Drodi-SAT---4.1.1.THM-Ass.s

%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU401+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:22:31 PM UTC 2026

% Result   : Theorem 8.19s 1.45s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU401+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n002.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 06:22:32 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 8.19/1.45  % Refutation found
% 8.19/1.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 8.19/1.45  % SZS output start CNFRefutation for theBenchmark
% 8.19/1.45  fof(f1,conjecture,(
% 8.19/1.45    (! [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 ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f2,negated_conjecture,(
% 8.19/1.45    ~((! [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 ) )) ))),
% 8.19/1.45    inference(negated_conjecture,[status(cth)],[f1])).
% 8.19/1.45  fof(f3,axiom,(
% 8.19/1.45    (! [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) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f4,axiom,(
% 8.19/1.45    (! [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) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f5,axiom,(
% 8.19/1.45    (? [A] :( ~ empty(A)& finite(A) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f6,axiom,(
% 8.19/1.45    (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B)& finite(B) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f7,axiom,(
% 8.19/1.45    (! [A] :( finite(A)=> (! [B] :( element(B,powerset(A))=> finite(B) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f9,axiom,(
% 8.19/1.45    (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B)& finite(B) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f13,axiom,(
% 8.19/1.45    (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( nowhere_dense(B,A)=> boundary_set(B,A) ) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f14,axiom,(
% 8.19/1.45    (! [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) ) ) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f15,axiom,(
% 8.19/1.45    (! [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) ) ) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f17,axiom,(
% 8.19/1.45    (! [A] :( one_sorted_str(A)=> (? [B] :( element(B,powerset(powerset(the_carrier(A))))& ~ empty(B)& finite(B) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f21,axiom,(
% 8.19/1.45    (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f22,axiom,(
% 8.19/1.45    (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f24,axiom,(
% 8.19/1.45    (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f25,axiom,(
% 8.19/1.45    (! [A] :( empty(A)=> finite(A) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f29,axiom,(
% 8.19/1.45    (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> ( open_subset(B,A)& closed_subset(B,A) ) ) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f30,axiom,(
% 8.19/1.45    (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> boundary_set(B,A) ) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f31,axiom,(
% 8.19/1.45    (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> nowhere_dense(B,A) ) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f34,axiom,(
% 8.19/1.45    (? [A] :( empty(A)& relation(A) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f37,axiom,(
% 8.19/1.45    (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_rng(A)) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f38,axiom,(
% 8.19/1.45    (! [A] :( empty(A)=> ( empty(relation_rng(A))& relation(relation_rng(A)) ) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f39,axiom,(
% 8.19/1.45    (! [A,B] :( ( one_sorted_str(A)& net_str(B,A) )=> ( strict_net_str(B,A)=> B = net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)) ) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f40,axiom,(
% 8.19/1.45    (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f43,axiom,(
% 8.19/1.45    (! [A,B,C] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& net_str(B,A)& element(C,the_carrier(B)) )=> ( strict_net_str(netstr_restr_to_element(A,B,C),A)& net_str(netstr_restr_to_element(A,B,C),A) ) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f44,axiom,(
% 8.19/1.45    (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f48,axiom,(
% 8.19/1.45    (! [A,B] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A) )=> (! [C] :( subnet(C,A,B)=> ( ~ empty_carrier(C)& transitive_relstr(C)& directed_relstr(C)& net_str(C,A) ) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f50,axiom,(
% 8.19/1.45    (? [A] :( one_sorted_str(A)& ~ empty_carrier(A) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f53,axiom,(
% 8.19/1.45    (! [A] :( one_sorted_str(A)=> (? [B] :( net_str(B,A)& strict_net_str(B,A) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f54,axiom,(
% 8.19/1.45    (! [A,B,C] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& directed_relstr(B)& net_str(B,A)& element(C,the_carrier(B)) )=> ( ~ empty_carrier(netstr_restr_to_element(A,B,C))& strict_net_str(netstr_restr_to_element(A,B,C),A) ) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f55,axiom,(
% 8.19/1.45    (! [A,B,C] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A)& element(C,the_carrier(B)) )=> ( ~ empty_carrier(netstr_restr_to_element(A,B,C))& transitive_relstr(netstr_restr_to_element(A,B,C))& strict_net_str(netstr_restr_to_element(A,B,C),A)& directed_relstr(netstr_restr_to_element(A,B,C)) ) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f56,axiom,(
% 8.19/1.45    (! [A,B] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A) )=> (? [C] :( subnet(C,A,B)& ~ empty_carrier(C)& transitive_relstr(C)& strict_net_str(C,A)& directed_relstr(C) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f58,axiom,(
% 8.19/1.45    (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f59,axiom,(
% 8.19/1.45    (! [A,B,C] :( relation_of2(C,A,B)=> relation_rng_as_subset(A,B,C) = relation_rng(C) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f60,axiom,(
% 8.19/1.45    (! [A,B,C] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A)& element(C,the_carrier(B)) )=> subnetstr_of_element(A,B,C) = netstr_restr_to_element(A,B,C) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f61,axiom,(
% 8.19/1.45    (! [A,B,C] :( relation_of2(C,A,B)=> element(relation_rng_as_subset(A,B,C),powerset(B)) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f63,axiom,(
% 8.19/1.45    (! [A,B,C] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A)& element(C,the_carrier(B)) )=> ( strict_net_str(subnetstr_of_element(A,B,C),A)& subnet(subnetstr_of_element(A,B,C),A,B) ) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f64,axiom,(
% 8.19/1.45    (! [A] :( top_str(A)=> one_sorted_str(A) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f65,axiom,(
% 8.19/1.45    (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> rel_str(B) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f67,axiom,(
% 8.19/1.45    (! [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))) ) )) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f69,axiom,(
% 8.19/1.45    (! [A,B] :( ( one_sorted_str(A)& net_str(B,A) )=> ( function(the_mapping(A,B))& quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))& relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)) ) ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f70,axiom,(
% 8.19/1.45    (! [A,B] :( (! [C] :( in(C,A)<=> in(C,B) ))=> A = B ) )),
% 8.19/1.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.19/1.45  fof(f71,plain,(
% 8.19/1.45    (?[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))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 8.19/1.45  fof(f72,plain,(
% 8.19/1.45    ?[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)))),
% 8.19/1.45    inference(NNF_transformation,[status(thm)],[f71])).
% 8.19/1.45  fof(f73,plain,(
% 8.19/1.45    ?[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)))),
% 8.19/1.45    inference(miniscoping,[status(thm)],[f72])).
% 8.19/1.45  fof(f74,plain,(
% 8.19/1.45    (((((((~empty_carrier(sK0_skl)&topological_space(sK0_skl))&top_str(sK0_skl))&~empty_carrier(sK1_skl))&transitive_relstr(sK1_skl))&directed_relstr(sK1_skl))&net_str(sK1_skl,sK0_skl))&((((![G]: (~in(G,sK2_skl)|(in(G,the_carrier(sK1_skl))&(netstr_induced_subset(sK5_skl(G),sK0_skl,sK1_skl)&(((element(sK6_skl(G),the_carrier(sK1_skl))&sK4_skl=topstr_closure(sK0_skl,sK5_skl(G)))&G=sK6_skl(G))&sK5_skl(G)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(G))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(G)))))))))&(![G]: (in(G,sK2_skl)|(~in(G,the_carrier(sK1_skl))|(![H]: (~netstr_induced_subset(H,sK0_skl,sK1_skl)|(![I]: (((~element(I,the_carrier(sK1_skl))|~sK4_skl=topstr_closure(sK0_skl,H))|~G=I)|~H=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,I)),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,I)))))))))))&((![G]: (~in(G,sK3_skl)|(in(G,the_carrier(sK1_skl))&(netstr_induced_subset(sK7_skl(G),sK0_skl,sK1_skl)&(((element(sK8_skl(G),the_carrier(sK1_skl))&sK4_skl=topstr_closure(sK0_skl,sK7_skl(G)))&G=sK8_skl(G))&sK7_skl(G)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(G))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(G)))))))))&(![G]: (in(G,sK3_skl)|(~in(G,the_carrier(sK1_skl))|(![J]: (~netstr_induced_subset(J,sK0_skl,sK1_skl)|(![K]: (((~element(K,the_carrier(sK1_skl))|~sK4_skl=topstr_closure(sK0_skl,J))|~G=K)|~J=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,K)),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,K))))))))))))&~sK2_skl=sK3_skl))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(E,sK2_skl),skolemize(F,sK3_skl),skolemize(D,sK4_skl),skolemize(H,sK5_skl(G)),skolemize(I,sK6_skl(G)),skolemize(J,sK7_skl(G)),skolemize(K,sK8_skl(G))],[f73])).
% 8.19/1.45  fof(f75,plain,(
% 8.19/1.45    ~empty_carrier(sK0_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f76,plain,(
% 8.19/1.45    topological_space(sK0_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f77,plain,(
% 8.19/1.45    top_str(sK0_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f78,plain,(
% 8.19/1.45    ~empty_carrier(sK1_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f79,plain,(
% 8.19/1.45    transitive_relstr(sK1_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f80,plain,(
% 8.19/1.45    directed_relstr(sK1_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f81,plain,(
% 8.19/1.45    net_str(sK1_skl,sK0_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f82,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK2_skl)|in(X0,the_carrier(sK1_skl)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f83,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK2_skl)|netstr_induced_subset(sK5_skl(X0),sK0_skl,sK1_skl))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f84,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK2_skl)|element(sK6_skl(X0),the_carrier(sK1_skl)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f85,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK2_skl)|sK4_skl=topstr_closure(sK0_skl,sK5_skl(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f86,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK2_skl)|X0=sK6_skl(X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f87,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK2_skl)|sK5_skl(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(X0))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(X0)))))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f88,plain,(
% 8.19/1.45    ![X0,X1,X2]: (in(X0,sK2_skl)|~in(X0,the_carrier(sK1_skl))|~netstr_induced_subset(X1,sK0_skl,sK1_skl)|~element(X2,the_carrier(sK1_skl))|~sK4_skl=topstr_closure(sK0_skl,X1)|~X0=X2|~X1=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,X2)),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,X2))))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f89,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK3_skl)|in(X0,the_carrier(sK1_skl)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f90,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK3_skl)|netstr_induced_subset(sK7_skl(X0),sK0_skl,sK1_skl))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f91,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK3_skl)|element(sK8_skl(X0),the_carrier(sK1_skl)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f92,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK3_skl)|sK4_skl=topstr_closure(sK0_skl,sK7_skl(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f93,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK3_skl)|X0=sK8_skl(X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f94,plain,(
% 8.19/1.45    ![X0]: (~in(X0,sK3_skl)|sK7_skl(X0)=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(X0))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(X0)))))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f95,plain,(
% 8.19/1.45    ![X0,X1,X2]: (in(X0,sK3_skl)|~in(X0,the_carrier(sK1_skl))|~netstr_induced_subset(X1,sK0_skl,sK1_skl)|~element(X2,the_carrier(sK1_skl))|~sK4_skl=topstr_closure(sK0_skl,X1)|~X0=X2|~X1=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,X2)),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,X2))))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f96,plain,(
% 8.19/1.45    ~sK2_skl=sK3_skl),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f74])).
% 8.19/1.45  fof(f97,plain,(
% 8.19/1.45    ![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))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f3])).
% 8.19/1.45  fof(f98,plain,(
% 8.19/1.45    ![A]: (~top_str(A)|(((((((element(sK9_skl(A),powerset(the_carrier(A)))&empty(sK9_skl(A)))&v1_membered(sK9_skl(A)))&v2_membered(sK9_skl(A)))&v3_membered(sK9_skl(A)))&v4_membered(sK9_skl(A)))&v5_membered(sK9_skl(A)))&boundary_set(sK9_skl(A),A)))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(B,sK9_skl(A))],[f97])).
% 8.19/1.45  fof(f99,plain,(
% 8.19/1.45    ![X0]: (~top_str(X0)|element(sK9_skl(X0),powerset(the_carrier(X0))))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f98])).
% 8.19/1.45  fof(f100,plain,(
% 8.19/1.45    ![X0]: (~top_str(X0)|empty(sK9_skl(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f98])).
% 8.19/1.45  fof(f106,plain,(
% 8.19/1.45    ![X0]: (~top_str(X0)|boundary_set(sK9_skl(X0),X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f98])).
% 8.19/1.45  fof(f107,plain,(
% 8.19/1.45    ![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))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f4])).
% 8.19/1.45  fof(f108,plain,(
% 8.19/1.45    ![A]: ((~topological_space(A)|~top_str(A))|((((((((((element(sK10_skl(A),powerset(the_carrier(A)))&empty(sK10_skl(A)))&open_subset(sK10_skl(A),A))&closed_subset(sK10_skl(A),A))&v1_membered(sK10_skl(A)))&v2_membered(sK10_skl(A)))&v3_membered(sK10_skl(A)))&v4_membered(sK10_skl(A)))&v5_membered(sK10_skl(A)))&boundary_set(sK10_skl(A),A))&nowhere_dense(sK10_skl(A),A)))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(B,sK10_skl(A))],[f107])).
% 8.19/1.45  fof(f109,plain,(
% 8.19/1.45    ![X0]: (~topological_space(X0)|~top_str(X0)|element(sK10_skl(X0),powerset(the_carrier(X0))))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f108])).
% 8.19/1.45  fof(f110,plain,(
% 8.19/1.45    ![X0]: (~topological_space(X0)|~top_str(X0)|empty(sK10_skl(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f108])).
% 8.19/1.45  fof(f111,plain,(
% 8.19/1.45    ![X0]: (~topological_space(X0)|~top_str(X0)|open_subset(sK10_skl(X0),X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f108])).
% 8.19/1.45  fof(f118,plain,(
% 8.19/1.45    ![X0]: (~topological_space(X0)|~top_str(X0)|boundary_set(sK10_skl(X0),X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f108])).
% 8.19/1.45  fof(f119,plain,(
% 8.19/1.45    ![X0]: (~topological_space(X0)|~top_str(X0)|nowhere_dense(sK10_skl(X0),X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f108])).
% 8.19/1.45  fof(f120,plain,(
% 8.19/1.45    (~empty(sK11_skl)&finite(sK11_skl))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(A,sK11_skl)],[f5])).
% 8.19/1.45  fof(f121,plain,(
% 8.19/1.45    ~empty(sK11_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f120])).
% 8.19/1.45  fof(f122,plain,(
% 8.19/1.45    finite(sK11_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f120])).
% 8.19/1.45  fof(f123,plain,(
% 8.19/1.45    ![A]: (empty(A)|(?[B]: ((element(B,powerset(A))&~empty(B))&finite(B))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f6])).
