TSTP Solution File: SEU401+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU401+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:36:56 EDT 2023
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU401+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 09:29:57 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f1,conjecture,(
% 0.15/0.42 (! [A,B,C] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A) )=> (! [D,E,F] :( ( (! [G] :( in(G,E)<=> ( in(G,the_carrier(B))& (? [H] :( netstr_induced_subset(H,A,B)& (? [I] :( element(I,the_carrier(B))& D = topstr_closure(A,H)& G = I& H = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I))) ) )) )) ))& (! [G] :( in(G,F)<=> ( in(G,the_carrier(B))& (? [J] :( netstr_induced_subset(J,A,B)& (? [K] :( element(K,the_carrier(B))& D = topstr_closure(A,J)& G = K& J = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K))) ) )) )) ) ))=> E = F ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f2,negated_conjecture,(
% 0.15/0.42 ~((! [A,B,C] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A) )=> (! [D,E,F] :( ( (! [G] :( in(G,E)<=> ( in(G,the_carrier(B))& (? [H] :( netstr_induced_subset(H,A,B)& (? [I] :( element(I,the_carrier(B))& D = topstr_closure(A,H)& G = I& H = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I))) ) )) )) ))& (! [G] :( in(G,F)<=> ( in(G,the_carrier(B))& (? [J] :( netstr_induced_subset(J,A,B)& (? [K] :( element(K,the_carrier(B))& D = topstr_closure(A,J)& G = K& J = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K))) ) )) )) ) ))=> E = F ) )) ))),
% 0.15/0.42 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.42 fof(f3,axiom,(
% 0.15/0.42 (! [A] :( top_str(A)=> (? [B] :( element(B,powerset(the_carrier(A)))& empty(B)& v1_membered(B)& v2_membered(B)& v3_membered(B)& v4_membered(B)& v5_membered(B)& boundary_set(B,A) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f4,axiom,(
% 0.15/0.42 (! [A] :( ( topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& empty(B)& open_subset(B,A)& closed_subset(B,A)& v1_membered(B)& v2_membered(B)& v3_membered(B)& v4_membered(B)& v5_membered(B)& boundary_set(B,A)& nowhere_dense(B,A) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f13,axiom,(
% 0.15/0.42 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( nowhere_dense(B,A)=> boundary_set(B,A) ) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f14,axiom,(
% 0.15/0.42 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( ( closed_subset(B,A)& boundary_set(B,A) )=> ( boundary_set(B,A)& nowhere_dense(B,A) ) ) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f15,axiom,(
% 0.15/0.42 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( ( open_subset(B,A)& nowhere_dense(B,A) )=> ( empty(B)& open_subset(B,A)& closed_subset(B,A)& v1_membered(B)& v2_membered(B)& v3_membered(B)& v4_membered(B)& v5_membered(B)& boundary_set(B,A)& nowhere_dense(B,A) ) ) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f21,axiom,(
% 0.15/0.42 (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f29,axiom,(
% 0.15/0.42 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> ( open_subset(B,A)& closed_subset(B,A) ) ) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f30,axiom,(
% 0.15/0.42 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> boundary_set(B,A) ) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f31,axiom,(
% 0.15/0.42 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> nowhere_dense(B,A) ) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f40,axiom,(
% 0.15/0.42 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f52,axiom,(
% 0.15/0.42 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(the_carrier(A))) )=> closed_subset(topstr_closure(A,B),A) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f59,axiom,(
% 0.15/0.42 (! [A,B,C] :( relation_of2(C,A,B)=> relation_rng_as_subset(A,B,C) = relation_rng(C) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f61,axiom,(
% 0.15/0.42 (! [A,B,C] :( relation_of2(C,A,B)=> element(relation_rng_as_subset(A,B,C),powerset(B)) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f62,axiom,(
% 0.15/0.42 (! [A,B] :( ( top_str(A)& element(B,powerset(the_carrier(A))) )=> element(topstr_closure(A,B),powerset(the_carrier(A))) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f64,axiom,(
% 0.15/0.42 (! [A] :( top_str(A)=> one_sorted_str(A) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f65,axiom,(
% 0.15/0.42 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> rel_str(B) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f67,axiom,(
% 0.15/0.42 (! [A,B] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& net_str(B,A) )=> (! [C] :( netstr_induced_subset(C,A,B)=> element(C,powerset(the_carrier(A))) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f70,axiom,(
% 0.15/0.42 (! [A,B] :( (! [C] :( in(C,A)<=> in(C,B) ))=> A = B ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f71,plain,(
% 0.15/0.42 (?[A,B,C]: (((((((~empty_carrier(A)&topological_space(A))&top_str(A))&~empty_carrier(B))&transitive_relstr(B))&directed_relstr(B))&net_str(B,A))&(?[D,E,F]: (((![G]: (in(G,E)<=>(in(G,the_carrier(B))&(?[H]: (netstr_induced_subset(H,A,B)&(?[I]: (((element(I,the_carrier(B))&D=topstr_closure(A,H))&G=I)&H=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I))))))))))&(![G]: (in(G,F)<=>(in(G,the_carrier(B))&(?[J]: (netstr_induced_subset(J,A,B)&(?[K]: (((element(K,the_carrier(B))&D=topstr_closure(A,J))&G=K)&J=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K)))))))))))&~E=F))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.42 fof(f72,plain,(
% 0.15/0.42 ?[A,B,C]: (((((((~empty_carrier(A)&topological_space(A))&top_str(A))&~empty_carrier(B))&transitive_relstr(B))&directed_relstr(B))&net_str(B,A))&(?[D,E,F]: (((![G]: ((~in(G,E)|(in(G,the_carrier(B))&(?[H]: (netstr_induced_subset(H,A,B)&(?[I]: (((element(I,the_carrier(B))&D=topstr_closure(A,H))&G=I)&H=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I)))))))))&(in(G,E)|(~in(G,the_carrier(B))|(![H]: (~netstr_induced_subset(H,A,B)|(![I]: (((~element(I,the_carrier(B))|~D=topstr_closure(A,H))|~G=I)|~H=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I)))))))))))&(![G]: ((~in(G,F)|(in(G,the_carrier(B))&(?[J]: (netstr_induced_subset(J,A,B)&(?[K]: (((element(K,the_carrier(B))&D=topstr_closure(A,J))&G=K)&J=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K)))))))))&(in(G,F)|(~in(G,the_carrier(B))|(![J]: (~netstr_induced_subset(J,A,B)|(![K]: (((~element(K,the_carrier(B))|~D=topstr_closure(A,J))|~G=K)|~J=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K))))))))))))&~E=F)))),
% 0.15/0.42 inference(NNF_transformation,[status(esa)],[f71])).
% 0.15/0.42 fof(f73,plain,(
% 0.15/0.42 ?[A,B]: (((((((~empty_carrier(A)&topological_space(A))&top_str(A))&~empty_carrier(B))&transitive_relstr(B))&directed_relstr(B))&net_str(B,A))&(?[E,F]: ((?[D]: (((![G]: (~in(G,E)|(in(G,the_carrier(B))&(?[H]: (netstr_induced_subset(H,A,B)&(?[I]: (((element(I,the_carrier(B))&D=topstr_closure(A,H))&G=I)&H=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I))))))))))&(![G]: (in(G,E)|(~in(G,the_carrier(B))|(![H]: (~netstr_induced_subset(H,A,B)|(![I]: (((~element(I,the_carrier(B))|~D=topstr_closure(A,H))|~G=I)|~H=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I)))))))))))&((![G]: (~in(G,F)|(in(G,the_carrier(B))&(?[J]: (netstr_induced_subset(J,A,B)&(?[K]: (((element(K,the_carrier(B))&D=topstr_closure(A,J))&G=K)&J=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K))))))))))&(![G]: (in(G,F)|(~in(G,the_carrier(B))|(![J]: (~netstr_induced_subset(J,A,B)|(![K]: (((~element(K,the_carrier(B))|~D=topstr_closure(A,J))|~G=K)|~J=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K)))))))))))))&~E=F)))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f72])).
% 0.15/0.42 fof(f74,plain,(
% 0.15/0.42 (((((((~empty_carrier(sk0_0)&topological_space(sk0_0))&top_str(sk0_0))&~empty_carrier(sk0_1))&transitive_relstr(sk0_1))&directed_relstr(sk0_1))&net_str(sk0_1,sk0_0))&((((![G]: (~in(G,sk0_2)|(in(G,the_carrier(sk0_1))&(netstr_induced_subset(sk0_5(G),sk0_0,sk0_1)&(((element(sk0_6(G),the_carrier(sk0_1))&sk0_4=topstr_closure(sk0_0,sk0_5(G)))&G=sk0_6(G))&sk0_5(G)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_6(G))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_6(G)))))))))&(![G]: (in(G,sk0_2)|(~in(G,the_carrier(sk0_1))|(![H]: (~netstr_induced_subset(H,sk0_0,sk0_1)|(![I]: (((~element(I,the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,H))|~G=I)|~H=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,I)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,I)))))))))))&((![G]: (~in(G,sk0_3)|(in(G,the_carrier(sk0_1))&(netstr_induced_subset(sk0_7(G),sk0_0,sk0_1)&(((element(sk0_8(G),the_carrier(sk0_1))&sk0_4=topstr_closure(sk0_0,sk0_7(G)))&G=sk0_8(G))&sk0_7(G)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(G))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_8(G)))))))))&(![G]: (in(G,sk0_3)|(~in(G,the_carrier(sk0_1))|(![J]: (~netstr_induced_subset(J,sk0_0,sk0_1)|(![K]: (((~element(K,the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,J))|~G=K)|~J=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,K)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,K))))))))))))&~sk0_2=sk0_3))),
% 0.15/0.42 inference(skolemization,[status(esa)],[f73])).
