TSTP Solution File: SEU399+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU399+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:42:11 EDT 2024
% Result : Theorem 10.90s 1.81s
% Output : CNFRefutation 10.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU399+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 19:42:42 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 10.90/1.81 % Refutation found
% 10.90/1.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.90/1.81 % SZS output start CNFRefutation for theBenchmark
% 10.90/1.81 fof(f1,conjecture,(
% 10.90/1.81 (! [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] :( in(F,E)<=> ( in(F,the_carrier(B))& (? [G] :( netstr_induced_subset(G,A,B)& (? [H] :( element(H,the_carrier(B))& D = topstr_closure(A,G)& F = H& G = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))) ) )) )) ) )))) )),
% 10.90/1.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.81 fof(f2,negated_conjecture,(
% 10.90/1.81 ~((! [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] :( in(F,E)<=> ( in(F,the_carrier(B))& (? [G] :( netstr_induced_subset(G,A,B)& (? [H] :( element(H,the_carrier(B))& D = topstr_closure(A,G)& F = H& G = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))) ) )) )) ) )))) ))),
% 10.90/1.81 inference(negated_conjecture,[status(cth)],[f1])).
% 10.90/1.81 fof(f70,axiom,(
% 10.90/1.81 (! [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] :( ( E = F& (? [H] :( netstr_induced_subset(H,A,B)& (? [I] :( element(I,the_carrier(B))& D = topstr_closure(A,H)& F = 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))) ) )))& E = G& (? [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))) ) )) ))=> F = G ))=> (? [E] :(! [F] :( in(F,E)<=> (? [G] :( in(G,the_carrier(B))& G = F& (? [L] :( netstr_induced_subset(L,A,B)& (? [M] :( element(M,the_carrier(B))& D = topstr_closure(A,L)& F = M& L = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))) ) )) )) )) ))) )) )),
% 10.90/1.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.90/1.81 fof(f71,plain,(
% 10.90/1.81 (?[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]: (in(F,E)<~>(in(F,the_carrier(B))&(?[G]: (netstr_induced_subset(G,A,B)&(?[H]: (((element(H,the_carrier(B))&D=topstr_closure(A,G))&F=H)&G=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))))))))))))),
% 10.90/1.81 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 10.90/1.81 fof(f72,plain,(
% 10.90/1.81 ?[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]: ((in(F,E)|(in(F,the_carrier(B))&(?[G]: (netstr_induced_subset(G,A,B)&(?[H]: (((element(H,the_carrier(B))&D=topstr_closure(A,G))&F=H)&G=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H)))))))))&(~in(F,E)|(~in(F,the_carrier(B))|(![G]: (~netstr_induced_subset(G,A,B)|(![H]: (((~element(H,the_carrier(B))|~D=topstr_closure(A,G))|~F=H)|~G=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))))))))))))),
% 10.90/1.81 inference(NNF_transformation,[status(esa)],[f71])).
% 10.90/1.81 fof(f73,plain,(
% 10.90/1.81 ?[A,B]: (((((((~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]: ((in(F,E)|(in(F,the_carrier(B))&(?[G]: (netstr_induced_subset(G,A,B)&(?[H]: (((element(H,the_carrier(B))&D=topstr_closure(A,G))&F=H)&G=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H)))))))))&(~in(F,E)|(~in(F,the_carrier(B))|(![G]: (~netstr_induced_subset(G,A,B)|(![H]: (((~element(H,the_carrier(B))|~D=topstr_closure(A,G))|~F=H)|~G=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))))))))))))),
% 10.90/1.81 inference(miniscoping,[status(esa)],[f72])).
% 10.90/1.81 fof(f74,plain,(
% 10.90/1.81 (((((((~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))&![E]: ((in(sk0_3(E),E)|(in(sk0_3(E),the_carrier(sk0_1))&(netstr_induced_subset(sk0_4(E),sk0_0,sk0_1)&(((element(sk0_5(E),the_carrier(sk0_1))&sk0_2=topstr_closure(sk0_0,sk0_4(E)))&sk0_3(E)=sk0_5(E))&sk0_4(E)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_5(E))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_5(E))))))))&(~in(sk0_3(E),E)|(~in(sk0_3(E),the_carrier(sk0_1))|(![G]: (~netstr_induced_subset(G,sk0_0,sk0_1)|(![H]: (((~element(H,the_carrier(sk0_1))|~sk0_2=topstr_closure(sk0_0,G))|~sk0_3(E)=H)|~G=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,H)),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,H)))))))))))),
% 10.90/1.81 inference(skolemization,[status(esa)],[f73])).
% 10.90/1.81 fof(f75,plain,(
% 10.90/1.81 ~empty_carrier(sk0_0)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f76,plain,(
% 10.90/1.81 topological_space(sk0_0)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f77,plain,(
% 10.90/1.81 top_str(sk0_0)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f78,plain,(
% 10.90/1.81 ~empty_carrier(sk0_1)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f79,plain,(
% 10.90/1.81 transitive_relstr(sk0_1)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f80,plain,(
% 10.90/1.81 directed_relstr(sk0_1)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f81,plain,(
% 10.90/1.81 net_str(sk0_1,sk0_0)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f82,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|in(sk0_3(X0),the_carrier(sk0_1)))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f83,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|netstr_induced_subset(sk0_4(X0),sk0_0,sk0_1))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f84,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|element(sk0_5(X0),the_carrier(sk0_1)))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f85,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|sk0_2=topstr_closure(sk0_0,sk0_4(X0)))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f86,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|sk0_3(X0)=sk0_5(X0))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f87,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|sk0_4(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_5(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_5(X0)))))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f88,plain,(
% 10.90/1.81 ![X0,X1,X2]: (~in(sk0_3(X0),X0)|~in(sk0_3(X0),the_carrier(sk0_1))|~netstr_induced_subset(X1,sk0_0,sk0_1)|~element(X2,the_carrier(sk0_1))|~sk0_2=topstr_closure(sk0_0,X1)|~sk0_3(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))))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f74])).