% 8.19/1.45  fof(f124,plain,(
% 8.19/1.45    ![A]: (empty(A)|((element(sK12_skl(A),powerset(A))&~empty(sK12_skl(A)))&finite(sK12_skl(A))))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(B,sK12_skl(A))],[f123])).
% 8.19/1.45  fof(f125,plain,(
% 8.19/1.45    ![X0]: (empty(X0)|element(sK12_skl(X0),powerset(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f124])).
% 8.19/1.45  fof(f128,plain,(
% 8.19/1.45    ![A]: (~finite(A)|(![B]: (~element(B,powerset(A))|finite(B))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f7])).
% 8.19/1.45  fof(f129,plain,(
% 8.19/1.45    ![X0,X1]: (~finite(X0)|~element(X1,powerset(X0))|finite(X1))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f128])).
% 8.19/1.45  fof(f132,plain,(
% 8.19/1.45    ![A]: (empty(A)|(?[B]: ((element(B,powerset(A))&~empty(B))&finite(B))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f9])).
% 8.19/1.45  fof(f133,plain,(
% 8.19/1.45    ![A]: (empty(A)|((element(sK13_skl(A),powerset(A))&~empty(sK13_skl(A)))&finite(sK13_skl(A))))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(B,sK13_skl(A))],[f132])).
% 8.19/1.45  fof(f134,plain,(
% 8.19/1.45    ![X0]: (empty(X0)|element(sK13_skl(X0),powerset(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f133])).
% 8.19/1.45  fof(f152,plain,(
% 8.19/1.45    ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~nowhere_dense(B,A)|boundary_set(B,A)))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f13])).
% 8.19/1.45  fof(f153,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~nowhere_dense(X1,X0)|boundary_set(X1,X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f152])).
% 8.19/1.45  fof(f154,plain,(
% 8.19/1.45    ![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))))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f14])).
% 8.19/1.45  fof(f156,plain,(
% 8.19/1.45    ![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))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f154])).
% 8.19/1.45  fof(f157,plain,(
% 8.19/1.45    ![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))))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 8.19/1.45  fof(f158,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|empty(X1))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f157])).
% 8.19/1.45  fof(f160,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|closed_subset(X1,X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f157])).
% 8.19/1.45  fof(f161,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v1_membered(X1))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f157])).
% 8.19/1.45  fof(f162,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v2_membered(X1))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f157])).
% 8.19/1.45  fof(f163,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v3_membered(X1))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f157])).
% 8.19/1.45  fof(f164,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v4_membered(X1))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f157])).
% 8.19/1.45  fof(f165,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v5_membered(X1))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f157])).
% 8.19/1.45  fof(f172,plain,(
% 8.19/1.45    ![A]: (~one_sorted_str(A)|(?[B]: ((element(B,powerset(powerset(the_carrier(A))))&~empty(B))&finite(B))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f17])).
% 8.19/1.45  fof(f173,plain,(
% 8.19/1.45    ![A]: (~one_sorted_str(A)|((element(sK18_skl(A),powerset(powerset(the_carrier(A))))&~empty(sK18_skl(A)))&finite(sK18_skl(A))))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl]),skolemize(B,sK18_skl(A))],[f172])).
% 8.19/1.45  fof(f175,plain,(
% 8.19/1.45    ![X0]: (~one_sorted_str(X0)|~empty(sK18_skl(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f173])).
% 8.19/1.45  fof(f176,plain,(
% 8.19/1.45    ![X0]: (~one_sorted_str(X0)|finite(sK18_skl(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f173])).
% 8.19/1.45  fof(f185,plain,(
% 8.19/1.45    ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f21])).
% 8.19/1.45  fof(f186,plain,(
% 8.19/1.45    ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f185])).
% 8.19/1.45  fof(f187,plain,(
% 8.19/1.45    ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f22])).
% 8.19/1.45  fof(f188,plain,(
% 8.19/1.45    ![A]: (empty(A)|(element(sK19_skl(A),powerset(A))&~empty(sK19_skl(A))))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl]),skolemize(B,sK19_skl(A))],[f187])).
% 8.19/1.45  fof(f189,plain,(
% 8.19/1.45    ![X0]: (empty(X0)|element(sK19_skl(X0),powerset(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f188])).
% 8.19/1.45  fof(f193,plain,(
% 8.19/1.45    ![A]: (element(sK20_skl(A),powerset(A))&empty(sK20_skl(A)))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl]),skolemize(B,sK20_skl(A))],[f24])).
% 8.19/1.45  fof(f194,plain,(
% 8.19/1.45    ![X0]: (element(sK20_skl(X0),powerset(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f193])).
% 8.19/1.45  fof(f195,plain,(
% 8.19/1.45    ![X0]: (empty(sK20_skl(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f193])).
% 8.19/1.45  fof(f196,plain,(
% 8.19/1.45    ![A]: (~empty(A)|finite(A))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f25])).
% 8.19/1.45  fof(f197,plain,(
% 8.19/1.45    ![X0]: (~empty(X0)|finite(X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f196])).
% 8.19/1.45  fof(f211,plain,(
% 8.19/1.45    ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|(open_subset(B,A)&closed_subset(B,A))))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f29])).
% 8.19/1.45  fof(f212,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|open_subset(X1,X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f211])).
% 8.19/1.45  fof(f213,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|closed_subset(X1,X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f211])).
% 8.19/1.45  fof(f214,plain,(
% 8.19/1.45    ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|boundary_set(B,A)))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f30])).
% 8.19/1.45  fof(f215,plain,(
% 8.19/1.45    ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|boundary_set(X1,X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f214])).
% 8.19/1.45  fof(f216,plain,(
% 8.19/1.45    ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|nowhere_dense(B,A)))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f31])).
% 8.19/1.45  fof(f217,plain,(
% 8.19/1.45    ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|nowhere_dense(X1,X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f216])).
% 8.19/1.45  fof(f224,plain,(
% 8.19/1.45    (empty(sK24_skl)&relation(sK24_skl))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(A,sK24_skl)],[f34])).
% 8.19/1.45  fof(f225,plain,(
% 8.19/1.45    empty(sK24_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f224])).
% 8.19/1.45  fof(f226,plain,(
% 8.19/1.45    relation(sK24_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f224])).
% 8.19/1.45  fof(f232,plain,(
% 8.19/1.45    ![A]: ((empty(A)|~relation(A))|~empty(relation_rng(A)))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f37])).
% 8.19/1.45  fof(f233,plain,(
% 8.19/1.45    ![X0]: (empty(X0)|~relation(X0)|~empty(relation_rng(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f232])).
% 8.19/1.45  fof(f234,plain,(
% 8.19/1.45    ![A]: (~empty(A)|(empty(relation_rng(A))&relation(relation_rng(A))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f38])).
% 8.19/1.45  fof(f235,plain,(
% 8.19/1.45    ![X0]: (~empty(X0)|empty(relation_rng(X0)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f234])).
% 8.19/1.45  fof(f237,plain,(
% 8.19/1.45    ![A,B]: ((~one_sorted_str(A)|~net_str(B,A))|(~strict_net_str(B,A)|B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f39])).
% 8.19/1.45  fof(f238,plain,(
% 8.19/1.45    ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|~strict_net_str(X1,X0)|X1=net_str_of(X0,the_carrier(X1),the_InternalRel(X1),the_mapping(X0,X1)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f237])).
% 8.19/1.45  fof(f239,plain,(
% 8.19/1.45    ![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)))),
% 8.19/1.45    inference(NNF_transformation,[status(thm)],[f40])).
% 8.19/1.45  fof(f240,plain,(
% 8.19/1.45    (![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)))),
% 8.19/1.45    inference(miniscoping,[status(thm)],[f239])).
% 8.19/1.45  fof(f241,plain,(
% 8.19/1.45    ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f240])).
% 8.19/1.45  fof(f243,plain,(
% 8.19/1.45    ![A,B,C]: (((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~net_str(B,A))|~element(C,the_carrier(B)))|(strict_net_str(netstr_restr_to_element(A,B,C),A)&net_str(netstr_restr_to_element(A,B,C),A)))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f43])).
% 8.19/1.45  fof(f244,plain,(
% 8.19/1.45    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|strict_net_str(netstr_restr_to_element(X0,X1,X2),X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f243])).
% 8.19/1.45  fof(f245,plain,(
% 8.19/1.45    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|net_str(netstr_restr_to_element(X0,X1,X2),X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f243])).
% 8.19/1.45  fof(f246,plain,(
% 8.19/1.45    ![A]: (~rel_str(A)|one_sorted_str(A))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f44])).
% 8.19/1.45  fof(f247,plain,(
% 8.19/1.45    ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f246])).
% 8.19/1.45  fof(f250,plain,(
% 8.19/1.45    ![A,B]: ((((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|(![C]: (~subnet(C,A,B)|(((~empty_carrier(C)&transitive_relstr(C))&directed_relstr(C))&net_str(C,A)))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f48])).
% 8.19/1.45  fof(f252,plain,(
% 8.19/1.45    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~subnet(X2,X0,X1)|transitive_relstr(X2))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f250])).
% 8.19/1.45  fof(f253,plain,(
% 8.19/1.45    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~subnet(X2,X0,X1)|directed_relstr(X2))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f250])).
% 8.19/1.45  fof(f254,plain,(
% 8.19/1.45    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~subnet(X2,X0,X1)|net_str(X2,X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f250])).
% 8.19/1.45  fof(f256,plain,(
% 8.19/1.45    (one_sorted_str(sK26_skl)&~empty_carrier(sK26_skl))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(A,sK26_skl)],[f50])).
% 8.19/1.45  fof(f257,plain,(
% 8.19/1.45    one_sorted_str(sK26_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f256])).
% 8.19/1.45  fof(f258,plain,(
% 8.19/1.45    ~empty_carrier(sK26_skl)),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f256])).
% 8.19/1.45  fof(f263,plain,(
% 8.19/1.45    ![A]: (~one_sorted_str(A)|(?[B]: (net_str(B,A)&strict_net_str(B,A))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f53])).
% 8.19/1.45  fof(f264,plain,(
% 8.19/1.45    ![A]: (~one_sorted_str(A)|(net_str(sK27_skl(A),A)&strict_net_str(sK27_skl(A),A)))),
% 8.19/1.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl]),skolemize(B,sK27_skl(A))],[f263])).
% 8.19/1.45  fof(f265,plain,(
% 8.19/1.45    ![X0]: (~one_sorted_str(X0)|net_str(sK27_skl(X0),X0))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f264])).
% 8.19/1.45  fof(f267,plain,(
% 8.19/1.45    ![A,B,C]: ((((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~directed_relstr(B))|~net_str(B,A))|~element(C,the_carrier(B)))|(~empty_carrier(netstr_restr_to_element(A,B,C))&strict_net_str(netstr_restr_to_element(A,B,C),A)))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f54])).
% 8.19/1.45  fof(f268,plain,(
% 8.19/1.45    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|~empty_carrier(netstr_restr_to_element(X0,X1,X2)))),
% 8.19/1.45    inference(cnf_transformation,[status(thm)],[f267])).
% 8.19/1.45  fof(f270,plain,(
% 8.19/1.45    ![A,B,C]: (((((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|~element(C,the_carrier(B)))|(((~empty_carrier(netstr_restr_to_element(A,B,C))&transitive_relstr(netstr_restr_to_element(A,B,C)))&strict_net_str(netstr_restr_to_element(A,B,C),A))&directed_relstr(netstr_restr_to_element(A,B,C))))),
% 8.19/1.45    inference(pre_NNF_transformation,[status(thm)],[f55])).
% 8.19/1.46  fof(f272,plain,(
% 8.19/1.46    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|transitive_relstr(netstr_restr_to_element(X0,X1,X2)))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f270])).
% 8.19/1.46  fof(f274,plain,(
% 8.19/1.46    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|directed_relstr(netstr_restr_to_element(X0,X1,X2)))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f270])).
% 8.19/1.46  fof(f275,plain,(
% 8.19/1.46    ![A,B]: ((((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|(?[C]: ((((subnet(C,A,B)&~empty_carrier(C))&transitive_relstr(C))&strict_net_str(C,A))&directed_relstr(C))))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f56])).
% 8.19/1.46  fof(f276,plain,(
% 8.19/1.46    ![A,B]: ((((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|((((subnet(sK28_skl(B,A),A,B)&~empty_carrier(sK28_skl(B,A)))&transitive_relstr(sK28_skl(B,A)))&strict_net_str(sK28_skl(B,A),A))&directed_relstr(sK28_skl(B,A))))),
% 8.19/1.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK28_skl]),skolemize(C,sK28_skl(B,A))],[f275])).
% 8.19/1.46  fof(f277,plain,(
% 8.19/1.46    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|subnet(sK28_skl(X1,X0),X0,X1))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f276])).
% 8.19/1.46  fof(f278,plain,(
% 8.19/1.46    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~empty_carrier(sK28_skl(X1,X0)))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f276])).
% 8.19/1.46  fof(f279,plain,(
% 8.19/1.46    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|transitive_relstr(sK28_skl(X1,X0)))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f276])).
% 8.19/1.46  fof(f280,plain,(
% 8.19/1.46    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|strict_net_str(sK28_skl(X1,X0),X0))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f276])).
% 8.19/1.46  fof(f281,plain,(
% 8.19/1.46    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|directed_relstr(sK28_skl(X1,X0)))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f276])).
% 8.19/1.46  fof(f287,plain,(
% 8.19/1.46    ![A,B]: (~in(A,B)|~in(B,A))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f58])).
% 8.19/1.46  fof(f288,plain,(
% 8.19/1.46    ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f287])).
% 8.19/1.46  fof(f289,plain,(
% 8.19/1.46    ![A,B,C]: (~relation_of2(C,A,B)|relation_rng_as_subset(A,B,C)=relation_rng(C))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f59])).
% 8.19/1.46  fof(f290,plain,(
% 8.19/1.46    ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|relation_rng_as_subset(X1,X2,X0)=relation_rng(X0))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f289])).
% 8.19/1.46  fof(f291,plain,(
% 8.19/1.46    ![A,B,C]: (((((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|~element(C,the_carrier(B)))|subnetstr_of_element(A,B,C)=netstr_restr_to_element(A,B,C))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f60])).
% 8.19/1.46  fof(f292,plain,(
% 8.19/1.46    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|subnetstr_of_element(X0,X1,X2)=netstr_restr_to_element(X0,X1,X2))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f291])).
% 8.19/1.46  fof(f293,plain,(
% 8.19/1.46    ![A,B,C]: (~relation_of2(C,A,B)|element(relation_rng_as_subset(A,B,C),powerset(B)))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f61])).
% 8.19/1.46  fof(f294,plain,(
% 8.19/1.46    ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|element(relation_rng_as_subset(X1,X2,X0),powerset(X2)))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f293])).