% 0.15/0.42 fof(f75,plain,(
% 0.15/0.42 ~empty_carrier(sk0_0)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f76,plain,(
% 0.15/0.42 topological_space(sk0_0)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f77,plain,(
% 0.15/0.42 top_str(sk0_0)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f78,plain,(
% 0.15/0.42 ~empty_carrier(sk0_1)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f81,plain,(
% 0.15/0.42 net_str(sk0_1,sk0_0)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f82,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_2)|in(X0,the_carrier(sk0_1)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f83,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_2)|netstr_induced_subset(sk0_5(X0),sk0_0,sk0_1))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f84,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_2)|element(sk0_6(X0),the_carrier(sk0_1)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f85,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_2)|sk0_4=topstr_closure(sk0_0,sk0_5(X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f86,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_2)|X0=sk0_6(X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f87,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_2)|sk0_5(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_6(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_6(X0)))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f88,plain,(
% 0.15/0.42 ![X0,X1,X2]: (in(X0,sk0_2)|~in(X0,the_carrier(sk0_1))|~netstr_induced_subset(X1,sk0_0,sk0_1)|~element(X2,the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,X1)|~X0=X2|~X1=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,X2)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,X2))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f89,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_3)|in(X0,the_carrier(sk0_1)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f90,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_3)|netstr_induced_subset(sk0_7(X0),sk0_0,sk0_1))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f91,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_3)|element(sk0_8(X0),the_carrier(sk0_1)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f92,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_3)|sk0_4=topstr_closure(sk0_0,sk0_7(X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f93,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_3)|X0=sk0_8(X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f94,plain,(
% 0.15/0.42 ![X0]: (~in(X0,sk0_3)|sk0_7(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_8(X0)))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f95,plain,(
% 0.15/0.42 ![X0,X1,X2]: (in(X0,sk0_3)|~in(X0,the_carrier(sk0_1))|~netstr_induced_subset(X1,sk0_0,sk0_1)|~element(X2,the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,X1)|~X0=X2|~X1=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,X2)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,X2))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f96,plain,(
% 0.15/0.42 ~sk0_2=sk0_3),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f97,plain,(
% 0.15/0.42 ![A]: (~top_str(A)|(?[B]: (((((((element(B,powerset(the_carrier(A)))&empty(B))&v1_membered(B))&v2_membered(B))&v3_membered(B))&v4_membered(B))&v5_membered(B))&boundary_set(B,A))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.15/0.42 fof(f98,plain,(
% 0.15/0.42 ![A]: (~top_str(A)|(((((((element(sk0_9(A),powerset(the_carrier(A)))&empty(sk0_9(A)))&v1_membered(sk0_9(A)))&v2_membered(sk0_9(A)))&v3_membered(sk0_9(A)))&v4_membered(sk0_9(A)))&v5_membered(sk0_9(A)))&boundary_set(sk0_9(A),A)))),
% 0.15/0.42 inference(skolemization,[status(esa)],[f97])).
% 0.15/0.42 fof(f99,plain,(
% 0.15/0.42 ![X0]: (~top_str(X0)|element(sk0_9(X0),powerset(the_carrier(X0))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f98])).
% 0.15/0.42 fof(f100,plain,(
% 0.15/0.42 ![X0]: (~top_str(X0)|empty(sk0_9(X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f98])).
% 0.15/0.42 fof(f106,plain,(
% 0.15/0.42 ![X0]: (~top_str(X0)|boundary_set(sk0_9(X0),X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f98])).
% 0.15/0.42 fof(f107,plain,(
% 0.15/0.42 ![A]: ((~topological_space(A)|~top_str(A))|(?[B]: ((((((((((element(B,powerset(the_carrier(A)))&empty(B))&open_subset(B,A))&closed_subset(B,A))&v1_membered(B))&v2_membered(B))&v3_membered(B))&v4_membered(B))&v5_membered(B))&boundary_set(B,A))&nowhere_dense(B,A))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.15/0.42 fof(f108,plain,(
% 0.15/0.42 ![A]: ((~topological_space(A)|~top_str(A))|((((((((((element(sk0_10(A),powerset(the_carrier(A)))&empty(sk0_10(A)))&open_subset(sk0_10(A),A))&closed_subset(sk0_10(A),A))&v1_membered(sk0_10(A)))&v2_membered(sk0_10(A)))&v3_membered(sk0_10(A)))&v4_membered(sk0_10(A)))&v5_membered(sk0_10(A)))&boundary_set(sk0_10(A),A))&nowhere_dense(sk0_10(A),A)))),
% 0.15/0.42 inference(skolemization,[status(esa)],[f107])).
% 0.15/0.42 fof(f109,plain,(
% 0.15/0.42 ![X0]: (~topological_space(X0)|~top_str(X0)|element(sk0_10(X0),powerset(the_carrier(X0))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f108])).
% 0.15/0.42 fof(f111,plain,(
% 0.15/0.42 ![X0]: (~topological_space(X0)|~top_str(X0)|open_subset(sk0_10(X0),X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f108])).
% 0.15/0.42 fof(f112,plain,(
% 0.15/0.42 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(sk0_10(X0),X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f108])).
% 0.15/0.42 fof(f119,plain,(
% 0.15/0.42 ![X0]: (~topological_space(X0)|~top_str(X0)|nowhere_dense(sk0_10(X0),X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f108])).
% 0.15/0.42 fof(f152,plain,(
% 0.15/0.42 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~nowhere_dense(B,A)|boundary_set(B,A)))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.15/0.42 fof(f153,plain,(
% 0.15/0.42 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~nowhere_dense(X1,X0)|boundary_set(X1,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f152])).
% 0.15/0.42 fof(f154,plain,(
% 0.15/0.42 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|((~closed_subset(B,A)|~boundary_set(B,A))|(boundary_set(B,A)&nowhere_dense(B,A))))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.42 fof(f156,plain,(
% 0.15/0.42 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~closed_subset(X1,X0)|~boundary_set(X1,X0)|nowhere_dense(X1,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f154])).
% 0.15/0.42 fof(f157,plain,(
% 0.15/0.42 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|((~open_subset(B,A)|~nowhere_dense(B,A))|(((((((((empty(B)&open_subset(B,A))&closed_subset(B,A))&v1_membered(B))&v2_membered(B))&v3_membered(B))&v4_membered(B))&v5_membered(B))&boundary_set(B,A))&nowhere_dense(B,A))))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.42 fof(f158,plain,(
% 0.15/0.42 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|empty(X1))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f157])).
% 0.15/0.42 fof(f185,plain,(
% 0.15/0.42 ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.15/0.42 fof(f186,plain,(
% 0.15/0.42 ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f185])).
% 0.15/0.42 fof(f211,plain,(
% 0.15/0.42 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|(open_subset(B,A)&closed_subset(B,A))))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.15/0.42 fof(f212,plain,(
% 0.15/0.42 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|open_subset(X1,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f211])).
% 0.15/0.42 fof(f213,plain,(
% 0.15/0.42 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|closed_subset(X1,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f211])).
% 0.15/0.42 fof(f214,plain,(
% 0.15/0.42 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|boundary_set(B,A)))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.15/0.42 fof(f215,plain,(
% 0.15/0.42 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|boundary_set(X1,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f214])).
% 0.15/0.42 fof(f216,plain,(
% 0.15/0.42 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|nowhere_dense(B,A)))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.15/0.42 fof(f217,plain,(
% 0.15/0.42 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|nowhere_dense(X1,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f216])).
% 0.15/0.42 fof(f239,plain,(
% 0.15/0.42 ![A,B,C]: ((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.15/0.42 inference(NNF_transformation,[status(esa)],[f40])).
% 0.15/0.42 fof(f240,plain,(
% 0.15/0.42 (![A,B,C]: (~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))&(![A,B,C]: (relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f239])).
% 0.15/0.42 fof(f241,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f240])).
% 0.15/0.42 fof(f261,plain,(
% 0.15/0.42 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(the_carrier(A))))|closed_subset(topstr_closure(A,B),A))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 0.15/0.42 fof(f262,plain,(
% 0.15/0.42 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|closed_subset(topstr_closure(X0,X1),X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f261])).
