TSTP Solution File: SEU310+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:40 EDT 2023
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 09:06:42 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.20/0.36 % Refutation found
% 0.20/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.36 fof(f1,conjecture,(
% 0.20/0.36 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (? [C] :(! [D] :( in(D,C)<=> ( in(D,powerset(the_carrier(A)))& in(set_difference(cast_as_carrier_subset(A),D),B) ) ) ))) )),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f2,negated_conjecture,(
% 0.20/0.36 ~((! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (? [C] :(! [D] :( in(D,C)<=> ( in(D,powerset(the_carrier(A)))& in(set_difference(cast_as_carrier_subset(A),D),B) ) ) ))) ))),
% 0.20/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.36 fof(f24,axiom,(
% 0.20/0.36 (! [A] :( ( topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& closed_subset(B,A) ) )) )),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f25,axiom,(
% 0.20/0.36 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f26,axiom,(
% 0.20/0.36 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f28,axiom,(
% 0.20/0.36 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f35,axiom,(
% 0.20/0.36 (! [A] :( ( topological_space(A)& top_str(A) )=> closed_subset(cast_as_carrier_subset(A),A) ) )),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f36,axiom,(
% 0.20/0.36 (! [A] : ~ empty(powerset(A)) )),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f37,axiom,(
% 0.20/0.36 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> ( (! [C,D,E] :( ( C = D& in(set_difference(cast_as_carrier_subset(A),D),B)& C = E& in(set_difference(cast_as_carrier_subset(A),E),B) )=> D = E ))=> (? [C] :(! [D] :( in(D,C)<=> (? [E] :( in(E,powerset(the_carrier(A)))& E = D& in(set_difference(cast_as_carrier_subset(A),D),B) ) )) ))) ) )),
% 0.20/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f38,plain,(
% 0.20/0.36 (?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(powerset(the_carrier(A)))))&(![C]: ?[D]: (in(D,C)<~>(in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B))))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.20/0.36 fof(f39,plain,(
% 0.20/0.36 ?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(powerset(the_carrier(A)))))&(![C]: ?[D]: ((in(D,C)|(in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B)))&(~in(D,C)|(~in(D,powerset(the_carrier(A)))|~in(set_difference(cast_as_carrier_subset(A),D),B))))))),
% 0.20/0.36 inference(NNF_transformation,[status(esa)],[f38])).
% 0.20/0.36 fof(f40,plain,(
% 0.20/0.36 (((topological_space(sk0_0)&top_str(sk0_0))&element(sk0_1,powerset(powerset(the_carrier(sk0_0)))))&(![C]: ((in(sk0_2(C),C)|(in(sk0_2(C),powerset(the_carrier(sk0_0)))&in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(C)),sk0_1)))&(~in(sk0_2(C),C)|(~in(sk0_2(C),powerset(the_carrier(sk0_0)))|~in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(C)),sk0_1))))))),
% 0.20/0.36 inference(skolemization,[status(esa)],[f39])).
% 0.20/0.36 fof(f41,plain,(
% 0.20/0.36 topological_space(sk0_0)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.36 fof(f42,plain,(
% 0.20/0.36 top_str(sk0_0)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.36 fof(f43,plain,(
% 0.20/0.36 element(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.36 fof(f44,plain,(
% 0.20/0.36 ![X0]: (in(sk0_2(X0),X0)|in(sk0_2(X0),powerset(the_carrier(sk0_0))))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.36 fof(f45,plain,(
% 0.20/0.36 ![X0]: (in(sk0_2(X0),X0)|in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(X0)),sk0_1))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.36 fof(f46,plain,(
% 0.20/0.36 ![X0]: (~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(X0)),sk0_1))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.36 fof(f127,plain,(
% 0.20/0.36 ![A]: ((~topological_space(A)|~top_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&closed_subset(B,A))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.20/0.36 fof(f128,plain,(
% 0.20/0.36 ![A]: ((~topological_space(A)|~top_str(A))|(element(sk0_4(A),powerset(the_carrier(A)))&closed_subset(sk0_4(A),A)))),
% 0.20/0.36 inference(skolemization,[status(esa)],[f127])).
% 0.20/0.36 fof(f130,plain,(
% 0.20/0.36 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(sk0_4(X0),X0))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f128])).
% 0.20/0.36 fof(f131,plain,(
% 0.20/0.36 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.20/0.36 fof(f132,plain,(
% 0.20/0.36 ![A]: (empty(A)|(element(sk0_5(A),powerset(A))&~empty(sk0_5(A))))),
% 0.20/0.36 inference(skolemization,[status(esa)],[f131])).
% 0.20/0.36 fof(f133,plain,(
% 0.20/0.36 ![X0]: (empty(X0)|element(sk0_5(X0),powerset(X0)))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f132])).
% 0.20/0.36 fof(f135,plain,(
% 0.20/0.36 ![A]: (element(sk0_6(A),powerset(A))&empty(sk0_6(A)))),
% 0.20/0.36 inference(skolemization,[status(esa)],[f26])).
% 0.20/0.36 fof(f136,plain,(
% 0.20/0.36 ![X0]: (element(sk0_6(X0),powerset(X0)))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f135])).
% 0.20/0.36 fof(f144,plain,(
% 0.20/0.36 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.20/0.36 fof(f145,plain,(
% 0.20/0.36 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f144])).
% 0.20/0.36 fof(f150,plain,(
% 0.20/0.36 ![A]: ((~topological_space(A)|~top_str(A))|closed_subset(cast_as_carrier_subset(A),A))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.20/0.36 fof(f151,plain,(
% 0.20/0.36 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(cast_as_carrier_subset(X0),X0))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f150])).
% 0.20/0.36 fof(f152,plain,(
% 0.20/0.36 ![X0]: (~empty(powerset(X0)))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f36])).
% 0.20/0.36 fof(f153,plain,(
% 0.20/0.36 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(powerset(the_carrier(A)))))|((?[C,D,E]: ((((C=D&in(set_difference(cast_as_carrier_subset(A),D),B))&C=E)&in(set_difference(cast_as_carrier_subset(A),E),B))&~D=E))|(?[C]: ![D]: (in(D,C)<=>(?[E]: ((in(E,powerset(the_carrier(A)))&E=D)&in(set_difference(cast_as_carrier_subset(A),D),B)))))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.20/0.36 fof(f154,plain,(
% 0.20/0.36 ![A,B,C,D,E]: (pd0_0(E,D,C,B,A)=>((((C=D&in(set_difference(cast_as_carrier_subset(A),D),B))&C=E)&in(set_difference(cast_as_carrier_subset(A),E),B))&~D=E))),
% 0.20/0.36 introduced(predicate_definition,[f153])).