% 8.19/1.46  fof(f297,plain,(
% 8.19/1.46    ![A,B,C]: (((((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|~element(C,the_carrier(B)))|(strict_net_str(subnetstr_of_element(A,B,C),A)&subnet(subnetstr_of_element(A,B,C),A,B)))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f63])).
% 8.19/1.46  fof(f298,plain,(
% 8.19/1.46    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|strict_net_str(subnetstr_of_element(X0,X1,X2),X0))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f297])).
% 8.19/1.46  fof(f299,plain,(
% 8.19/1.46    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|subnet(subnetstr_of_element(X0,X1,X2),X0,X1))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f297])).
% 8.19/1.46  fof(f300,plain,(
% 8.19/1.46    ![A]: (~top_str(A)|one_sorted_str(A))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f64])).
% 8.19/1.46  fof(f301,plain,(
% 8.19/1.46    ![X0]: (~top_str(X0)|one_sorted_str(X0))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f300])).
% 8.19/1.46  fof(f302,plain,(
% 8.19/1.46    ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|rel_str(B))))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f65])).
% 8.19/1.46  fof(f303,plain,(
% 8.19/1.46    ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|rel_str(X1))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f302])).
% 8.19/1.46  fof(f304,plain,(
% 8.19/1.46    ![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))))))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f67])).
% 8.19/1.46  fof(f305,plain,(
% 8.19/1.46    ![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))))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f304])).
% 8.19/1.46  fof(f306,plain,(
% 8.19/1.46    ![A,B]: ((~one_sorted_str(A)|~net_str(B,A))|((function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)))&relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A))))),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f69])).
% 8.19/1.46  fof(f307,plain,(
% 8.19/1.46    ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|function(the_mapping(X0,X1)))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f306])).
% 8.19/1.46  fof(f309,plain,(
% 8.19/1.46    ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)))),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f306])).
% 8.19/1.46  fof(f310,plain,(
% 8.19/1.46    ![A,B]: ((?[C]: (in(C,A)<~>in(C,B)))|A=B)),
% 8.19/1.46    inference(pre_NNF_transformation,[status(thm)],[f70])).
% 8.19/1.46  fof(f311,plain,(
% 8.19/1.46    ![A,B]: ((?[C]: ((in(C,A)|in(C,B))&(~in(C,A)|~in(C,B))))|A=B)),
% 8.19/1.46    inference(NNF_transformation,[status(thm)],[f310])).
% 8.19/1.46  fof(f312,plain,(
% 8.19/1.46    ![A,B]: (((in(sK29_skl(B,A),A)|in(sK29_skl(B,A),B))&(~in(sK29_skl(B,A),A)|~in(sK29_skl(B,A),B)))|A=B)),
% 8.19/1.46    inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl]),skolemize(C,sK29_skl(B,A))],[f311])).
% 8.19/1.46  fof(f313,plain,(
% 8.19/1.46    ![X0,X1]: (in(sK29_skl(X0,X1),X1)|in(sK29_skl(X0,X1),X0)|X1=X0)),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f312])).
% 8.19/1.46  fof(f314,plain,(
% 8.19/1.46    ![X0,X1]: (~in(sK29_skl(X0,X1),X1)|~in(sK29_skl(X0,X1),X0)|X1=X0)),
% 8.19/1.46    inference(cnf_transformation,[status(thm)],[f312])).
% 8.19/1.46  fof(f315,plain,(
% 8.19/1.46    ![X0]: (in(X0,sK2_skl)|~in(X0,the_carrier(sK1_skl))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,X0)),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,X0))),sK0_skl,sK1_skl)|~element(X0,the_carrier(sK1_skl))|~sK4_skl=topstr_closure(sK0_skl,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,X0)),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,X0)))))),
% 8.19/1.46    inference(destructive_equality_resolution,[status(thm)],[f88])).
% 8.19/1.46  fof(f316,plain,(
% 8.19/1.46    ![X0]: (in(X0,sK3_skl)|~in(X0,the_carrier(sK1_skl))|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,X0)),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,X0))),sK0_skl,sK1_skl)|~element(X0,the_carrier(sK1_skl))|~sK4_skl=topstr_closure(sK0_skl,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,X0)),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,X0)))))),
% 8.19/1.46    inference(destructive_equality_resolution,[status(thm)],[f95])).
% 8.19/1.46  fof(f317,plain,(
% 8.19/1.46    ![X0,X1,X2]: (~top_str(X0)|empty_carrier(X0)|empty_carrier(X1)|~net_str(X1,X0)|~netstr_induced_subset(X2,X0,X1)|element(X2,powerset(the_carrier(X0))))),
% 8.19/1.46    inference(resolution,[status(thm)],[f301,f305])).
% 8.19/1.46  fof(f318,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(sK11_skl))|finite(X0))),
% 8.19/1.46    inference(resolution,[status(thm)],[f129,f122])).
% 8.19/1.46  fof(f319,plain,(
% 8.19/1.46    ![X0,X1]: (~element(X0,powerset(sK18_skl(X1)))|finite(X0)|~one_sorted_str(X1))),
% 8.19/1.46    inference(resolution,[status(thm)],[f129,f176])).
% 8.19/1.46  fof(f323,plain,(
% 8.19/1.46    ![X0,X1]: (~element(X0,powerset(X1))|finite(X0)|~empty(X1))),
% 8.19/1.46    inference(resolution,[status(thm)],[f129,f197])).
% 8.19/1.46  fof(f325,plain,(
% 8.19/1.46    ![X0,X1]: (~element(X0,powerset(sK10_skl(X1)))|finite(X0)|~topological_space(X1)|~top_str(X1))),
% 8.19/1.46    inference(resolution,[status(thm)],[f323,f110])).
% 8.19/1.46  fof(f327,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~nowhere_dense(X0,sK0_skl)|boundary_set(X0,sK0_skl))),
% 8.19/1.46    inference(resolution,[status(thm)],[f153,f76])).
% 8.19/1.46  fof(f328,definition,(
% 8.19/1.46    sQ0_spl <=> (top_str(sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f330,plain,(
% 8.19/1.46    ~top_str(sK0_skl)|sQ0_spl),
% 8.19/1.46    inference(component_clause,[status(thm)],[f328])).
% 8.19/1.46  fof(f331,definition,(
% 8.19/1.46    ![X0]: (sQ1_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~nowhere_dense(X0,sK0_skl)|boundary_set(X0,sK0_skl)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f332,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~nowhere_dense(X0,sK0_skl)|boundary_set(X0,sK0_skl)|~sQ1_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f331])).
% 8.19/1.46  fof(f334,plain,(
% 8.19/1.46    ~sQ0_spl|sQ1_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f327,f328,f331])).
% 8.19/1.46  fof(f335,plain,(
% 8.19/1.46    $false|sQ0_spl),
% 8.19/1.46    inference(forward_subsumption_resolution,[status(thm)],[f330,f77])).
% 8.19/1.46  fof(f336,plain,(
% 8.19/1.46    sQ0_spl),
% 8.19/1.46    inference(contradiction_clause,[status(thm)],[f335])).
% 8.19/1.46  fof(f337,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~closed_subset(X0,sK0_skl)|~boundary_set(X0,sK0_skl)|nowhere_dense(X0,sK0_skl))),
% 8.19/1.46    inference(resolution,[status(thm)],[f156,f76])).
% 8.19/1.46  fof(f338,definition,(
% 8.19/1.46    ![X0]: (sQ2_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~closed_subset(X0,sK0_skl)|~boundary_set(X0,sK0_skl)|nowhere_dense(X0,sK0_skl)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f339,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~closed_subset(X0,sK0_skl)|~boundary_set(X0,sK0_skl)|nowhere_dense(X0,sK0_skl)|~sQ2_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f338])).
% 8.19/1.46  fof(f341,plain,(
% 8.19/1.46    ~sQ0_spl|sQ2_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f337,f328,f338])).
% 8.19/1.46  fof(f342,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|empty(X0))),
% 8.19/1.46    inference(resolution,[status(thm)],[f158,f76])).
% 8.19/1.46  fof(f343,definition,(
% 8.19/1.46    ![X0]: (sQ3_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|empty(X0)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f344,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|empty(X0)|~sQ3_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f343])).
% 8.19/1.46  fof(f346,plain,(
% 8.19/1.46    ~sQ0_spl|sQ3_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f342,f328,f343])).
% 8.19/1.46  fof(f347,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|closed_subset(X0,sK0_skl))),
% 8.19/1.46    inference(resolution,[status(thm)],[f160,f76])).
% 8.19/1.46  fof(f348,definition,(
% 8.19/1.46    ![X0]: (sQ4_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|closed_subset(X0,sK0_skl)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f349,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|closed_subset(X0,sK0_skl)|~sQ4_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f348])).
% 8.19/1.46  fof(f351,plain,(
% 8.19/1.46    ~sQ0_spl|sQ4_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f347,f328,f348])).
% 8.19/1.46  fof(f352,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v1_membered(X0))),
% 8.19/1.46    inference(resolution,[status(thm)],[f161,f76])).
% 8.19/1.46  fof(f353,definition,(
% 8.19/1.46    ![X0]: (sQ5_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v1_membered(X0)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f354,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v1_membered(X0)|~sQ5_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f353])).
% 8.19/1.46  fof(f356,plain,(
% 8.19/1.46    ~sQ0_spl|sQ5_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f352,f328,f353])).
% 8.19/1.46  fof(f357,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v2_membered(X0))),
% 8.19/1.46    inference(resolution,[status(thm)],[f162,f76])).
% 8.19/1.46  fof(f358,definition,(
% 8.19/1.46    ![X0]: (sQ6_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v2_membered(X0)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f359,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v2_membered(X0)|~sQ6_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f358])).
% 8.19/1.46  fof(f361,plain,(
% 8.19/1.46    ~sQ0_spl|sQ6_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f357,f328,f358])).
% 8.19/1.46  fof(f363,definition,(
% 8.19/1.46    sQ7_spl <=> (element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl))))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f365,plain,(
% 8.19/1.46    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|sQ7_spl),
% 8.19/1.46    inference(component_clause,[status(thm)],[f363])).
% 8.19/1.46  fof(f366,definition,(
% 8.19/1.46    sQ8_spl <=> (boundary_set(sK10_skl(sK0_skl),sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f369,definition,(
% 8.19/1.46    sQ9_spl <=> (topological_space(sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f371,plain,(
% 8.19/1.46    ~topological_space(sK0_skl)|sQ9_spl),
% 8.19/1.46    inference(component_clause,[status(thm)],[f369])).
% 8.19/1.46  fof(f373,plain,(
% 8.19/1.46    $false|sQ9_spl),
% 8.19/1.46    inference(forward_subsumption_resolution,[status(thm)],[f371,f76])).
% 8.19/1.46  fof(f374,plain,(
% 8.19/1.46    sQ9_spl),
% 8.19/1.46    inference(contradiction_clause,[status(thm)],[f373])).
% 8.19/1.46  fof(f375,plain,(
% 8.19/1.46    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~closed_subset(sK10_skl(sK0_skl),sK0_skl)|nowhere_dense(sK10_skl(sK0_skl),sK0_skl)|~topological_space(sK0_skl)|~top_str(sK0_skl)|~sQ2_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f339,f118])).
% 8.19/1.46  fof(f376,plain,(
% 8.19/1.46    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~closed_subset(sK9_skl(sK0_skl),sK0_skl)|nowhere_dense(sK9_skl(sK0_skl),sK0_skl)|~top_str(sK0_skl)|~sQ2_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f339,f106])).
% 8.19/1.46  fof(f377,definition,(
% 8.19/1.46    sQ10_spl <=> (closed_subset(sK10_skl(sK0_skl),sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f380,definition,(
% 8.19/1.46    sQ11_spl <=> (nowhere_dense(sK10_skl(sK0_skl),sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f381,plain,(
% 8.19/1.46    nowhere_dense(sK10_skl(sK0_skl),sK0_skl)|~sQ11_spl),
% 8.19/1.46    inference(component_clause,[status(thm)],[f380])).
% 8.19/1.46  fof(f383,plain,(
% 8.19/1.46    ~sQ7_spl|~sQ10_spl|sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ2_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f375,f363,f377,f380,f369,f328,f338])).
% 8.19/1.46  fof(f384,definition,(
% 8.19/1.46    sQ12_spl <=> (element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl))))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f386,plain,(
% 8.19/1.46    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|sQ12_spl),
% 8.19/1.46    inference(component_clause,[status(thm)],[f384])).
% 8.19/1.46  fof(f387,definition,(
% 8.19/1.46    sQ13_spl <=> (closed_subset(sK9_skl(sK0_skl),sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f390,definition,(
% 8.19/1.46    sQ14_spl <=> (nowhere_dense(sK9_skl(sK0_skl),sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f391,plain,(
% 8.19/1.46    nowhere_dense(sK9_skl(sK0_skl),sK0_skl)|~sQ14_spl),
% 8.19/1.46    inference(component_clause,[status(thm)],[f390])).
% 8.19/1.46  fof(f393,plain,(
% 8.19/1.46    ~sQ12_spl|~sQ13_spl|sQ14_spl|~sQ0_spl|~sQ2_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f376,f384,f387,f390,f328,f338])).
% 8.19/1.46  fof(f394,plain,(
% 8.19/1.46    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK10_skl(sK0_skl),sK0_skl)|empty(sK10_skl(sK0_skl))|~topological_space(sK0_skl)|~top_str(sK0_skl)|~sQ3_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f344,f119])).
% 8.19/1.46  fof(f395,definition,(
% 8.19/1.46    sQ15_spl <=> (open_subset(sK10_skl(sK0_skl),sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f397,plain,(
% 8.19/1.46    ~open_subset(sK10_skl(sK0_skl),sK0_skl)|sQ15_spl),
% 8.19/1.46    inference(component_clause,[status(thm)],[f395])).
% 8.19/1.46  fof(f398,definition,(
% 8.19/1.46    sQ16_spl <=> (empty(sK10_skl(sK0_skl)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f401,plain,(
% 8.19/1.46    ~sQ7_spl|~sQ15_spl|sQ16_spl|~sQ9_spl|~sQ0_spl|~sQ3_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f394,f363,f395,f398,f369,f328,f343])).
% 8.19/1.46  fof(f402,plain,(
% 8.19/1.46    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK9_skl(sK0_skl),sK0_skl)|empty(sK9_skl(sK0_skl))|~sQ14_spl|~sQ3_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f391,f344])).
% 8.19/1.46  fof(f404,definition,(
% 8.19/1.46    sQ17_spl <=> (open_subset(sK9_skl(sK0_skl),sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f407,definition,(
% 8.19/1.46    sQ18_spl <=> (empty(sK9_skl(sK0_skl)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f410,plain,(
% 8.19/1.46    ~sQ12_spl|~sQ17_spl|sQ18_spl|~sQ14_spl|~sQ3_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f402,f384,f404,f407,f390,f343])).