% 10.90/1.81 fof(f302,plain,(
% 10.90/1.81 ![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]: ((((E=F&(?[H]: (netstr_induced_subset(H,A,B)&(?[I]: (((element(I,the_carrier(B))&D=topstr_closure(A,H))&F=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))))))))&E=G)&(?[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))))))))&~F=G))|(?[E]: ![F]: (in(F,E)<=>(?[G]: ((in(G,the_carrier(B))&G=F)&(?[L]: (netstr_induced_subset(L,A,B)&(?[M]: (((element(M,the_carrier(B))&D=topstr_closure(A,L))&F=M)&L=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))))))))))))))),
% 10.90/1.81 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 10.90/1.81 fof(f303,plain,(
% 10.90/1.81 ![A,B,D,E,F,G]: (pd0_0(G,F,E,D,B,A)=>((((E=F&(?[H]: (netstr_induced_subset(H,A,B)&(?[I]: (((element(I,the_carrier(B))&D=topstr_closure(A,H))&F=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))))))))&E=G)&(?[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))))))))&~F=G))),
% 10.90/1.81 introduced(predicate_definition,[f302])).
% 10.90/1.81 fof(f304,plain,(
% 10.90/1.81 ![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]: pd0_0(G,F,E,D,B,A))|(?[E]: ![F]: (in(F,E)<=>(?[G]: ((in(G,the_carrier(B))&G=F)&(?[L]: (netstr_induced_subset(L,A,B)&(?[M]: (((element(M,the_carrier(B))&D=topstr_closure(A,L))&F=M)&L=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))))))))))))))),
% 10.90/1.81 inference(formula_renaming,[status(thm)],[f302,f303])).
% 10.90/1.81 fof(f305,plain,(
% 10.90/1.81 ![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]: pd0_0(G,F,E,D,B,A))|(?[E]: ![F]: ((~in(F,E)|(?[G]: ((in(G,the_carrier(B))&G=F)&(?[L]: (netstr_induced_subset(L,A,B)&(?[M]: (((element(M,the_carrier(B))&D=topstr_closure(A,L))&F=M)&L=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))))))))))&(in(F,E)|(![G]: ((~in(G,the_carrier(B))|~G=F)|(![L]: (~netstr_induced_subset(L,A,B)|(![M]: (((~element(M,the_carrier(B))|~D=topstr_closure(A,L))|~F=M)|~L=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M)))))))))))))))),
% 10.90/1.81 inference(NNF_transformation,[status(esa)],[f304])).
% 10.90/1.81 fof(f306,plain,(
% 10.90/1.81 ![A,B]: (((((((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]: pd0_0(G,F,E,D,B,A))|(?[E]: ((![F]: (~in(F,E)|((?[G]: (in(G,the_carrier(B))&G=F))&(?[L]: (netstr_induced_subset(L,A,B)&(?[M]: (((element(M,the_carrier(B))&D=topstr_closure(A,L))&F=M)&L=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))))))))))&(![F]: (in(F,E)|((![G]: (~in(G,the_carrier(B))|~G=F))|(![L]: (~netstr_induced_subset(L,A,B)|(![M]: (((~element(M,the_carrier(B))|~D=topstr_closure(A,L))|~F=M)|~L=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M)))))))))))))))),
% 10.90/1.81 inference(miniscoping,[status(esa)],[f305])).
% 10.90/1.81 fof(f307,plain,(
% 10.90/1.81 ![A,B]: (((((((empty_carrier(A)|~topological_space(A))|~top_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|(![D]: (pd0_0(sk0_28(D,B,A),sk0_27(D,B,A),sk0_26(D,B,A),D,B,A)|((![F]: (~in(F,sk0_29(D,B,A))|((in(sk0_30(F,D,B,A),the_carrier(B))&sk0_30(F,D,B,A)=F)&(netstr_induced_subset(sk0_31(F,D,B,A),A,B)&(((element(sk0_32(F,D,B,A),the_carrier(B))&D=topstr_closure(A,sk0_31(F,D,B,A)))&F=sk0_32(F,D,B,A))&sk0_31(F,D,B,A)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,sk0_32(F,D,B,A))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,sk0_32(F,D,B,A)))))))))&(![F]: (in(F,sk0_29(D,B,A))|((![G]: (~in(G,the_carrier(B))|~G=F))|(![L]: (~netstr_induced_subset(L,A,B)|(![M]: (((~element(M,the_carrier(B))|~D=topstr_closure(A,L))|~F=M)|~L=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))))))))))))))),
% 10.90/1.81 inference(skolemization,[status(esa)],[f306])).
% 10.90/1.81 fof(f308,plain,(
% 10.90/1.81 ![X0,X1,X2,X3]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(X2,X1,X0),sk0_27(X2,X1,X0),sk0_26(X2,X1,X0),X2,X1,X0)|~in(X3,sk0_29(X2,X1,X0))|in(sk0_30(X3,X2,X1,X0),the_carrier(X1)))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f307])).