% 0.15/0.42 fof(f289,plain,(
% 0.15/0.42 ![A,B,C]: (~relation_of2(C,A,B)|relation_rng_as_subset(A,B,C)=relation_rng(C))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 0.15/0.42 fof(f290,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|relation_rng_as_subset(X1,X2,X0)=relation_rng(X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f289])).
% 0.15/0.42 fof(f293,plain,(
% 0.15/0.42 ![A,B,C]: (~relation_of2(C,A,B)|element(relation_rng_as_subset(A,B,C),powerset(B)))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f61])).
% 0.15/0.42 fof(f294,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|element(relation_rng_as_subset(X1,X2,X0),powerset(X2)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f293])).
% 0.15/0.42 fof(f295,plain,(
% 0.15/0.42 ![A,B]: ((~top_str(A)|~element(B,powerset(the_carrier(A))))|element(topstr_closure(A,B),powerset(the_carrier(A))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f62])).
% 0.15/0.42 fof(f296,plain,(
% 0.15/0.42 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|element(topstr_closure(X0,X1),powerset(the_carrier(X0))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f295])).
% 0.15/0.42 fof(f300,plain,(
% 0.15/0.42 ![A]: (~top_str(A)|one_sorted_str(A))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 0.15/0.42 fof(f301,plain,(
% 0.15/0.42 ![X0]: (~top_str(X0)|one_sorted_str(X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f300])).
% 0.15/0.42 fof(f302,plain,(
% 0.15/0.42 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|rel_str(B))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 0.15/0.42 fof(f303,plain,(
% 0.15/0.42 ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|rel_str(X1))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f302])).
% 0.15/0.42 fof(f304,plain,(
% 0.15/0.42 ![A,B]: ((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~net_str(B,A))|(![C]: (~netstr_induced_subset(C,A,B)|element(C,powerset(the_carrier(A))))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.15/0.42 fof(f305,plain,(
% 0.15/0.42 ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~netstr_induced_subset(X2,X0,X1)|element(X2,powerset(the_carrier(X0))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f304])).
% 0.15/0.42 fof(f310,plain,(
% 0.15/0.42 ![A,B]: ((?[C]: (in(C,A)<~>in(C,B)))|A=B)),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 0.15/0.42 fof(f311,plain,(
% 0.15/0.42 ![A,B]: ((?[C]: ((in(C,A)|in(C,B))&(~in(C,A)|~in(C,B))))|A=B)),
% 0.15/0.42 inference(NNF_transformation,[status(esa)],[f310])).
% 0.15/0.42 fof(f312,plain,(
% 0.15/0.42 ![A,B]: (((in(sk0_29(B,A),A)|in(sk0_29(B,A),B))&(~in(sk0_29(B,A),A)|~in(sk0_29(B,A),B)))|A=B)),
% 0.15/0.42 inference(skolemization,[status(esa)],[f311])).
% 0.15/0.42 fof(f313,plain,(
% 0.15/0.42 ![X0,X1]: (in(sk0_29(X0,X1),X1)|in(sk0_29(X0,X1),X0)|X1=X0)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f312])).
% 0.15/0.42 fof(f314,plain,(
% 0.15/0.42 ![X0,X1]: (~in(sk0_29(X0,X1),X1)|~in(sk0_29(X0,X1),X0)|X1=X0)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f312])).
% 0.15/0.42 fof(f315,plain,(
% 0.15/0.42 ![X0]: (in(X0,sk0_2)|~in(X0,the_carrier(sk0_1))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,X0)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,X0))),sk0_0,sk0_1)|~element(X0,the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,X0)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,X0)))))),
% 0.15/0.42 inference(destructive_equality_resolution,[status(esa)],[f88])).
% 0.15/0.42 fof(f316,plain,(
% 0.15/0.42 ![X0]: (in(X0,sk0_3)|~in(X0,the_carrier(sk0_1))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,X0)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,X0))),sk0_0,sk0_1)|~element(X0,the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,X0)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,X0)))))),
% 0.15/0.42 inference(destructive_equality_resolution,[status(esa)],[f95])).
% 0.15/0.42 fof(f317,plain,(
% 0.15/0.42 spl0_0 <=> topological_space(sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f319,plain,(
% 0.15/0.42 ~topological_space(sk0_0)|spl0_0),
% 0.15/0.42 inference(component_clause,[status(thm)],[f317])).
% 0.15/0.42 fof(f320,plain,(
% 0.15/0.42 spl0_1 <=> ~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|~nowhere_dense(X0,sk0_0)|empty(X0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f321,plain,(
% 0.15/0.42 ![X0]: (~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|~nowhere_dense(X0,sk0_0)|empty(X0)|~spl0_1)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f320])).
% 0.15/0.42 fof(f323,plain,(
% 0.15/0.42 ![X0]: (~topological_space(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|~nowhere_dense(X0,sk0_0)|empty(X0))),
% 0.15/0.42 inference(resolution,[status(thm)],[f158,f77])).
% 0.15/0.42 fof(f324,plain,(
% 0.15/0.42 ~spl0_0|spl0_1),
% 0.15/0.42 inference(split_clause,[status(thm)],[f323,f317,f320])).
% 0.15/0.42 fof(f325,plain,(
% 0.15/0.42 $false|spl0_0),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f319,f76])).
% 0.15/0.42 fof(f326,plain,(
% 0.15/0.42 spl0_0),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f325])).
% 0.15/0.42 fof(f328,plain,(
% 0.15/0.42 spl0_2 <=> element(sk0_10(sk0_0),powerset(the_carrier(sk0_0)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f330,plain,(
% 0.15/0.42 ~element(sk0_10(sk0_0),powerset(the_carrier(sk0_0)))|spl0_2),
% 0.15/0.42 inference(component_clause,[status(thm)],[f328])).
% 0.15/0.42 fof(f331,plain,(
% 0.15/0.42 spl0_3 <=> open_subset(sk0_10(sk0_0),sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f333,plain,(
% 0.15/0.42 ~open_subset(sk0_10(sk0_0),sk0_0)|spl0_3),
% 0.15/0.42 inference(component_clause,[status(thm)],[f331])).
% 0.15/0.42 fof(f334,plain,(
% 0.15/0.42 spl0_4 <=> empty(sk0_10(sk0_0))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f337,plain,(
% 0.15/0.42 spl0_5 <=> top_str(sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f339,plain,(
% 0.15/0.42 ~top_str(sk0_0)|spl0_5),
% 0.15/0.42 inference(component_clause,[status(thm)],[f337])).
% 0.15/0.42 fof(f340,plain,(
% 0.15/0.42 ~element(sk0_10(sk0_0),powerset(the_carrier(sk0_0)))|~open_subset(sk0_10(sk0_0),sk0_0)|empty(sk0_10(sk0_0))|~topological_space(sk0_0)|~top_str(sk0_0)|~spl0_1),
% 0.15/0.42 inference(resolution,[status(thm)],[f321,f119])).
% 0.15/0.42 fof(f341,plain,(
% 0.15/0.42 ~spl0_2|~spl0_3|spl0_4|~spl0_0|~spl0_5|~spl0_1),
% 0.15/0.42 inference(split_clause,[status(thm)],[f340,f328,f331,f334,f317,f337,f320])).
% 0.15/0.42 fof(f342,plain,(
% 0.15/0.42 spl0_6 <=> ~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~element(X0,powerset(the_carrier(sk0_0)))|~closed_subset(X0,sk0_0)|~boundary_set(X0,sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f343,plain,(
% 0.15/0.42 ![X0]: (~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~element(X0,powerset(the_carrier(sk0_0)))|~closed_subset(X0,sk0_0)|~boundary_set(X0,sk0_0)|~spl0_6)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f342])).
% 0.15/0.42 fof(f345,plain,(
% 0.15/0.42 ![X0]: (~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|~closed_subset(X0,sk0_0)|~boundary_set(X0,sk0_0)|~spl0_1)),
% 0.15/0.42 inference(resolution,[status(thm)],[f321,f156])).
% 0.15/0.42 fof(f346,plain,(
% 0.15/0.42 spl0_6|~spl0_0|~spl0_5|~spl0_1),
% 0.15/0.42 inference(split_clause,[status(thm)],[f345,f342,f317,f337,f320])).
% 0.15/0.42 fof(f347,plain,(
% 0.15/0.42 spl0_7 <=> ~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~element(X0,powerset(the_carrier(sk0_0)))|~empty(X0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f350,plain,(
% 0.15/0.42 ![X0]: (~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|~empty(X0)|~spl0_1)),
% 0.15/0.42 inference(resolution,[status(thm)],[f321,f217])).
% 0.15/0.42 fof(f351,plain,(
% 0.15/0.42 spl0_7|~spl0_0|~spl0_5|~spl0_1),
% 0.15/0.42 inference(split_clause,[status(thm)],[f350,f347,f317,f337,f320])).
% 0.15/0.42 fof(f352,plain,(
% 0.15/0.42 $false|spl0_5),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f339,f77])).
% 0.15/0.42 fof(f353,plain,(
% 0.15/0.42 spl0_5),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f352])).