% 0.20/0.36 fof(f155,plain,(
% 0.20/0.36 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(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)&in(set_difference(cast_as_carrier_subset(A),D),B)))))))),
% 0.20/0.36 inference(formula_renaming,[status(thm)],[f153,f154])).
% 0.20/0.36 fof(f156,plain,(
% 0.20/0.36 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(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)&in(set_difference(cast_as_carrier_subset(A),D),B))))&(in(D,C)|(![E]: ((~in(E,powerset(the_carrier(A)))|~E=D)|~in(set_difference(cast_as_carrier_subset(A),D),B))))))))),
% 0.20/0.36 inference(NNF_transformation,[status(esa)],[f155])).
% 0.20/0.36 fof(f157,plain,(
% 0.20/0.36 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(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))&in(set_difference(cast_as_carrier_subset(A),D),B))))&(![D]: (in(D,C)|((![E]: (~in(E,powerset(the_carrier(A)))|~E=D))|~in(set_difference(cast_as_carrier_subset(A),D),B))))))))),
% 0.20/0.36 inference(miniscoping,[status(esa)],[f156])).
% 0.20/0.36 fof(f158,plain,(
% 0.20/0.36 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(powerset(the_carrier(A)))))|(pd0_0(sk0_9(B,A),sk0_8(B,A),sk0_7(B,A),B,A)|((![D]: (~in(D,sk0_10(B,A))|((in(sk0_11(D,B,A),powerset(the_carrier(A)))&sk0_11(D,B,A)=D)&in(set_difference(cast_as_carrier_subset(A),D),B))))&(![D]: (in(D,sk0_10(B,A))|((![E]: (~in(E,powerset(the_carrier(A)))|~E=D))|~in(set_difference(cast_as_carrier_subset(A),D),B)))))))),
% 0.20/0.36 inference(skolemization,[status(esa)],[f157])).
% 0.20/0.36 fof(f159,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_9(X1,X0),sk0_8(X1,X0),sk0_7(X1,X0),X1,X0)|~in(X2,sk0_10(X1,X0))|in(sk0_11(X2,X1,X0),powerset(the_carrier(X0))))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f158])).
% 0.20/0.36 fof(f160,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_9(X1,X0),sk0_8(X1,X0),sk0_7(X1,X0),X1,X0)|~in(X2,sk0_10(X1,X0))|sk0_11(X2,X1,X0)=X2)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f158])).
% 0.20/0.36 fof(f161,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_9(X1,X0),sk0_8(X1,X0),sk0_7(X1,X0),X1,X0)|~in(X2,sk0_10(X1,X0))|in(set_difference(cast_as_carrier_subset(X0),X2),X1))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f158])).
% 0.20/0.36 fof(f162,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_9(X1,X0),sk0_8(X1,X0),sk0_7(X1,X0),X1,X0)|in(X2,sk0_10(X1,X0))|~in(X3,powerset(the_carrier(X0)))|~X3=X2|~in(set_difference(cast_as_carrier_subset(X0),X2),X1))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f158])).
% 0.20/0.36 fof(f163,plain,(
% 0.20/0.36 ![A,B,C,D,E]: (~pd0_0(E,D,C,B,A)|((((C=D&in(set_difference(cast_as_carrier_subset(A),D),B))&C=E)&in(set_difference(cast_as_carrier_subset(A),E),B))&~D=E))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f154])).
% 0.20/0.36 fof(f164,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X1)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f163])).
% 0.20/0.36 fof(f165,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|in(set_difference(cast_as_carrier_subset(X4),X1),X3))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f163])).
% 0.20/0.36 fof(f166,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=X0)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f163])).
% 0.20/0.36 fof(f167,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|in(set_difference(cast_as_carrier_subset(X4),X0),X3))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f163])).
% 0.20/0.36 fof(f168,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~X1=X0)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f163])).
% 0.20/0.36 fof(f171,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~pd0_0(X0,sk0_2(X1),X2,sk0_1,sk0_0)|~in(sk0_2(X1),X1)|~in(sk0_2(X1),powerset(the_carrier(sk0_0))))),
% 0.20/0.36 inference(resolution,[status(thm)],[f165,f46])).
% 0.20/0.36 fof(f173,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~pd0_0(sk0_2(X0),X1,X2,sk0_1,sk0_0)|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(the_carrier(sk0_0))))),
% 0.20/0.36 inference(resolution,[status(thm)],[f167,f46])).
% 0.20/0.36 fof(f185,plain,(
% 0.20/0.36 spl0_0 <=> topological_space(sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f187,plain,(
% 0.20/0.36 ~topological_space(sk0_0)|spl0_0),
% 0.20/0.36 inference(component_clause,[status(thm)],[f185])).
% 0.20/0.36 fof(f188,plain,(
% 0.20/0.36 spl0_1 <=> closed_subset(sk0_4(sk0_0),sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f191,plain,(
% 0.20/0.36 ~topological_space(sk0_0)|closed_subset(sk0_4(sk0_0),sk0_0)),
% 0.20/0.36 inference(resolution,[status(thm)],[f130,f42])).
% 0.20/0.36 fof(f192,plain,(
% 0.20/0.36 ~spl0_0|spl0_1),
% 0.20/0.36 inference(split_clause,[status(thm)],[f191,f185,f188])).
% 0.20/0.36 fof(f193,plain,(
% 0.20/0.36 $false|spl0_0),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f187,f41])).
% 0.20/0.36 fof(f194,plain,(
% 0.20/0.36 spl0_0),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f193])).
% 0.20/0.36 fof(f195,plain,(
% 0.20/0.36 spl0_2 <=> closed_subset(cast_as_carrier_subset(sk0_0),sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f198,plain,(
% 0.20/0.36 ~topological_space(sk0_0)|closed_subset(cast_as_carrier_subset(sk0_0),sk0_0)),
% 0.20/0.36 inference(resolution,[status(thm)],[f151,f42])).