% 10.90/1.81 fof(f309,plain,(
% 10.90/1.81 ![X0,X1,X2,X3]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(X2,X1,X0),sk0_27(X2,X1,X0),sk0_26(X2,X1,X0),X2,X1,X0)|~in(X3,sk0_29(X2,X1,X0))|sk0_30(X3,X2,X1,X0)=X3)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f307])).
% 10.90/1.81 fof(f310,plain,(
% 10.90/1.81 ![X0,X1,X2,X3]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(X2,X1,X0),sk0_27(X2,X1,X0),sk0_26(X2,X1,X0),X2,X1,X0)|~in(X3,sk0_29(X2,X1,X0))|netstr_induced_subset(sk0_31(X3,X2,X1,X0),X0,X1))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f307])).
% 10.90/1.81 fof(f311,plain,(
% 10.90/1.81 ![X0,X1,X2,X3]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(X2,X1,X0),sk0_27(X2,X1,X0),sk0_26(X2,X1,X0),X2,X1,X0)|~in(X3,sk0_29(X2,X1,X0))|element(sk0_32(X3,X2,X1,X0),the_carrier(X1)))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f307])).
% 10.90/1.81 fof(f312,plain,(
% 10.90/1.81 ![X0,X1,X2,X3]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(X2,X1,X0),sk0_27(X2,X1,X0),sk0_26(X2,X1,X0),X2,X1,X0)|~in(X3,sk0_29(X2,X1,X0))|X2=topstr_closure(X0,sk0_31(X3,X2,X1,X0)))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f307])).
% 10.90/1.81 fof(f313,plain,(
% 10.90/1.81 ![X0,X1,X2,X3]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(X2,X1,X0),sk0_27(X2,X1,X0),sk0_26(X2,X1,X0),X2,X1,X0)|~in(X3,sk0_29(X2,X1,X0))|X3=sk0_32(X3,X2,X1,X0))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f307])).
% 10.90/1.81 fof(f314,plain,(
% 10.90/1.81 ![X0,X1,X2,X3]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(X2,X1,X0),sk0_27(X2,X1,X0),sk0_26(X2,X1,X0),X2,X1,X0)|~in(X3,sk0_29(X2,X1,X0))|sk0_31(X3,X2,X1,X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sk0_32(X3,X2,X1,X0))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sk0_32(X3,X2,X1,X0)))))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f307])).
% 10.90/1.81 fof(f315,plain,(
% 10.90/1.81 ![X0,X1,X2,X3,X4,X5,X6]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(X2,X1,X0),sk0_27(X2,X1,X0),sk0_26(X2,X1,X0),X2,X1,X0)|in(X3,sk0_29(X2,X1,X0))|~in(X4,the_carrier(X1))|~X4=X3|~netstr_induced_subset(X5,X0,X1)|~element(X6,the_carrier(X1))|~X2=topstr_closure(X0,X5)|~X3=X6|~X5=relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X6)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X6))))),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f307])).
% 10.90/1.81 fof(f316,plain,(
% 10.90/1.81 ![A,B,D,E,F,G]: (~pd0_0(G,F,E,D,B,A)|((((E=F&(?[H]: (netstr_induced_subset(H,A,B)&(?[I]: (((element(I,the_carrier(B))&D=topstr_closure(A,H))&F=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))))))))&E=G)&(?[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))))))))&~F=G))),
% 10.90/1.81 inference(pre_NNF_transformation,[status(esa)],[f303])).
% 10.90/1.81 fof(f317,plain,(
% 10.90/1.81 ![A,B,D,E,F,G]: (~pd0_0(G,F,E,D,B,A)|((((E=F&(netstr_induced_subset(sk0_33(G,F,E,D,B,A),A,B)&(((element(sk0_34(G,F,E,D,B,A),the_carrier(B))&D=topstr_closure(A,sk0_33(G,F,E,D,B,A)))&F=sk0_34(G,F,E,D,B,A))&sk0_33(G,F,E,D,B,A)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,sk0_34(G,F,E,D,B,A))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,sk0_34(G,F,E,D,B,A)))))))&E=G)&(netstr_induced_subset(sk0_35(G,F,E,D,B,A),A,B)&(((element(sk0_36(G,F,E,D,B,A),the_carrier(B))&D=topstr_closure(A,sk0_35(G,F,E,D,B,A)))&G=sk0_36(G,F,E,D,B,A))&sk0_35(G,F,E,D,B,A)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,sk0_36(G,F,E,D,B,A))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,sk0_36(G,F,E,D,B,A)))))))&~F=G))),
% 10.90/1.81 inference(skolemization,[status(esa)],[f316])).
% 10.90/1.81 fof(f318,plain,(
% 10.90/1.81 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3,X4,X5)|X2=X1)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f317])).
% 10.90/1.81 fof(f324,plain,(
% 10.90/1.81 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3,X4,X5)|X2=X0)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f317])).
% 10.90/1.81 fof(f330,plain,(
% 10.90/1.81 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3,X4,X5)|~X1=X0)),
% 10.90/1.81 inference(cnf_transformation,[status(esa)],[f317])).
% 10.90/1.81 fof(f331,plain,(
% 10.90/1.81 ![X0]: (~in(sk0_3(X0),X0)|~in(sk0_3(X0),the_carrier(sk0_1))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|~element(sk0_3(X0),the_carrier(sk0_1))|~sk0_2=topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))))),
% 10.90/1.81 inference(destructive_equality_resolution,[status(esa)],[f88])).