% 8.19/1.46  fof(f411,definition,(
% 8.19/1.46    sQ19_spl <=> (boundary_set(sK9_skl(sK0_skl),sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f415,plain,(
% 8.19/1.46    ~topological_space(sK0_skl)|~top_str(sK0_skl)|sQ7_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f365,f109])).
% 8.19/1.46  fof(f417,plain,(
% 8.19/1.46    ~sQ9_spl|~sQ0_spl|sQ7_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f415,f369,f328,f363])).
% 8.19/1.46  fof(f418,definition,(
% 8.19/1.46    sQ20_spl <=> (empty_carrier(sK0_skl))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f419,plain,(
% 8.19/1.46    empty_carrier(sK0_skl)|~sQ20_spl),
% 8.19/1.46    inference(component_clause,[status(thm)],[f418])).
% 8.19/1.46  fof(f425,plain,(
% 8.19/1.46    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK10_skl(sK0_skl),sK0_skl)|closed_subset(sK10_skl(sK0_skl),sK0_skl)|~topological_space(sK0_skl)|~top_str(sK0_skl)|~sQ4_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f349,f119])).
% 8.19/1.46  fof(f426,plain,(
% 8.19/1.46    ~sQ7_spl|~sQ15_spl|sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ4_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f425,f363,f395,f377,f369,f328,f348])).
% 8.19/1.46  fof(f428,definition,(
% 8.19/1.46    sQ22_spl <=> (v1_membered(sK10_skl(sK0_skl)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f433,definition,(
% 8.19/1.46    sQ23_spl <=> (v2_membered(sK10_skl(sK0_skl)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f437,plain,(
% 8.19/1.46    ~top_str(sK0_skl)|sQ12_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f386,f99])).
% 8.19/1.46  fof(f439,plain,(
% 8.19/1.46    ~sQ0_spl|sQ12_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f437,f328,f384])).
% 8.19/1.46  fof(f444,plain,(
% 8.19/1.46    $false|~sQ20_spl),
% 8.19/1.46    inference(forward_subsumption_resolution,[status(thm)],[f419,f75])).
% 8.19/1.46  fof(f445,plain,(
% 8.19/1.46    ~sQ20_spl),
% 8.19/1.46    inference(contradiction_clause,[status(thm)],[f444])).
% 8.19/1.46  fof(f448,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v3_membered(X0))),
% 8.19/1.46    inference(resolution,[status(thm)],[f163,f76])).
% 8.19/1.46  fof(f449,definition,(
% 8.19/1.46    ![X0]: (sQ25_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v3_membered(X0)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f450,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v3_membered(X0)|~sQ25_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f449])).
% 8.19/1.46  fof(f452,plain,(
% 8.19/1.46    ~sQ0_spl|sQ25_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f448,f328,f449])).
% 8.19/1.46  fof(f453,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v4_membered(X0))),
% 8.19/1.46    inference(resolution,[status(thm)],[f164,f76])).
% 8.19/1.46  fof(f454,definition,(
% 8.19/1.46    ![X0]: (sQ26_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v4_membered(X0)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f455,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v4_membered(X0)|~sQ26_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f454])).
% 8.19/1.46  fof(f457,plain,(
% 8.19/1.46    ~sQ0_spl|sQ26_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f453,f328,f454])).
% 8.19/1.46  fof(f458,plain,(
% 8.19/1.46    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v5_membered(X0))),
% 8.19/1.46    inference(resolution,[status(thm)],[f165,f76])).
% 8.19/1.46  fof(f459,definition,(
% 8.19/1.46    ![X0]: (sQ27_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v5_membered(X0)))),
% 8.19/1.46    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 8.19/1.46  fof(f460,plain,(
% 8.19/1.46    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~open_subset(X0,sK0_skl)|~nowhere_dense(X0,sK0_skl)|v5_membered(X0)|~sQ27_spl)),
% 8.19/1.46    inference(component_clause,[status(thm)],[f459])).
% 8.19/1.46  fof(f462,plain,(
% 8.19/1.46    ~sQ0_spl|sQ27_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f458,f328,f459])).
% 8.19/1.46  fof(f463,plain,(
% 8.19/1.46    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK10_skl(sK0_skl),sK0_skl)|v2_membered(sK10_skl(sK0_skl))|~sQ11_spl|~sQ6_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f381,f359])).
% 8.19/1.46  fof(f464,plain,(
% 8.19/1.46    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK10_skl(sK0_skl),sK0_skl)|v1_membered(sK10_skl(sK0_skl))|~sQ11_spl|~sQ5_spl),
% 8.19/1.46    inference(resolution,[status(thm)],[f381,f354])).
% 8.19/1.46  fof(f468,plain,(
% 8.19/1.46    ~sQ7_spl|~sQ15_spl|sQ23_spl|~sQ11_spl|~sQ6_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f463,f363,f395,f433,f380,f358])).
% 8.19/1.46  fof(f469,plain,(
% 8.19/1.46    ~sQ7_spl|~sQ15_spl|sQ22_spl|~sQ11_spl|~sQ5_spl),
% 8.19/1.46    inference(split_clause,[status(thm)],[f464,f363,f395,f428,f380,f353])).
% 8.19/1.47  fof(f473,plain,(
% 8.19/1.47    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK10_skl(sK0_skl),sK0_skl)|v3_membered(sK10_skl(sK0_skl))|~sQ25_spl|~sQ11_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f450,f381])).
% 8.19/1.47  fof(f475,definition,(
% 8.19/1.47    sQ28_spl <=> (v3_membered(sK10_skl(sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f478,plain,(
% 8.19/1.47    ~sQ7_spl|~sQ15_spl|sQ28_spl|~sQ25_spl|~sQ11_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f473,f363,f395,f475,f449,f380])).
% 8.19/1.47  fof(f480,plain,(
% 8.19/1.47    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK10_skl(sK0_skl),sK0_skl)|v4_membered(sK10_skl(sK0_skl))|~sQ26_spl|~sQ11_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f455,f381])).
% 8.19/1.47  fof(f482,definition,(
% 8.19/1.47    sQ29_spl <=> (v4_membered(sK10_skl(sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f485,plain,(
% 8.19/1.47    ~sQ7_spl|~sQ15_spl|sQ29_spl|~sQ26_spl|~sQ11_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f480,f363,f395,f482,f454,f380])).
% 8.19/1.47  fof(f487,plain,(
% 8.19/1.47    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK10_skl(sK0_skl),sK0_skl)|v5_membered(sK10_skl(sK0_skl))|~sQ27_spl|~sQ11_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f460,f381])).
% 8.19/1.47  fof(f489,definition,(
% 8.19/1.47    sQ30_spl <=> (v5_membered(sK10_skl(sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f492,plain,(
% 8.19/1.47    ~sQ7_spl|~sQ15_spl|sQ30_spl|~sQ27_spl|~sQ11_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f487,f363,f395,f489,f459,f380])).
% 8.19/1.47  fof(f494,plain,(
% 8.19/1.47    ~topological_space(sK0_skl)|~top_str(sK0_skl)|sQ15_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f397,f111])).
% 8.19/1.47  fof(f495,plain,(
% 8.19/1.47    ~sQ9_spl|~sQ0_spl|sQ15_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f494,f369,f328,f395])).
% 8.19/1.47  fof(f527,plain,(
% 8.19/1.47    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|boundary_set(X0,sK0_skl))),
% 8.19/1.47    inference(resolution,[status(thm)],[f215,f77])).
% 8.19/1.47  fof(f528,plain,(
% 8.19/1.47    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|closed_subset(X0,sK0_skl))),
% 8.19/1.47    inference(resolution,[status(thm)],[f213,f76])).
% 8.19/1.47  fof(f529,definition,(
% 8.19/1.47    ![X0]: (sQ35_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|closed_subset(X0,sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f530,plain,(
% 8.19/1.47    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|closed_subset(X0,sK0_skl)|~sQ35_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f529])).
% 8.19/1.47  fof(f532,plain,(
% 8.19/1.47    ~sQ0_spl|sQ35_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f528,f328,f529])).
% 8.19/1.47  fof(f544,plain,(
% 8.19/1.47    ![X0]: (~element(sK20_skl(X0),powerset(the_carrier(sK0_skl)))|boundary_set(sK20_skl(X0),sK0_skl))),
% 8.19/1.47    inference(resolution,[status(thm)],[f527,f195])).
% 8.19/1.47  fof(f546,plain,(
% 8.19/1.47    ![X0]: (~element(sK10_skl(X0),powerset(the_carrier(sK0_skl)))|boundary_set(sK10_skl(X0),sK0_skl)|~topological_space(X0)|~top_str(X0))),
% 8.19/1.47    inference(resolution,[status(thm)],[f527,f110])).
% 8.19/1.47  fof(f548,plain,(
% 8.19/1.47    ![X0]: (~element(sK9_skl(X0),powerset(the_carrier(sK0_skl)))|boundary_set(sK9_skl(X0),sK0_skl)|~top_str(X0))),
% 8.19/1.47    inference(resolution,[status(thm)],[f527,f100])).
% 8.19/1.47  fof(f551,plain,(
% 8.19/1.47    ![X0]: (~element(sK20_skl(X0),powerset(the_carrier(sK0_skl)))|closed_subset(sK20_skl(X0),sK0_skl)|~sQ35_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f530,f195])).
% 8.19/1.47  fof(f554,plain,(
% 8.19/1.47    ![X0]: (~element(sK9_skl(X0),powerset(the_carrier(sK0_skl)))|closed_subset(sK9_skl(X0),sK0_skl)|~top_str(X0)|~sQ35_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f530,f100])).
% 8.19/1.47  fof(f556,plain,(
% 8.19/1.47    boundary_set(sK20_skl(the_carrier(sK0_skl)),sK0_skl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f544,f194])).
% 8.19/1.47  fof(f557,plain,(
% 8.19/1.47    ![X0,X1]: (boundary_set(sK20_skl(X0),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(sK20_skl(X0),sK0_skl,X1))),
% 8.19/1.47    inference(resolution,[status(thm)],[f544,f317])).
% 8.19/1.47  fof(f558,definition,(
% 8.19/1.47    ![X0,X1]: (sQ38_spl <=> (boundary_set(sK20_skl(X0),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(sK20_skl(X0),sK0_skl,X1)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f561,plain,(
% 8.19/1.47    sQ38_spl|~sQ0_spl|sQ20_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f557,f558,f328,f418])).
% 8.19/1.47  fof(f562,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|~closed_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|nowhere_dense(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|~sQ2_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f556,f339])).
% 8.19/1.47  fof(f563,definition,(
% 8.19/1.47    sQ39_spl <=> (element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f565,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|sQ39_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f563])).
% 8.19/1.47  fof(f566,definition,(
% 8.19/1.47    sQ40_spl <=> (closed_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f568,plain,(
% 8.19/1.47    ~closed_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|sQ40_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f566])).
% 8.19/1.47  fof(f569,definition,(
% 8.19/1.47    sQ41_spl <=> (nowhere_dense(sK20_skl(the_carrier(sK0_skl)),sK0_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f570,plain,(
% 8.19/1.47    nowhere_dense(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|~sQ41_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f569])).
% 8.19/1.47  fof(f572,plain,(
% 8.19/1.47    ~sQ39_spl|~sQ40_spl|sQ41_spl|~sQ2_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f562,f563,f566,f569,f338])).
% 8.19/1.47  fof(f573,plain,(
% 8.19/1.47    $false|sQ39_spl),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f565,f194])).
% 8.19/1.47  fof(f574,plain,(
% 8.19/1.47    sQ39_spl),
% 8.19/1.47    inference(contradiction_clause,[status(thm)],[f573])).
% 8.19/1.47  fof(f575,plain,(
% 8.19/1.47    ~element(sK10_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|boundary_set(sK10_skl(sK0_skl),sK0_skl)|~top_str(sK0_skl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f546,f76])).
% 8.19/1.47  fof(f576,plain,(
% 8.19/1.47    ~sQ7_spl|sQ8_spl|~sQ0_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f575,f363,f366,f328])).
% 8.19/1.47  fof(f577,plain,(
% 8.19/1.47    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|boundary_set(sK9_skl(sK0_skl),sK0_skl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f548,f77])).
% 8.19/1.47  fof(f578,plain,(
% 8.19/1.47    ~sQ12_spl|sQ19_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f577,f384,f411])).
% 8.19/1.47  fof(f579,plain,(
% 8.19/1.47    closed_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|~sQ35_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f551,f194])).
% 8.19/1.47  fof(f580,plain,(
% 8.19/1.47    ![X0,X1]: (closed_subset(sK20_skl(X0),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(sK20_skl(X0),sK0_skl,X1)|~sQ35_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f551,f317])).
% 8.19/1.47  fof(f581,plain,(
% 8.19/1.47    $false|sQ40_spl|~sQ35_spl),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f579,f568])).
% 8.19/1.47  fof(f582,plain,(
% 8.19/1.47    sQ40_spl|~sQ35_spl),
% 8.19/1.47    inference(contradiction_clause,[status(thm)],[f581])).
% 8.19/1.47  fof(f583,definition,(
% 8.19/1.47    ![X0,X1]: (sQ42_spl <=> (closed_subset(sK20_skl(X0),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(sK20_skl(X0),sK0_skl,X1)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f586,plain,(
% 8.19/1.47    sQ42_spl|~sQ0_spl|sQ20_spl|~sQ35_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f580,f583,f328,f418,f529])).
% 8.19/1.47  fof(f589,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|subnetstr_of_element(X0,sK1_skl,X1)=netstr_restr_to_element(X0,sK1_skl,X1))),
% 8.19/1.47    inference(resolution,[status(thm)],[f292,f79])).
% 8.19/1.47  fof(f591,definition,(
% 8.19/1.47    ![X0,X1]: (sQ43_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|subnetstr_of_element(X0,sK1_skl,X1)=netstr_restr_to_element(X0,sK1_skl,X1)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f592,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|subnetstr_of_element(X0,sK1_skl,X1)=netstr_restr_to_element(X0,sK1_skl,X1)|~sQ43_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f591])).
% 8.19/1.47  fof(f594,definition,(
% 8.19/1.47    sQ44_spl <=> (empty_carrier(sK1_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f595,plain,(
% 8.19/1.47    empty_carrier(sK1_skl)|~sQ44_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f594])).
% 8.19/1.47  fof(f597,definition,(
% 8.19/1.47    sQ45_spl <=> (directed_relstr(sK1_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f599,plain,(
% 8.19/1.47    ~directed_relstr(sK1_skl)|sQ45_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f597])).
% 8.19/1.47  fof(f600,plain,(
% 8.19/1.47    sQ43_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f589,f591,f594,f597])).
