TSTP Solution File: SEU311+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 : Tue Apr 30 20:41:54 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.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 : Mon Apr 29 20:12:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,conjecture,(
% 0.13/0.40 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (? [C] :( element(C,powerset(powerset(the_carrier(A))))& (! [D] :( element(D,powerset(the_carrier(A)))=> ( in(D,C)<=> in(set_difference(cast_as_carrier_subset(A),D),B) ) ) )) )) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,negated_conjecture,(
% 0.13/0.40 ~((! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(powerset(the_carrier(A)))) )=> (? [C] :( element(C,powerset(powerset(the_carrier(A))))& (! [D] :( element(D,powerset(the_carrier(A)))=> ( in(D,C)<=> in(set_difference(cast_as_carrier_subset(A),D),B) ) ) )) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.40 fof(f7,axiom,(
% 0.13/0.40 (? [A] :( ~ empty(A)& v1_membered(A)& v2_membered(A)& v3_membered(A)& v4_membered(A)& v5_membered(A) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,axiom,(
% 0.13/0.40 (! [A] :( ( topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& closed_subset(B,A) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f25,axiom,(
% 0.13/0.40 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f26,axiom,(
% 0.13/0.40 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f28,axiom,(
% 0.13/0.40 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f30,axiom,(
% 0.13/0.40 (! [A] :( one_sorted_str(A)=> element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,axiom,(
% 0.13/0.40 (! [A] :( top_str(A)=> one_sorted_str(A) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f36,axiom,(
% 0.13/0.40 (! [A] : ~ empty(powerset(A)) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f37,axiom,(
% 0.13/0.40 (! [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) ) ) ))) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f38,axiom,(
% 0.13/0.40 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f40,axiom,(
% 0.13/0.40 (! [A] :(? [B] : element(B,A) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f41,axiom,(
% 0.13/0.40 empty(empty_set) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f42,axiom,(
% 0.13/0.40 (! [A,B] :( (! [C] :( in(C,A)=> in(C,B) ))=> element(A,powerset(B)) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f44,axiom,(
% 0.13/0.40 (? [A] : ~ empty(A) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f45,axiom,(
% 0.13/0.40 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f46,axiom,(
% 0.13/0.40 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f47,axiom,(
% 0.13/0.40 (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 (?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(powerset(the_carrier(A)))))&(![C]: (~element(C,powerset(powerset(the_carrier(A))))|(?[D]: (element(D,powerset(the_carrier(A)))&(in(D,C)<~>in(set_difference(cast_as_carrier_subset(A),D),B))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 ?[A,B]: (((topological_space(A)&top_str(A))&element(B,powerset(powerset(the_carrier(A)))))&(![C]: (~element(C,powerset(powerset(the_carrier(A))))|(?[D]: (element(D,powerset(the_carrier(A)))&((in(D,C)|in(set_difference(cast_as_carrier_subset(A),D),B))&(~in(D,C)|~in(set_difference(cast_as_carrier_subset(A),D),B))))))))),
% 0.13/0.40 inference(NNF_transformation,[status(esa)],[f48])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 (((topological_space(sk0_0)&top_str(sk0_0))&element(sk0_1,powerset(powerset(the_carrier(sk0_0)))))&(![C]: (~element(C,powerset(powerset(the_carrier(sk0_0))))|(element(sk0_2(C),powerset(the_carrier(sk0_0)))&((in(sk0_2(C),C)|in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(C)),sk0_1))&(~in(sk0_2(C),C)|~in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(C)),sk0_1)))))))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f49])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 topological_space(sk0_0)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 top_str(sk0_0)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 element(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|element(sk0_2(X0),powerset(the_carrier(sk0_0))))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|in(sk0_2(X0),X0)|in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(X0)),sk0_1))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(sk0_2(X0),X0)|~in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(X0)),sk0_1))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 (((((~empty(sk0_3)&v1_membered(sk0_3))&v2_membered(sk0_3))&v3_membered(sk0_3))&v4_membered(sk0_3))&v5_membered(sk0_3))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f7])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 ~empty(sk0_3)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f65])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ![A]: ((~topological_space(A)|~top_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&closed_subset(B,A))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 ![A]: ((~topological_space(A)|~top_str(A))|(element(sk0_4(A),powerset(the_carrier(A)))&closed_subset(sk0_4(A),A)))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f137])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 ![X0]: (~topological_space(X0)|~top_str(X0)|element(sk0_4(X0),powerset(the_carrier(X0))))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f138])).
% 0.13/0.40 fof(f141,plain,(
% 0.13/0.40 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 ![A]: (empty(A)|(element(sk0_5(A),powerset(A))&~empty(sk0_5(A))))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f141])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 ![X0]: (empty(X0)|element(sk0_5(X0),powerset(X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f142])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 ![A]: (element(sk0_6(A),powerset(A))&empty(sk0_6(A)))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f26])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 ![X0]: (element(sk0_6(X0),powerset(X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f145])).
% 0.13/0.40 fof(f147,plain,(
% 0.13/0.40 ![X0]: (empty(sk0_6(X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f145])).
% 0.13/0.40 fof(f154,plain,(
% 0.13/0.40 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f154])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 ![A]: (~one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 ![X0]: (~one_sorted_str(X0)|element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f156])).
% 0.13/0.40 fof(f158,plain,(
% 0.13/0.40 ![A]: (~top_str(A)|one_sorted_str(A))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.13/0.40 fof(f159,plain,(
% 0.13/0.40 ![X0]: (~top_str(X0)|one_sorted_str(X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f158])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 ![X0]: (~empty(powerset(X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.40 fof(f163,plain,(
% 0.13/0.40 ![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)))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 ![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))))))),
% 0.13/0.40 inference(NNF_transformation,[status(esa)],[f163])).
% 0.13/0.40 fof(f165,plain,(
% 0.13/0.40 ![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))))&(![D]: (in(D,C)|(~in(D,powerset(the_carrier(A)))|~in(set_difference(cast_as_carrier_subset(A),D),B)))))))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f164])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(powerset(the_carrier(A)))))|((![D]: (~in(D,sk0_7(B,A))|(in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B))))&(![D]: (in(D,sk0_7(B,A))|(~in(D,powerset(the_carrier(A)))|~in(set_difference(cast_as_carrier_subset(A),D),B))))))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f165])).
% 0.13/0.40 fof(f167,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|~in(X2,sk0_7(X1,X0))|in(X2,powerset(the_carrier(X0))))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f166])).
% 0.13/0.40 fof(f168,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|~in(X2,sk0_7(X1,X0))|in(set_difference(cast_as_carrier_subset(X0),X2),X1))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f166])).
