X1,sk0_0),sk0_0)=X2|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X1,sk0_0),sk0_9(X1,sk0_0),sk0_8(X1,sk0_0),X1,sk0_0)|~in(X0,sk0_11(X1,sk0_0))|~spl0_119)),
% 1.27/0.59 inference(resolution,[status(thm)],[f839,f131])).
% 1.27/0.59 fof(f958,plain,(
% 1.27/0.59 spl0_141|~spl0_0|~spl0_111|~spl0_119),
% 1.27/0.59 inference(split_clause,[status(thm)],[f957,f954,f152,f788,f838])).
% 1.27/0.59 fof(f981,plain,(
% 1.27/0.59 spl0_146 <=> ~in(X0,sk0_11(sk0_6(the_carrier(sk0_0)),sk0_0))|sk0_13(X0,sk0_6(the_carrier(sk0_0)),sk0_0)=X0),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f984,plain,(
% 1.27/0.59 ![X0]: (pd0_0(sk0_10(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_9(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_8(sk0_6(the_carrier(sk0_0)),sk0_0),sk0_6(the_carrier(sk0_0)),sk0_0)|~in(X0,sk0_11(sk0_6(the_carrier(sk0_0)),sk0_0))|sk0_13(X0,sk0_6(the_carrier(sk0_0)),sk0_0)=X0|~spl0_119)),
% 1.27/0.59 inference(resolution,[status(thm)],[f839,f104])).
% 1.27/0.59 fof(f985,plain,(
% 1.27/0.59 spl0_37|spl0_146|~spl0_119),
% 1.27/0.59 inference(split_clause,[status(thm)],[f984,f373,f981,f838])).
% 1.27/0.59 fof(f987,plain,(
% 1.27/0.59 spl0_147 <=> ~in(X0,sk0_11(sk0_1,sk0_0))|sk0_13(X0,sk0_1,sk0_0)=X0),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f988,plain,(
% 1.27/0.59 ![X0]: (~in(X0,sk0_11(sk0_1,sk0_0))|sk0_13(X0,sk0_1,sk0_0)=X0|~spl0_147)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f987])).
% 1.27/0.59 fof(f990,plain,(
% 1.27/0.59 ![X0]: (pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_11(sk0_1,sk0_0))|sk0_13(X0,sk0_1,sk0_0)=X0|~spl0_119)),
% 1.27/0.59 inference(resolution,[status(thm)],[f839,f37])).
% 1.27/0.59 fof(f991,plain,(
% 1.27/0.59 spl0_7|spl0_147|~spl0_119),
% 1.27/0.59 inference(split_clause,[status(thm)],[f990,f189,f987,f838])).
% 1.27/0.59 fof(f992,plain,(
% 1.27/0.59 sk0_12(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_1,sk0_0)=sk0_2(sk0_11(sk0_1,sk0_0))|~spl0_140|~spl0_89),
% 1.27/0.59 inference(resolution,[status(thm)],[f950,f671])).
% 1.27/0.59 fof(f1000,plain,(
% 1.27/0.59 sk0_13(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_1,sk0_0)=sk0_2(sk0_11(sk0_1,sk0_0))|~spl0_147|~spl0_89),
% 1.27/0.59 inference(resolution,[status(thm)],[f988,f671])).
% 1.27/0.59 fof(f1151,plain,(
% 1.27/0.59 spl0_176 <=> element(sk0_1,powerset(the_carrier(sk0_0)))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f1153,plain,(
% 1.27/0.59 ~element(sk0_1,powerset(the_carrier(sk0_0)))|spl0_176),
% 1.27/0.59 inference(component_clause,[status(thm)],[f1151])).
% 1.27/0.59 fof(f1159,plain,(
% 1.27/0.59 spl0_178 <=> in(sk0_2(sk0_11(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f1160,plain,(
% 1.27/0.59 in(sk0_2(sk0_11(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_178),
% 1.27/0.59 inference(component_clause,[status(thm)],[f1159])).
% 1.27/0.59 fof(f1162,plain,(
% 1.27/0.59 ~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|in(sk0_2(sk0_11(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_140|~spl0_89),
% 1.27/0.59 inference(paramodulation,[status(thm)],[f992,f129])).
% 1.27/0.59 fof(f1163,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|~spl0_176|spl0_7|~spl0_89|spl0_178|~spl0_140),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1162,f152,f788,f1151,f189,f670,f1159,f949])).
% 1.27/0.59 fof(f1164,plain,(
% 1.27/0.59 $false|spl0_176),
% 1.27/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1153,f37])).