% 10.90/1.81 fof(f332,plain,(
% 10.90/1.81 ![X0,X1,X2]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|pd0_0(sk0_28(topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X2)))),X1,X0),sk0_27(topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X2)))),X1,X0),sk0_26(topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X2)))),X1,X0),topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X2)))),X1,X0)|in(X2,sk0_29(topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X2)))),X1,X0))|~in(X2,the_carrier(X1))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X2))),X0,X1)|~element(X2,the_carrier(X1)))),
% 10.90/1.81 inference(destructive_equality_resolution,[status(esa)],[f315])).
% 10.90/1.81 fof(f333,plain,(
% 10.90/1.81 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X0,X1,X2,X3,X4))),
% 10.90/1.81 inference(destructive_equality_resolution,[status(esa)],[f330])).
% 10.90/1.81 fof(f334,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|element(sk0_3(X0),the_carrier(sk0_1))|in(sk0_3(X0),X0))),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f86,f84])).
% 10.90/1.81 fof(f335,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|element(sk0_3(X0),the_carrier(sk0_1)))),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f334])).
% 10.90/1.81 fof(f336,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|sk0_4(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_5(X0))))|in(sk0_3(X0),X0))),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f86,f87])).
% 10.90/1.81 fof(f337,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|sk0_4(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_5(X0)))))),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f336])).
% 10.90/1.81 fof(f340,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|sk0_4(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))|in(sk0_3(X0),X0))),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f86,f337])).
% 10.90/1.81 fof(f341,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),X0)|sk0_4(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))))),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f340])).
% 10.90/1.81 fof(f361,plain,(
% 10.90/1.81 spl0_1 <=> topological_space(sk0_0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f363,plain,(
% 10.90/1.81 ~topological_space(sk0_0)|spl0_1),
% 10.90/1.81 inference(component_clause,[status(thm)],[f361])).
% 10.90/1.81 fof(f364,plain,(
% 10.90/1.81 spl0_2 <=> top_str(sk0_0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f366,plain,(
% 10.90/1.81 ~top_str(sk0_0)|spl0_2),
% 10.90/1.81 inference(component_clause,[status(thm)],[f364])).
% 10.90/1.81 fof(f384,plain,(
% 10.90/1.81 $false|spl0_2),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f366,f77])).
% 10.90/1.81 fof(f385,plain,(
% 10.90/1.81 spl0_2),
% 10.90/1.81 inference(contradiction_clause,[status(thm)],[f384])).
% 10.90/1.81 fof(f386,plain,(
% 10.90/1.81 $false|spl0_1),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f363,f76])).
% 10.90/1.81 fof(f387,plain,(
% 10.90/1.81 spl0_1),
% 10.90/1.81 inference(contradiction_clause,[status(thm)],[f386])).
% 10.90/1.81 fof(f419,plain,(
% 10.90/1.81 spl0_9 <=> empty_carrier(sk0_0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f420,plain,(
% 10.90/1.81 empty_carrier(sk0_0)|~spl0_9),
% 10.90/1.81 inference(component_clause,[status(thm)],[f419])).
% 10.90/1.81 fof(f436,plain,(
% 10.90/1.81 spl0_13 <=> empty_carrier(sk0_1)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f437,plain,(
% 10.90/1.81 empty_carrier(sk0_1)|~spl0_13),
% 10.90/1.81 inference(component_clause,[status(thm)],[f436])).
% 10.90/1.81 fof(f439,plain,(
% 10.90/1.81 spl0_14 <=> transitive_relstr(sk0_1)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f441,plain,(
% 10.90/1.81 ~transitive_relstr(sk0_1)|spl0_14),
% 10.90/1.81 inference(component_clause,[status(thm)],[f439])).
% 10.90/1.81 fof(f442,plain,(
% 10.90/1.81 spl0_15 <=> directed_relstr(sk0_1)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f444,plain,(
% 10.90/1.81 ~directed_relstr(sk0_1)|spl0_15),
% 10.90/1.81 inference(component_clause,[status(thm)],[f442])).
% 10.90/1.81 fof(f445,plain,(
% 10.90/1.81 spl0_16 <=> net_str(sk0_1,sk0_0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f447,plain,(
% 10.90/1.81 ~net_str(sk0_1,sk0_0)|spl0_16),
% 10.90/1.81 inference(component_clause,[status(thm)],[f445])).
% 10.90/1.81 fof(f448,plain,(
% 10.90/1.81 spl0_17 <=> pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~in(sk0_3(X0),the_carrier(sk0_1))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|~element(sk0_3(X0),the_carrier(sk0_1))|in(sk0_3(X0),X0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f449,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~in(sk0_3(X0),the_carrier(sk0_1))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|~element(sk0_3(X0),the_carrier(sk0_1))|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f448])).
% 10.90/1.81 fof(f451,plain,(
% 10.90/1.81 ![X0]: (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)|pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~in(sk0_3(X0),the_carrier(sk0_1))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|~element(sk0_3(X0),the_carrier(sk0_1))|in(sk0_3(X0),X0))),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f341,f332])).
% 10.90/1.81 fof(f452,plain,(
% 10.90/1.81 spl0_9|~spl0_1|~spl0_2|spl0_13|~spl0_14|~spl0_15|~spl0_16|spl0_17),
% 10.90/1.81 inference(split_clause,[status(thm)],[f451,f419,f361,f364,f436,f439,f442,f445,f448])).