% 0.13/0.40 fof(f169,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(powerset(the_carrier(X0))))|in(X2,sk0_7(X1,X0))|~in(X2,powerset(the_carrier(X0)))|~in(set_difference(cast_as_carrier_subset(X0),X2),X1))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f166])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.13/0.40 fof(f171,plain,(
% 0.13/0.40 ![A,B]: ((empty(A)|((~element(B,A)|in(B,A))&(element(B,A)|~in(B,A))))&(~empty(A)|((~element(B,A)|empty(B))&(element(B,A)|~empty(B)))))),
% 0.13/0.40 inference(NNF_transformation,[status(esa)],[f170])).
% 0.13/0.40 fof(f172,plain,(
% 0.13/0.40 (![A]: (empty(A)|((![B]: (~element(B,A)|in(B,A)))&(![B]: (element(B,A)|~in(B,A))))))&(![A]: (~empty(A)|((![B]: (~element(B,A)|empty(B)))&(![B]: (element(B,A)|~empty(B))))))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f171])).
% 0.13/0.40 fof(f173,plain,(
% 0.13/0.40 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f172])).
% 0.13/0.40 fof(f174,plain,(
% 0.13/0.40 ![X0,X1]: (empty(X0)|element(X1,X0)|~in(X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f172])).
% 0.13/0.40 fof(f175,plain,(
% 0.13/0.40 ![X0,X1]: (~empty(X0)|~element(X1,X0)|empty(X1))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f172])).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 ![X0,X1]: (~empty(X0)|element(X1,X0)|~empty(X1))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f172])).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 ![A]: element(sk0_8(A),A)),
% 0.13/0.40 inference(skolemization,[status(esa)],[f40])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 ![X0]: (element(sk0_8(X0),X0))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f177])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 empty(empty_set)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 ![A,B]: ((?[C]: (in(C,A)&~in(C,B)))|element(A,powerset(B)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 ![A,B]: ((in(sk0_9(B,A),A)&~in(sk0_9(B,A),B))|element(A,powerset(B)))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f180])).
% 0.13/0.40 fof(f182,plain,(
% 0.13/0.40 ![X0,X1]: (in(sk0_9(X0,X1),X1)|element(X1,powerset(X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f181])).
% 0.13/0.40 fof(f183,plain,(
% 0.13/0.40 ![X0,X1]: (~in(sk0_9(X0,X1),X0)|element(X1,powerset(X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f181])).
% 0.13/0.40 fof(f186,plain,(
% 0.13/0.40 ~empty(sk0_11)),
% 0.13/0.40 inference(skolemization,[status(esa)],[f44])).
% 0.13/0.40 fof(f187,plain,(
% 0.13/0.40 ~empty(sk0_11)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f186])).
% 0.13/0.40 fof(f188,plain,(
% 0.13/0.40 ![A]: (~empty(A)|A=empty_set)),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.13/0.40 fof(f189,plain,(
% 0.13/0.40 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f188])).
% 0.13/0.40 fof(f190,plain,(
% 0.13/0.40 ![A,B]: (~in(A,B)|~empty(B))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.13/0.40 fof(f191,plain,(
% 0.13/0.40 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f190])).
% 0.13/0.40 fof(f192,plain,(
% 0.13/0.40 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.40 fof(f193,plain,(
% 0.13/0.40 ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.13/0.40 fof(f194,plain,(
% 0.13/0.40 ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f193])).
% 0.13/0.40 fof(f195,plain,(
% 0.13/0.40 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f194])).
% 0.13/0.40 fof(f197,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~element(X0,X1)|in(X0,X1)|~in(X2,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f173,f192])).
% 0.13/0.40 fof(f198,plain,(
% 0.13/0.40 ![X0,X1]: (element(X0,X1)|~in(X0,X1))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f174,f192])).
% 0.13/0.40 fof(f207,plain,(
% 0.13/0.40 ![X0]: (~element(X0,sk0_3)|in(X0,sk0_3))),
% 0.13/0.40 inference(resolution,[status(thm)],[f66,f173])).
% 0.13/0.40 fof(f208,plain,(
% 0.13/0.40 ![X0]: (~in(X0,empty_set))),
% 0.13/0.40 inference(resolution,[status(thm)],[f179,f192])).
% 0.13/0.40 fof(f210,plain,(
% 0.13/0.40 ![X0]: (~element(X0,sk0_11)|in(X0,sk0_11))),
% 0.13/0.40 inference(resolution,[status(thm)],[f187,f173])).
% 0.13/0.40 fof(f211,plain,(
% 0.13/0.40 ![X0,X1]: (~in(X0,sk0_6(X1)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f147,f192])).
% 0.13/0.40 fof(f231,plain,(
% 0.13/0.40 ![X0,X1]: (X0=empty_set|~element(X1,X0)|in(X1,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f189,f173])).
% 0.13/0.40 fof(f232,plain,(
% 0.13/0.40 ![X0]: (X0=empty_set|in(sk0_8(X0),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f231,f178])).
% 0.13/0.40 fof(f233,plain,(
% 0.13/0.40 spl0_2 <=> powerset(the_carrier(sk0_0))=empty_set),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f234,plain,(
% 0.13/0.40 powerset(the_carrier(sk0_0))=empty_set|~spl0_2),
% 0.13/0.40 inference(component_clause,[status(thm)],[f233])).
% 0.13/0.40 fof(f236,plain,(
% 0.13/0.40 spl0_3 <=> in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~element(X0,powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f237,plain,(
% 0.13/0.40 ![X0]: (in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~element(X0,powerset(powerset(the_carrier(sk0_0))))|~spl0_3)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f236])).
% 0.13/0.40 fof(f239,plain,(
% 0.13/0.40 ![X0]: (powerset(the_carrier(sk0_0))=empty_set|in(sk0_2(X0),powerset(the_carrier(sk0_0)))|~element(X0,powerset(powerset(the_carrier(sk0_0)))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f231,f54])).
% 0.13/0.40 fof(f240,plain,(
% 0.13/0.40 spl0_2|spl0_3),
% 0.13/0.40 inference(split_clause,[status(thm)],[f239,f233,f236])).
% 0.13/0.40 fof(f241,plain,(
% 0.13/0.40 spl0_4 <=> powerset(powerset(the_carrier(sk0_0)))=empty_set),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f242,plain,(
% 0.13/0.40 powerset(powerset(the_carrier(sk0_0)))=empty_set|~spl0_4),
% 0.13/0.40 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.40 fof(f244,plain,(
% 0.13/0.40 spl0_5 <=> in(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f247,plain,(
% 0.13/0.40 powerset(powerset(the_carrier(sk0_0)))=empty_set|in(sk0_1,powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f231,f53])).