% 1.27/0.59 fof(f1165,plain,(
% 1.27/0.59 spl0_176),
% 1.27/0.59 inference(contradiction_clause,[status(thm)],[f1164])).
% 1.27/0.59 fof(f1173,plain,(
% 1.27/0.59 spl0_180 <=> ~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~sk0_12(X2,X3,sk0_0)=X1|~sk0_7(sk0_0)=X1|~subset(X0,X1)|~element(X3,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X3,sk0_0),sk0_9(X3,sk0_0),sk0_8(X3,sk0_0),X3,sk0_0)|~in(X2,sk0_11(X3,sk0_0))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f1176,plain,(
% 1.27/0.59 ![X0,X1,X2,X3]: (~element(X0,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X0,sk0_0),sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),X0,sk0_0)|in(X1,sk0_11(X0,sk0_0))|~sk0_12(X2,X3,sk0_0)=X1|~sk0_7(sk0_0)=X1|~subset(X0,X1)|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X3,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X3,sk0_0),sk0_9(X3,sk0_0),sk0_8(X3,sk0_0),X3,sk0_0)|~in(X2,sk0_11(X3,sk0_0))|~spl0_116)),
% 1.27/0.59 inference(resolution,[status(thm)],[f810,f129])).
% 1.27/0.59 fof(f1177,plain,(
% 1.27/0.59 spl0_180|~spl0_0|~spl0_111|~spl0_116),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1176,f1173,f152,f788,f809])).
% 1.27/0.59 fof(f1183,plain,(
% 1.27/0.59 spl0_182 <=> ~element(X0,powerset(the_carrier(sk0_0)))|~X0=sk0_2(sk0_11(sk0_1,sk0_0))|~closed_subset(X0,sk0_0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f1184,plain,(
% 1.27/0.59 ![X0]: (~element(X0,powerset(the_carrier(sk0_0)))|~X0=sk0_2(sk0_11(sk0_1,sk0_0))|~closed_subset(X0,sk0_0)|~spl0_182)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f1183])).
% 1.27/0.59 fof(f1186,plain,(
% 1.27/0.59 ![X0]: (~in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|~element(X0,powerset(the_carrier(sk0_0)))|~X0=sk0_2(sk0_11(sk0_1,sk0_0))|~closed_subset(X0,sk0_0)|~subset(sk0_1,sk0_2(sk0_11(sk0_1,sk0_0)))|~spl0_178)),
% 1.27/0.59 inference(resolution,[status(thm)],[f1160,f43])).
% 1.27/0.59 fof(f1187,plain,(
% 1.27/0.59 ~spl0_89|spl0_182|~spl0_9|~spl0_178),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1186,f670,f1183,f209,f1159])).
% 1.27/0.59 fof(f1191,plain,(
% 1.27/0.59 subset(sk0_1,sk0_2(sk0_11(sk0_1,sk0_0)))|~spl0_89|~spl0_8),
% 1.27/0.59 inference(resolution,[status(thm)],[f671,f193])).
% 1.27/0.59 fof(f1194,plain,(
% 1.27/0.59 ~element(sk0_1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|closed_subset(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_0)|~spl0_120|~spl0_147|~spl0_89),
% 1.27/0.59 inference(paramodulation,[status(thm)],[f1000,f844])).
% 1.27/0.59 fof(f1195,plain,(
% 1.27/0.59 ~spl0_176|spl0_7|~spl0_89|spl0_103|~spl0_120|~spl0_147),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1194,f1151,f189,f670,f746,f843,f987])).
% 1.27/0.59 fof(f1196,plain,(
% 1.27/0.59 ~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_1,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(sk0_1,sk0_0),sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|element(sk0_2(sk0_11(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_147|~spl0_89),
% 1.27/0.59 inference(paramodulation,[status(thm)],[f1000,f131])).
% 1.27/0.59 fof(f1197,plain,(
% 1.27/0.59 ~spl0_0|~spl0_111|~spl0_176|spl0_7|~spl0_89|spl0_102|~spl0_147),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1196,f152,f788,f1151,f189,f670,f741,f987])).
% 1.27/0.59 fof(f1198,plain,(
% 1.27/0.59 sk0_3(sk0_11(sk0_1,sk0_0))=sk0_2(sk0_11(sk0_1,sk0_0))|spl0_89),
% 1.27/0.59 inference(resolution,[status(thm)],[f672,f40])).
% 1.27/0.59 fof(f1199,plain,(
% 1.27/0.59 spl0_10|spl0_89),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1198,f212,f670])).