% 0.15/0.42 fof(f354,plain,(
% 0.15/0.42 ![X0]: (~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~closed_subset(X0,sk0_0)|~boundary_set(X0,sk0_0)|~spl0_6)),
% 0.15/0.42 inference(duplicate_literals_removal,[status(esa)],[f343])).
% 0.15/0.42 fof(f355,plain,(
% 0.15/0.42 ~topological_space(sk0_0)|~top_str(sk0_0)|spl0_3),
% 0.15/0.42 inference(resolution,[status(thm)],[f333,f111])).
% 0.15/0.42 fof(f356,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|spl0_3),
% 0.15/0.42 inference(split_clause,[status(thm)],[f355,f317,f337,f331])).
% 0.15/0.42 fof(f359,plain,(
% 0.15/0.42 ~topological_space(sk0_0)|~top_str(sk0_0)|spl0_2),
% 0.15/0.42 inference(resolution,[status(thm)],[f330,f109])).
% 0.15/0.42 fof(f360,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|spl0_2),
% 0.15/0.42 inference(split_clause,[status(thm)],[f359,f317,f337,f328])).
% 0.15/0.42 fof(f361,plain,(
% 0.15/0.42 spl0_8 <=> empty_carrier(sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f362,plain,(
% 0.15/0.42 empty_carrier(sk0_0)|~spl0_8),
% 0.15/0.42 inference(component_clause,[status(thm)],[f361])).
% 0.15/0.42 fof(f364,plain,(
% 0.15/0.42 spl0_9 <=> one_sorted_str(sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f366,plain,(
% 0.15/0.42 ~one_sorted_str(sk0_0)|spl0_9),
% 0.15/0.42 inference(component_clause,[status(thm)],[f364])).
% 0.15/0.42 fof(f372,plain,(
% 0.15/0.42 spl0_11 <=> closed_subset(sk0_10(sk0_0),sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f374,plain,(
% 0.15/0.42 ~closed_subset(sk0_10(sk0_0),sk0_0)|spl0_11),
% 0.15/0.42 inference(component_clause,[status(thm)],[f372])).
% 0.15/0.42 fof(f377,plain,(
% 0.15/0.42 spl0_12 <=> element(sk0_9(sk0_0),powerset(the_carrier(sk0_0)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f379,plain,(
% 0.15/0.42 ~element(sk0_9(sk0_0),powerset(the_carrier(sk0_0)))|spl0_12),
% 0.15/0.42 inference(component_clause,[status(thm)],[f377])).
% 0.15/0.42 fof(f380,plain,(
% 0.15/0.42 spl0_13 <=> open_subset(sk0_9(sk0_0),sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f382,plain,(
% 0.15/0.42 ~open_subset(sk0_9(sk0_0),sk0_0)|spl0_13),
% 0.15/0.42 inference(component_clause,[status(thm)],[f380])).
% 0.15/0.42 fof(f383,plain,(
% 0.15/0.42 spl0_14 <=> empty(sk0_9(sk0_0))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f385,plain,(
% 0.15/0.42 ~empty(sk0_9(sk0_0))|spl0_14),
% 0.15/0.42 inference(component_clause,[status(thm)],[f383])).
% 0.15/0.42 fof(f386,plain,(
% 0.15/0.42 spl0_15 <=> closed_subset(sk0_9(sk0_0),sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f388,plain,(
% 0.15/0.42 ~closed_subset(sk0_9(sk0_0),sk0_0)|spl0_15),
% 0.15/0.42 inference(component_clause,[status(thm)],[f386])).
% 0.15/0.42 fof(f391,plain,(
% 0.15/0.42 spl0_16 <=> ~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~closed_subset(X0,sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|~nowhere_dense(X0,sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f394,plain,(
% 0.15/0.42 ![X0]: (~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~closed_subset(X0,sk0_0)|~topological_space(sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|~nowhere_dense(X0,sk0_0)|~spl0_6)),
% 0.15/0.42 inference(resolution,[status(thm)],[f354,f153])).
% 0.15/0.42 fof(f395,plain,(
% 0.15/0.42 spl0_16|~spl0_0|~spl0_5|~spl0_6),
% 0.15/0.42 inference(split_clause,[status(thm)],[f394,f391,f317,f337,f342])).
% 0.15/0.42 fof(f396,plain,(
% 0.15/0.42 spl0_17 <=> ~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~closed_subset(X0,sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|~empty(X0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f399,plain,(
% 0.15/0.42 ![X0]: (~element(X0,powerset(the_carrier(sk0_0)))|~open_subset(X0,sk0_0)|empty(X0)|~closed_subset(X0,sk0_0)|~top_str(sk0_0)|~element(X0,powerset(the_carrier(sk0_0)))|~empty(X0)|~spl0_6)),
% 0.15/0.42 inference(resolution,[status(thm)],[f354,f215])).
% 0.15/0.42 fof(f400,plain,(
% 0.15/0.42 spl0_17|~spl0_5|~spl0_6),
% 0.15/0.42 inference(split_clause,[status(thm)],[f399,f396,f337,f342])).
% 0.15/0.42 fof(f401,plain,(
% 0.15/0.42 spl0_18 <=> nowhere_dense(sk0_9(sk0_0),sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f403,plain,(
% 0.15/0.42 ~nowhere_dense(sk0_9(sk0_0),sk0_0)|spl0_18),
% 0.15/0.42 inference(component_clause,[status(thm)],[f401])).
% 0.15/0.42 fof(f406,plain,(
% 0.15/0.42 ~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_9(sk0_0),powerset(the_carrier(sk0_0)))|~empty(sk0_9(sk0_0))|spl0_15),
% 0.15/0.42 inference(resolution,[status(thm)],[f388,f213])).
% 0.15/0.42 fof(f407,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|~spl0_12|~spl0_14|spl0_15),
% 0.15/0.42 inference(split_clause,[status(thm)],[f406,f317,f337,f377,f383,f386])).
% 0.15/0.42 fof(f409,plain,(
% 0.15/0.42 ~top_str(sk0_0)|spl0_9),
% 0.15/0.42 inference(resolution,[status(thm)],[f366,f301])).
% 0.15/0.42 fof(f410,plain,(
% 0.15/0.42 ~spl0_5|spl0_9),
% 0.15/0.42 inference(split_clause,[status(thm)],[f409,f337,f364])).
% 0.15/0.42 fof(f411,plain,(
% 0.15/0.42 ~topological_space(sk0_0)|~top_str(sk0_0)|spl0_11),
% 0.15/0.42 inference(resolution,[status(thm)],[f374,f112])).
% 0.15/0.42 fof(f412,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|spl0_11),
% 0.15/0.42 inference(split_clause,[status(thm)],[f411,f317,f337,f372])).
% 0.15/0.42 fof(f420,plain,(
% 0.15/0.42 spl0_20 <=> boundary_set(sk0_9(sk0_0),sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f422,plain,(
% 0.15/0.42 ~boundary_set(sk0_9(sk0_0),sk0_0)|spl0_20),
% 0.15/0.42 inference(component_clause,[status(thm)],[f420])).
% 0.15/0.42 fof(f423,plain,(
% 0.15/0.42 ~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_9(sk0_0),powerset(the_carrier(sk0_0)))|~closed_subset(sk0_9(sk0_0),sk0_0)|~boundary_set(sk0_9(sk0_0),sk0_0)|spl0_18),
% 0.15/0.42 inference(resolution,[status(thm)],[f403,f156])).
% 0.15/0.42 fof(f424,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|~spl0_12|~spl0_15|~spl0_20|spl0_18),
% 0.15/0.42 inference(split_clause,[status(thm)],[f423,f317,f337,f377,f386,f420,f401])).
% 0.15/0.42 fof(f427,plain,(
% 0.15/0.42 ~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_9(sk0_0),powerset(the_carrier(sk0_0)))|~empty(sk0_9(sk0_0))|spl0_13),
% 0.15/0.42 inference(resolution,[status(thm)],[f382,f212])).
% 0.15/0.42 fof(f428,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|~spl0_12|~spl0_14|spl0_13),
% 0.15/0.42 inference(split_clause,[status(thm)],[f427,f317,f337,f377,f383,f380])).
% 0.15/0.42 fof(f429,plain,(
% 0.15/0.42 ~top_str(sk0_0)|spl0_20),
% 0.15/0.42 inference(resolution,[status(thm)],[f422,f106])).
% 0.15/0.42 fof(f430,plain,(
% 0.15/0.42 ~spl0_5|spl0_20),
% 0.15/0.42 inference(split_clause,[status(thm)],[f429,f337,f420])).
% 0.15/0.42 fof(f437,plain,(
% 0.15/0.42 ~top_str(sk0_0)|spl0_12),
% 0.15/0.42 inference(resolution,[status(thm)],[f379,f99])).
% 0.15/0.42 fof(f438,plain,(
% 0.15/0.42 ~spl0_5|spl0_12),
% 0.15/0.42 inference(split_clause,[status(thm)],[f437,f337,f377])).
% 0.15/0.42 fof(f444,plain,(
% 0.15/0.42 ~top_str(sk0_0)|spl0_14),
% 0.15/0.42 inference(resolution,[status(thm)],[f385,f100])).