% 0.13/0.40 fof(f248,plain,(
% 0.13/0.40 spl0_4|spl0_5),
% 0.13/0.40 inference(split_clause,[status(thm)],[f247,f241,f244])).
% 0.13/0.40 fof(f265,plain,(
% 0.13/0.40 ~empty(empty_set)|~spl0_2),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f234,f162])).
% 0.13/0.40 fof(f266,plain,(
% 0.13/0.40 $false|~spl0_2),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f265,f179])).
% 0.13/0.40 fof(f267,plain,(
% 0.13/0.40 ~spl0_2),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f266])).
% 0.13/0.40 fof(f277,plain,(
% 0.13/0.40 ~empty(empty_set)|~spl0_4),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f242,f162])).
% 0.13/0.40 fof(f278,plain,(
% 0.13/0.40 $false|~spl0_4),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f277,f179])).
% 0.13/0.40 fof(f279,plain,(
% 0.13/0.40 ~spl0_4),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f278])).
% 0.13/0.40 fof(f282,plain,(
% 0.13/0.40 spl0_6 <=> ~element(X0,powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f283,plain,(
% 0.13/0.40 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~spl0_6)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f282])).
% 0.13/0.40 fof(f285,plain,(
% 0.13/0.40 spl0_7 <=> ~element(X1,powerset(the_carrier(sk0_0)))|in(X1,powerset(the_carrier(sk0_0)))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f288,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~element(X1,powerset(the_carrier(sk0_0)))|in(X1,powerset(the_carrier(sk0_0)))|~spl0_3)),
% 0.13/0.40 inference(resolution,[status(thm)],[f237,f197])).
% 0.13/0.40 fof(f289,plain,(
% 0.13/0.40 spl0_6|spl0_7|~spl0_3),
% 0.13/0.40 inference(split_clause,[status(thm)],[f288,f282,f285,f236])).
% 0.13/0.40 fof(f291,plain,(
% 0.13/0.40 $false|~spl0_6),
% 0.13/0.40 inference(resolution,[status(thm)],[f283,f178])).
% 0.13/0.40 fof(f292,plain,(
% 0.13/0.40 ~spl0_6),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f291])).
% 0.13/0.40 fof(f304,plain,(
% 0.13/0.40 ![X0]: (in(sk0_2(X0),X0)|in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(X0)),sk0_1)|~in(X0,powerset(powerset(the_carrier(sk0_0)))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f55,f198])).
% 0.13/0.40 fof(f324,plain,(
% 0.13/0.40 ![X0]: (sk0_6(X0)=empty_set)),
% 0.13/0.40 inference(resolution,[status(thm)],[f232,f211])).
% 0.13/0.40 fof(f336,plain,(
% 0.13/0.40 ![X0]: (element(empty_set,powerset(X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f324,f146])).
% 0.13/0.40 fof(f337,plain,(
% 0.13/0.40 spl0_12 <=> in(sk0_2(empty_set),empty_set)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f338,plain,(
% 0.13/0.40 in(sk0_2(empty_set),empty_set)|~spl0_12),
% 0.13/0.40 inference(component_clause,[status(thm)],[f337])).
% 0.13/0.40 fof(f340,plain,(
% 0.13/0.40 spl0_13 <=> in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(empty_set)),sk0_1)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f341,plain,(
% 0.13/0.40 in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(empty_set)),sk0_1)|~spl0_13),
% 0.13/0.40 inference(component_clause,[status(thm)],[f340])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 ![X0]: (powerset(X0)=empty_set|in(empty_set,powerset(X0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f336,f231])).
% 0.13/0.40 fof(f346,plain,(
% 0.13/0.40 $false|~spl0_12),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f338,f208])).
% 0.13/0.40 fof(f347,plain,(
% 0.13/0.40 ~spl0_12),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f346])).
% 0.13/0.40 fof(f348,plain,(
% 0.13/0.40 powerset(powerset(the_carrier(sk0_0)))=empty_set|in(sk0_2(empty_set),empty_set)|in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(empty_set)),sk0_1)),
% 0.13/0.40 inference(resolution,[status(thm)],[f345,f304])).
% 0.13/0.40 fof(f349,plain,(
% 0.13/0.40 spl0_4|spl0_12|spl0_13),
% 0.13/0.40 inference(split_clause,[status(thm)],[f348,f241,f337,f340])).
% 0.13/0.40 fof(f353,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~empty(X0)|X0=X1|~element(X2,X1)|in(X2,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f195,f173])).
% 0.13/0.40 fof(f355,plain,(
% 0.13/0.40 spl0_14 <=> element(empty_set,powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f357,plain,(
% 0.13/0.40 ~element(empty_set,powerset(powerset(the_carrier(sk0_0))))|spl0_14),
% 0.13/0.40 inference(component_clause,[status(thm)],[f355])).
% 0.13/0.40 fof(f365,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (X0=X1|~element(X2,X1)|in(X2,X1)|~element(X3,X0)|in(X3,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f353,f173])).
% 0.13/0.40 fof(f388,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~element(X0,X1)|empty(X0)|~element(X2,X1)|in(X2,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f175,f173])).
% 0.13/0.40 fof(f400,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,X1)|empty(X0)|in(sk0_8(X1),X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f388,f178])).
% 0.13/0.40 fof(f403,plain,(
% 0.13/0.40 ![X0]: (~element(X0,empty_set)|empty(X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f400,f208])).
% 0.13/0.40 fof(f406,plain,(
% 0.13/0.40 empty(sk0_8(empty_set))),
% 0.13/0.40 inference(resolution,[status(thm)],[f403,f178])).
% 0.13/0.40 fof(f411,plain,(
% 0.13/0.40 sk0_8(empty_set)=empty_set),
% 0.13/0.40 inference(resolution,[status(thm)],[f406,f189])).
% 0.13/0.40 fof(f414,plain,(
% 0.13/0.40 spl0_19 <=> ~element(X0,empty_set)|empty(X0)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f417,plain,(
% 0.13/0.40 spl0_20 <=> in(empty_set,empty_set)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f418,plain,(
% 0.13/0.40 in(empty_set,empty_set)|~spl0_20),
% 0.13/0.40 inference(component_clause,[status(thm)],[f417])).
% 0.13/0.40 fof(f422,plain,(
% 0.13/0.40 spl0_21 <=> empty_set=X0|~element(X1,X0)|in(X1,X0)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f429,plain,(
% 0.13/0.40 spl0_22 <=> empty_set=empty_set),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f436,plain,(
% 0.13/0.40 element(empty_set,empty_set)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f411,f178])).