% 10.90/1.81 fof(f488,plain,(
% 10.90/1.81 $false|spl0_16),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f447,f81])).
% 10.90/1.81 fof(f489,plain,(
% 10.90/1.81 spl0_16),
% 10.90/1.81 inference(contradiction_clause,[status(thm)],[f488])).
% 10.90/1.81 fof(f490,plain,(
% 10.90/1.81 $false|spl0_15),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f444,f80])).
% 10.90/1.81 fof(f491,plain,(
% 10.90/1.81 spl0_15),
% 10.90/1.81 inference(contradiction_clause,[status(thm)],[f490])).
% 10.90/1.81 fof(f492,plain,(
% 10.90/1.81 $false|spl0_14),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f441,f79])).
% 10.90/1.81 fof(f493,plain,(
% 10.90/1.81 spl0_14),
% 10.90/1.81 inference(contradiction_clause,[status(thm)],[f492])).
% 10.90/1.81 fof(f494,plain,(
% 10.90/1.81 $false|~spl0_9),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f420,f75])).
% 10.90/1.81 fof(f495,plain,(
% 10.90/1.81 ~spl0_9),
% 10.90/1.81 inference(contradiction_clause,[status(thm)],[f494])).
% 10.90/1.81 fof(f496,plain,(
% 10.90/1.81 $false|~spl0_13),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f437,f78])).
% 10.90/1.81 fof(f497,plain,(
% 10.90/1.81 ~spl0_13),
% 10.90/1.81 inference(contradiction_clause,[status(thm)],[f496])).
% 10.90/1.81 fof(f498,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|~element(sk0_3(X0),the_carrier(sk0_1))|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f449,f82])).
% 10.90/1.81 fof(f506,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f498,f335])).
% 10.90/1.81 fof(f509,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f341,f506])).
% 10.90/1.81 fof(f510,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f509])).
% 10.90/1.81 fof(f519,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f341,f510])).
% 10.90/1.81 fof(f520,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f519])).
% 10.90/1.81 fof(f529,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f341,f520])).
% 10.90/1.81 fof(f530,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f529])).
% 10.90/1.81 fof(f531,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f85,f530])).
% 10.90/1.81 fof(f532,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f531])).
% 10.90/1.81 fof(f539,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f85,f532])).
% 10.90/1.81 fof(f540,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))))),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f539])).
% 10.90/1.81 fof(f546,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f341,f540])).
% 10.90/1.81 fof(f547,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f546])).
% 10.90/1.81 fof(f548,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f85,f547])).
% 10.90/1.81 fof(f549,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(X0)))),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f548])).
% 10.90/1.81 fof(f552,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|~netstr_induced_subset(sk0_4(X0),sk0_0,sk0_1)|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f341,f549])).
% 10.90/1.81 fof(f553,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|~netstr_induced_subset(sk0_4(X0),sk0_0,sk0_1)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f552])).
% 10.90/1.81 fof(f554,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f553,f83])).
% 10.90/1.81 fof(f635,plain,(
% 10.90/1.81 spl0_25 <=> pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_2,sk0_1,sk0_0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f636,plain,(
% 10.90/1.81 pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_2,sk0_1,sk0_0)|~spl0_25),
% 10.90/1.81 inference(component_clause,[status(thm)],[f635])).
% 10.90/1.81 fof(f637,plain,(
% 10.90/1.81 ~pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_2,sk0_1,sk0_0)|spl0_25),
% 10.90/1.81 inference(component_clause,[status(thm)],[f635])).
% 10.90/1.81 fof(f638,plain,(
% 10.90/1.81 spl0_26 <=> in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f639,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_26)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f638])).
% 10.90/1.81 fof(f641,plain,(
% 10.90/1.81 ![X0]: (pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_2,sk0_1,sk0_0)|in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_17)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f85,f554])).
% 10.90/1.81 fof(f642,plain,(
% 10.90/1.81 spl0_25|spl0_26|~spl0_17),
% 10.90/1.81 inference(split_clause,[status(thm)],[f641,f635,f638,f448])).
% 10.90/1.81 fof(f906,plain,(
% 10.90/1.81 sk0_26(sk0_2,sk0_1,sk0_0)=sk0_27(sk0_2,sk0_1,sk0_0)|~spl0_25),
% 10.90/1.81 inference(resolution,[status(thm)],[f318,f636])).
% 10.90/1.81 fof(f915,plain,(
% 10.90/1.81 spl0_30 <=> in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|in(sk0_3(X0),X0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f916,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|in(sk0_3(X0),X0)|~spl0_30)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f915])).
% 10.90/1.81 fof(f968,plain,(
% 10.90/1.81 sk0_26(sk0_2,sk0_1,sk0_0)=sk0_28(sk0_2,sk0_1,sk0_0)|~spl0_25),
% 10.90/1.81 inference(resolution,[status(thm)],[f324,f636])).
% 10.90/1.81 fof(f1034,plain,(
% 10.90/1.81 pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_2,sk0_1,sk0_0)|~spl0_25),
% 10.90/1.81 inference(backward_demodulation,[status(thm)],[f906,f636])).
% 10.90/1.81 fof(f1165,plain,(
% 10.90/1.81 pd0_0(sk0_26(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_2,sk0_1,sk0_0)|~spl0_25),
% 10.90/1.81 inference(forward_demodulation,[status(thm)],[f968,f1034])).