% 0.20/0.36 fof(f199,plain,(
% 0.20/0.36 ~spl0_0|spl0_2),
% 0.20/0.36 inference(split_clause,[status(thm)],[f198,f185,f195])).
% 0.20/0.36 fof(f200,plain,(
% 0.20/0.36 spl0_3 <=> ~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_10(X0,sk0_0))|sk0_11(X1,X0,sk0_0)=X1),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f201,plain,(
% 0.20/0.36 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_10(X0,sk0_0))|sk0_11(X1,X0,sk0_0)=X1|~spl0_3)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f200])).
% 0.20/0.36 fof(f203,plain,(
% 0.20/0.36 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_10(X0,sk0_0))|sk0_11(X1,X0,sk0_0)=X1)),
% 0.20/0.36 inference(resolution,[status(thm)],[f160,f42])).
% 0.20/0.36 fof(f204,plain,(
% 0.20/0.36 ~spl0_0|spl0_3),
% 0.20/0.36 inference(split_clause,[status(thm)],[f203,f185,f200])).
% 0.20/0.36 fof(f205,plain,(
% 0.20/0.36 spl0_4 <=> ~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_10(X0,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f206,plain,(
% 0.20/0.36 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_10(X0,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0)|~spl0_4)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f205])).
% 0.20/0.36 fof(f208,plain,(
% 0.20/0.36 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|~in(X1,sk0_10(X0,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0))),
% 0.20/0.36 inference(resolution,[status(thm)],[f161,f42])).
% 0.20/0.36 fof(f209,plain,(
% 0.20/0.36 ~spl0_0|spl0_4),
% 0.20/0.36 inference(split_clause,[status(thm)],[f208,f185,f205])).
% 0.20/0.36 fof(f210,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|pd0_0(sk0_9(X1,X0),sk0_8(X1,X0),sk0_7(X1,X0),X1,X0)|~in(X2,sk0_10(X1,X0))|~in(powerset(the_carrier(X0)),sk0_11(X2,X1,X0)))),
% 0.20/0.36 inference(resolution,[status(thm)],[f159,f145])).
% 0.20/0.36 fof(f211,plain,(
% 0.20/0.36 spl0_5 <=> ~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|in(X1,sk0_10(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f212,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|in(X1,sk0_10(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0)|~spl0_5)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f211])).
% 0.20/0.36 fof(f214,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~topological_space(sk0_0)|~element(X0,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X0,sk0_0),sk0_8(X0,sk0_0),sk0_7(X0,sk0_0),X0,sk0_0)|in(X1,sk0_10(X0,sk0_0))|~in(X2,powerset(the_carrier(sk0_0)))|~X2=X1|~in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0))),
% 0.20/0.36 inference(resolution,[status(thm)],[f162,f42])).
% 0.20/0.36 fof(f215,plain,(
% 0.20/0.36 ~spl0_0|spl0_5),
% 0.20/0.36 inference(split_clause,[status(thm)],[f214,f185,f211])).
% 0.20/0.36 fof(f216,plain,(
% 0.20/0.36 spl0_6 <=> pd0_0(sk0_9(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f217,plain,(
% 0.20/0.36 pd0_0(sk0_9(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_6),
% 0.20/0.36 inference(component_clause,[status(thm)],[f216])).
% 0.20/0.36 fof(f219,plain,(
% 0.20/0.36 spl0_7 <=> ~in(X0,sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|sk0_11(X0,sk0_5(powerset(the_carrier(sk0_0))),sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f220,plain,(
% 0.20/0.36 ![X0]: (~in(X0,sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|sk0_11(X0,sk0_5(powerset(the_carrier(sk0_0))),sk0_0)=X0|~spl0_7)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f219])).
% 0.20/0.36 fof(f222,plain,(
% 0.20/0.36 spl0_8 <=> empty(powerset(the_carrier(sk0_0)))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f223,plain,(
% 0.20/0.36 empty(powerset(the_carrier(sk0_0)))|~spl0_8),
% 0.20/0.36 inference(component_clause,[status(thm)],[f222])).
% 0.20/0.36 fof(f225,plain,(
% 0.20/0.36 ![X0]: (pd0_0(sk0_9(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|sk0_11(X0,sk0_5(powerset(the_carrier(sk0_0))),sk0_0)=X0|empty(powerset(the_carrier(sk0_0)))|~spl0_3)),
% 0.20/0.36 inference(resolution,[status(thm)],[f201,f133])).
% 0.20/0.36 fof(f226,plain,(
% 0.20/0.36 spl0_6|spl0_7|spl0_8|~spl0_3),
% 0.20/0.36 inference(split_clause,[status(thm)],[f225,f216,f219,f222,f200])).
% 0.20/0.36 fof(f227,plain,(
% 0.20/0.36 spl0_9 <=> pd0_0(sk0_9(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f228,plain,(
% 0.20/0.36 pd0_0(sk0_9(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 0.20/0.36 inference(component_clause,[status(thm)],[f227])).
% 0.20/0.36 fof(f230,plain,(
% 0.20/0.36 spl0_10 <=> ~in(X0,sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|sk0_11(X0,sk0_6(powerset(the_carrier(sk0_0))),sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f231,plain,(
% 0.20/0.36 ![X0]: (~in(X0,sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|sk0_11(X0,sk0_6(powerset(the_carrier(sk0_0))),sk0_0)=X0|~spl0_10)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f230])).
% 0.20/0.36 fof(f233,plain,(
% 0.20/0.36 ![X0]: (pd0_0(sk0_9(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|sk0_11(X0,sk0_6(powerset(the_carrier(sk0_0))),sk0_0)=X0|~spl0_3)),
% 0.20/0.36 inference(resolution,[status(thm)],[f201,f136])).
% 0.20/0.36 fof(f234,plain,(
% 0.20/0.36 spl0_9|spl0_10|~spl0_3),
% 0.20/0.36 inference(split_clause,[status(thm)],[f233,f227,f230,f200])).
% 0.20/0.36 fof(f235,plain,(
% 0.20/0.36 spl0_11 <=> pd0_0(sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_1,sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f236,plain,(
% 0.20/0.36 pd0_0(sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_11),
% 0.20/0.36 inference(component_clause,[status(thm)],[f235])).