% 1.27/0.59 fof(f1200,plain,(
% 1.27/0.59 spl0_183 <=> ~sk0_2(X0)=sk0_2(sk0_11(sk0_1,sk0_0))|in(sk0_2(X0),X0)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f1201,plain,(
% 1.27/0.59 ![X0]: (~sk0_2(X0)=sk0_2(sk0_11(sk0_1,sk0_0))|in(sk0_2(X0),X0)|~spl0_183)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f1200])).
% 1.27/0.59 fof(f1203,plain,(
% 1.27/0.59 spl0_184 <=> ~sk0_3(X1)=sk0_2(sk0_11(sk0_1,sk0_0))|in(sk0_2(X1),X1)),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f1204,plain,(
% 1.27/0.59 ![X0]: (~sk0_3(X0)=sk0_2(sk0_11(sk0_1,sk0_0))|in(sk0_2(X0),X0)|~spl0_184)),
% 1.27/0.59 inference(component_clause,[status(thm)],[f1203])).
% 1.27/0.59 fof(f1206,plain,(
% 1.27/0.59 ![X0,X1]: (~sk0_2(X0)=sk0_2(sk0_11(sk0_1,sk0_0))|~sk0_3(X1)=sk0_2(sk0_11(sk0_1,sk0_0))|~subset(sk0_1,sk0_2(sk0_11(sk0_1,sk0_0)))|in(sk0_2(X1),X1)|in(sk0_2(X0),X0)|spl0_89|~spl0_36)),
% 1.27/0.59 inference(resolution,[status(thm)],[f672,f364])).
% 1.27/0.59 fof(f1207,plain,(
% 1.27/0.59 spl0_183|spl0_184|~spl0_9|spl0_89|~spl0_36),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1206,f1200,f1203,f209,f670,f363])).
% 1.27/0.59 fof(f1213,plain,(
% 1.27/0.59 in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|spl0_9),
% 1.27/0.59 inference(resolution,[status(thm)],[f211,f42])).
% 1.27/0.59 fof(f1214,plain,(
% 1.27/0.59 spl0_89|spl0_9),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1213,f670,f209])).
% 1.27/0.59 fof(f1255,plain,(
% 1.27/0.59 in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|~spl0_184|~spl0_10),
% 1.27/0.59 inference(resolution,[status(thm)],[f1204,f213])).
% 1.27/0.59 fof(f1256,plain,(
% 1.27/0.59 spl0_89|~spl0_184|~spl0_10),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1255,f670,f1203,f212])).
% 1.27/0.59 fof(f1257,plain,(
% 1.27/0.59 spl0_186 <=> sk0_2(sk0_11(sk0_1,sk0_0))=sk0_2(sk0_11(sk0_1,sk0_0))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f1259,plain,(
% 1.27/0.59 ~sk0_2(sk0_11(sk0_1,sk0_0))=sk0_2(sk0_11(sk0_1,sk0_0))|spl0_186),
% 1.27/0.59 inference(component_clause,[status(thm)],[f1257])).
% 1.27/0.59 fof(f1264,plain,(
% 1.27/0.59 $false|spl0_186),
% 1.27/0.59 inference(equality_resolution,[status(esa)],[f1259])).
% 1.27/0.59 fof(f1265,plain,(
% 1.27/0.59 spl0_186),
% 1.27/0.59 inference(contradiction_clause,[status(thm)],[f1264])).
% 1.27/0.59 fof(f1266,plain,(
% 1.27/0.59 in(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_11(sk0_1,sk0_0))|~spl0_183),
% 1.27/0.59 inference(equality_resolution,[status(esa)],[f1201])).
% 1.27/0.59 fof(f1267,plain,(
% 1.27/0.59 spl0_89|~spl0_183),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1266,f670,f1200])).
% 1.27/0.59 fof(f1268,plain,(
% 1.27/0.59 spl0_9|~spl0_89|~spl0_8),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1191,f209,f670,f192])).
% 1.27/0.59 fof(f1269,plain,(
% 1.27/0.59 spl0_187 <=> ~pd0_0(X0,X1,X2,X3,sk0_0)|~element(X4,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X4,sk0_0),sk0_9(X4,sk0_0),sk0_8(X4,sk0_0),X4,sk0_0)|in(X5,sk0_11(X4,sk0_0))|~sk0_12(X6,X7,sk0_0)=X5|~sk0_14(X0,X1,X2,X3,sk0_0)=X5|~subset(X4,X5)|~element(X7,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X7,sk0_0),sk0_9(X7,sk0_0),sk0_8(X7,sk0_0),X7,sk0_0)|~in(X6,sk0_11(X7,sk0_0))),
% 1.27/0.59 introduced(split_symbol_definition)).