% 10.90/1.81 fof(f1166,plain,(
% 10.90/1.81 $false|~spl0_25),
% 10.90/1.81 inference(forward_subsumption_resolution,[status(thm)],[f1165,f333])).
% 10.90/1.81 fof(f1167,plain,(
% 10.90/1.81 ~spl0_25),
% 10.90/1.81 inference(contradiction_clause,[status(thm)],[f1166])).
% 10.90/1.81 fof(f2122,plain,(
% 10.90/1.81 spl0_46 <=> ~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|in(sk0_30(X0,sk0_2,sk0_1,sk0_0),the_carrier(sk0_1))),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2123,plain,(
% 10.90/1.81 ![X0]: (~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|in(sk0_30(X0,sk0_2,sk0_1,sk0_0),the_carrier(sk0_1))|~spl0_46)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2122])).
% 10.90/1.81 fof(f2386,plain,(
% 10.90/1.81 spl0_48 <=> ~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|sk0_30(X0,sk0_2,sk0_1,sk0_0)=X0),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2387,plain,(
% 10.90/1.81 ![X0]: (~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|sk0_30(X0,sk0_2,sk0_1,sk0_0)=X0|~spl0_48)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2386])).
% 10.90/1.81 fof(f2415,plain,(
% 10.90/1.81 spl0_49 <=> in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2416,plain,(
% 10.90/1.81 in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|~spl0_49),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2415])).
% 10.90/1.81 fof(f2417,plain,(
% 10.90/1.81 ~in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|spl0_49),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2415])).
% 10.90/1.81 fof(f2423,plain,(
% 10.90/1.81 spl0_51 <=> in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_1))),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2430,plain,(
% 10.90/1.81 spl0_52 <=> ~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|X0=sk0_32(X0,sk0_2,sk0_1,sk0_0)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2431,plain,(
% 10.90/1.81 ![X0]: (~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|X0=sk0_32(X0,sk0_2,sk0_1,sk0_0)|~spl0_52)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2430])).
% 10.90/1.81 fof(f2433,plain,(
% 10.90/1.81 ![X0]: (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)|~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|X0=sk0_32(X0,sk0_2,sk0_1,sk0_0)|spl0_25)),
% 10.90/1.81 inference(resolution,[status(thm)],[f637,f313])).
% 10.90/1.81 fof(f2434,plain,(
% 10.90/1.81 spl0_9|~spl0_1|~spl0_2|spl0_13|~spl0_14|~spl0_15|~spl0_16|spl0_52|spl0_25),
% 10.90/1.81 inference(split_clause,[status(thm)],[f2433,f419,f361,f364,f436,f439,f442,f445,f2430,f635])).
% 10.90/1.81 fof(f2435,plain,(
% 10.90/1.81 spl0_53 <=> ~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|sk0_2=topstr_closure(sk0_0,sk0_31(X0,sk0_2,sk0_1,sk0_0))),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2436,plain,(
% 10.90/1.81 ![X0]: (~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|sk0_2=topstr_closure(sk0_0,sk0_31(X0,sk0_2,sk0_1,sk0_0))|~spl0_53)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2435])).
% 10.90/1.81 fof(f2438,plain,(
% 10.90/1.81 ![X0]: (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)|~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|sk0_2=topstr_closure(sk0_0,sk0_31(X0,sk0_2,sk0_1,sk0_0))|spl0_25)),
% 10.90/1.81 inference(resolution,[status(thm)],[f637,f312])).
% 10.90/1.81 fof(f2439,plain,(
% 10.90/1.81 spl0_9|~spl0_1|~spl0_2|spl0_13|~spl0_14|~spl0_15|~spl0_16|spl0_53|spl0_25),
% 10.90/1.81 inference(split_clause,[status(thm)],[f2438,f419,f361,f364,f436,f439,f442,f445,f2435,f635])).
% 10.90/1.81 fof(f2440,plain,(
% 10.90/1.81 spl0_54 <=> ~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|element(sk0_32(X0,sk0_2,sk0_1,sk0_0),the_carrier(sk0_1))),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2441,plain,(
% 10.90/1.81 ![X0]: (~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|element(sk0_32(X0,sk0_2,sk0_1,sk0_0),the_carrier(sk0_1))|~spl0_54)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2440])).
% 10.90/1.81 fof(f2443,plain,(
% 10.90/1.81 ![X0]: (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)|~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|element(sk0_32(X0,sk0_2,sk0_1,sk0_0),the_carrier(sk0_1))|spl0_25)),
% 10.90/1.81 inference(resolution,[status(thm)],[f637,f311])).
% 10.90/1.81 fof(f2444,plain,(
% 10.90/1.81 spl0_9|~spl0_1|~spl0_2|spl0_13|~spl0_14|~spl0_15|~spl0_16|spl0_54|spl0_25),
% 10.90/1.81 inference(split_clause,[status(thm)],[f2443,f419,f361,f364,f436,f439,f442,f445,f2440,f635])).
% 10.90/1.81 fof(f2445,plain,(
% 10.90/1.81 spl0_55 <=> ~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|netstr_induced_subset(sk0_31(X0,sk0_2,sk0_1,sk0_0),sk0_0,sk0_1)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2446,plain,(
% 10.90/1.81 ![X0]: (~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|netstr_induced_subset(sk0_31(X0,sk0_2,sk0_1,sk0_0),sk0_0,sk0_1)|~spl0_55)),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2445])).