% 0.20/0.36 fof(f238,plain,(
% 0.20/0.36 spl0_12 <=> ~in(X0,sk0_10(sk0_1,sk0_0))|sk0_11(X0,sk0_1,sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f239,plain,(
% 0.20/0.36 ![X0]: (~in(X0,sk0_10(sk0_1,sk0_0))|sk0_11(X0,sk0_1,sk0_0)=X0|~spl0_12)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f238])).
% 0.20/0.36 fof(f241,plain,(
% 0.20/0.36 ![X0]: (pd0_0(sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_10(sk0_1,sk0_0))|sk0_11(X0,sk0_1,sk0_0)=X0|~spl0_3)),
% 0.20/0.36 inference(resolution,[status(thm)],[f201,f43])).
% 0.20/0.36 fof(f242,plain,(
% 0.20/0.36 spl0_11|spl0_12|~spl0_3),
% 0.20/0.36 inference(split_clause,[status(thm)],[f241,f235,f238,f200])).
% 0.20/0.36 fof(f243,plain,(
% 0.20/0.36 $false|~spl0_8),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f223,f152])).
% 0.20/0.36 fof(f244,plain,(
% 0.20/0.36 ~spl0_8),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f243])).
% 0.20/0.36 fof(f245,plain,(
% 0.20/0.36 spl0_13 <=> ~in(X0,sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_5(powerset(the_carrier(sk0_0))))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f248,plain,(
% 0.20/0.36 ![X0]: (pd0_0(sk0_9(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_5(powerset(the_carrier(sk0_0))))|empty(powerset(the_carrier(sk0_0)))|~spl0_4)),
% 0.20/0.36 inference(resolution,[status(thm)],[f206,f133])).
% 0.20/0.36 fof(f249,plain,(
% 0.20/0.36 spl0_6|spl0_13|spl0_8|~spl0_4),
% 0.20/0.36 inference(split_clause,[status(thm)],[f248,f216,f245,f222,f205])).
% 0.20/0.36 fof(f250,plain,(
% 0.20/0.36 spl0_14 <=> ~in(X0,sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_6(powerset(the_carrier(sk0_0))))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f253,plain,(
% 0.20/0.36 ![X0]: (pd0_0(sk0_9(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)|~in(X0,sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_6(powerset(the_carrier(sk0_0))))|~spl0_4)),
% 0.20/0.36 inference(resolution,[status(thm)],[f206,f136])).
% 0.20/0.36 fof(f254,plain,(
% 0.20/0.36 spl0_9|spl0_14|~spl0_4),
% 0.20/0.36 inference(split_clause,[status(thm)],[f253,f227,f250,f205])).
% 0.20/0.36 fof(f255,plain,(
% 0.20/0.36 spl0_15 <=> ~in(X0,sk0_10(sk0_1,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f256,plain,(
% 0.20/0.36 ![X0]: (~in(X0,sk0_10(sk0_1,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)|~spl0_15)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f255])).
% 0.20/0.36 fof(f258,plain,(
% 0.20/0.36 ![X0]: (pd0_0(sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_1,sk0_0)|~in(X0,sk0_10(sk0_1,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)|~spl0_4)),
% 0.20/0.36 inference(resolution,[status(thm)],[f206,f43])).
% 0.20/0.36 fof(f259,plain,(
% 0.20/0.36 spl0_11|spl0_15|~spl0_4),
% 0.20/0.36 inference(split_clause,[status(thm)],[f258,f235,f255,f205])).
% 0.20/0.36 fof(f260,plain,(
% 0.20/0.36 spl0_16 <=> in(X0,sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_5(powerset(the_carrier(sk0_0))))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f263,plain,(
% 0.20/0.36 ![X0,X1]: (pd0_0(sk0_9(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)|in(X0,sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_5(powerset(the_carrier(sk0_0))))|empty(powerset(the_carrier(sk0_0)))|~spl0_5)),
% 0.20/0.36 inference(resolution,[status(thm)],[f212,f133])).
% 0.20/0.36 fof(f264,plain,(
% 0.20/0.36 spl0_6|spl0_16|spl0_8|~spl0_5),
% 0.20/0.36 inference(split_clause,[status(thm)],[f263,f216,f260,f222,f211])).
% 0.20/0.36 fof(f265,plain,(
% 0.20/0.36 spl0_17 <=> in(X0,sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_6(powerset(the_carrier(sk0_0))))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f268,plain,(
% 0.20/0.36 ![X0,X1]: (pd0_0(sk0_9(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_8(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)|in(X0,sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_6(powerset(the_carrier(sk0_0))))|~spl0_5)),
% 0.20/0.36 inference(resolution,[status(thm)],[f212,f136])).
% 0.20/0.36 fof(f269,plain,(
% 0.20/0.36 spl0_9|spl0_17|~spl0_5),
% 0.20/0.36 inference(split_clause,[status(thm)],[f268,f227,f265,f211])).
% 0.20/0.36 fof(f270,plain,(
% 0.20/0.36 spl0_18 <=> in(X0,sk0_10(sk0_1,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f271,plain,(
% 0.20/0.36 ![X0,X1]: (in(X0,sk0_10(sk0_1,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)|~spl0_18)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f270])).
% 0.20/0.36 fof(f273,plain,(
% 0.20/0.36 ![X0,X1]: (pd0_0(sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_1,sk0_0)|in(X0,sk0_10(sk0_1,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)|~spl0_5)),
% 0.20/0.36 inference(resolution,[status(thm)],[f212,f43])).
% 0.20/0.36 fof(f274,plain,(
% 0.20/0.36 spl0_11|spl0_18|~spl0_5),
% 0.20/0.36 inference(split_clause,[status(thm)],[f273,f235,f270,f211])).
% 0.20/0.36 fof(f275,plain,(
% 0.20/0.36 sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0)=sk0_9(sk0_6(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 0.20/0.36 inference(resolution,[status(thm)],[f228,f166])).
% 0.20/0.36 fof(f276,plain,(
% 0.20/0.36 sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0)=sk0_8(sk0_6(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 0.20/0.36 inference(resolution,[status(thm)],[f228,f164])).