% 0.13/0.40 fof(f455,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~empty(X0)|element(X1,X0)|~element(X2,X1)|in(X2,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f176,f173])).
% 0.13/0.40 fof(f456,plain,(
% 0.13/0.40 ![X0,X1]: (element(X0,empty_set)|~element(X1,X0)|in(X1,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f455,f179])).
% 0.13/0.40 fof(f457,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (element(X0,X1)|~element(X2,X0)|in(X2,X0)|~element(X3,X1)|in(X3,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f455,f173])).
% 0.13/0.40 fof(f459,plain,(
% 0.13/0.40 spl0_23 <=> ~element(X0,X1)|in(X0,X1)|in(X1,empty_set)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f460,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,X1)|in(X0,X1)|in(X1,empty_set)|~spl0_23)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f459])).
% 0.13/0.40 fof(f462,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~element(X0,X1)|in(X0,X1)|~element(X2,empty_set)|empty(X2)|in(X1,empty_set))),
% 0.13/0.40 inference(resolution,[status(thm)],[f456,f388])).
% 0.13/0.40 fof(f463,plain,(
% 0.13/0.40 spl0_23|spl0_19),
% 0.13/0.40 inference(split_clause,[status(thm)],[f462,f459,f414])).
% 0.13/0.40 fof(f464,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~element(X0,X1)|in(X0,X1)|empty_set=X2|~element(X3,X2)|in(X3,X2)|in(X1,empty_set))),
% 0.13/0.40 inference(resolution,[status(thm)],[f456,f365])).
% 0.13/0.40 fof(f465,plain,(
% 0.13/0.40 spl0_23|spl0_21),
% 0.13/0.40 inference(split_clause,[status(thm)],[f464,f459,f422])).
% 0.13/0.40 fof(f466,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,X1)|in(X0,X1)|empty_set=empty_set|in(X1,empty_set))),
% 0.13/0.40 inference(resolution,[status(thm)],[f456,f231])).
% 0.13/0.40 fof(f467,plain,(
% 0.13/0.40 spl0_23|spl0_22),
% 0.13/0.40 inference(split_clause,[status(thm)],[f466,f459,f429])).
% 0.13/0.40 fof(f468,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,X1)|in(X0,X1)|~spl0_23)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f460,f208])).
% 0.13/0.40 fof(f469,plain,(
% 0.13/0.40 in(empty_set,empty_set)|~spl0_23),
% 0.13/0.40 inference(resolution,[status(thm)],[f468,f436])).
% 0.13/0.40 fof(f470,plain,(
% 0.13/0.40 $false|~spl0_23),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f469,f208])).
% 0.13/0.40 fof(f471,plain,(
% 0.13/0.40 ~spl0_23),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f470])).
% 0.13/0.40 fof(f473,plain,(
% 0.13/0.40 ![X0]: (~element(X0,sk0_11)|~in(sk0_11,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f210,f155])).
% 0.13/0.40 fof(f475,plain,(
% 0.13/0.40 ![X0]: (~element(X0,sk0_3)|~in(sk0_3,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f207,f155])).
% 0.13/0.40 fof(f484,plain,(
% 0.13/0.40 spl0_26 <=> element(sk0_11,sk0_11)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f487,plain,(
% 0.13/0.40 ~element(sk0_11,sk0_11)|~element(sk0_11,sk0_11)),
% 0.13/0.40 inference(resolution,[status(thm)],[f473,f210])).
% 0.13/0.40 fof(f488,plain,(
% 0.13/0.40 ~spl0_26),
% 0.13/0.40 inference(split_clause,[status(thm)],[f487,f484])).
% 0.13/0.40 fof(f489,plain,(
% 0.13/0.40 spl0_27 <=> element(sk0_3,sk0_3)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f492,plain,(
% 0.13/0.40 ~element(sk0_3,sk0_3)|~element(sk0_3,sk0_3)),
% 0.13/0.40 inference(resolution,[status(thm)],[f475,f207])).
% 0.13/0.40 fof(f493,plain,(
% 0.13/0.40 ~spl0_27),
% 0.13/0.40 inference(split_clause,[status(thm)],[f492,f489])).
% 0.13/0.40 fof(f496,plain,(
% 0.13/0.40 spl0_28 <=> empty(empty_set)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f501,plain,(
% 0.13/0.40 ![X0]: (empty(powerset(X0))|in(empty_set,powerset(X0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f173,f336])).
% 0.13/0.40 fof(f502,plain,(
% 0.13/0.40 ![X0]: (in(empty_set,powerset(X0)))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f501,f162])).
% 0.13/0.40 fof(f503,plain,(
% 0.13/0.40 spl0_29 <=> empty(powerset(the_carrier(sk0_0)))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f504,plain,(
% 0.13/0.40 empty(powerset(the_carrier(sk0_0)))|~spl0_29),
% 0.13/0.40 inference(component_clause,[status(thm)],[f503])).
% 0.13/0.40 fof(f538,plain,(
% 0.13/0.40 spl0_31 <=> ~in(X0,empty_set)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f555,plain,(
% 0.13/0.40 $false|~spl0_20),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f418,f208])).
% 0.13/0.40 fof(f556,plain,(
% 0.13/0.40 ~spl0_20),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f555])).
% 0.13/0.40 fof(f566,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~element(X0,X1)|in(X0,X1)|in(X1,empty_set)|~in(X2,empty_set))),
% 0.13/0.40 inference(resolution,[status(thm)],[f456,f197])).
% 0.13/0.40 fof(f567,plain,(
% 0.13/0.40 spl0_23|spl0_31),
% 0.13/0.40 inference(split_clause,[status(thm)],[f566,f459,f538])).
% 0.13/0.40 fof(f570,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,X1)|in(X0,X1)|empty(empty_set)|in(X1,empty_set))),
% 0.13/0.40 inference(resolution,[status(thm)],[f456,f173])).
% 0.13/0.40 fof(f571,plain,(
% 0.13/0.40 spl0_23|spl0_28),
% 0.13/0.40 inference(split_clause,[status(thm)],[f570,f459,f496])).
% 0.13/0.40 fof(f599,plain,(
% 0.13/0.40 $false|spl0_14),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f357,f336])).
% 0.13/0.40 fof(f600,plain,(
% 0.13/0.40 spl0_14),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f599])).
% 0.13/0.40 fof(f601,plain,(
% 0.13/0.40 $false|~spl0_29),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f504,f162])).
% 0.13/0.40 fof(f602,plain,(
% 0.13/0.40 ~spl0_29),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f601])).