% 8.19/1.47  fof(f601,definition,(
% 8.19/1.47    sQ46_spl <=> (transitive_relstr(sK1_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f603,plain,(
% 8.19/1.47    ~transitive_relstr(sK1_skl)|sQ46_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f601])).
% 8.19/1.47  fof(f605,plain,(
% 8.19/1.47    $false|~sQ44_spl),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f595,f78])).
% 8.19/1.47  fof(f606,plain,(
% 8.19/1.47    ~sQ44_spl),
% 8.19/1.47    inference(contradiction_clause,[status(thm)],[f605])).
% 8.19/1.47  fof(f607,plain,(
% 8.19/1.47    $false|sQ46_spl),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f603,f79])).
% 8.19/1.47  fof(f608,plain,(
% 8.19/1.47    sQ46_spl),
% 8.19/1.47    inference(contradiction_clause,[status(thm)],[f607])).
% 8.19/1.47  fof(f609,plain,(
% 8.19/1.47    $false|sQ45_spl),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f599,f80])).
% 8.19/1.47  fof(f610,plain,(
% 8.19/1.47    sQ45_spl),
% 8.19/1.47    inference(contradiction_clause,[status(thm)],[f609])).
% 8.19/1.47  fof(f625,plain,(
% 8.19/1.47    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|open_subset(X0,sK0_skl))),
% 8.19/1.47    inference(resolution,[status(thm)],[f212,f76])).
% 8.19/1.47  fof(f626,definition,(
% 8.19/1.47    ![X0]: (sQ50_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|open_subset(X0,sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f627,plain,(
% 8.19/1.47    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|open_subset(X0,sK0_skl)|~sQ50_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f626])).
% 8.19/1.47  fof(f629,plain,(
% 8.19/1.47    ~sQ0_spl|sQ50_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f625,f328,f626])).
% 8.19/1.47  fof(f630,plain,(
% 8.19/1.47    ![X0]: (~top_str(sK0_skl)|~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|nowhere_dense(X0,sK0_skl))),
% 8.19/1.47    inference(resolution,[status(thm)],[f217,f76])).
% 8.19/1.47  fof(f631,definition,(
% 8.19/1.47    ![X0]: (sQ51_spl <=> (~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|nowhere_dense(X0,sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f632,plain,(
% 8.19/1.47    ![X0]: (~element(X0,powerset(the_carrier(sK0_skl)))|~empty(X0)|nowhere_dense(X0,sK0_skl)|~sQ51_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f631])).
% 8.19/1.47  fof(f634,plain,(
% 8.19/1.47    ~sQ0_spl|sQ51_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f630,f328,f631])).
% 8.19/1.47  fof(f640,plain,(
% 8.19/1.47    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~element(X0,the_carrier(sK1_skl))|subnetstr_of_element(sK0_skl,sK1_skl,X0)=netstr_restr_to_element(sK0_skl,sK1_skl,X0)|~sQ43_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f592,f81])).
% 8.19/1.47  fof(f641,definition,(
% 8.19/1.47    sQ53_spl <=> (one_sorted_str(sK0_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f642,plain,(
% 8.19/1.47    one_sorted_str(sK0_skl)|~sQ53_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f641])).
% 8.19/1.47  fof(f643,plain,(
% 8.19/1.47    ~one_sorted_str(sK0_skl)|sQ53_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f641])).
% 8.19/1.47  fof(f644,definition,(
% 8.19/1.47    ![X0]: (sQ54_spl <=> (~element(X0,the_carrier(sK1_skl))|subnetstr_of_element(sK0_skl,sK1_skl,X0)=netstr_restr_to_element(sK0_skl,sK1_skl,X0)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f647,plain,(
% 8.19/1.47    sQ20_spl|~sQ53_spl|sQ54_spl|~sQ43_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f640,f418,f641,f644,f591])).
% 8.19/1.47  fof(f649,plain,(
% 8.19/1.47    ![X0]: (~element(sK20_skl(X0),powerset(the_carrier(sK0_skl)))|open_subset(sK20_skl(X0),sK0_skl)|~sQ50_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f627,f195])).
% 8.19/1.47  fof(f652,plain,(
% 8.19/1.47    ![X0]: (~element(sK9_skl(X0),powerset(the_carrier(sK0_skl)))|open_subset(sK9_skl(X0),sK0_skl)|~top_str(X0)|~sQ50_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f627,f100])).
% 8.19/1.47  fof(f687,definition,(
% 8.19/1.47    sQ61_spl <=> (empty(sK24_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f692,plain,(
% 8.19/1.47    ~top_str(sK0_skl)|sQ53_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f643,f301])).
% 8.19/1.47  fof(f693,plain,(
% 8.19/1.47    ~sQ0_spl|sQ53_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f692,f328,f641])).
% 8.19/1.47  fof(f695,plain,(
% 8.19/1.47    ![X0]: (~element(sK20_skl(X0),powerset(the_carrier(sK0_skl)))|nowhere_dense(sK20_skl(X0),sK0_skl)|~sQ51_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f632,f195])).
% 8.19/1.47  fof(f701,plain,(
% 8.19/1.47    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|closed_subset(sK9_skl(sK0_skl),sK0_skl)|~sQ35_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f554,f77])).
% 8.19/1.47  fof(f702,plain,(
% 8.19/1.47    ~sQ12_spl|sQ13_spl|~sQ35_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f701,f384,f387,f529])).
% 8.19/1.47  fof(f710,plain,(
% 8.19/1.47    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK9_skl(sK0_skl),sK0_skl)|v5_membered(sK9_skl(sK0_skl))|~sQ14_spl|~sQ27_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f391,f460])).
% 8.19/1.47  fof(f711,plain,(
% 8.19/1.47    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK9_skl(sK0_skl),sK0_skl)|v4_membered(sK9_skl(sK0_skl))|~sQ14_spl|~sQ26_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f391,f455])).
% 8.19/1.47  fof(f712,plain,(
% 8.19/1.47    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK9_skl(sK0_skl),sK0_skl)|v3_membered(sK9_skl(sK0_skl))|~sQ14_spl|~sQ25_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f391,f450])).
% 8.19/1.47  fof(f713,plain,(
% 8.19/1.47    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK9_skl(sK0_skl),sK0_skl)|v2_membered(sK9_skl(sK0_skl))|~sQ14_spl|~sQ6_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f391,f359])).
% 8.19/1.47  fof(f714,plain,(
% 8.19/1.47    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|~open_subset(sK9_skl(sK0_skl),sK0_skl)|v1_membered(sK9_skl(sK0_skl))|~sQ14_spl|~sQ5_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f391,f354])).
% 8.19/1.47  fof(f718,definition,(
% 8.19/1.47    sQ63_spl <=> (v5_membered(sK9_skl(sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f721,plain,(
% 8.19/1.47    ~sQ12_spl|~sQ17_spl|sQ63_spl|~sQ14_spl|~sQ27_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f710,f384,f404,f718,f390,f459])).
% 8.19/1.47  fof(f722,definition,(
% 8.19/1.47    sQ64_spl <=> (v4_membered(sK9_skl(sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f725,plain,(
% 8.19/1.47    ~sQ12_spl|~sQ17_spl|sQ64_spl|~sQ14_spl|~sQ26_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f711,f384,f404,f722,f390,f454])).
% 8.19/1.47  fof(f726,definition,(
% 8.19/1.47    sQ65_spl <=> (v3_membered(sK9_skl(sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f729,plain,(
% 8.19/1.47    ~sQ12_spl|~sQ17_spl|sQ65_spl|~sQ14_spl|~sQ25_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f712,f384,f404,f726,f390,f449])).
% 8.19/1.47  fof(f730,definition,(
% 8.19/1.47    sQ66_spl <=> (v2_membered(sK9_skl(sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f733,plain,(
% 8.19/1.47    ~sQ12_spl|~sQ17_spl|sQ66_spl|~sQ14_spl|~sQ6_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f713,f384,f404,f730,f390,f358])).
% 8.19/1.47  fof(f734,definition,(
% 8.19/1.47    sQ67_spl <=> (v1_membered(sK9_skl(sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f737,plain,(
% 8.19/1.47    ~sQ12_spl|~sQ17_spl|sQ67_spl|~sQ14_spl|~sQ5_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f714,f384,f404,f734,f390,f353])).
% 8.19/1.47  fof(f746,plain,(
% 8.19/1.47    empty(relation_rng(sK24_skl))),
% 8.19/1.47    inference(resolution,[status(thm)],[f235,f225])).
% 8.19/1.47  fof(f747,plain,(
% 8.19/1.47    ![X0]: (empty(relation_rng(sK20_skl(X0))))),
% 8.19/1.47    inference(resolution,[status(thm)],[f235,f195])).
% 8.19/1.47  fof(f749,plain,(
% 8.19/1.47    ![X0]: (empty(relation_rng(sK10_skl(X0)))|~topological_space(X0)|~top_str(X0))),
% 8.19/1.47    inference(resolution,[status(thm)],[f235,f110])).
% 8.19/1.47  fof(f751,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(sK0_skl)|empty_carrier(X0)|~net_str(X0,sK0_skl)|~netstr_induced_subset(X1,sK0_skl,X0)|element(X1,powerset(the_carrier(sK0_skl)))|~sQ53_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f642,f305])).
% 8.19/1.47  fof(f752,definition,(
% 8.19/1.47    ![X0,X1]: (sQ68_spl <=> (empty_carrier(X0)|~net_str(X0,sK0_skl)|~netstr_induced_subset(X1,sK0_skl,X0)|element(X1,powerset(the_carrier(sK0_skl)))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f753,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~net_str(X0,sK0_skl)|~netstr_induced_subset(X1,sK0_skl,X0)|element(X1,powerset(the_carrier(sK0_skl)))|~sQ68_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f752])).
% 8.19/1.47  fof(f755,plain,(
% 8.19/1.47    sQ20_spl|sQ68_spl|~sQ53_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f751,f418,f752,f641])).
% 8.19/1.47  fof(f756,plain,(
% 8.19/1.47    open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|~sQ50_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f649,f194])).
% 8.19/1.47  fof(f757,plain,(
% 8.19/1.47    ![X0,X1]: (open_subset(sK20_skl(X0),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(sK20_skl(X0),sK0_skl,X1)|~sQ50_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f649,f317])).
% 8.19/1.47  fof(f758,definition,(
% 8.19/1.47    ![X0,X1]: (sQ69_spl <=> (open_subset(sK20_skl(X0),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(sK20_skl(X0),sK0_skl,X1)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f761,plain,(
% 8.19/1.47    sQ69_spl|~sQ0_spl|sQ20_spl|~sQ50_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f757,f758,f328,f418,f626])).
% 8.19/1.47  fof(f794,plain,(
% 8.19/1.47    ~element(sK9_skl(sK0_skl),powerset(the_carrier(sK0_skl)))|open_subset(sK9_skl(sK0_skl),sK0_skl)|~sQ50_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f652,f77])).
% 8.19/1.47  fof(f795,plain,(
% 8.19/1.47    ~sQ12_spl|sQ17_spl|~sQ50_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f794,f384,f404,f626])).
% 8.19/1.47  fof(f797,plain,(
% 8.19/1.47    ![X0,X1]: (nowhere_dense(sK20_skl(X0),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(sK20_skl(X0),sK0_skl,X1)|~sQ51_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f695,f317])).
% 8.19/1.47  fof(f798,definition,(
% 8.19/1.47    ![X0,X1]: (sQ76_spl <=> (nowhere_dense(sK20_skl(X0),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(sK20_skl(X0),sK0_skl,X1)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f801,plain,(
% 8.19/1.47    sQ76_spl|~sQ0_spl|sQ20_spl|~sQ51_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f797,f798,f328,f418,f631])).
% 8.19/1.47  fof(f807,plain,(
% 8.19/1.47    ![X0]: (relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))|~rel_str(X0))),
% 8.19/1.47    inference(resolution,[status(thm)],[f241,f186])).
% 8.19/1.47  fof(f809,plain,(
% 8.19/1.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|~one_sorted_str(X0)|~net_str(netstr_restr_to_element(X0,X1,X2),X0)|netstr_restr_to_element(X0,X1,X2)=net_str_of(X0,the_carrier(netstr_restr_to_element(X0,X1,X2)),the_InternalRel(netstr_restr_to_element(X0,X1,X2)),the_mapping(X0,netstr_restr_to_element(X0,X1,X2))))),
% 8.19/1.47    inference(resolution,[status(thm)],[f244,f238])).
% 8.19/1.47  fof(f810,plain,(
% 8.19/1.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|~net_str(netstr_restr_to_element(X0,X1,X2),X0)|netstr_restr_to_element(X0,X1,X2)=net_str_of(X0,the_carrier(netstr_restr_to_element(X0,X1,X2)),the_InternalRel(netstr_restr_to_element(X0,X1,X2)),the_mapping(X0,netstr_restr_to_element(X0,X1,X2))))),
% 8.19/1.47    inference(duplicate_literals_removal,[status(thm)],[f809])).
% 8.19/1.47  fof(f811,plain,(
% 8.19/1.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|netstr_restr_to_element(X0,X1,X2)=net_str_of(X0,the_carrier(netstr_restr_to_element(X0,X1,X2)),the_InternalRel(netstr_restr_to_element(X0,X1,X2)),the_mapping(X0,netstr_restr_to_element(X0,X1,X2))))),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f810,f245])).
% 8.19/1.47  fof(f816,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(sK26_skl)|empty_carrier(X0)|~net_str(X0,sK26_skl)|~netstr_induced_subset(X1,sK26_skl,X0)|element(X1,powerset(the_carrier(sK26_skl))))),
% 8.19/1.47    inference(resolution,[status(thm)],[f257,f305])).
% 8.19/1.47  fof(f817,definition,(
% 8.19/1.47    sQ77_spl <=> (empty_carrier(sK26_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f818,plain,(
% 8.19/1.47    empty_carrier(sK26_skl)|~sQ77_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f817])).
% 8.19/1.47  fof(f820,definition,(
% 8.19/1.47    ![X0,X1]: (sQ78_spl <=> (empty_carrier(X0)|~net_str(X0,sK26_skl)|~netstr_induced_subset(X1,sK26_skl,X0)|element(X1,powerset(the_carrier(sK26_skl)))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f823,plain,(
% 8.19/1.47    sQ77_spl|sQ78_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f816,f817,f820])).
% 8.19/1.47  fof(f824,plain,(
% 8.19/1.47    $false|~sQ77_spl),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f818,f258])).
% 8.19/1.47  fof(f825,plain,(
% 8.19/1.47    ~sQ77_spl),
% 8.19/1.47    inference(contradiction_clause,[status(thm)],[f824])).
% 8.19/1.47  fof(f826,plain,(
% 8.19/1.47    empty(sK24_skl)|~relation(sK24_skl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f746,f233])).