% 0.20/0.36 fof(f277,plain,(
% 0.20/0.36 sk0_7(sk0_1,sk0_0)=sk0_9(sk0_1,sk0_0)|~spl0_11),
% 0.20/0.36 inference(resolution,[status(thm)],[f236,f166])).
% 0.20/0.36 fof(f278,plain,(
% 0.20/0.36 sk0_7(sk0_1,sk0_0)=sk0_8(sk0_1,sk0_0)|~spl0_11),
% 0.20/0.36 inference(resolution,[status(thm)],[f236,f164])).
% 0.20/0.36 fof(f279,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~pd0_0(sk0_9(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),X0,X1,X2)|~spl0_11)),
% 0.20/0.36 inference(resolution,[status(thm)],[f277,f168])).
% 0.20/0.36 fof(f284,plain,(
% 0.20/0.36 pd0_0(sk0_9(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_1,sk0_0)|~spl0_11),
% 0.20/0.36 inference(paramodulation,[status(thm)],[f278,f236])).
% 0.20/0.36 fof(f285,plain,(
% 0.20/0.36 $false|~spl0_11),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f284,f279])).
% 0.20/0.36 fof(f286,plain,(
% 0.20/0.36 ~spl0_11),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f285])).
% 0.20/0.36 fof(f289,plain,(
% 0.20/0.36 ![X0]: (~in(sk0_2(X0),sk0_10(sk0_1,sk0_0))|~in(sk0_2(X0),X0)|~in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~spl0_15)),
% 0.20/0.36 inference(resolution,[status(thm)],[f256,f46])).
% 0.20/0.36 fof(f291,plain,(
% 0.20/0.36 sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0)=sk0_9(sk0_5(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_6),
% 0.20/0.36 inference(resolution,[status(thm)],[f217,f166])).
% 0.20/0.36 fof(f292,plain,(
% 0.20/0.36 sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0)=sk0_8(sk0_5(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_6),
% 0.20/0.36 inference(resolution,[status(thm)],[f217,f164])).
% 0.20/0.36 fof(f293,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~pd0_0(sk0_9(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),X0,X1,X2)|~spl0_9)),
% 0.20/0.36 inference(resolution,[status(thm)],[f275,f168])).
% 0.20/0.36 fof(f298,plain,(
% 0.20/0.36 pd0_0(sk0_9(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_6(powerset(the_carrier(sk0_0))),sk0_0),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_9),
% 0.20/0.36 inference(paramodulation,[status(thm)],[f276,f228])).
% 0.20/0.36 fof(f299,plain,(
% 0.20/0.36 $false|~spl0_9),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f298,f293])).
% 0.20/0.36 fof(f300,plain,(
% 0.20/0.36 ~spl0_9),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f299])).
% 0.20/0.36 fof(f301,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~pd0_0(sk0_9(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),X0,X1,X2)|~spl0_6)),
% 0.20/0.36 inference(resolution,[status(thm)],[f291,f168])).
% 0.20/0.36 fof(f306,plain,(
% 0.20/0.36 pd0_0(sk0_9(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)|~spl0_6),
% 0.20/0.36 inference(paramodulation,[status(thm)],[f292,f217])).
% 0.20/0.36 fof(f307,plain,(
% 0.20/0.36 $false|~spl0_6),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f306,f301])).
% 0.20/0.36 fof(f308,plain,(
% 0.20/0.36 ~spl0_6),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f307])).
% 0.20/0.36 fof(f313,plain,(
% 0.20/0.36 ![X0,X1]: (in(sk0_2(X0),sk0_10(sk0_1,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=sk0_2(X0)|in(sk0_2(X0),X0)|~spl0_18)),
% 0.20/0.36 inference(resolution,[status(thm)],[f271,f45])).
% 0.20/0.36 fof(f314,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (in(X0,sk0_10(sk0_1,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~pd0_0(X0,X2,X3,sk0_1,sk0_0)|~spl0_18)),
% 0.20/0.36 inference(resolution,[status(thm)],[f271,f167])).
% 0.20/0.36 fof(f315,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (in(X0,sk0_10(sk0_1,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~X1=X0|~pd0_0(X2,X0,X3,sk0_1,sk0_0)|~spl0_18)),
% 0.20/0.36 inference(resolution,[status(thm)],[f271,f165])).
% 0.20/0.36 fof(f318,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~in(X0,powerset(the_carrier(sk0_0)))|~X0=X1|~pd0_0(X1,X2,X3,sk0_1,sk0_0)|sk0_11(X1,sk0_1,sk0_0)=X1|~spl0_18|~spl0_12)),
% 0.20/0.36 inference(resolution,[status(thm)],[f314,f239])).
% 0.20/0.36 fof(f320,plain,(
% 0.20/0.36 spl0_19 <=> ~sk0_11(X0,X1,sk0_0)=X2|~pd0_0(X2,X3,X4,sk0_1,sk0_0)|sk0_11(X2,sk0_1,sk0_0)=X2|~element(X1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X1,sk0_0),sk0_8(X1,sk0_0),sk0_7(X1,sk0_0),X1,sk0_0)|~in(X0,sk0_10(X1,sk0_0))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f323,plain,(
% 0.20/0.36 spl0_20 <=> top_str(sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f325,plain,(
% 0.20/0.36 ~top_str(sk0_0)|spl0_20),
% 0.20/0.36 inference(component_clause,[status(thm)],[f323])).
% 0.20/0.36 fof(f326,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4]: (~sk0_11(X0,X1,sk0_0)=X2|~pd0_0(X2,X3,X4,sk0_1,sk0_0)|sk0_11(X2,sk0_1,sk0_0)=X2|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X1,sk0_0),sk0_8(X1,sk0_0),sk0_7(X1,sk0_0),X1,sk0_0)|~in(X0,sk0_10(X1,sk0_0))|~spl0_18|~spl0_12)),
% 0.20/0.36 inference(resolution,[status(thm)],[f318,f159])).
% 0.20/0.36 fof(f327,plain,(
% 0.20/0.36 spl0_19|~spl0_0|~spl0_20|~spl0_18|~spl0_12),
% 0.20/0.36 inference(split_clause,[status(thm)],[f326,f320,f185,f323,f270,f238])).