% 0.13/0.40 fof(f626,plain,(
% 0.13/0.40 spl0_36 <=> element(X0,empty_set)|~element(X1,X0)|in(X1,X0)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f643,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (element(X0,empty_set)|~element(X1,X0)|in(X1,X0)|in(X2,empty_set)|~element(X3,X2)|in(X3,X2))),
% 0.13/0.40 inference(resolution,[status(thm)],[f457,f456])).
% 0.13/0.40 fof(f644,plain,(
% 0.13/0.40 spl0_36|spl0_23),
% 0.13/0.40 inference(split_clause,[status(thm)],[f643,f626,f459])).
% 0.13/0.40 fof(f664,plain,(
% 0.13/0.40 ![X0]: (element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))|~top_str(X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f157,f159])).
% 0.13/0.40 fof(f669,plain,(
% 0.13/0.40 ![X0]: (element(X0,powerset(X0))|element(X0,powerset(X0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f183,f182])).
% 0.13/0.40 fof(f670,plain,(
% 0.13/0.40 ![X0]: (element(X0,powerset(X0)))),
% 0.13/0.40 inference(duplicate_literals_removal,[status(esa)],[f669])).
% 0.13/0.40 fof(f693,plain,(
% 0.13/0.40 ![X0]: (empty(powerset(X0))|in(X0,powerset(X0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f670,f173])).
% 0.13/0.40 fof(f694,plain,(
% 0.13/0.40 ![X0]: (in(X0,powerset(X0)))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f693,f162])).
% 0.13/0.40 fof(f700,plain,(
% 0.13/0.40 ![X0]: (~in(powerset(X0),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f694,f155])).
% 0.13/0.40 fof(f707,plain,(
% 0.13/0.40 spl0_41 <=> topological_space(sk0_0)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f709,plain,(
% 0.13/0.40 ~topological_space(sk0_0)|spl0_41),
% 0.13/0.40 inference(component_clause,[status(thm)],[f707])).
% 0.13/0.40 fof(f710,plain,(
% 0.13/0.40 spl0_42 <=> element(sk0_4(sk0_0),powerset(the_carrier(sk0_0)))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f711,plain,(
% 0.13/0.40 element(sk0_4(sk0_0),powerset(the_carrier(sk0_0)))|~spl0_42),
% 0.13/0.40 inference(component_clause,[status(thm)],[f710])).
% 0.13/0.40 fof(f713,plain,(
% 0.13/0.40 ~topological_space(sk0_0)|element(sk0_4(sk0_0),powerset(the_carrier(sk0_0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f139,f52])).
% 0.13/0.40 fof(f714,plain,(
% 0.13/0.40 ~spl0_41|spl0_42),
% 0.13/0.40 inference(split_clause,[status(thm)],[f713,f707,f710])).
% 0.13/0.40 fof(f715,plain,(
% 0.13/0.40 $false|spl0_41),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f709,f51])).
% 0.13/0.40 fof(f716,plain,(
% 0.13/0.40 spl0_41),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f715])).
% 0.13/0.40 fof(f717,plain,(
% 0.13/0.40 element(cast_as_carrier_subset(sk0_0),powerset(the_carrier(sk0_0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f664,f52])).
% 0.13/0.40 fof(f718,plain,(
% 0.13/0.40 spl0_43 <=> in(cast_as_carrier_subset(sk0_0),powerset(the_carrier(sk0_0)))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f729,plain,(
% 0.13/0.40 powerset(the_carrier(sk0_0))=empty_set|in(cast_as_carrier_subset(sk0_0),powerset(the_carrier(sk0_0)))),
% 0.13/0.40 inference(resolution,[status(thm)],[f717,f231])).
% 0.13/0.40 fof(f730,plain,(
% 0.13/0.40 spl0_2|spl0_43),
% 0.13/0.40 inference(split_clause,[status(thm)],[f729,f233,f718])).
% 0.13/0.40 fof(f733,plain,(
% 0.13/0.40 spl0_44 <=> ~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(X1,sk0_7(X0,sk0_0))|in(X1,powerset(the_carrier(sk0_0)))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f734,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(X1,sk0_7(X0,sk0_0))|in(X1,powerset(the_carrier(sk0_0)))|~spl0_44)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f733])).
% 0.13/0.40 fof(f736,plain,(
% 0.13/0.40 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(X1,sk0_7(X0,sk0_0))|in(X1,powerset(the_carrier(sk0_0))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f167,f52])).
% 0.13/0.40 fof(f737,plain,(
% 0.13/0.40 ~spl0_41|spl0_44),
% 0.13/0.40 inference(split_clause,[status(thm)],[f736,f707,f733])).
% 0.13/0.40 fof(f738,plain,(
% 0.13/0.40 spl0_45 <=> ~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(X1,sk0_7(X0,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f739,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(X1,sk0_7(X0,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0)|~spl0_45)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f738])).
% 0.13/0.40 fof(f741,plain,(
% 0.13/0.40 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(X1,sk0_7(X0,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f168,f52])).
% 0.13/0.40 fof(f742,plain,(
% 0.13/0.40 ~spl0_41|spl0_45),
% 0.13/0.40 inference(split_clause,[status(thm)],[f741,f707,f738])).
% 0.13/0.40 fof(f743,plain,(
% 0.13/0.40 spl0_46 <=> ~element(X0,powerset(powerset(the_carrier(sk0_0))))|in(X1,sk0_7(X0,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f744,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|in(X1,sk0_7(X0,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0)|~spl0_46)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f743])).
% 0.13/0.40 fof(f746,plain,(
% 0.13/0.40 ![X0,X1]: (~topological_space(sk0_0)|~element(X0,powerset(powerset(the_carrier(sk0_0))))|in(X1,sk0_7(X0,sk0_0))|~in(X1,powerset(the_carrier(sk0_0)))|~in(set_difference(cast_as_carrier_subset(sk0_0),X1),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f169,f52])).
% 0.13/0.40 fof(f747,plain,(
% 0.13/0.40 ~spl0_41|spl0_46),
% 0.13/0.40 inference(split_clause,[status(thm)],[f746,f707,f743])).
% 0.13/0.40 fof(f748,plain,(
% 0.13/0.40 spl0_47 <=> in(sk0_4(sk0_0),powerset(the_carrier(sk0_0)))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f759,plain,(
% 0.13/0.40 powerset(the_carrier(sk0_0))=empty_set|in(sk0_4(sk0_0),powerset(the_carrier(sk0_0)))|~spl0_42),
% 0.13/0.40 inference(resolution,[status(thm)],[f711,f231])).
% 0.13/0.40 fof(f760,plain,(
% 0.13/0.40 spl0_2|spl0_47|~spl0_42),
% 0.13/0.40 inference(split_clause,[status(thm)],[f759,f233,f748,f710])).