% 10.90/1.81 fof(f2448,plain,(
% 10.90/1.81 ![X0]: (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)|~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|netstr_induced_subset(sk0_31(X0,sk0_2,sk0_1,sk0_0),sk0_0,sk0_1)|spl0_25)),
% 10.90/1.81 inference(resolution,[status(thm)],[f637,f310])).
% 10.90/1.81 fof(f2449,plain,(
% 10.90/1.81 spl0_9|~spl0_1|~spl0_2|spl0_13|~spl0_14|~spl0_15|~spl0_16|spl0_55|spl0_25),
% 10.90/1.81 inference(split_clause,[status(thm)],[f2448,f419,f361,f364,f436,f439,f442,f445,f2445,f635])).
% 10.90/1.81 fof(f2450,plain,(
% 10.90/1.81 ![X0]: (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)|~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|sk0_30(X0,sk0_2,sk0_1,sk0_0)=X0|spl0_25)),
% 10.90/1.81 inference(resolution,[status(thm)],[f637,f309])).
% 10.90/1.81 fof(f2451,plain,(
% 10.90/1.81 spl0_9|~spl0_1|~spl0_2|spl0_13|~spl0_14|~spl0_15|~spl0_16|spl0_48|spl0_25),
% 10.90/1.81 inference(split_clause,[status(thm)],[f2450,f419,f361,f364,f436,f439,f442,f445,f2386,f635])).
% 10.90/1.81 fof(f2452,plain,(
% 10.90/1.81 ![X0]: (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)|~in(X0,sk0_29(sk0_2,sk0_1,sk0_0))|in(sk0_30(X0,sk0_2,sk0_1,sk0_0),the_carrier(sk0_1))|spl0_25)),
% 10.90/1.81 inference(resolution,[status(thm)],[f637,f308])).
% 10.90/1.81 fof(f2453,plain,(
% 10.90/1.81 spl0_9|~spl0_1|~spl0_2|spl0_13|~spl0_14|~spl0_15|~spl0_16|spl0_46|spl0_25),
% 10.90/1.81 inference(split_clause,[status(thm)],[f2452,f419,f361,f364,f436,f439,f442,f445,f2122,f635])).
% 10.90/1.81 fof(f2535,plain,(
% 10.90/1.81 spl0_72 <=> element(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_1))),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2545,plain,(
% 10.90/1.81 spl0_74 <=> sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_32(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))))),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2546,plain,(
% 10.90/1.81 sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_32(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))))|~spl0_74),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2545])).
% 10.90/1.81 fof(f2575,plain,(
% 10.90/1.81 spl0_75 <=> netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0))))),sk0_0,sk0_1)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2577,plain,(
% 10.90/1.81 ~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0))))),sk0_0,sk0_1)|spl0_75),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2575])).
% 10.90/1.81 fof(f2578,plain,(
% 10.90/1.81 spl0_76 <=> sk0_2=topstr_closure(sk0_0,sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f2580,plain,(
% 10.90/1.81 ~sk0_2=topstr_closure(sk0_0,sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|spl0_76),
% 10.90/1.81 inference(component_clause,[status(thm)],[f2578])).
% 10.90/1.81 fof(f2776,plain,(
% 10.90/1.81 ~in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|spl0_76|~spl0_53),
% 10.90/1.81 inference(resolution,[status(thm)],[f2580,f2436])).
% 10.90/1.81 fof(f2777,plain,(
% 10.90/1.81 ~spl0_49|spl0_76|~spl0_53),
% 10.90/1.81 inference(split_clause,[status(thm)],[f2776,f2415,f2578,f2435])).
% 10.90/1.81 fof(f2778,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),sk0_29(topstr_closure(sk0_0,sk0_4(X0)),sk0_1,sk0_0))|in(sk0_3(X0),X0)|~spl0_26)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f639])).
% 10.90/1.81 fof(f3111,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),sk0_29(sk0_2,sk0_1,sk0_0))|in(sk0_3(X0),X0)|in(sk0_3(X0),X0)|~spl0_30)),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f85,f916])).
% 10.90/1.81 fof(f3112,plain,(
% 10.90/1.81 ![X0]: (in(sk0_3(X0),sk0_29(sk0_2,sk0_1,sk0_0))|in(sk0_3(X0),X0)|~spl0_30)),
% 10.90/1.81 inference(duplicate_literals_removal,[status(esa)],[f3111])).
% 10.90/1.81 fof(f3224,plain,(
% 10.90/1.81 in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|~spl0_30|spl0_49),
% 10.90/1.81 inference(resolution,[status(thm)],[f3112,f2417])).
% 10.90/1.81 fof(f3225,plain,(
% 10.90/1.81 spl0_49|~spl0_30),
% 10.90/1.81 inference(split_clause,[status(thm)],[f3224,f2415,f915])).
% 10.90/1.81 fof(f3228,plain,(
% 10.90/1.81 spl0_30|~spl0_26),
% 10.90/1.81 inference(split_clause,[status(thm)],[f2778,f915,f638])).
% 10.90/1.81 fof(f3268,plain,(
% 10.90/1.81 sk0_30(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=sk0_3(sk0_29(sk0_2,sk0_1,sk0_0))|~spl0_49|~spl0_48),
% 10.90/1.81 inference(resolution,[status(thm)],[f2416,f2387])).
% 10.90/1.81 fof(f3269,plain,(
% 10.90/1.81 sk0_3(sk0_29(sk0_2,sk0_1,sk0_0))=sk0_32(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)|~spl0_49|~spl0_52),
% 10.90/1.81 inference(resolution,[status(thm)],[f2416,f2431])).