% 0.20/0.36 fof(f330,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~sk0_2(X0)=X1|~pd0_0(X1,X2,X3,sk0_1,sk0_0)|sk0_11(X1,sk0_1,sk0_0)=X1|in(sk0_2(X0),X0)|~spl0_18|~spl0_12)),
% 0.20/0.36 inference(resolution,[status(thm)],[f318,f44])).
% 0.20/0.36 fof(f331,plain,(
% 0.20/0.36 $false|spl0_20),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f325,f42])).
% 0.20/0.36 fof(f332,plain,(
% 0.20/0.36 spl0_20),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f331])).
% 0.20/0.36 fof(f336,plain,(
% 0.20/0.36 spl0_22 <=> in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f337,plain,(
% 0.20/0.36 in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))|~spl0_22),
% 0.20/0.36 inference(component_clause,[status(thm)],[f336])).
% 0.20/0.36 fof(f338,plain,(
% 0.20/0.36 ~in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))|spl0_22),
% 0.20/0.36 inference(component_clause,[status(thm)],[f336])).
% 0.20/0.36 fof(f339,plain,(
% 0.20/0.36 spl0_23 <=> in(sk0_2(sk0_10(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f341,plain,(
% 0.20/0.36 ~in(sk0_2(sk0_10(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|spl0_23),
% 0.20/0.36 inference(component_clause,[status(thm)],[f339])).
% 0.20/0.36 fof(f344,plain,(
% 0.20/0.36 spl0_24 <=> ~sk0_2(powerset(the_carrier(sk0_0)))=X0|~pd0_0(X0,X1,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f347,plain,(
% 0.20/0.36 spl0_25 <=> ~pd0_0(sk0_2(powerset(the_carrier(sk0_0))),X3,X4,sk0_1,sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f350,plain,(
% 0.20/0.36 spl0_26 <=> in(sk0_2(powerset(the_carrier(sk0_0))),powerset(the_carrier(sk0_0)))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f351,plain,(
% 0.20/0.36 in(sk0_2(powerset(the_carrier(sk0_0))),powerset(the_carrier(sk0_0)))|~spl0_26),
% 0.20/0.36 inference(component_clause,[status(thm)],[f350])).
% 0.20/0.36 fof(f352,plain,(
% 0.20/0.36 ~in(sk0_2(powerset(the_carrier(sk0_0))),powerset(the_carrier(sk0_0)))|spl0_26),
% 0.20/0.36 inference(component_clause,[status(thm)],[f350])).
% 0.20/0.36 fof(f355,plain,(
% 0.20/0.36 spl0_27 <=> ~pd0_0(X3,sk0_2(powerset(the_carrier(sk0_0))),X4,sk0_1,sk0_0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f360,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4,X5]: (~sk0_2(powerset(the_carrier(sk0_0)))=X0|~pd0_0(X0,X1,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0|~sk0_2(powerset(the_carrier(sk0_0)))=X3|~pd0_0(X3,X4,X5,sk0_1,sk0_0)|sk0_11(X3,sk0_1,sk0_0)=X3|~spl0_18|~spl0_12)),
% 0.20/0.36 inference(resolution,[status(thm)],[f330,f318])).
% 0.20/0.36 fof(f361,plain,(
% 0.20/0.36 spl0_24|~spl0_18|~spl0_12),
% 0.20/0.36 inference(split_clause,[status(thm)],[f360,f344,f270,f238])).
% 0.20/0.36 fof(f362,plain,(
% 0.20/0.36 spl0_28 <=> ~sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))=X0|~pd0_0(X0,X1,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f365,plain,(
% 0.20/0.36 spl0_29 <=> sk0_11(sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0)),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)=sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f368,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))=X0|~pd0_0(X0,X1,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0|sk0_11(sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0)),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)=sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|~spl0_18|~spl0_12|~spl0_7)),
% 0.20/0.36 inference(resolution,[status(thm)],[f330,f220])).
% 0.20/0.36 fof(f369,plain,(
% 0.20/0.36 spl0_28|spl0_29|~spl0_18|~spl0_12|~spl0_7),
% 0.20/0.36 inference(split_clause,[status(thm)],[f368,f362,f365,f270,f238,f219])).
% 0.20/0.36 fof(f370,plain,(
% 0.20/0.36 spl0_30 <=> ~sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))=X0|~pd0_0(X0,X1,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f373,plain,(
% 0.20/0.36 spl0_31 <=> sk0_11(sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0)),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)=sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f376,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))=X0|~pd0_0(X0,X1,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0|sk0_11(sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0)),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)=sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|~spl0_18|~spl0_12|~spl0_10)),
% 0.20/0.36 inference(resolution,[status(thm)],[f330,f231])).
% 0.20/0.36 fof(f377,plain,(
% 0.20/0.36 spl0_30|spl0_31|~spl0_18|~spl0_12|~spl0_10),
% 0.20/0.36 inference(split_clause,[status(thm)],[f376,f370,f373,f270,f238,f230])).
% 0.20/0.36 fof(f378,plain,(
% 0.20/0.36 spl0_32 <=> sk0_11(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_1,sk0_0)=sk0_2(sk0_10(sk0_1,sk0_0))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f379,plain,(
% 0.20/0.36 sk0_11(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_1,sk0_0)=sk0_2(sk0_10(sk0_1,sk0_0))|~spl0_32),
% 0.20/0.36 inference(component_clause,[status(thm)],[f378])).
% 0.20/0.36 fof(f396,plain,(
% 0.20/0.36 in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))|spl0_23),
% 0.20/0.36 inference(resolution,[status(thm)],[f341,f44])).
% 0.20/0.36 fof(f402,plain,(
% 0.20/0.36 spl0_35 <=> element(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f404,plain,(
% 0.20/0.36 ~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|spl0_35),
% 0.20/0.36 inference(component_clause,[status(thm)],[f402])).
% 0.20/0.36 fof(f405,plain,(
% 0.20/0.36 spl0_36 <=> in(powerset(the_carrier(sk0_0)),sk0_2(sk0_10(sk0_1,sk0_0)))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f408,plain,(
% 0.20/0.36 ~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))|~in(powerset(the_carrier(sk0_0)),sk0_2(sk0_10(sk0_1,sk0_0)))|~spl0_32),
% 0.20/0.36 inference(paramodulation,[status(thm)],[f379,f210])).