% 0.13/0.40 fof(f766,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(sk0_9(powerset(the_carrier(sk0_0)),X1),sk0_7(X0,sk0_0))|element(X1,powerset(powerset(the_carrier(sk0_0))))|~spl0_44)),
% 0.13/0.40 inference(resolution,[status(thm)],[f734,f183])).
% 0.13/0.40 fof(f783,plain,(
% 0.13/0.40 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(powerset(powerset(the_carrier(sk0_0))),sk0_7(X0,sk0_0))|~spl0_44)),
% 0.13/0.40 inference(resolution,[status(thm)],[f734,f700])).
% 0.13/0.40 fof(f785,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(X1,sk0_7(X0,sk0_0))|~in(powerset(the_carrier(sk0_0)),X1)|~spl0_44)),
% 0.13/0.40 inference(resolution,[status(thm)],[f734,f155])).
% 0.13/0.40 fof(f788,plain,(
% 0.13/0.40 spl0_52 <=> ~in(X0,sk0_7(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))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f791,plain,(
% 0.13/0.40 ![X0]: (~in(X0,sk0_7(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_45)),
% 0.13/0.40 inference(resolution,[status(thm)],[f739,f143])).
% 0.13/0.40 fof(f792,plain,(
% 0.13/0.40 spl0_52|spl0_29|~spl0_45),
% 0.13/0.40 inference(split_clause,[status(thm)],[f791,f788,f503,f738])).
% 0.13/0.40 fof(f793,plain,(
% 0.13/0.40 ![X0]: (~in(X0,sk0_7(empty_set,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),empty_set)|~spl0_45)),
% 0.13/0.40 inference(resolution,[status(thm)],[f739,f336])).
% 0.13/0.40 fof(f794,plain,(
% 0.13/0.40 ![X0]: (~in(X0,sk0_7(empty_set,sk0_0))|~spl0_45)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f793,f208])).
% 0.13/0.40 fof(f798,plain,(
% 0.13/0.40 ![X0,X1]: (~in(X0,sk0_7(X1,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),X0),X1)|~in(X1,powerset(powerset(the_carrier(sk0_0))))|~spl0_45)),
% 0.13/0.40 inference(resolution,[status(thm)],[f739,f198])).
% 0.13/0.40 fof(f799,plain,(
% 0.13/0.40 spl0_53 <=> in(X0,sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|~in(X0,powerset(the_carrier(sk0_0)))|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_5(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f802,plain,(
% 0.13/0.40 ![X0]: (in(X0,sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0))|~in(X0,powerset(the_carrier(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_46)),
% 0.13/0.40 inference(resolution,[status(thm)],[f744,f143])).
% 0.13/0.40 fof(f803,plain,(
% 0.13/0.40 spl0_53|spl0_29|~spl0_46),
% 0.13/0.40 inference(split_clause,[status(thm)],[f802,f799,f503,f743])).
% 0.13/0.40 fof(f805,plain,(
% 0.13/0.40 ![X0]: (in(X0,sk0_7(sk0_1,sk0_0))|~in(X0,powerset(the_carrier(sk0_0)))|~in(set_difference(cast_as_carrier_subset(sk0_0),X0),sk0_1)|~spl0_46)),
% 0.13/0.40 inference(resolution,[status(thm)],[f744,f53])).
% 0.13/0.40 fof(f809,plain,(
% 0.13/0.40 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|element(sk0_7(X0,sk0_0),powerset(powerset(the_carrier(sk0_0))))|element(sk0_7(X0,sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_44)),
% 0.13/0.40 inference(resolution,[status(thm)],[f766,f182])).
% 0.13/0.40 fof(f810,plain,(
% 0.13/0.40 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|element(sk0_7(X0,sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_44)),
% 0.13/0.40 inference(duplicate_literals_removal,[status(esa)],[f809])).
% 0.13/0.40 fof(f817,plain,(
% 0.13/0.40 sk0_7(empty_set,sk0_0)=empty_set|~spl0_45),
% 0.13/0.40 inference(resolution,[status(thm)],[f794,f232])).
% 0.13/0.40 fof(f828,plain,(
% 0.13/0.40 spl0_54 <=> ~in(sk0_9(powerset(the_carrier(sk0_0)),X0),empty_set)|element(X0,powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f831,plain,(
% 0.13/0.40 ![X0]: (~element(empty_set,powerset(powerset(the_carrier(sk0_0))))|~in(sk0_9(powerset(the_carrier(sk0_0)),X0),empty_set)|element(X0,powerset(powerset(the_carrier(sk0_0))))|~spl0_44|~spl0_45)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f817,f766])).
% 0.13/0.40 fof(f832,plain,(
% 0.13/0.40 ~spl0_14|spl0_54|~spl0_44|~spl0_45),
% 0.13/0.40 inference(split_clause,[status(thm)],[f831,f355,f828,f733,f738])).
% 0.13/0.40 fof(f834,plain,(
% 0.13/0.40 spl0_55 <=> ~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(powerset(the_carrier(sk0_0)),sk0_7(X0,sk0_0))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f835,plain,(
% 0.13/0.40 ![X0]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(powerset(the_carrier(sk0_0)),sk0_7(X0,sk0_0))|~spl0_55)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f834])).
% 0.13/0.40 fof(f837,plain,(
% 0.13/0.40 ![X0,X1]: (~element(X0,powerset(powerset(the_carrier(sk0_0))))|~in(powerset(the_carrier(sk0_0)),sk0_7(X0,sk0_0))|~element(X1,powerset(powerset(the_carrier(sk0_0))))|~in(powerset(the_carrier(sk0_0)),sk0_7(X1,sk0_0))|~spl0_44)),
% 0.13/0.40 inference(resolution,[status(thm)],[f785,f734])).
% 0.13/0.40 fof(f838,plain,(
% 0.13/0.40 spl0_55|~spl0_44),
% 0.13/0.40 inference(split_clause,[status(thm)],[f837,f834,f733])).
% 0.13/0.40 fof(f860,plain,(
% 0.13/0.40 spl0_56 <=> in(powerset(the_carrier(sk0_0)),empty_set)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f863,plain,(
% 0.13/0.40 ~element(empty_set,powerset(powerset(the_carrier(sk0_0))))|~in(powerset(the_carrier(sk0_0)),empty_set)|~spl0_55|~spl0_45),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f817,f835])).
% 0.13/0.40 fof(f864,plain,(
% 0.13/0.40 ~spl0_14|~spl0_56|~spl0_55|~spl0_45),
% 0.13/0.40 inference(split_clause,[status(thm)],[f863,f355,f860,f834,f738])).