% 8.19/1.47  fof(f833,definition,(
% 8.19/1.47    sQ79_spl <=> (relation(sK24_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f835,plain,(
% 8.19/1.47    ~relation(sK24_skl)|sQ79_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f833])).
% 8.19/1.47  fof(f836,plain,(
% 8.19/1.47    sQ61_spl|~sQ79_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f826,f687,f833])).
% 8.19/1.47  fof(f856,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|transitive_relstr(X1))),
% 8.19/1.47    inference(resolution,[status(thm)],[f252,f79])).
% 8.19/1.47  fof(f857,definition,(
% 8.19/1.47    ![X0,X1]: (sQ85_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|transitive_relstr(X1)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f858,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|transitive_relstr(X1)|~sQ85_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f857])).
% 8.19/1.47  fof(f860,plain,(
% 8.19/1.47    sQ85_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f856,f857,f594,f597])).
% 8.19/1.47  fof(f861,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|directed_relstr(X1))),
% 8.19/1.47    inference(resolution,[status(thm)],[f253,f79])).
% 8.19/1.47  fof(f862,definition,(
% 8.19/1.47    ![X0,X1]: (sQ86_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|directed_relstr(X1)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f863,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|directed_relstr(X1)|~sQ86_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f862])).
% 8.19/1.47  fof(f865,plain,(
% 8.19/1.47    sQ86_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f861,f862,f594,f597])).
% 8.19/1.47  fof(f866,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|net_str(X1,X0))),
% 8.19/1.47    inference(resolution,[status(thm)],[f254,f79])).
% 8.19/1.47  fof(f867,definition,(
% 8.19/1.47    ![X0,X1]: (sQ87_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|net_str(X1,X0)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f868,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~subnet(X1,X0,sK1_skl)|net_str(X1,X0)|~sQ87_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f867])).
% 8.19/1.47  fof(f870,plain,(
% 8.19/1.47    sQ87_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f866,f867,f594,f597])).
% 8.19/1.47  fof(f871,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|transitive_relstr(netstr_restr_to_element(X0,sK1_skl,X1)))),
% 8.19/1.47    inference(resolution,[status(thm)],[f272,f79])).
% 8.19/1.47  fof(f872,definition,(
% 8.19/1.47    ![X0,X1]: (sQ88_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|transitive_relstr(netstr_restr_to_element(X0,sK1_skl,X1))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f873,plain,(
% 8.19/1.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|transitive_relstr(netstr_restr_to_element(X0,sK1_skl,X1))|~sQ88_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f872])).
% 8.19/1.47  fof(f875,plain,(
% 8.19/1.47    sQ88_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f871,f872,f594,f597])).
% 8.19/1.47  fof(f876,plain,(
% 8.19/1.47    ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|empty_carrier(X3)|~one_sorted_str(X3)|empty_carrier(netstr_restr_to_element(X0,X1,X2))|~transitive_relstr(netstr_restr_to_element(X0,X1,X2))|~net_str(netstr_restr_to_element(X0,X1,X2),X3)|~element(X4,the_carrier(netstr_restr_to_element(X0,X1,X2)))|subnetstr_of_element(X3,netstr_restr_to_element(X0,X1,X2),X4)=netstr_restr_to_element(X3,netstr_restr_to_element(X0,X1,X2),X4))),
% 8.19/1.47    inference(resolution,[status(thm)],[f274,f292])).
% 8.19/1.47  fof(f877,plain,(
% 8.19/1.47    ![X0,X1,X2,X3,X4]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1))|empty_carrier(X3)|~one_sorted_str(X3)|~transitive_relstr(netstr_restr_to_element(X0,X1,X2))|~net_str(netstr_restr_to_element(X0,X1,X2),X3)|~element(X4,the_carrier(netstr_restr_to_element(X0,X1,X2)))|subnetstr_of_element(X3,netstr_restr_to_element(X0,X1,X2),X4)=netstr_restr_to_element(X3,netstr_restr_to_element(X0,X1,X2),X4))),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f876,f268])).
% 8.19/1.47  fof(f888,plain,(
% 8.19/1.47    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~subnet(X0,sK0_skl,sK1_skl)|transitive_relstr(X0)|~sQ85_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f858,f81])).
% 8.19/1.47  fof(f889,definition,(
% 8.19/1.47    ![X0]: (sQ89_spl <=> (~subnet(X0,sK0_skl,sK1_skl)|transitive_relstr(X0)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f890,plain,(
% 8.19/1.47    ![X0]: (~subnet(X0,sK0_skl,sK1_skl)|transitive_relstr(X0)|~sQ89_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f889])).
% 8.19/1.47  fof(f892,plain,(
% 8.19/1.47    sQ20_spl|~sQ53_spl|sQ89_spl|~sQ85_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f888,f418,f641,f889,f857])).
% 8.19/1.47  fof(f893,plain,(
% 8.19/1.47    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~subnet(X0,sK0_skl,sK1_skl)|directed_relstr(X0)|~sQ86_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f863,f81])).
% 8.19/1.47  fof(f894,definition,(
% 8.19/1.47    ![X0]: (sQ90_spl <=> (~subnet(X0,sK0_skl,sK1_skl)|directed_relstr(X0)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f895,plain,(
% 8.19/1.47    ![X0]: (~subnet(X0,sK0_skl,sK1_skl)|directed_relstr(X0)|~sQ90_spl)),
% 8.19/1.47    inference(component_clause,[status(thm)],[f894])).
% 8.19/1.47  fof(f897,plain,(
% 8.19/1.47    sQ20_spl|~sQ53_spl|sQ90_spl|~sQ86_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f893,f418,f641,f894,f862])).
% 8.19/1.47  fof(f928,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|~open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|v5_membered(sK20_skl(the_carrier(sK0_skl)))|~sQ41_spl|~sQ27_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f570,f460])).
% 8.19/1.47  fof(f929,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|~open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|v4_membered(sK20_skl(the_carrier(sK0_skl)))|~sQ41_spl|~sQ26_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f570,f455])).
% 8.19/1.47  fof(f930,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|~open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|v3_membered(sK20_skl(the_carrier(sK0_skl)))|~sQ41_spl|~sQ25_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f570,f450])).
% 8.19/1.47  fof(f931,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|~open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|v2_membered(sK20_skl(the_carrier(sK0_skl)))|~sQ41_spl|~sQ6_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f570,f359])).
% 8.19/1.47  fof(f932,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|~open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|v1_membered(sK20_skl(the_carrier(sK0_skl)))|~sQ41_spl|~sQ5_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f570,f354])).
% 8.19/1.47  fof(f934,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|~open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|empty(sK20_skl(the_carrier(sK0_skl)))|~sQ41_spl|~sQ3_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f570,f344])).
% 8.19/1.47  fof(f935,plain,(
% 8.19/1.47    ~element(sK20_skl(the_carrier(sK0_skl)),powerset(the_carrier(sK0_skl)))|boundary_set(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|~sQ41_spl|~sQ1_spl),
% 8.19/1.47    inference(resolution,[status(thm)],[f570,f332])).
% 8.19/1.47  fof(f936,definition,(
% 8.19/1.47    sQ97_spl <=> (open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f938,plain,(
% 8.19/1.47    ~open_subset(sK20_skl(the_carrier(sK0_skl)),sK0_skl)|sQ97_spl),
% 8.19/1.47    inference(component_clause,[status(thm)],[f936])).
% 8.19/1.47  fof(f939,definition,(
% 8.19/1.47    sQ98_spl <=> (v5_membered(sK20_skl(the_carrier(sK0_skl))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f942,plain,(
% 8.19/1.47    ~sQ39_spl|~sQ97_spl|sQ98_spl|~sQ41_spl|~sQ27_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f928,f563,f936,f939,f569,f459])).
% 8.19/1.47  fof(f943,definition,(
% 8.19/1.47    sQ99_spl <=> (v4_membered(sK20_skl(the_carrier(sK0_skl))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f946,plain,(
% 8.19/1.47    ~sQ39_spl|~sQ97_spl|sQ99_spl|~sQ41_spl|~sQ26_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f929,f563,f936,f943,f569,f454])).
% 8.19/1.47  fof(f947,definition,(
% 8.19/1.47    sQ100_spl <=> (v3_membered(sK20_skl(the_carrier(sK0_skl))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f950,plain,(
% 8.19/1.47    ~sQ39_spl|~sQ97_spl|sQ100_spl|~sQ41_spl|~sQ25_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f930,f563,f936,f947,f569,f449])).
% 8.19/1.47  fof(f951,definition,(
% 8.19/1.47    sQ101_spl <=> (v2_membered(sK20_skl(the_carrier(sK0_skl))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f954,plain,(
% 8.19/1.47    ~sQ39_spl|~sQ97_spl|sQ101_spl|~sQ41_spl|~sQ6_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f931,f563,f936,f951,f569,f358])).
% 8.19/1.47  fof(f955,definition,(
% 8.19/1.47    sQ102_spl <=> (v1_membered(sK20_skl(the_carrier(sK0_skl))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f958,plain,(
% 8.19/1.47    ~sQ39_spl|~sQ97_spl|sQ102_spl|~sQ41_spl|~sQ5_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f932,f563,f936,f955,f569,f353])).
% 8.19/1.47  fof(f960,definition,(
% 8.19/1.47    sQ103_spl <=> (empty(sK20_skl(the_carrier(sK0_skl))))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f963,plain,(
% 8.19/1.47    ~sQ39_spl|~sQ97_spl|sQ103_spl|~sQ41_spl|~sQ3_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f934,f563,f936,f960,f569,f343])).
% 8.19/1.47  fof(f964,definition,(
% 8.19/1.47    sQ104_spl <=> (boundary_set(sK20_skl(the_carrier(sK0_skl)),sK0_skl))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f967,plain,(
% 8.19/1.47    ~sQ39_spl|sQ104_spl|~sQ41_spl|~sQ1_spl),
% 8.19/1.47    inference(split_clause,[status(thm)],[f935,f563,f964,f569,f331])).
% 8.19/1.47  fof(f968,plain,(
% 8.19/1.47    $false|~sQ50_spl|sQ97_spl),
% 8.19/1.47    inference(forward_subsumption_resolution,[status(thm)],[f938,f756])).
% 8.19/1.47  fof(f969,plain,(
% 8.19/1.47    ~sQ50_spl|sQ97_spl),
% 8.19/1.47    inference(contradiction_clause,[status(thm)],[f968])).
% 8.19/1.47  fof(f970,plain,(
% 8.19/1.47    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~subnet(X0,sK0_skl,sK1_skl)|net_str(X0,sK0_skl)|~sQ87_spl)),
% 8.19/1.47    inference(resolution,[status(thm)],[f868,f81])).
% 8.19/1.47  fof(f971,definition,(
% 8.19/1.47    ![X0]: (sQ105_spl <=> (~subnet(X0,sK0_skl,sK1_skl)|net_str(X0,sK0_skl)))),
% 8.19/1.47    introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 8.19/1.47  fof(f972,plain,(
% 8.19/1.47    ![X0]: (~subnet(X0,sK0_skl,sK1_skl)|net_str(X0,sK0_skl)|~sQ105_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f971])).
% 8.19/1.48  fof(f974,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ105_spl|~sQ87_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f970,f418,f641,f971,f867])).
% 8.19/1.48  fof(f975,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~element(X0,the_carrier(sK1_skl))|transitive_relstr(netstr_restr_to_element(sK0_skl,sK1_skl,X0))|~sQ88_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f873,f81])).
% 8.19/1.48  fof(f976,definition,(
% 8.19/1.48    ![X0]: (sQ106_spl <=> (~element(X0,the_carrier(sK1_skl))|transitive_relstr(netstr_restr_to_element(sK0_skl,sK1_skl,X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f977,plain,(
% 8.19/1.48    ![X0]: (~element(X0,the_carrier(sK1_skl))|transitive_relstr(netstr_restr_to_element(sK0_skl,sK1_skl,X0))|~sQ106_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f976])).
% 8.19/1.48  fof(f979,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ106_spl|~sQ88_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f975,f418,f641,f976,f872])).
% 8.19/1.48  fof(f986,plain,(
% 8.19/1.48    ![X0]: (empty(relation_rng(relation_rng(sK20_skl(X0)))))),
% 8.19/1.48    inference(resolution,[status(thm)],[f747,f235])).
% 8.19/1.48  fof(f987,plain,(
% 8.19/1.48    ![X0]: (~element(relation_rng(sK20_skl(X0)),powerset(the_carrier(sK0_skl)))|nowhere_dense(relation_rng(sK20_skl(X0)),sK0_skl)|~sQ51_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f747,f632])).
% 8.19/1.48  fof(f988,plain,(
% 8.19/1.48    ![X0]: (~element(relation_rng(sK20_skl(X0)),powerset(the_carrier(sK0_skl)))|open_subset(relation_rng(sK20_skl(X0)),sK0_skl)|~sQ50_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f747,f627])).
% 8.19/1.48  fof(f989,plain,(
% 8.19/1.48    ![X0]: (~element(relation_rng(sK20_skl(X0)),powerset(the_carrier(sK0_skl)))|closed_subset(relation_rng(sK20_skl(X0)),sK0_skl)|~sQ35_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f747,f530])).
% 8.19/1.48  fof(f990,plain,(
% 8.19/1.48    ![X0]: (~element(relation_rng(sK20_skl(X0)),powerset(the_carrier(sK0_skl)))|boundary_set(relation_rng(sK20_skl(X0)),sK0_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f747,f527])).
% 8.19/1.48  fof(f994,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|transitive_relstr(sK28_skl(sK1_skl,X0)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f279,f79])).
% 8.19/1.48  fof(f995,definition,(
% 8.19/1.48    ![X0]: (sQ108_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|transitive_relstr(sK28_skl(sK1_skl,X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f998,plain,(
% 8.19/1.48    sQ108_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f994,f995,f594,f597])).
% 8.19/1.48  fof(f999,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|strict_net_str(sK28_skl(sK1_skl,X0),X0))),
% 8.19/1.48    inference(resolution,[status(thm)],[f280,f79])).
% 8.19/1.48  fof(f1000,definition,(
% 8.19/1.48    ![X0]: (sQ109_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|strict_net_str(sK28_skl(sK1_skl,X0),X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1001,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|strict_net_str(sK28_skl(sK1_skl,X0),X0)|~sQ109_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1000])).
% 8.19/1.48  fof(f1003,plain,(
% 8.19/1.48    sQ109_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f999,f1000,f594,f597])).
% 8.19/1.48  fof(f1004,plain,(
% 8.19/1.48    ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|empty_carrier(X2)|~one_sorted_str(X2)|empty_carrier(sK28_skl(X1,X0))|~transitive_relstr(sK28_skl(X1,X0))|~net_str(sK28_skl(X1,X0),X2)|~element(X3,the_carrier(sK28_skl(X1,X0)))|subnetstr_of_element(X2,sK28_skl(X1,X0),X3)=netstr_restr_to_element(X2,sK28_skl(X1,X0),X3))),
% 8.19/1.48    inference(resolution,[status(thm)],[f281,f292])).