% 0.20/0.36 fof(f409,plain,(
% 0.20/0.36 ~spl0_0|~spl0_20|~spl0_35|spl0_11|~spl0_22|~spl0_36|~spl0_32),
% 0.20/0.36 inference(split_clause,[status(thm)],[f408,f185,f323,f402,f235,f336,f405,f378])).
% 0.20/0.36 fof(f410,plain,(
% 0.20/0.36 ~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(sk0_1,sk0_0),sk0_8(sk0_1,sk0_0),sk0_7(sk0_1,sk0_0),sk0_1,sk0_0)|~in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))|in(sk0_2(sk0_10(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_32),
% 0.20/0.36 inference(paramodulation,[status(thm)],[f379,f159])).
% 0.20/0.36 fof(f411,plain,(
% 0.20/0.36 ~spl0_0|~spl0_20|~spl0_35|spl0_11|~spl0_22|spl0_23|~spl0_32),
% 0.20/0.36 inference(split_clause,[status(thm)],[f410,f185,f323,f402,f235,f336,f339,f378])).
% 0.20/0.36 fof(f412,plain,(
% 0.20/0.36 $false|spl0_35),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f404,f43])).
% 0.20/0.36 fof(f413,plain,(
% 0.20/0.36 spl0_35),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f412])).
% 0.20/0.36 fof(f414,plain,(
% 0.20/0.36 in(sk0_2(powerset(the_carrier(sk0_0))),powerset(the_carrier(sk0_0)))|spl0_26),
% 0.20/0.36 inference(resolution,[status(thm)],[f352,f44])).
% 0.20/0.36 fof(f415,plain,(
% 0.20/0.36 $false|spl0_26),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f414,f352])).
% 0.20/0.36 fof(f416,plain,(
% 0.20/0.36 spl0_26),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f415])).
% 0.20/0.36 fof(f417,plain,(
% 0.20/0.36 spl0_37 <=> ~in(X0,powerset(the_carrier(sk0_0)))|~X0=sk0_2(sk0_10(sk0_1,sk0_0))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f418,plain,(
% 0.20/0.36 ![X0]: (~in(X0,powerset(the_carrier(sk0_0)))|~X0=sk0_2(sk0_10(sk0_1,sk0_0))|~spl0_37)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f417])).
% 0.20/0.36 fof(f422,plain,(
% 0.20/0.36 ![X0,X1]: (~pd0_0(sk0_2(powerset(the_carrier(sk0_0))),X0,X1,sk0_1,sk0_0)|~in(sk0_2(powerset(the_carrier(sk0_0))),powerset(the_carrier(sk0_0)))|~spl0_26)),
% 0.20/0.36 inference(resolution,[status(thm)],[f351,f173])).
% 0.20/0.36 fof(f423,plain,(
% 0.20/0.36 spl0_25|~spl0_26),
% 0.20/0.36 inference(split_clause,[status(thm)],[f422,f347,f350])).
% 0.20/0.36 fof(f424,plain,(
% 0.20/0.36 ![X0,X1]: (~pd0_0(X0,sk0_2(powerset(the_carrier(sk0_0))),X1,sk0_1,sk0_0)|~in(sk0_2(powerset(the_carrier(sk0_0))),powerset(the_carrier(sk0_0)))|~spl0_26)),
% 0.20/0.36 inference(resolution,[status(thm)],[f351,f171])).
% 0.20/0.36 fof(f425,plain,(
% 0.20/0.36 spl0_27|~spl0_26),
% 0.20/0.36 inference(split_clause,[status(thm)],[f424,f355,f350])).
% 0.20/0.36 fof(f438,plain,(
% 0.20/0.36 ![X0]: (~sk0_2(X0)=sk0_2(sk0_10(sk0_1,sk0_0))|in(sk0_2(X0),X0)|~spl0_37)),
% 0.20/0.36 inference(resolution,[status(thm)],[f418,f44])).
% 0.20/0.36 fof(f480,plain,(
% 0.20/0.36 spl0_46 <=> sk0_2(powerset(the_carrier(sk0_0)))=sk0_2(powerset(the_carrier(sk0_0)))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f482,plain,(
% 0.20/0.36 ~sk0_2(powerset(the_carrier(sk0_0)))=sk0_2(powerset(the_carrier(sk0_0)))|spl0_46),
% 0.20/0.36 inference(component_clause,[status(thm)],[f480])).
% 0.20/0.36 fof(f485,plain,(
% 0.20/0.36 $false|spl0_46),
% 0.20/0.36 inference(equality_resolution,[status(esa)],[f482])).
% 0.20/0.36 fof(f486,plain,(
% 0.20/0.36 spl0_46),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f485])).
% 0.20/0.36 fof(f499,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~in(X0,powerset(the_carrier(sk0_0)))|~X0=X1|~pd0_0(X2,X1,X3,sk0_1,sk0_0)|sk0_11(X1,sk0_1,sk0_0)=X1|~spl0_18|~spl0_12)),
% 0.20/0.36 inference(resolution,[status(thm)],[f315,f239])).
% 0.20/0.36 fof(f501,plain,(
% 0.20/0.36 spl0_48 <=> ~sk0_11(X0,X1,sk0_0)=X2|~pd0_0(X3,X2,X4,sk0_1,sk0_0)|sk0_11(X2,sk0_1,sk0_0)=X2|~element(X1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X1,sk0_0),sk0_8(X1,sk0_0),sk0_7(X1,sk0_0),X1,sk0_0)|~in(X0,sk0_10(X1,sk0_0))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f504,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4]: (~sk0_11(X0,X1,sk0_0)=X2|~pd0_0(X3,X2,X4,sk0_1,sk0_0)|sk0_11(X2,sk0_1,sk0_0)=X2|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X1,powerset(powerset(the_carrier(sk0_0))))|pd0_0(sk0_9(X1,sk0_0),sk0_8(X1,sk0_0),sk0_7(X1,sk0_0),X1,sk0_0)|~in(X0,sk0_10(X1,sk0_0))|~spl0_18|~spl0_12)),
% 0.20/0.36 inference(resolution,[status(thm)],[f499,f159])).