% 0.15/0.42 fof(f445,plain,(
% 0.15/0.42 ~spl0_5|spl0_14),
% 0.15/0.42 inference(split_clause,[status(thm)],[f444,f337,f383])).
% 0.15/0.42 fof(f448,plain,(
% 0.15/0.42 ![X0]: (~rel_str(X0)|relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 0.15/0.42 inference(resolution,[status(thm)],[f186,f241])).
% 0.15/0.42 fof(f449,plain,(
% 0.15/0.42 ![X0,X1]: (relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))|~one_sorted_str(X1)|~net_str(X0,X1))),
% 0.15/0.42 inference(resolution,[status(thm)],[f448,f303])).
% 0.15/0.42 fof(f450,plain,(
% 0.15/0.42 ![X0]: (in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|sk0_7(sk0_29(X0,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(X0,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(X0,sk0_3))))))),
% 0.15/0.42 inference(resolution,[status(thm)],[f313,f94])).
% 0.15/0.42 fof(f451,plain,(
% 0.15/0.42 ![X0]: (in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|sk0_4=topstr_closure(sk0_0,sk0_7(sk0_29(X0,sk0_3))))),
% 0.15/0.42 inference(resolution,[status(thm)],[f313,f92])).
% 0.15/0.42 fof(f453,plain,(
% 0.15/0.42 ![X0]: (in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|sk0_29(X0,sk0_3)=sk0_8(sk0_29(X0,sk0_3)))),
% 0.15/0.42 inference(resolution,[status(thm)],[f313,f93])).
% 0.15/0.42 fof(f455,plain,(
% 0.15/0.42 ![X0]: (in(sk0_29(X0,sk0_2),X0)|sk0_2=X0|sk0_4=topstr_closure(sk0_0,sk0_5(sk0_29(X0,sk0_2))))),
% 0.15/0.42 inference(resolution,[status(thm)],[f313,f85])).
% 0.15/0.42 fof(f462,plain,(
% 0.15/0.42 ![X0]: (in(sk0_8(sk0_29(X0,sk0_3)),sk0_2)|~in(sk0_8(sk0_29(X0,sk0_3)),the_carrier(sk0_1))|~netstr_induced_subset(sk0_7(sk0_29(X0,sk0_3)),sk0_0,sk0_1)|~element(sk0_8(sk0_29(X0,sk0_3)),the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(X0,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(X0,sk0_3))))))|in(sk0_29(X0,sk0_3),X0)|sk0_3=X0)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f450,f315])).
% 0.15/0.42 fof(f464,plain,(
% 0.15/0.42 spl0_22 <=> sk0_3=sk0_3),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f487,plain,(
% 0.15/0.42 spl0_27 <=> sk0_3=sk0_2),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f488,plain,(
% 0.15/0.42 sk0_3=sk0_2|~spl0_27),
% 0.15/0.42 inference(component_clause,[status(thm)],[f487])).
% 0.15/0.42 fof(f490,plain,(
% 0.15/0.42 spl0_28 <=> sk0_29(sk0_2,sk0_3)=sk0_8(sk0_29(sk0_2,sk0_3))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f491,plain,(
% 0.15/0.42 sk0_29(sk0_2,sk0_3)=sk0_8(sk0_29(sk0_2,sk0_3))|~spl0_28),
% 0.15/0.42 inference(component_clause,[status(thm)],[f490])).
% 0.15/0.42 fof(f493,plain,(
% 0.15/0.42 spl0_29 <=> sk0_5(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_6(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_6(sk0_29(sk0_2,sk0_3)))))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f498,plain,(
% 0.15/0.42 spl0_30 <=> sk0_4=topstr_closure(sk0_0,sk0_5(sk0_29(sk0_2,sk0_3)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f503,plain,(
% 0.15/0.42 spl0_31 <=> in(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f505,plain,(
% 0.15/0.42 ~in(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|spl0_31),
% 0.15/0.42 inference(component_clause,[status(thm)],[f503])).
% 0.15/0.42 fof(f506,plain,(
% 0.15/0.42 sk0_3=sk0_2|sk0_29(sk0_2,sk0_3)=sk0_8(sk0_29(sk0_2,sk0_3))|in(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))),
% 0.15/0.42 inference(resolution,[status(thm)],[f453,f82])).
% 0.15/0.42 fof(f507,plain,(
% 0.15/0.42 spl0_27|spl0_28|spl0_31),
% 0.15/0.42 inference(split_clause,[status(thm)],[f506,f487,f490,f503])).
% 0.15/0.42 fof(f508,plain,(
% 0.15/0.42 spl0_32 <=> sk0_29(sk0_2,sk0_3)=sk0_6(sk0_29(sk0_2,sk0_3))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f516,plain,(
% 0.15/0.42 spl0_33 <=> ~element(sk0_7(sk0_29(X0,sk0_3)),powerset(the_carrier(sk0_0)))|in(sk0_29(X0,sk0_3),X0)|sk0_3=X0),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f517,plain,(
% 0.15/0.42 ![X0]: (~element(sk0_7(sk0_29(X0,sk0_3)),powerset(the_carrier(sk0_0)))|in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|~spl0_33)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f516])).
% 0.15/0.42 fof(f519,plain,(
% 0.15/0.42 spl0_34 <=> element(sk0_4,powerset(the_carrier(sk0_0)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f522,plain,(
% 0.15/0.42 ![X0]: (~top_str(sk0_0)|~element(sk0_7(sk0_29(X0,sk0_3)),powerset(the_carrier(sk0_0)))|element(sk0_4,powerset(the_carrier(sk0_0)))|in(sk0_29(X0,sk0_3),X0)|sk0_3=X0)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f451,f296])).
% 0.15/0.42 fof(f523,plain,(
% 0.15/0.42 ~spl0_5|spl0_33|spl0_34),
% 0.15/0.42 inference(split_clause,[status(thm)],[f522,f337,f516,f519])).
% 0.15/0.42 fof(f524,plain,(
% 0.15/0.42 spl0_35 <=> closed_subset(sk0_4,sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f527,plain,(
% 0.15/0.42 ![X0]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_7(sk0_29(X0,sk0_3)),powerset(the_carrier(sk0_0)))|closed_subset(sk0_4,sk0_0)|in(sk0_29(X0,sk0_3),X0)|sk0_3=X0)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f451,f262])).
% 0.15/0.42 fof(f528,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|spl0_33|spl0_35),
% 0.15/0.42 inference(split_clause,[status(thm)],[f527,f317,f337,f516,f524])).
% 0.15/0.42 fof(f530,plain,(
% 0.15/0.42 spl0_36 <=> ~element(sk0_5(sk0_29(X0,sk0_2)),powerset(the_carrier(sk0_0)))|in(sk0_29(X0,sk0_2),X0)|sk0_2=X0),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f533,plain,(
% 0.15/0.42 ![X0]: (~top_str(sk0_0)|~element(sk0_5(sk0_29(X0,sk0_2)),powerset(the_carrier(sk0_0)))|element(sk0_4,powerset(the_carrier(sk0_0)))|in(sk0_29(X0,sk0_2),X0)|sk0_2=X0)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f455,f296])).
% 0.15/0.42 fof(f534,plain,(
% 0.15/0.42 ~spl0_5|spl0_36|spl0_34),
% 0.15/0.42 inference(split_clause,[status(thm)],[f533,f337,f530,f519])).
% 0.15/0.42 fof(f535,plain,(
% 0.15/0.42 ![X0]: (~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_5(sk0_29(X0,sk0_2)),powerset(the_carrier(sk0_0)))|closed_subset(sk0_4,sk0_0)|in(sk0_29(X0,sk0_2),X0)|sk0_2=X0)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f455,f262])).
% 0.15/0.42 fof(f536,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|spl0_36|spl0_35),
% 0.15/0.42 inference(split_clause,[status(thm)],[f535,f317,f337,f530,f524])).
% 0.15/0.42 fof(f554,plain,(
% 0.15/0.42 ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|relation_rng_as_subset(the_carrier(X1),the_carrier(X1),the_InternalRel(X1))=relation_rng(the_InternalRel(X1)))),
% 0.15/0.42 inference(resolution,[status(thm)],[f449,f290])).
% 0.15/0.42 fof(f562,plain,(
% 0.15/0.42 spl0_38 <=> relation_rng_as_subset(the_carrier(sk0_1),the_carrier(sk0_1),the_InternalRel(sk0_1))=relation_rng(the_InternalRel(sk0_1))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f563,plain,(
% 0.15/0.42 relation_rng_as_subset(the_carrier(sk0_1),the_carrier(sk0_1),the_InternalRel(sk0_1))=relation_rng(the_InternalRel(sk0_1))|~spl0_38),
% 0.15/0.42 inference(component_clause,[status(thm)],[f562])).