% 0.13/0.40 fof(f865,plain,(
% 0.13/0.40 spl0_57 <=> in(powerset(powerset(the_carrier(sk0_0))),empty_set)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f868,plain,(
% 0.13/0.40 ~element(empty_set,powerset(powerset(the_carrier(sk0_0))))|~in(powerset(powerset(the_carrier(sk0_0))),empty_set)|~spl0_44|~spl0_45),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f817,f783])).
% 0.13/0.40 fof(f869,plain,(
% 0.13/0.40 ~spl0_14|~spl0_57|~spl0_44|~spl0_45),
% 0.13/0.40 inference(split_clause,[status(thm)],[f868,f355,f865,f733,f738])).
% 0.13/0.40 fof(f870,plain,(
% 0.13/0.40 spl0_58 <=> element(sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f871,plain,(
% 0.13/0.40 element(sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_58),
% 0.13/0.40 inference(component_clause,[status(thm)],[f870])).
% 0.13/0.40 fof(f873,plain,(
% 0.13/0.40 element(sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),powerset(powerset(the_carrier(sk0_0))))|empty(powerset(the_carrier(sk0_0)))|~spl0_44),
% 0.13/0.40 inference(resolution,[status(thm)],[f810,f143])).
% 0.13/0.40 fof(f874,plain,(
% 0.13/0.40 spl0_58|spl0_29|~spl0_44),
% 0.13/0.40 inference(split_clause,[status(thm)],[f873,f870,f503,f733])).
% 0.13/0.40 fof(f877,plain,(
% 0.13/0.40 element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_44),
% 0.13/0.40 inference(resolution,[status(thm)],[f810,f53])).
% 0.13/0.40 fof(f879,plain,(
% 0.13/0.40 element(sk0_7(powerset(the_carrier(sk0_0)),sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_44),
% 0.13/0.40 inference(resolution,[status(thm)],[f810,f670])).
% 0.13/0.40 fof(f881,plain,(
% 0.13/0.40 element(sk0_7(sk0_7(sk0_1,sk0_0),sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_44),
% 0.13/0.40 inference(resolution,[status(thm)],[f877,f810])).
% 0.13/0.40 fof(f884,plain,(
% 0.13/0.40 spl0_59 <=> in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f885,plain,(
% 0.13/0.40 in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))|~spl0_59),
% 0.13/0.40 inference(component_clause,[status(thm)],[f884])).
% 0.13/0.40 fof(f887,plain,(
% 0.13/0.40 spl0_60 <=> in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(sk0_7(sk0_1,sk0_0))),sk0_1)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f888,plain,(
% 0.13/0.40 in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(sk0_7(sk0_1,sk0_0))),sk0_1)|~spl0_60),
% 0.13/0.40 inference(component_clause,[status(thm)],[f887])).
% 0.13/0.40 fof(f890,plain,(
% 0.13/0.40 in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))|in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(sk0_7(sk0_1,sk0_0))),sk0_1)|~spl0_44),
% 0.13/0.40 inference(resolution,[status(thm)],[f877,f55])).
% 0.13/0.40 fof(f891,plain,(
% 0.13/0.40 spl0_59|spl0_60|~spl0_44),
% 0.13/0.40 inference(split_clause,[status(thm)],[f890,f884,f887,f733])).
% 0.13/0.40 fof(f892,plain,(
% 0.13/0.40 spl0_61 <=> in(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f903,plain,(
% 0.13/0.40 powerset(powerset(the_carrier(sk0_0)))=empty_set|in(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_44),
% 0.13/0.40 inference(resolution,[status(thm)],[f877,f231])).
% 0.13/0.40 fof(f904,plain,(
% 0.13/0.40 spl0_4|spl0_61|~spl0_44),
% 0.13/0.40 inference(split_clause,[status(thm)],[f903,f241,f892,f733])).
% 0.13/0.40 fof(f922,plain,(
% 0.13/0.40 spl0_64 <=> in(sk0_7(powerset(the_carrier(sk0_0)),sk0_0),powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f933,plain,(
% 0.13/0.40 powerset(powerset(the_carrier(sk0_0)))=empty_set|in(sk0_7(powerset(the_carrier(sk0_0)),sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_44),
% 0.13/0.40 inference(resolution,[status(thm)],[f879,f231])).
% 0.13/0.40 fof(f934,plain,(
% 0.13/0.40 spl0_4|spl0_64|~spl0_44),
% 0.13/0.40 inference(split_clause,[status(thm)],[f933,f241,f922,f733])).
% 0.13/0.40 fof(f948,plain,(
% 0.13/0.40 spl0_67 <=> in(sk0_7(sk0_7(sk0_1,sk0_0),sk0_0),powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f959,plain,(
% 0.13/0.40 powerset(powerset(the_carrier(sk0_0)))=empty_set|in(sk0_7(sk0_7(sk0_1,sk0_0),sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_44),
% 0.13/0.40 inference(resolution,[status(thm)],[f881,f231])).
% 0.13/0.40 fof(f960,plain,(
% 0.13/0.40 spl0_4|spl0_67|~spl0_44),
% 0.13/0.40 inference(split_clause,[status(thm)],[f959,f241,f948,f733])).
% 0.13/0.40 fof(f971,plain,(
% 0.13/0.40 in(set_difference(cast_as_carrier_subset(sk0_0),sk0_2(sk0_7(sk0_1,sk0_0))),sk0_1)|~in(sk0_1,powerset(powerset(the_carrier(sk0_0))))|~spl0_45|~spl0_59),
% 0.13/0.40 inference(resolution,[status(thm)],[f798,f885])).
% 0.13/0.40 fof(f972,plain,(
% 0.13/0.40 spl0_60|~spl0_5|~spl0_45|~spl0_59),
% 0.13/0.40 inference(split_clause,[status(thm)],[f971,f887,f244,f738,f884])).
% 0.13/0.40 fof(f979,plain,(
% 0.13/0.40 spl0_68 <=> ~in(X0,empty_set)|in(set_difference(cast_as_carrier_subset(sk0_0),X0),empty_set)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f982,plain,(
% 0.13/0.40 spl0_69 <=> in(empty_set,powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f984,plain,(
% 0.13/0.40 ~in(empty_set,powerset(powerset(the_carrier(sk0_0))))|spl0_69),
% 0.13/0.40 inference(component_clause,[status(thm)],[f982])).
% 0.13/0.40 fof(f985,plain,(
% 0.13/0.40 ![X0]: (~in(X0,empty_set)|in(set_difference(cast_as_carrier_subset(sk0_0),X0),empty_set)|~in(empty_set,powerset(powerset(the_carrier(sk0_0))))|~spl0_45)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f817,f798])).