% 0.20/0.36 fof(f505,plain,(
% 0.20/0.36 spl0_48|~spl0_0|~spl0_20|~spl0_18|~spl0_12),
% 0.20/0.36 inference(split_clause,[status(thm)],[f504,f501,f185,f323,f270,f238])).
% 0.20/0.36 fof(f509,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~sk0_2(X0)=X1|~pd0_0(X2,X1,X3,sk0_1,sk0_0)|sk0_11(X1,sk0_1,sk0_0)=X1|in(sk0_2(X0),X0)|~spl0_18|~spl0_12)),
% 0.20/0.36 inference(resolution,[status(thm)],[f499,f44])).
% 0.20/0.36 fof(f510,plain,(
% 0.20/0.36 spl0_49 <=> ~sk0_2(powerset(the_carrier(sk0_0)))=X0|~pd0_0(X1,X0,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f527,plain,(
% 0.20/0.36 ![X0,X1,X2,X3,X4,X5]: (~sk0_2(powerset(the_carrier(sk0_0)))=X0|~pd0_0(X1,X0,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0|~sk0_2(powerset(the_carrier(sk0_0)))=X3|~pd0_0(X4,X3,X5,sk0_1,sk0_0)|sk0_11(X3,sk0_1,sk0_0)=X3|~spl0_18|~spl0_12)),
% 0.20/0.36 inference(resolution,[status(thm)],[f509,f499])).
% 0.20/0.36 fof(f528,plain,(
% 0.20/0.36 spl0_49|~spl0_18|~spl0_12),
% 0.20/0.36 inference(split_clause,[status(thm)],[f527,f510,f270,f238])).
% 0.20/0.36 fof(f531,plain,(
% 0.20/0.36 spl0_51 <=> ~sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))=X0|~pd0_0(X1,X0,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f534,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))=X0|~pd0_0(X1,X0,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0|sk0_11(sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0)),sk0_5(powerset(the_carrier(sk0_0))),sk0_0)=sk0_2(sk0_10(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|~spl0_18|~spl0_12|~spl0_7)),
% 0.20/0.36 inference(resolution,[status(thm)],[f509,f220])).
% 0.20/0.36 fof(f535,plain,(
% 0.20/0.36 spl0_51|spl0_29|~spl0_18|~spl0_12|~spl0_7),
% 0.20/0.36 inference(split_clause,[status(thm)],[f534,f531,f365,f270,f238,f219])).
% 0.20/0.36 fof(f536,plain,(
% 0.20/0.36 spl0_52 <=> ~sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))=X0|~pd0_0(X1,X0,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f539,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))=X0|~pd0_0(X1,X0,X2,sk0_1,sk0_0)|sk0_11(X0,sk0_1,sk0_0)=X0|sk0_11(sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0)),sk0_6(powerset(the_carrier(sk0_0))),sk0_0)=sk0_2(sk0_10(sk0_6(powerset(the_carrier(sk0_0))),sk0_0))|~spl0_18|~spl0_12|~spl0_10)),
% 0.20/0.36 inference(resolution,[status(thm)],[f509,f231])).
% 0.20/0.36 fof(f540,plain,(
% 0.20/0.36 spl0_52|spl0_31|~spl0_18|~spl0_12|~spl0_10),
% 0.20/0.36 inference(split_clause,[status(thm)],[f539,f536,f373,f270,f238,f230])).
% 0.20/0.36 fof(f546,plain,(
% 0.20/0.36 $false|spl0_22|spl0_23),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f396,f338])).
% 0.20/0.36 fof(f547,plain,(
% 0.20/0.36 spl0_22|spl0_23),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f546])).
% 0.20/0.36 fof(f548,plain,(
% 0.20/0.36 ~in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))|~in(sk0_2(sk0_10(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_22|~spl0_15),
% 0.20/0.36 inference(resolution,[status(thm)],[f337,f289])).
% 0.20/0.36 fof(f549,plain,(
% 0.20/0.36 ~spl0_22|~spl0_23|~spl0_15),
% 0.20/0.36 inference(split_clause,[status(thm)],[f548,f336,f339,f255])).
% 0.20/0.36 fof(f550,plain,(
% 0.20/0.36 sk0_11(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_1,sk0_0)=sk0_2(sk0_10(sk0_1,sk0_0))|~spl0_22|~spl0_12),
% 0.20/0.36 inference(resolution,[status(thm)],[f337,f239])).
% 0.20/0.36 fof(f551,plain,(
% 0.20/0.36 spl0_32|~spl0_22|~spl0_12),
% 0.20/0.36 inference(split_clause,[status(thm)],[f550,f378,f336,f238])).
% 0.20/0.36 fof(f629,plain,(
% 0.20/0.36 ![X0]: (~in(X0,powerset(the_carrier(sk0_0)))|~X0=sk0_2(sk0_10(sk0_1,sk0_0))|in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))|~spl0_18|spl0_22)),
% 0.20/0.36 inference(resolution,[status(thm)],[f313,f338])).
% 0.20/0.36 fof(f630,plain,(
% 0.20/0.36 spl0_37|spl0_22|~spl0_18),
% 0.20/0.36 inference(split_clause,[status(thm)],[f629,f417,f336,f270])).
% 0.20/0.36 fof(f633,plain,(
% 0.20/0.36 in(sk0_2(sk0_10(sk0_1,sk0_0)),sk0_10(sk0_1,sk0_0))|~spl0_37),
% 0.20/0.36 inference(equality_resolution,[status(esa)],[f438])).
% 0.20/0.36 fof(f634,plain,(
% 0.20/0.36 spl0_22|~spl0_37),
% 0.20/0.36 inference(split_clause,[status(thm)],[f633,f336,f417])).
% 0.20/0.36 fof(f635,plain,(
% 0.20/0.36 $false),
% 0.20/0.36 inference(sat_refutation,[status(thm)],[f192,f194,f199,f204,f209,f215,f226,f234,f242,f244,f249,f254,f259,f264,f269,f274,f286,f300,f308,f327,f332,f361,f369,f377,f409,f411,f413,f416,f423,f425,f486,f505,f528,f535,f540,f547,f549,f551,f630,f634])).
% 0.20/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.37 % Elapsed time: 0.034412 seconds
% 0.20/0.37 % CPU time: 0.109288 seconds
% 0.20/0.37 % Memory used: 18.794 MB
%------------------------------------------------------------------------------