% 10.90/1.81 fof(f3870,plain,(
% 10.90/1.81 ~in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_1))|~spl0_46|~spl0_49|~spl0_48),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f3268,f2123])).
% 10.90/1.81 fof(f3871,plain,(
% 10.90/1.81 ~spl0_49|spl0_51|~spl0_46|~spl0_48),
% 10.90/1.81 inference(split_clause,[status(thm)],[f3870,f2415,f2423,f2122,f2386])).
% 10.90/1.81 fof(f3876,plain,(
% 10.90/1.81 ~in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|element(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_1))|~spl0_54|~spl0_49|~spl0_52),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f3269,f2441])).
% 10.90/1.81 fof(f3877,plain,(
% 10.90/1.81 ~spl0_49|spl0_72|~spl0_54|~spl0_52),
% 10.90/1.81 inference(split_clause,[status(thm)],[f3876,f2415,f2535,f2440,f2430])).
% 10.90/1.81 fof(f3880,plain,(
% 10.90/1.81 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)|pd0_0(sk0_28(sk0_2,sk0_1,sk0_0),sk0_27(sk0_2,sk0_1,sk0_0),sk0_26(sk0_2,sk0_1,sk0_0),sk0_2,sk0_1,sk0_0)|~in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_32(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))))|~spl0_49|~spl0_52),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f3269,f314])).
% 10.90/1.81 fof(f3881,plain,(
% 10.90/1.81 spl0_9|~spl0_1|~spl0_2|spl0_13|~spl0_14|~spl0_15|~spl0_16|spl0_25|~spl0_49|spl0_74|~spl0_52),
% 10.90/1.81 inference(split_clause,[status(thm)],[f3880,f419,f361,f364,f436,f439,f442,f445,f635,f2415,f2545,f2430])).
% 10.90/1.81 fof(f3882,plain,(
% 10.90/1.81 sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)))))|~spl0_49|~spl0_52|~spl0_74),
% 10.90/1.81 inference(forward_demodulation,[status(thm)],[f3269,f2546])).
% 10.90/1.81 fof(f5162,plain,(
% 10.90/1.81 spl0_366 <=> netstr_induced_subset(sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_0,sk0_1)),
% 10.90/1.81 introduced(split_symbol_definition)).
% 10.90/1.81 fof(f5164,plain,(
% 10.90/1.81 ~netstr_induced_subset(sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_0,sk0_1)|spl0_366),
% 10.90/1.81 inference(component_clause,[status(thm)],[f5162])).
% 10.90/1.81 fof(f5743,plain,(
% 10.90/1.81 ~in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|spl0_366|~spl0_55),
% 10.90/1.81 inference(resolution,[status(thm)],[f5164,f2446])).
% 10.90/1.81 fof(f5744,plain,(
% 10.90/1.81 ~spl0_49|spl0_366|~spl0_55),
% 10.90/1.81 inference(split_clause,[status(thm)],[f5743,f2415,f5162,f2445])).
% 10.90/1.81 fof(f6445,plain,(
% 10.90/1.81 ~netstr_induced_subset(sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0),sk0_0,sk0_1)|~spl0_49|~spl0_52|~spl0_74|spl0_75),
% 10.90/1.81 inference(backward_demodulation,[status(thm)],[f3882,f2577])).
% 10.90/1.81 fof(f6446,plain,(
% 10.90/1.81 ~spl0_366|~spl0_49|~spl0_52|~spl0_74|spl0_75),
% 10.90/1.81 inference(split_clause,[status(thm)],[f6445,f5162,f2415,f2430,f2545,f2575])).
% 10.90/1.81 fof(f6461,plain,(
% 10.90/1.81 ~in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_29(sk0_2,sk0_1,sk0_0))|~in(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_1))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)))),the_carrier(sk0_0),the_mapping(sk0_0,subnetstr_of_element(sk0_0,sk0_1,sk0_3(sk0_29(sk0_2,sk0_1,sk0_0))))),sk0_0,sk0_1)|~element(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),the_carrier(sk0_1))|~sk0_2=topstr_closure(sk0_0,sk0_31(sk0_3(sk0_29(sk0_2,sk0_1,sk0_0)),sk0_2,sk0_1,sk0_0))|~spl0_49|~spl0_52|~spl0_74),
% 10.90/1.81 inference(paramodulation,[status(thm)],[f3882,f331])).
% 10.90/1.81 fof(f6462,plain,(
% 10.90/1.81 ~spl0_49|~spl0_51|~spl0_75|~spl0_72|~spl0_76|~spl0_52|~spl0_74),
% 10.90/1.81 inference(split_clause,[status(thm)],[f6461,f2415,f2423,f2575,f2535,f2578,f2430,f2545])).
% 10.90/1.81 fof(f6537,plain,(
% 10.90/1.81 $false),
% 10.90/1.81 inference(sat_refutation,[status(thm)],[f385,f387,f452,f489,f491,f493,f495,f497,f642,f1167,f2434,f2439,f2444,f2449,f2451,f2453,f2777,f3225,f3228,f3871,f3877,f3881,f5744,f6446,f6462])).
% 10.90/1.81 % SZS output end CNFRefutation for theBenchmark.p
% 11.50/1.85 % Elapsed time: 1.490810 seconds
% 11.50/1.85 % CPU time: 11.637064 seconds
% 11.50/1.85 % Total memory used: 227.584 MB
% 11.50/1.85 % Net memory used: 223.672 MB
%------------------------------------------------------------------------------