% 1.27/0.59 fof(f1272,plain,(
% 1.27/0.59 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~pd0_0(X0,X1,X2,X3,sk0_0)|~element(X4,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X4,sk0_0),sk0_9(X4,sk0_0),sk0_8(X4,sk0_0),X4,sk0_0)|in(X5,sk0_11(X4,sk0_0))|~sk0_12(X6,X7,sk0_0)=X5|~sk0_14(X0,X1,X2,X3,sk0_0)=X5|~subset(X4,X5)|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X7,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X7,sk0_0),sk0_9(X7,sk0_0),sk0_8(X7,sk0_0),X7,sk0_0)|~in(X6,sk0_11(X7,sk0_0))|~spl0_6)),
% 1.27/0.59 inference(resolution,[status(thm)],[f825,f129])).
% 1.27/0.59 fof(f1273,plain,(
% 1.27/0.59 spl0_187|~spl0_0|~spl0_111|~spl0_6),
% 1.27/0.59 inference(split_clause,[status(thm)],[f1272,f1269,f152,f788,f176])).
% 1.27/0.59 fof(f1284,plain,(
% 1.27/0.59 spl0_189 <=> ~pd0_0(X0,X1,X2,X3,sk0_0)|~element(X4,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X4,sk0_0),sk0_9(X4,sk0_0),sk0_8(X4,sk0_0),X4,sk0_0)|in(X5,sk0_11(X4,sk0_0))|~sk0_12(X6,X7,sk0_0)=X5|~sk0_15(X0,X1,X2,X3,sk0_0)=X5|~subset(X4,X5)|~element(X7,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X7,sk0_0),sk0_9(X7,sk0_0),sk0_8(X7,sk0_0),X7,sk0_0)|~in(X6,sk0_11(X7,sk0_0))),
% 1.27/0.60 introduced(split_symbol_definition)).
% 1.27/0.60 fof(f1287,plain,(
% 1.27/0.60 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~pd0_0(X0,X1,X2,X3,sk0_0)|~element(X4,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X4,sk0_0),sk0_9(X4,sk0_0),sk0_8(X4,sk0_0),X4,sk0_0)|in(X5,sk0_11(X4,sk0_0))|~sk0_12(X6,X7,sk0_0)=X5|~sk0_15(X0,X1,X2,X3,sk0_0)=X5|~subset(X4,X5)|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X7,powerset(the_carrier(sk0_0)))|pd0_0(sk0_10(X7,sk0_0),sk0_9(X7,sk0_0),sk0_8(X7,sk0_0),X7,sk0_0)|~in(X6,sk0_11(X7,sk0_0))|~spl0_6)),
% 1.27/0.60 inference(resolution,[status(thm)],[f831,f129])).
% 1.27/0.60 fof(f1288,plain,(
% 1.27/0.60 spl0_189|~spl0_0|~spl0_111|~spl0_6),
% 1.27/0.60 inference(split_clause,[status(thm)],[f1287,f1284,f152,f788,f176])).
% 1.27/0.60 fof(f1338,plain,(
% 1.27/0.60 ~sk0_2(sk0_11(sk0_1,sk0_0))=sk0_2(sk0_11(sk0_1,sk0_0))|~closed_subset(sk0_2(sk0_11(sk0_1,sk0_0)),sk0_0)|~spl0_182|~spl0_102),
% 1.27/0.60 inference(resolution,[status(thm)],[f1184,f742])).
% 1.27/0.60 fof(f1339,plain,(
% 1.27/0.60 ~spl0_186|~spl0_103|~spl0_182|~spl0_102),
% 1.27/0.60 inference(split_clause,[status(thm)],[f1338,f1257,f746,f1183,f741])).
% 1.27/0.60 fof(f1359,plain,(
% 1.27/0.60 $false),
% 1.27/0.60 inference(sat_refutation,[status(thm)],[f159,f161,f180,f196,f208,f367,f380,f408,f484,f787,f808,f813,f820,f837,f842,f847,f852,f857,f863,f868,f873,f878,f882,f920,f947,f953,f958,f985,f991,f1163,f1165,f1177,f1187,f1195,f1197,f1199,f1207,f1214,f1256,f1265,f1267,f1268,f1273,f1288,f1339])).
% 1.27/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.27/0.60 % Elapsed time: 0.252648 seconds
% 1.27/0.60 % CPU time: 1.734124 seconds
% 1.27/0.60 % Memory used: 74.032 MB
%------------------------------------------------------------------------------