% 8.19/1.48  fof(f1005,plain,(
% 8.19/1.48    ![X0,X1,X2,X3]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|empty_carrier(X2)|~one_sorted_str(X2)|~transitive_relstr(sK28_skl(X1,X0))|~net_str(sK28_skl(X1,X0),X2)|~element(X3,the_carrier(sK28_skl(X1,X0)))|subnetstr_of_element(X2,sK28_skl(X1,X0),X3)=netstr_restr_to_element(X2,sK28_skl(X1,X0),X3))),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1004,f278])).
% 8.19/1.48  fof(f1007,definition,(
% 8.19/1.48    sQ110_spl <=> (transitive_relstr(sK28_skl(sK1_skl,sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1008,plain,(
% 8.19/1.48    transitive_relstr(sK28_skl(sK1_skl,sK0_skl))|~sQ110_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1007])).
% 8.19/1.48  fof(f1011,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,X0),X0)|sK28_skl(sK1_skl,X0)=net_str_of(X0,the_carrier(sK28_skl(sK1_skl,X0)),the_InternalRel(sK28_skl(sK1_skl,X0)),the_mapping(X0,sK28_skl(sK1_skl,X0)))|~sQ109_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1001,f238])).
% 8.19/1.48  fof(f1012,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~net_str(sK28_skl(sK1_skl,X0),X0)|sK28_skl(sK1_skl,X0)=net_str_of(X0,the_carrier(sK28_skl(sK1_skl,X0)),the_InternalRel(sK28_skl(sK1_skl,X0)),the_mapping(X0,sK28_skl(sK1_skl,X0)))|~sQ109_spl)),
% 8.19/1.48    inference(duplicate_literals_removal,[status(thm)],[f1011])).
% 8.19/1.48  fof(f1013,plain,(
% 8.19/1.48    transitive_relstr(sK28_skl(sK1_skl,sK0_skl))|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(sK1_skl)|~transitive_relstr(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,sK0_skl)|~sQ89_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f890,f277])).
% 8.19/1.48  fof(f1014,definition,(
% 8.19/1.48    sQ111_spl <=> (net_str(sK1_skl,sK0_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1016,plain,(
% 8.19/1.48    ~net_str(sK1_skl,sK0_skl)|sQ111_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1014])).
% 8.19/1.48  fof(f1017,plain,(
% 8.19/1.48    sQ110_spl|sQ20_spl|~sQ53_spl|sQ44_spl|~sQ46_spl|~sQ45_spl|~sQ111_spl|~sQ89_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1013,f1007,f418,f641,f594,f601,f597,f1014,f889])).
% 8.19/1.48  fof(f1018,plain,(
% 8.19/1.48    directed_relstr(sK28_skl(sK1_skl,sK0_skl))|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(sK1_skl)|~transitive_relstr(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,sK0_skl)|~sQ90_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f895,f277])).
% 8.19/1.48  fof(f1019,definition,(
% 8.19/1.48    sQ112_spl <=> (directed_relstr(sK28_skl(sK1_skl,sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1022,plain,(
% 8.19/1.48    sQ112_spl|sQ20_spl|~sQ53_spl|sQ44_spl|~sQ46_spl|~sQ45_spl|~sQ111_spl|~sQ90_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1018,f1019,f418,f641,f594,f601,f597,f1014,f894])).
% 8.19/1.48  fof(f1023,plain,(
% 8.19/1.48    $false|sQ111_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1016,f81])).
% 8.19/1.48  fof(f1024,plain,(
% 8.19/1.48    sQ111_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f1023])).
% 8.19/1.48  fof(f1025,plain,(
% 8.19/1.48    net_str(sK28_skl(sK1_skl,sK0_skl),sK0_skl)|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(sK1_skl)|~transitive_relstr(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,sK0_skl)|~sQ105_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f972,f277])).
% 8.19/1.48  fof(f1026,definition,(
% 8.19/1.48    sQ113_spl <=> (net_str(sK28_skl(sK1_skl,sK0_skl),sK0_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1027,plain,(
% 8.19/1.48    net_str(sK28_skl(sK1_skl,sK0_skl),sK0_skl)|~sQ113_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1026])).
% 8.19/1.48  fof(f1029,plain,(
% 8.19/1.48    sQ113_spl|sQ20_spl|~sQ53_spl|sQ44_spl|~sQ46_spl|~sQ45_spl|~sQ111_spl|~sQ105_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1025,f1026,f418,f641,f594,f601,f597,f1014,f971])).
% 8.19/1.48  fof(f1030,plain,(
% 8.19/1.48    ![X0]: (transitive_relstr(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0)))|~in(X0,sK3_skl)|~sQ106_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f977,f91])).
% 8.19/1.48  fof(f1031,plain,(
% 8.19/1.48    ![X0]: (transitive_relstr(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0)))|~in(X0,sK2_skl)|~sQ106_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f977,f84])).
% 8.19/1.48  fof(f1065,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|strict_net_str(subnetstr_of_element(X0,sK1_skl,X1),X0))),
% 8.19/1.48    inference(resolution,[status(thm)],[f298,f79])).
% 8.19/1.48  fof(f1066,definition,(
% 8.19/1.48    ![X0,X1]: (sQ121_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|strict_net_str(subnetstr_of_element(X0,sK1_skl,X1),X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1067,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|strict_net_str(subnetstr_of_element(X0,sK1_skl,X1),X0)|~sQ121_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1066])).
% 8.19/1.48  fof(f1069,plain,(
% 8.19/1.48    sQ121_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1065,f1066,f594,f597])).
% 8.19/1.48  fof(f1070,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|subnet(subnetstr_of_element(X0,sK1_skl,X1),X0,sK1_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f299,f79])).
% 8.19/1.48  fof(f1071,definition,(
% 8.19/1.48    ![X0,X1]: (sQ122_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|subnet(subnetstr_of_element(X0,sK1_skl,X1),X0,sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1072,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK1_skl,X0)|~element(X1,the_carrier(sK1_skl))|subnet(subnetstr_of_element(X0,sK1_skl,X1),X0,sK1_skl)|~sQ122_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1071])).
% 8.19/1.48  fof(f1074,plain,(
% 8.19/1.48    sQ122_spl|sQ44_spl|~sQ45_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1070,f1071,f594,f597])).
% 8.19/1.48  fof(f1075,plain,(
% 8.19/1.48    ![X0]: (~net_str(X0,sK26_skl)|rel_str(X0))),
% 8.19/1.48    inference(resolution,[status(thm)],[f303,f257])).
% 8.19/1.48  fof(f1076,plain,(
% 8.19/1.48    ![X0]: (~net_str(X0,sK0_skl)|rel_str(X0)|~sQ53_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f303,f642])).
% 8.19/1.48  fof(f1078,plain,(
% 8.19/1.48    ![X0]: (~net_str(X0,sK26_skl)|function(the_mapping(sK26_skl,X0)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f307,f257])).
% 8.19/1.48  fof(f1079,plain,(
% 8.19/1.48    ![X0]: (~net_str(X0,sK0_skl)|function(the_mapping(sK0_skl,X0))|~sQ53_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f307,f642])).
% 8.19/1.48  fof(f1082,plain,(
% 8.19/1.48    ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f309,f241])).
% 8.19/1.48  fof(f1083,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~element(X0,the_carrier(sK1_skl))|strict_net_str(subnetstr_of_element(sK0_skl,sK1_skl,X0),sK0_skl)|~sQ121_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1067,f81])).
% 8.19/1.48  fof(f1084,definition,(
% 8.19/1.48    ![X0]: (sQ123_spl <=> (~element(X0,the_carrier(sK1_skl))|strict_net_str(subnetstr_of_element(sK0_skl,sK1_skl,X0),sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1085,plain,(
% 8.19/1.48    ![X0]: (~element(X0,the_carrier(sK1_skl))|strict_net_str(subnetstr_of_element(sK0_skl,sK1_skl,X0),sK0_skl)|~sQ123_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1084])).
% 8.19/1.48  fof(f1087,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ123_spl|~sQ121_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1083,f418,f641,f1084,f1066])).
% 8.19/1.48  fof(f1088,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~element(X0,the_carrier(sK1_skl))|subnet(subnetstr_of_element(sK0_skl,sK1_skl,X0),sK0_skl,sK1_skl)|~sQ122_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1072,f81])).
% 8.19/1.48  fof(f1089,definition,(
% 8.19/1.48    ![X0]: (sQ124_spl <=> (~element(X0,the_carrier(sK1_skl))|subnet(subnetstr_of_element(sK0_skl,sK1_skl,X0),sK0_skl,sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1092,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ124_spl|~sQ122_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1088,f418,f641,f1089,f1071])).
% 8.19/1.48  fof(f1093,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~element(X1,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|subnet(subnetstr_of_element(X0,sK28_skl(sK1_skl,sK0_skl),X1),X0,sK28_skl(sK1_skl,sK0_skl))|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f299])).
% 8.19/1.48  fof(f1094,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~element(X1,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|strict_net_str(subnetstr_of_element(X0,sK28_skl(sK1_skl,sK0_skl),X1),X0)|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f298])).
% 8.19/1.48  fof(f1095,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|strict_net_str(sK28_skl(sK28_skl(sK1_skl,sK0_skl),X0),X0)|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f280])).
% 8.19/1.48  fof(f1096,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|transitive_relstr(sK28_skl(sK28_skl(sK1_skl,sK0_skl),X0))|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f279])).
% 8.19/1.48  fof(f1097,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~element(X1,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|transitive_relstr(netstr_restr_to_element(X0,sK28_skl(sK1_skl,sK0_skl),X1))|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f272])).
% 8.19/1.48  fof(f1098,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|net_str(X1,X0)|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f254])).
% 8.19/1.48  fof(f1099,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|directed_relstr(X1)|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f253])).
% 8.19/1.48  fof(f1100,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|transitive_relstr(X1)|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f252])).
% 8.19/1.48  fof(f1101,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~directed_relstr(sK28_skl(sK1_skl,sK0_skl))|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~element(X1,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|subnetstr_of_element(X0,sK28_skl(sK1_skl,sK0_skl),X1)=netstr_restr_to_element(X0,sK28_skl(sK1_skl,sK0_skl),X1)|~sQ110_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1008,f292])).
% 8.19/1.48  fof(f1102,definition,(
% 8.19/1.48    ![X0,X1]: (sQ125_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~element(X1,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|subnet(subnetstr_of_element(X0,sK28_skl(sK1_skl,sK0_skl),X1),X0,sK28_skl(sK1_skl,sK0_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1105,definition,(
% 8.19/1.48    sQ126_spl <=> (empty_carrier(sK28_skl(sK1_skl,sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1106,plain,(
% 8.19/1.48    empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~sQ126_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1105])).
% 8.19/1.48  fof(f1108,plain,(
% 8.19/1.48    sQ125_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1093,f1102,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1109,definition,(
% 8.19/1.48    ![X0,X1]: (sQ127_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~element(X1,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|strict_net_str(subnetstr_of_element(X0,sK28_skl(sK1_skl,sK0_skl),X1),X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1112,plain,(
% 8.19/1.48    sQ127_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1094,f1109,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1113,definition,(
% 8.19/1.48    ![X0]: (sQ128_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|strict_net_str(sK28_skl(sK28_skl(sK1_skl,sK0_skl),X0),X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1116,plain,(
% 8.19/1.48    sQ128_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1095,f1113,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1117,definition,(
% 8.19/1.48    ![X0]: (sQ129_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|transitive_relstr(sK28_skl(sK28_skl(sK1_skl,sK0_skl),X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1118,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|transitive_relstr(sK28_skl(sK28_skl(sK1_skl,sK0_skl),X0))|~sQ129_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1117])).
% 8.19/1.48  fof(f1120,plain,(
% 8.19/1.48    sQ129_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1096,f1117,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1121,definition,(
% 8.19/1.48    ![X0,X1]: (sQ130_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~element(X1,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|transitive_relstr(netstr_restr_to_element(X0,sK28_skl(sK1_skl,sK0_skl),X1))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1124,plain,(
% 8.19/1.48    sQ130_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1097,f1121,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1125,definition,(
% 8.19/1.48    ![X0,X1]: (sQ131_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|net_str(X1,X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1126,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|net_str(X1,X0)|~sQ131_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1125])).
% 8.19/1.48  fof(f1128,plain,(
% 8.19/1.48    sQ131_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1098,f1125,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1129,definition,(
% 8.19/1.48    ![X0,X1]: (sQ132_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|directed_relstr(X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1130,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|directed_relstr(X1)|~sQ132_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1129])).
% 8.19/1.48  fof(f1132,plain,(
% 8.19/1.48    sQ132_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1099,f1129,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1133,definition,(
% 8.19/1.48    ![X0,X1]: (sQ133_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|transitive_relstr(X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1134,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~subnet(X1,X0,sK28_skl(sK1_skl,sK0_skl))|transitive_relstr(X1)|~sQ133_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1133])).
% 8.19/1.48  fof(f1136,plain,(
% 8.19/1.48    sQ133_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1100,f1133,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1137,definition,(
% 8.19/1.48    ![X0,X1]: (sQ134_spl <=> (empty_carrier(X0)|~one_sorted_str(X0)|~net_str(sK28_skl(sK1_skl,sK0_skl),X0)|~element(X1,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|subnetstr_of_element(X0,sK28_skl(sK1_skl,sK0_skl),X1)=netstr_restr_to_element(X0,sK28_skl(sK1_skl,sK0_skl),X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1140,plain,(
% 8.19/1.48    sQ134_spl|sQ126_spl|~sQ112_spl|~sQ110_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1101,f1137,f1105,f1019,f1007])).
% 8.19/1.48  fof(f1143,plain,(
% 8.19/1.48    ![X0,X1]: (nowhere_dense(relation_rng(sK20_skl(X0)),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(sK20_skl(X0)),sK0_skl,X1)|~sQ51_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f987,f317])).
% 8.19/1.48  fof(f1144,definition,(
% 8.19/1.48    ![X0,X1]: (sQ135_spl <=> (nowhere_dense(relation_rng(sK20_skl(X0)),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(sK20_skl(X0)),sK0_skl,X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1147,plain,(
% 8.19/1.48    sQ135_spl|~sQ0_spl|sQ20_spl|~sQ51_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1143,f1144,f328,f418,f631])).
% 8.19/1.48  fof(f1148,plain,(
% 8.19/1.48    ![X0,X1]: (open_subset(relation_rng(sK20_skl(X0)),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(sK20_skl(X0)),sK0_skl,X1)|~sQ50_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f988,f317])).