% 0.15/0.42 fof(f565,plain,(
% 0.15/0.42 ~one_sorted_str(sk0_0)|relation_rng_as_subset(the_carrier(sk0_1),the_carrier(sk0_1),the_InternalRel(sk0_1))=relation_rng(the_InternalRel(sk0_1))),
% 0.15/0.42 inference(resolution,[status(thm)],[f554,f81])).
% 0.15/0.42 fof(f566,plain,(
% 0.15/0.42 ~spl0_9|spl0_38),
% 0.15/0.42 inference(split_clause,[status(thm)],[f565,f364,f562])).
% 0.15/0.42 fof(f576,plain,(
% 0.15/0.42 spl0_39 <=> in(sk0_8(sk0_29(sk0_2,sk0_3)),sk0_2)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f577,plain,(
% 0.15/0.42 in(sk0_8(sk0_29(sk0_2,sk0_3)),sk0_2)|~spl0_39),
% 0.15/0.42 inference(component_clause,[status(thm)],[f576])).
% 0.15/0.42 fof(f579,plain,(
% 0.15/0.42 spl0_40 <=> netstr_induced_subset(sk0_7(sk0_29(sk0_2,sk0_3)),sk0_0,sk0_1)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f581,plain,(
% 0.15/0.42 ~netstr_induced_subset(sk0_7(sk0_29(sk0_2,sk0_3)),sk0_0,sk0_1)|spl0_40),
% 0.15/0.42 inference(component_clause,[status(thm)],[f579])).
% 0.15/0.42 fof(f582,plain,(
% 0.15/0.42 spl0_41 <=> element(sk0_8(sk0_29(sk0_2,sk0_3)),the_carrier(sk0_1))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f584,plain,(
% 0.15/0.42 ~element(sk0_8(sk0_29(sk0_2,sk0_3)),the_carrier(sk0_1))|spl0_41),
% 0.15/0.42 inference(component_clause,[status(thm)],[f582])).
% 0.15/0.42 fof(f585,plain,(
% 0.15/0.42 spl0_42 <=> sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3))))))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f587,plain,(
% 0.15/0.42 ~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3))))))|spl0_42),
% 0.15/0.42 inference(component_clause,[status(thm)],[f585])).
% 0.15/0.42 fof(f588,plain,(
% 0.15/0.42 spl0_43 <=> in(sk0_29(sk0_2,sk0_3),sk0_2)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f589,plain,(
% 0.15/0.42 in(sk0_29(sk0_2,sk0_3),sk0_2)|~spl0_43),
% 0.15/0.42 inference(component_clause,[status(thm)],[f588])).
% 0.15/0.42 fof(f590,plain,(
% 0.15/0.42 ~in(sk0_29(sk0_2,sk0_3),sk0_2)|spl0_43),
% 0.15/0.42 inference(component_clause,[status(thm)],[f588])).
% 0.15/0.42 fof(f591,plain,(
% 0.15/0.42 in(sk0_8(sk0_29(sk0_2,sk0_3)),sk0_2)|~in(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~netstr_induced_subset(sk0_7(sk0_29(sk0_2,sk0_3)),sk0_0,sk0_1)|~element(sk0_8(sk0_29(sk0_2,sk0_3)),the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3))))))|in(sk0_29(sk0_2,sk0_3),sk0_2)|sk0_3=sk0_2|~spl0_28),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f491,f462])).
% 0.15/0.42 fof(f592,plain,(
% 0.15/0.42 spl0_39|~spl0_31|~spl0_40|~spl0_41|~spl0_42|spl0_43|spl0_27|~spl0_28),
% 0.15/0.42 inference(split_clause,[status(thm)],[f591,f576,f503,f579,f582,f585,f588,f487,f490])).
% 0.15/0.42 fof(f598,plain,(
% 0.15/0.42 spl0_45 <=> sk0_7(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f599,plain,(
% 0.15/0.42 sk0_7(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))))|~spl0_45),
% 0.15/0.42 inference(component_clause,[status(thm)],[f598])).
% 0.15/0.42 fof(f601,plain,(
% 0.15/0.42 in(sk0_29(sk0_2,sk0_3),sk0_2)|sk0_3=sk0_2|sk0_7(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))))|~spl0_28),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f491,f450])).
% 0.15/0.42 fof(f602,plain,(
% 0.15/0.42 spl0_43|spl0_27|spl0_45|~spl0_28),
% 0.15/0.42 inference(split_clause,[status(thm)],[f601,f588,f487,f598,f490])).
% 0.15/0.42 fof(f608,plain,(
% 0.15/0.42 spl0_47 <=> in(sk0_29(sk0_2,sk0_3),sk0_3)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f609,plain,(
% 0.15/0.42 in(sk0_29(sk0_2,sk0_3),sk0_3)|~spl0_47),
% 0.15/0.42 inference(component_clause,[status(thm)],[f608])).
% 0.15/0.42 fof(f610,plain,(
% 0.15/0.42 ~in(sk0_29(sk0_2,sk0_3),sk0_3)|spl0_47),
% 0.15/0.42 inference(component_clause,[status(thm)],[f608])).
% 0.15/0.42 fof(f611,plain,(
% 0.15/0.42 spl0_48 <=> element(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f612,plain,(
% 0.15/0.42 element(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~spl0_48),
% 0.15/0.42 inference(component_clause,[status(thm)],[f611])).
% 0.15/0.42 fof(f614,plain,(
% 0.15/0.42 ~in(sk0_29(sk0_2,sk0_3),sk0_3)|element(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~spl0_28),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f491,f91])).
% 0.15/0.42 fof(f615,plain,(
% 0.15/0.42 ~spl0_47|spl0_48|~spl0_28),
% 0.15/0.42 inference(split_clause,[status(thm)],[f614,f608,f611,f490])).
% 0.15/0.42 fof(f616,plain,(
% 0.15/0.42 $false|~spl0_27),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f488,f96])).
% 0.15/0.42 fof(f617,plain,(
% 0.15/0.42 ~spl0_27),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f616])).
% 0.15/0.42 fof(f618,plain,(
% 0.15/0.42 in(sk0_29(sk0_2,sk0_3),sk0_2)|sk0_3=sk0_2|spl0_47),
% 0.15/0.42 inference(resolution,[status(thm)],[f610,f313])).
% 0.15/0.42 fof(f619,plain,(
% 0.15/0.42 spl0_43|spl0_27|spl0_47),
% 0.15/0.42 inference(split_clause,[status(thm)],[f618,f588,f487,f608])).
% 0.15/0.42 fof(f620,plain,(
% 0.15/0.42 sk0_5(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_6(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_6(sk0_29(sk0_2,sk0_3)))))|~spl0_43),
% 0.15/0.42 inference(resolution,[status(thm)],[f589,f87])).
% 0.15/0.42 fof(f621,plain,(
% 0.15/0.42 sk0_4=topstr_closure(sk0_0,sk0_5(sk0_29(sk0_2,sk0_3)))|~spl0_43),
% 0.15/0.42 inference(resolution,[status(thm)],[f589,f85])).
% 0.15/0.42 fof(f622,plain,(
% 0.15/0.42 in(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~spl0_43),
% 0.15/0.42 inference(resolution,[status(thm)],[f589,f82])).
% 0.15/0.42 fof(f623,plain,(
% 0.15/0.42 sk0_29(sk0_2,sk0_3)=sk0_6(sk0_29(sk0_2,sk0_3))|~spl0_43),
% 0.15/0.42 inference(resolution,[status(thm)],[f589,f86])).
% 0.15/0.42 fof(f625,plain,(
% 0.15/0.42 sk0_5(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_6(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))))|~spl0_43),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f623,f620])).
% 0.15/0.42 fof(f626,plain,(
% 0.15/0.42 sk0_5(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))))|~spl0_43),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f623,f625])).
% 0.15/0.42 fof(f627,plain,(
% 0.15/0.42 spl0_49 <=> in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|empty_carrier(X1)|~net_str(X1,sk0_0)|~netstr_induced_subset(sk0_7(sk0_29(X0,sk0_3)),sk0_0,X1)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f628,plain,(
% 0.15/0.42 ![X0,X1]: (in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|empty_carrier(X1)|~net_str(X1,sk0_0)|~netstr_induced_subset(sk0_7(sk0_29(X0,sk0_3)),sk0_0,X1)|~spl0_49)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f627])).
% 0.15/0.42 fof(f630,plain,(
% 0.15/0.42 ![X0,X1]: (in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|empty_carrier(sk0_0)|~one_sorted_str(sk0_0)|empty_carrier(X1)|~net_str(X1,sk0_0)|~netstr_induced_subset(sk0_7(sk0_29(X0,sk0_3)),sk0_0,X1)|~spl0_33)),
% 0.15/0.42 inference(resolution,[status(thm)],[f517,f305])).
% 0.15/0.42 fof(f631,plain,(
% 0.15/0.42 spl0_49|spl0_8|~spl0_9|~spl0_33),
% 0.15/0.42 inference(split_clause,[status(thm)],[f630,f627,f361,f364,f516])).
% 0.15/0.42 fof(f632,plain,(
% 0.15/0.42 ~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_8(sk0_29(sk0_2,sk0_3))))))|~spl0_28|spl0_42),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f491,f587])).