% 0.13/0.40 fof(f986,plain,(
% 0.13/0.40 spl0_68|~spl0_69|~spl0_45),
% 0.13/0.40 inference(split_clause,[status(thm)],[f985,f979,f982,f738])).
% 0.13/0.40 fof(f987,plain,(
% 0.13/0.40 $false|spl0_69),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f984,f502])).
% 0.13/0.40 fof(f988,plain,(
% 0.13/0.40 spl0_69),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f987])).
% 0.13/0.40 fof(f990,plain,(
% 0.13/0.40 spl0_70 <=> element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f992,plain,(
% 0.13/0.40 ~element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|spl0_70),
% 0.13/0.40 inference(component_clause,[status(thm)],[f990])).
% 0.13/0.40 fof(f993,plain,(
% 0.13/0.40 ~element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|~in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))|~spl0_60),
% 0.13/0.41 inference(resolution,[status(thm)],[f888,f56])).
% 0.13/0.41 fof(f994,plain,(
% 0.13/0.41 ~spl0_70|~spl0_59|~spl0_60),
% 0.13/0.41 inference(split_clause,[status(thm)],[f993,f990,f884,f887])).
% 0.13/0.41 fof(f996,plain,(
% 0.13/0.41 $false|~spl0_44|spl0_70),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f992,f877])).
% 0.13/0.41 fof(f997,plain,(
% 0.13/0.41 ~spl0_44|spl0_70),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f996])).
% 0.13/0.41 fof(f1009,plain,(
% 0.13/0.41 spl0_73 <=> in(sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),powerset(powerset(the_carrier(sk0_0))))),
% 0.13/0.41 introduced(split_symbol_definition)).
% 0.13/0.41 fof(f1020,plain,(
% 0.13/0.41 powerset(powerset(the_carrier(sk0_0)))=empty_set|in(sk0_7(sk0_5(powerset(the_carrier(sk0_0))),sk0_0),powerset(powerset(the_carrier(sk0_0))))|~spl0_58),
% 0.13/0.41 inference(resolution,[status(thm)],[f871,f231])).
% 0.13/0.41 fof(f1021,plain,(
% 0.13/0.41 spl0_4|spl0_73|~spl0_58),
% 0.13/0.41 inference(split_clause,[status(thm)],[f1020,f241,f1009,f870])).
% 0.13/0.41 fof(f1024,plain,(
% 0.13/0.41 spl0_74 <=> in(sk0_2(sk0_7(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))),
% 0.13/0.41 introduced(split_symbol_definition)).
% 0.13/0.41 fof(f1026,plain,(
% 0.13/0.41 ~in(sk0_2(sk0_7(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|spl0_74),
% 0.13/0.41 inference(component_clause,[status(thm)],[f1024])).
% 0.13/0.41 fof(f1027,plain,(
% 0.13/0.41 in(sk0_2(sk0_7(sk0_1,sk0_0)),sk0_7(sk0_1,sk0_0))|~in(sk0_2(sk0_7(sk0_1,sk0_0)),powerset(the_carrier(sk0_0)))|~spl0_46|~spl0_60),
% 0.13/0.41 inference(resolution,[status(thm)],[f805,f888])).
% 0.13/0.41 fof(f1028,plain,(
% 0.13/0.41 spl0_59|~spl0_74|~spl0_46|~spl0_60),
% 0.13/0.41 inference(split_clause,[status(thm)],[f1027,f884,f1024,f743,f887])).
% 0.13/0.41 fof(f1029,plain,(
% 0.13/0.41 spl0_75 <=> in(sk0_2(empty_set),sk0_7(sk0_1,sk0_0))),
% 0.13/0.41 introduced(split_symbol_definition)).
% 0.13/0.41 fof(f1032,plain,(
% 0.13/0.41 spl0_76 <=> in(sk0_2(empty_set),powerset(the_carrier(sk0_0)))),
% 0.13/0.41 introduced(split_symbol_definition)).
% 0.13/0.41 fof(f1034,plain,(
% 0.13/0.41 ~in(sk0_2(empty_set),powerset(the_carrier(sk0_0)))|spl0_76),
% 0.13/0.41 inference(component_clause,[status(thm)],[f1032])).
% 0.13/0.41 fof(f1035,plain,(
% 0.13/0.41 in(sk0_2(empty_set),sk0_7(sk0_1,sk0_0))|~in(sk0_2(empty_set),powerset(the_carrier(sk0_0)))|~spl0_46|~spl0_13),
% 0.13/0.41 inference(resolution,[status(thm)],[f805,f341])).
% 0.13/0.41 fof(f1036,plain,(
% 0.13/0.41 spl0_75|~spl0_76|~spl0_46|~spl0_13),
% 0.13/0.41 inference(split_clause,[status(thm)],[f1035,f1029,f1032,f743,f340])).
% 0.13/0.41 fof(f1037,plain,(
% 0.13/0.41 ~element(empty_set,powerset(powerset(the_carrier(sk0_0))))|spl0_76|~spl0_3),
% 0.13/0.41 inference(resolution,[status(thm)],[f1034,f237])).
% 0.13/0.41 fof(f1038,plain,(
% 0.13/0.41 ~spl0_14|spl0_76|~spl0_3),
% 0.13/0.41 inference(split_clause,[status(thm)],[f1037,f355,f1032,f236])).
% 0.13/0.41 fof(f1045,plain,(
% 0.13/0.41 ~element(sk0_7(sk0_1,sk0_0),powerset(powerset(the_carrier(sk0_0))))|spl0_74|~spl0_3),
% 0.13/0.41 inference(resolution,[status(thm)],[f1026,f237])).
% 0.13/0.41 fof(f1046,plain,(
% 0.13/0.41 ~spl0_70|spl0_74|~spl0_3),
% 0.13/0.41 inference(split_clause,[status(thm)],[f1045,f990,f1024,f236])).
% 0.13/0.41 fof(f1049,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f240,f248,f267,f279,f289,f292,f347,f349,f463,f465,f467,f471,f488,f493,f556,f567,f571,f600,f602,f644,f714,f716,f730,f737,f742,f747,f760,f792,f803,f832,f838,f864,f869,f874,f891,f904,f934,f960,f972,f986,f988,f994,f997,f1021,f1028,f1036,f1038,f1046])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.071604 seconds
% 0.13/0.41 % CPU time: 0.455197 seconds
% 0.13/0.41 % Total memory used: 58.568 MB
% 0.13/0.41 % Net memory used: 58.289 MB
%------------------------------------------------------------------------------