% 0.15/0.42 fof(f633,plain,(
% 0.15/0.42 ~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3)))))|~spl0_28|spl0_42),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f491,f632])).
% 0.15/0.42 fof(f638,plain,(
% 0.15/0.42 ~element(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~spl0_28|spl0_41),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f491,f584])).
% 0.15/0.42 fof(f639,plain,(
% 0.15/0.42 $false|~spl0_48|~spl0_28|spl0_41),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f638,f612])).
% 0.15/0.42 fof(f640,plain,(
% 0.15/0.42 ~spl0_48|~spl0_28|spl0_41),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f639])).
% 0.15/0.42 fof(f641,plain,(
% 0.15/0.42 $false|~spl0_8),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f362,f75])).
% 0.15/0.42 fof(f642,plain,(
% 0.15/0.42 ~spl0_8),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f641])).
% 0.15/0.42 fof(f660,plain,(
% 0.15/0.42 spl0_50 <=> element(sk0_5(sk0_29(sk0_2,sk0_3)),powerset(the_carrier(sk0_0)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f663,plain,(
% 0.15/0.42 ~top_str(sk0_0)|~element(sk0_5(sk0_29(sk0_2,sk0_3)),powerset(the_carrier(sk0_0)))|element(sk0_4,powerset(the_carrier(sk0_0)))|~spl0_43),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f621,f296])).
% 0.15/0.42 fof(f664,plain,(
% 0.15/0.42 ~spl0_5|~spl0_50|spl0_34|~spl0_43),
% 0.15/0.42 inference(split_clause,[status(thm)],[f663,f337,f660,f519,f588])).
% 0.15/0.42 fof(f665,plain,(
% 0.15/0.42 ~topological_space(sk0_0)|~top_str(sk0_0)|~element(sk0_5(sk0_29(sk0_2,sk0_3)),powerset(the_carrier(sk0_0)))|closed_subset(sk0_4,sk0_0)|~spl0_43),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f621,f262])).
% 0.15/0.42 fof(f666,plain,(
% 0.15/0.42 ~spl0_0|~spl0_5|~spl0_50|spl0_35|~spl0_43),
% 0.15/0.42 inference(split_clause,[status(thm)],[f665,f317,f337,f660,f524,f588])).
% 0.15/0.42 fof(f667,plain,(
% 0.15/0.42 ~in(sk0_29(sk0_2,sk0_3),sk0_2)|element(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~spl0_43),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f623,f84])).
% 0.15/0.42 fof(f668,plain,(
% 0.15/0.42 ~spl0_43|spl0_48),
% 0.15/0.42 inference(split_clause,[status(thm)],[f667,f588,f611])).
% 0.15/0.42 fof(f669,plain,(
% 0.15/0.42 spl0_51 <=> relation_of2(the_InternalRel(sk0_1),the_carrier(sk0_1),the_carrier(sk0_1))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f671,plain,(
% 0.15/0.42 ~relation_of2(the_InternalRel(sk0_1),the_carrier(sk0_1),the_carrier(sk0_1))|spl0_51),
% 0.15/0.42 inference(component_clause,[status(thm)],[f669])).
% 0.15/0.42 fof(f672,plain,(
% 0.15/0.42 spl0_52 <=> element(relation_rng(the_InternalRel(sk0_1)),powerset(the_carrier(sk0_1)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f675,plain,(
% 0.15/0.42 ~relation_of2(the_InternalRel(sk0_1),the_carrier(sk0_1),the_carrier(sk0_1))|element(relation_rng(the_InternalRel(sk0_1)),powerset(the_carrier(sk0_1)))|~spl0_38),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f563,f294])).
% 0.15/0.42 fof(f676,plain,(
% 0.15/0.42 ~spl0_51|spl0_52|~spl0_38),
% 0.15/0.42 inference(split_clause,[status(thm)],[f675,f669,f672,f562])).
% 0.15/0.42 fof(f677,plain,(
% 0.15/0.42 spl0_53 <=> in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|~in(sk0_29(X0,sk0_3),sk0_3)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f678,plain,(
% 0.15/0.42 ![X0]: (in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|~in(sk0_29(X0,sk0_3),sk0_3)|~spl0_53)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f677])).
% 0.15/0.42 fof(f680,plain,(
% 0.15/0.42 spl0_54 <=> empty_carrier(sk0_1)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f681,plain,(
% 0.15/0.42 empty_carrier(sk0_1)|~spl0_54),
% 0.15/0.42 inference(component_clause,[status(thm)],[f680])).
% 0.15/0.42 fof(f683,plain,(
% 0.15/0.42 spl0_55 <=> net_str(sk0_1,sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f685,plain,(
% 0.15/0.42 ~net_str(sk0_1,sk0_0)|spl0_55),
% 0.15/0.42 inference(component_clause,[status(thm)],[f683])).
% 0.15/0.42 fof(f686,plain,(
% 0.15/0.42 ![X0]: (in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|empty_carrier(sk0_1)|~net_str(sk0_1,sk0_0)|~in(sk0_29(X0,sk0_3),sk0_3)|~spl0_49)),
% 0.15/0.42 inference(resolution,[status(thm)],[f628,f90])).
% 0.15/0.42 fof(f687,plain,(
% 0.15/0.42 spl0_53|spl0_54|~spl0_55|~spl0_49),
% 0.15/0.42 inference(split_clause,[status(thm)],[f686,f677,f680,f683,f627])).
% 0.15/0.42 fof(f688,plain,(
% 0.15/0.42 $false|spl0_55),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f685,f81])).
% 0.15/0.42 fof(f689,plain,(
% 0.15/0.42 spl0_55),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f688])).
% 0.15/0.42 fof(f690,plain,(
% 0.15/0.42 $false|~spl0_54),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f681,f78])).
% 0.15/0.42 fof(f691,plain,(
% 0.15/0.42 ~spl0_54),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f690])).
% 0.15/0.42 fof(f692,plain,(
% 0.15/0.42 ![X0]: (sk0_3=X0|~in(sk0_29(X0,sk0_3),sk0_3)|~spl0_53)),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f678,f314])).
% 0.15/0.42 fof(f693,plain,(
% 0.15/0.42 spl0_56 <=> netstr_induced_subset(sk0_5(sk0_29(sk0_2,sk0_3)),sk0_0,sk0_1)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f695,plain,(
% 0.15/0.42 ~netstr_induced_subset(sk0_5(sk0_29(sk0_2,sk0_3)),sk0_0,sk0_1)|spl0_56),
% 0.15/0.42 inference(component_clause,[status(thm)],[f693])).
% 0.15/0.42 fof(f696,plain,(
% 0.15/0.42 spl0_57 <=> sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3)))))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f698,plain,(
% 0.15/0.42 ~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3)))))|spl0_57),
% 0.15/0.42 inference(component_clause,[status(thm)],[f696])).
% 0.15/0.42 fof(f699,plain,(
% 0.15/0.42 in(sk0_29(sk0_2,sk0_3),sk0_3)|~in(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~netstr_induced_subset(sk0_5(sk0_29(sk0_2,sk0_3)),sk0_0,sk0_1)|~element(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~sk0_4=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3)))))|~spl0_43),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f626,f316])).
% 0.15/0.42 fof(f700,plain,(
% 0.15/0.42 spl0_47|~spl0_31|~spl0_56|~spl0_48|~spl0_57|~spl0_43),
% 0.15/0.42 inference(split_clause,[status(thm)],[f699,f608,f503,f693,f611,f696,f588])).
% 0.15/0.42 fof(f703,plain,(
% 0.15/0.42 spl0_58 <=> relation_of2(the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f706,plain,(
% 0.15/0.42 ~relation_of2(the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0))|element(sk0_5(sk0_29(sk0_2,sk0_3)),powerset(the_carrier(sk0_0)))|~spl0_43),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f626,f294])).
% 0.15/0.42 fof(f707,plain,(
% 0.15/0.42 ~spl0_58|spl0_50|~spl0_43),
% 0.15/0.42 inference(split_clause,[status(thm)],[f706,f703,f660,f588])).
% 0.15/0.42 fof(f708,plain,(
% 0.15/0.42 ~sk0_4=topstr_closure(sk0_0,sk0_5(sk0_29(sk0_2,sk0_3)))|~spl0_43|spl0_57),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f626,f698])).
% 0.15/0.42 fof(f709,plain,(
% 0.15/0.42 ~sk0_4=sk0_4|~spl0_43|spl0_57),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f621,f708])).
% 0.15/0.42 fof(f710,plain,(
% 0.15/0.42 $false|~spl0_43|spl0_57),
% 0.15/0.42 inference(trivial_equality_resolution,[status(esa)],[f709])).
% 0.15/0.42 fof(f711,plain,(
% 0.15/0.42 ~spl0_43|spl0_57),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f710])).
% 0.15/0.42 fof(f715,plain,(
% 0.15/0.42 ![X0]: (sk0_3=X0|in(sk0_29(X0,sk0_3),X0)|sk0_3=X0|~spl0_53)),
% 0.15/0.42 inference(resolution,[status(thm)],[f692,f313])).
% 0.15/0.42 fof(f716,plain,(
% 0.15/0.42 ![X0]: (sk0_3=X0|in(sk0_29(X0,sk0_3),X0)|~spl0_53)),
% 0.15/0.42 inference(duplicate_literals_removal,[status(esa)],[f715])).
% 0.15/0.42 fof(f717,plain,(
% 0.15/0.42 sk0_3=sk0_3|sk0_3=sk0_3|~spl0_53),
% 0.15/0.42 inference(resolution,[status(thm)],[f716,f692])).
% 0.15/0.42 fof(f718,plain,(
% 0.15/0.42 spl0_22|~spl0_53),
% 0.15/0.42 inference(split_clause,[status(thm)],[f717,f464,f677])).
% 0.15/0.42 fof(f729,plain,(
% 0.15/0.42 sk0_3=sk0_2|sk0_5(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_6(sk0_29(sk0_2,sk0_3)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_6(sk0_29(sk0_2,sk0_3)))))|~spl0_53),
% 0.15/0.42 inference(resolution,[status(thm)],[f716,f87])).
% 0.15/0.42 fof(f730,plain,(
% 0.15/0.42 spl0_27|spl0_29|~spl0_53),
% 0.15/0.42 inference(split_clause,[status(thm)],[f729,f487,f493,f677])).
% 0.15/0.42 fof(f731,plain,(
% 0.15/0.42 sk0_3=sk0_2|sk0_4=topstr_closure(sk0_0,sk0_5(sk0_29(sk0_2,sk0_3)))|~spl0_53),
% 0.15/0.42 inference(resolution,[status(thm)],[f716,f85])).
% 0.15/0.42 fof(f732,plain,(
% 0.15/0.42 spl0_27|spl0_30|~spl0_53),
% 0.15/0.42 inference(split_clause,[status(thm)],[f731,f487,f498,f677])).
% 0.15/0.42 fof(f733,plain,(
% 0.15/0.42 sk0_3=sk0_2|in(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~spl0_53),
% 0.15/0.42 inference(resolution,[status(thm)],[f716,f82])).
% 0.15/0.42 fof(f734,plain,(
% 0.15/0.42 spl0_27|spl0_31|~spl0_53),
% 0.15/0.42 inference(split_clause,[status(thm)],[f733,f487,f503,f677])).
% 0.15/0.42 fof(f735,plain,(
% 0.15/0.42 sk0_3=sk0_2|sk0_29(sk0_2,sk0_3)=sk0_6(sk0_29(sk0_2,sk0_3))|~spl0_53),
% 0.15/0.42 inference(resolution,[status(thm)],[f716,f86])).
% 0.15/0.42 fof(f736,plain,(
% 0.15/0.42 spl0_27|spl0_32|~spl0_53),
% 0.15/0.42 inference(split_clause,[status(thm)],[f735,f487,f508,f677])).
% 0.15/0.42 fof(f738,plain,(
% 0.15/0.42 ![X0]: (~one_sorted_str(X0)|~net_str(sk0_1,X0)|spl0_51)),
% 0.15/0.42 inference(resolution,[status(thm)],[f671,f449])).
% 0.15/0.42 fof(f739,plain,(
% 0.15/0.42 ~one_sorted_str(sk0_0)|spl0_51),
% 0.15/0.42 inference(resolution,[status(thm)],[f738,f81])).
% 0.15/0.42 fof(f740,plain,(
% 0.15/0.42 ~spl0_9|spl0_51),
% 0.15/0.42 inference(split_clause,[status(thm)],[f739,f364,f669])).
% 0.15/0.42 fof(f741,plain,(
% 0.15/0.42 ~in(sk0_29(sk0_2,sk0_3),sk0_2)|spl0_56),
% 0.15/0.42 inference(resolution,[status(thm)],[f695,f83])).
% 0.15/0.42 fof(f742,plain,(
% 0.15/0.42 $false|~spl0_43|spl0_56),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f741,f589])).
% 0.15/0.42 fof(f743,plain,(
% 0.15/0.42 ~spl0_43|spl0_56),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f742])).
% 0.15/0.42 fof(f744,plain,(
% 0.15/0.42 $false|~spl0_43|spl0_31),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f505,f622])).
% 0.15/0.42 fof(f745,plain,(
% 0.15/0.42 ~spl0_43|spl0_31),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f744])).
% 0.15/0.42 fof(f746,plain,(
% 0.15/0.42 ~in(sk0_29(sk0_2,sk0_3),sk0_2)|sk0_3=sk0_2|~spl0_47),
% 0.15/0.42 inference(resolution,[status(thm)],[f609,f314])).
% 0.15/0.43 fof(f747,plain,(
% 0.15/0.43 ~spl0_43|spl0_27|~spl0_47),
% 0.15/0.43 inference(split_clause,[status(thm)],[f746,f588,f487,f608])).
% 0.15/0.43 fof(f752,plain,(
% 0.15/0.43 sk0_4=topstr_closure(sk0_0,sk0_7(sk0_29(sk0_2,sk0_3)))|~spl0_47),
% 0.15/0.43 inference(resolution,[status(thm)],[f609,f92])).
% 0.15/0.43 fof(f754,plain,(
% 0.15/0.43 sk0_29(sk0_2,sk0_3)=sk0_8(sk0_29(sk0_2,sk0_3))|~spl0_47),
% 0.15/0.43 inference(resolution,[status(thm)],[f609,f93])).
% 0.15/0.43 fof(f756,plain,(
% 0.15/0.43 sk0_7(sk0_29(sk0_2,sk0_3))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_29(sk0_2,sk0_3))))|~spl0_28|~spl0_45),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f491,f599])).
% 0.15/0.43 fof(f758,plain,(
% 0.15/0.43 in(sk0_29(sk0_2,sk0_3),the_carrier(sk0_1))|~spl0_47),
% 0.15/0.43 inference(resolution,[status(thm)],[f609,f89])).
% 0.15/0.43 fof(f762,plain,(
% 0.15/0.43 ~in(sk0_29(sk0_2,sk0_3),sk0_3)|spl0_40),
% 0.15/0.43 inference(resolution,[status(thm)],[f581,f90])).
% 0.15/0.43 fof(f763,plain,(
% 0.15/0.43 ~spl0_47|spl0_40),
% 0.15/0.43 inference(split_clause,[status(thm)],[f762,f608,f579])).
% 0.15/0.43 fof(f769,plain,(
% 0.15/0.43 in(sk0_29(sk0_2,sk0_3),sk0_2)|~spl0_28|~spl0_39),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f491,f577])).
% 0.15/0.43 fof(f770,plain,(
% 0.15/0.43 $false|spl0_43|~spl0_28|~spl0_39),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f769,f590])).
% 0.15/0.43 fof(f771,plain,(
% 0.15/0.43 spl0_43|~spl0_28|~spl0_39),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f770])).
% 0.15/0.43 fof(f772,plain,(
% 0.15/0.43 ~sk0_4=topstr_closure(sk0_0,sk0_7(sk0_29(sk0_2,sk0_3)))|~spl0_45|~spl0_28|spl0_42),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f756,f633])).
% 0.15/0.43 fof(f773,plain,(
% 0.15/0.43 ~sk0_4=sk0_4|~spl0_47|~spl0_45|~spl0_28|spl0_42),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f752,f772])).
% 0.15/0.43 fof(f774,plain,(
% 0.15/0.43 $false|~spl0_47|~spl0_45|~spl0_28|spl0_42),
% 0.15/0.43 inference(trivial_equality_resolution,[status(esa)],[f773])).
% 0.15/0.43 fof(f775,plain,(
% 0.15/0.43 ~spl0_47|~spl0_45|~spl0_28|spl0_42),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f774])).
% 0.15/0.43 fof(f777,plain,(
% 0.15/0.43 $false|~spl0_47|spl0_31),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f505,f758])).
% 0.15/0.43 fof(f778,plain,(
% 0.15/0.43 ~spl0_47|spl0_31),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f777])).
% 0.15/0.43 fof(f779,plain,(
% 0.15/0.43 spl0_28|~spl0_47),
% 0.15/0.43 inference(split_clause,[status(thm)],[f754,f490,f608])).
% 0.15/0.43 fof(f782,plain,(
% 0.15/0.43 $false),
% 0.15/0.43 inference(sat_refutation,[status(thm)],[f324,f326,f341,f346,f351,f353,f356,f360,f395,f400,f407,f410,f412,f424,f428,f430,f438,f445,f507,f523,f528,f534,f536,f566,f592,f602,f615,f617,f619,f631,f640,f642,f664,f666,f668,f676,f687,f689,f691,f700,f707,f711,f718,f730,f732,f734,f736,f740,f743,f745,f747,f763,f771,f775,f778,f779])).
% 0.15/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.137551 seconds
% 0.15/0.44 % CPU time: 0.332206 seconds
% 0.15/0.44 % Memory used: 37.911 MB
%------------------------------------------------------------------------------