% 8.19/1.48  fof(f1149,definition,(
% 8.19/1.48    ![X0,X1]: (sQ136_spl <=> (open_subset(relation_rng(sK20_skl(X0)),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(sK20_skl(X0)),sK0_skl,X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1152,plain,(
% 8.19/1.48    sQ136_spl|~sQ0_spl|sQ20_spl|~sQ50_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1148,f1149,f328,f418,f626])).
% 8.19/1.48  fof(f1153,plain,(
% 8.19/1.48    ![X0,X1]: (closed_subset(relation_rng(sK20_skl(X0)),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(sK20_skl(X0)),sK0_skl,X1)|~sQ35_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f989,f317])).
% 8.19/1.48  fof(f1154,definition,(
% 8.19/1.48    ![X0,X1]: (sQ137_spl <=> (closed_subset(relation_rng(sK20_skl(X0)),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(sK20_skl(X0)),sK0_skl,X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1157,plain,(
% 8.19/1.48    sQ137_spl|~sQ0_spl|sQ20_spl|~sQ35_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1153,f1154,f328,f418,f529])).
% 8.19/1.48  fof(f1158,plain,(
% 8.19/1.48    ![X0,X1]: (boundary_set(relation_rng(sK20_skl(X0)),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(sK20_skl(X0)),sK0_skl,X1))),
% 8.19/1.48    inference(resolution,[status(thm)],[f990,f317])).
% 8.19/1.48  fof(f1159,definition,(
% 8.19/1.48    ![X0,X1]: (sQ138_spl <=> (boundary_set(relation_rng(sK20_skl(X0)),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(sK20_skl(X0)),sK0_skl,X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1162,plain,(
% 8.19/1.48    sQ138_spl|~sQ0_spl|sQ20_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1158,f1159,f328,f418])).
% 8.19/1.48  fof(f1163,plain,(
% 8.19/1.48    ![X0,X1]: (rel_str(netstr_restr_to_element(sK26_skl,X0,X1))|empty_carrier(sK26_skl)|~one_sorted_str(sK26_skl)|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1075,f245])).
% 8.19/1.48  fof(f1164,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK26_skl))|~one_sorted_str(sK26_skl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1075,f265])).
% 8.19/1.48  fof(f1165,definition,(
% 8.19/1.48    ![X0,X1]: (sQ139_spl <=> (rel_str(netstr_restr_to_element(sK26_skl,X0,X1))|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1166,plain,(
% 8.19/1.48    ![X0,X1]: (rel_str(netstr_restr_to_element(sK26_skl,X0,X1))|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))|~sQ139_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1165])).
% 8.19/1.48  fof(f1168,definition,(
% 8.19/1.48    sQ140_spl <=> (one_sorted_str(sK26_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1170,plain,(
% 8.19/1.48    ~one_sorted_str(sK26_skl)|sQ140_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1168])).
% 8.19/1.48  fof(f1171,plain,(
% 8.19/1.48    sQ139_spl|sQ77_spl|~sQ140_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1163,f1165,f817,f1168])).
% 8.19/1.48  fof(f1172,definition,(
% 8.19/1.48    sQ141_spl <=> (rel_str(sK27_skl(sK26_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1173,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK26_skl))|~sQ141_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1172])).
% 8.19/1.48  fof(f1175,plain,(
% 8.19/1.48    sQ141_spl|~sQ140_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1164,f1172,f1168])).
% 8.19/1.48  fof(f1176,plain,(
% 8.19/1.48    $false|sQ140_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1170,f257])).
% 8.19/1.48  fof(f1177,plain,(
% 8.19/1.48    sQ140_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f1176])).
% 8.19/1.48  fof(f1178,plain,(
% 8.19/1.48    one_sorted_str(sK27_skl(sK26_skl))|~sQ141_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1173,f247])).
% 8.19/1.48  fof(f1184,plain,(
% 8.19/1.48    ![X0]: (in(sK29_skl(X0,sK3_skl),X0)|sK3_skl=X0|sK4_skl=topstr_closure(sK0_skl,sK7_skl(sK29_skl(X0,sK3_skl))))),
% 8.19/1.48    inference(resolution,[status(thm)],[f313,f92])).
% 8.19/1.48  fof(f1186,plain,(
% 8.19/1.48    ![X0]: (in(sK29_skl(X0,sK3_skl),X0)|sK3_skl=X0|sK29_skl(X0,sK3_skl)=sK8_skl(sK29_skl(X0,sK3_skl)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f313,f93])).
% 8.19/1.48  fof(f1188,plain,(
% 8.19/1.48    ![X0]: (in(sK29_skl(X0,sK3_skl),X0)|sK3_skl=X0|in(sK29_skl(X0,sK3_skl),the_carrier(sK1_skl)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f313,f89])).
% 8.19/1.48  fof(f1204,plain,(
% 8.19/1.48    ![X0]: (in(sK29_skl(sK2_skl,X0),X0)|X0=sK2_skl|sK5_skl(sK29_skl(sK2_skl,X0))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,X0)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,X0))))))),
% 8.19/1.48    inference(resolution,[status(thm)],[f313,f87])).
% 8.19/1.48  fof(f1205,plain,(
% 8.19/1.48    ![X0]: (in(sK29_skl(sK2_skl,X0),X0)|X0=sK2_skl|sK29_skl(sK2_skl,X0)=sK6_skl(sK29_skl(sK2_skl,X0)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f313,f86])).
% 8.19/1.48  fof(f1206,plain,(
% 8.19/1.48    ![X0]: (in(sK29_skl(sK2_skl,X0),X0)|X0=sK2_skl|sK4_skl=topstr_closure(sK0_skl,sK5_skl(sK29_skl(sK2_skl,X0))))),
% 8.19/1.48    inference(resolution,[status(thm)],[f313,f85])).
% 8.19/1.48  fof(f1256,plain,(
% 8.19/1.48    finite(sK19_skl(sK11_skl))|empty(sK11_skl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f318,f189])).
% 8.19/1.48  fof(f1257,plain,(
% 8.19/1.48    finite(sK13_skl(sK11_skl))|empty(sK11_skl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f318,f134])).
% 8.19/1.48  fof(f1258,plain,(
% 8.19/1.48    finite(sK12_skl(sK11_skl))|empty(sK11_skl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f318,f125])).
% 8.19/1.48  fof(f1261,definition,(
% 8.19/1.48    sQ153_spl <=> (finite(sK19_skl(sK11_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1264,definition,(
% 8.19/1.48    sQ154_spl <=> (empty(sK11_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1265,plain,(
% 8.19/1.48    empty(sK11_skl)|~sQ154_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1264])).
% 8.19/1.48  fof(f1267,plain,(
% 8.19/1.48    sQ153_spl|sQ154_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1256,f1261,f1264])).
% 8.19/1.48  fof(f1268,definition,(
% 8.19/1.48    sQ155_spl <=> (finite(sK13_skl(sK11_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1271,plain,(
% 8.19/1.48    sQ155_spl|sQ154_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1257,f1268,f1264])).
% 8.19/1.48  fof(f1272,definition,(
% 8.19/1.48    sQ156_spl <=> (finite(sK12_skl(sK11_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1275,plain,(
% 8.19/1.48    sQ156_spl|sQ154_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1258,f1272,f1264])).
% 8.19/1.48  fof(f1276,plain,(
% 8.19/1.48    $false|~sQ154_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1265,f121])).
% 8.19/1.48  fof(f1277,plain,(
% 8.19/1.48    ~sQ154_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f1276])).
% 8.19/1.48  fof(f1278,plain,(
% 8.19/1.48    ![X0]: (~element(X0,powerset(sK18_skl(sK26_skl)))|finite(X0))),
% 8.19/1.48    inference(resolution,[status(thm)],[f319,f257])).
% 8.19/1.48  fof(f1293,plain,(
% 8.19/1.48    ![X0,X1]: (rel_str(netstr_restr_to_element(sK0_skl,X0,X1))|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(X0)|~net_str(X0,sK0_skl)|~element(X1,the_carrier(X0))|~sQ53_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1076,f245])).
% 8.19/1.48  fof(f1294,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK0_skl))|~one_sorted_str(sK0_skl)|~sQ53_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1076,f265])).
% 8.19/1.48  fof(f1295,plain,(
% 8.19/1.48    rel_str(sK1_skl)|~sQ53_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1076,f81])).
% 8.19/1.48  fof(f1296,definition,(
% 8.19/1.48    ![X0,X1]: (sQ157_spl <=> (rel_str(netstr_restr_to_element(sK0_skl,X0,X1))|empty_carrier(X0)|~net_str(X0,sK0_skl)|~element(X1,the_carrier(X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1299,plain,(
% 8.19/1.48    sQ157_spl|sQ20_spl|~sQ53_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1293,f1296,f418,f641])).
% 8.19/1.48  fof(f1300,definition,(
% 8.19/1.48    sQ158_spl <=> (rel_str(sK27_skl(sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1301,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK0_skl))|~sQ158_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1300])).
% 8.19/1.48  fof(f1303,plain,(
% 8.19/1.48    sQ158_spl|~sQ53_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1294,f1300,f641])).
% 8.19/1.48  fof(f1324,definition,(
% 8.19/1.48    sQ160_spl <=> (sK3_skl=sK2_skl)),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1325,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|~sQ160_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1324])).
% 8.19/1.48  fof(f1327,definition,(
% 8.19/1.48    sQ161_spl <=> (sK7_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(sK29_skl(sK2_skl,sK3_skl))))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1328,plain,(
% 8.19/1.48    sK7_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(sK29_skl(sK2_skl,sK3_skl)))))|~sQ161_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1327])).
% 8.19/1.48  fof(f1330,definition,(
% 8.19/1.48    sQ162_spl <=> (sK5_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl))))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1331,plain,(
% 8.19/1.48    sK5_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))))|~sQ162_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1330])).
% 8.19/1.48  fof(f1334,definition,(
% 8.19/1.48    sQ163_spl <=> (sK29_skl(sK2_skl,sK3_skl)=sK6_skl(sK29_skl(sK2_skl,sK3_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1335,plain,(
% 8.19/1.48    sK29_skl(sK2_skl,sK3_skl)=sK6_skl(sK29_skl(sK2_skl,sK3_skl))|~sQ163_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1334])).
% 8.19/1.48  fof(f1338,definition,(
% 8.19/1.48    sQ164_spl <=> (sK4_skl=topstr_closure(sK0_skl,sK5_skl(sK29_skl(sK2_skl,sK3_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1339,plain,(
% 8.19/1.48    sK4_skl=topstr_closure(sK0_skl,sK5_skl(sK29_skl(sK2_skl,sK3_skl)))|~sQ164_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1338])).
% 8.19/1.48  fof(f1342,definition,(
% 8.19/1.48    sQ165_spl <=> (in(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1343,plain,(
% 8.19/1.48    in(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~sQ165_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1342])).
% 8.19/1.48  fof(f1352,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK4_skl=topstr_closure(sK0_skl,sK7_skl(sK29_skl(sK2_skl,sK3_skl)))|sK5_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1184,f87])).
% 8.19/1.48  fof(f1353,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK4_skl=topstr_closure(sK0_skl,sK7_skl(sK29_skl(sK2_skl,sK3_skl)))|sK29_skl(sK2_skl,sK3_skl)=sK6_skl(sK29_skl(sK2_skl,sK3_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1184,f86])).
% 8.19/1.48  fof(f1354,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK4_skl=topstr_closure(sK0_skl,sK7_skl(sK29_skl(sK2_skl,sK3_skl)))|sK4_skl=topstr_closure(sK0_skl,sK5_skl(sK29_skl(sK2_skl,sK3_skl)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1184,f85])).
% 8.19/1.48  fof(f1363,definition,(
% 8.19/1.48    sQ166_spl <=> (sK4_skl=topstr_closure(sK0_skl,sK7_skl(sK29_skl(sK2_skl,sK3_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1364,plain,(
% 8.19/1.48    sK4_skl=topstr_closure(sK0_skl,sK7_skl(sK29_skl(sK2_skl,sK3_skl)))|~sQ166_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1363])).
% 8.19/1.48  fof(f1366,plain,(
% 8.19/1.48    sQ160_spl|sQ166_spl|sQ162_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1352,f1324,f1363,f1330])).
% 8.19/1.48  fof(f1367,plain,(
% 8.19/1.48    sQ160_spl|sQ166_spl|sQ163_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1353,f1324,f1363,f1334])).
% 8.19/1.48  fof(f1368,plain,(
% 8.19/1.48    sQ160_spl|sQ166_spl|sQ164_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1354,f1324,f1363,f1338])).
% 8.19/1.48  fof(f1370,plain,(
% 8.19/1.48    $false|~sQ160_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1325,f96])).
% 8.19/1.48  fof(f1371,plain,(
% 8.19/1.48    ~sQ160_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f1370])).
% 8.19/1.48  fof(f1372,plain,(
% 8.19/1.48    one_sorted_str(sK27_skl(sK0_skl))|~sQ158_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1301,f247])).
% 8.19/1.48  fof(f1373,plain,(
% 8.19/1.48    one_sorted_str(sK1_skl)|~sQ53_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1295,f247])).
% 8.19/1.48  fof(f1380,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK29_skl(sK2_skl,sK3_skl)=sK8_skl(sK29_skl(sK2_skl,sK3_skl))|sK5_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1186,f87])).
% 8.19/1.48  fof(f1381,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK29_skl(sK2_skl,sK3_skl)=sK8_skl(sK29_skl(sK2_skl,sK3_skl))|sK29_skl(sK2_skl,sK3_skl)=sK6_skl(sK29_skl(sK2_skl,sK3_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1186,f86])).
% 8.19/1.48  fof(f1382,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK29_skl(sK2_skl,sK3_skl)=sK8_skl(sK29_skl(sK2_skl,sK3_skl))|sK4_skl=topstr_closure(sK0_skl,sK5_skl(sK29_skl(sK2_skl,sK3_skl)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1186,f85])).
% 8.19/1.48  fof(f1391,definition,(
% 8.19/1.48    sQ167_spl <=> (sK29_skl(sK2_skl,sK3_skl)=sK8_skl(sK29_skl(sK2_skl,sK3_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1392,plain,(
% 8.19/1.48    sK29_skl(sK2_skl,sK3_skl)=sK8_skl(sK29_skl(sK2_skl,sK3_skl))|~sQ167_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1391])).
% 8.19/1.48  fof(f1394,plain,(
% 8.19/1.48    sQ160_spl|sQ167_spl|sQ162_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1380,f1324,f1391,f1330])).
% 8.19/1.48  fof(f1395,plain,(
% 8.19/1.48    sQ160_spl|sQ167_spl|sQ163_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1381,f1324,f1391,f1334])).
% 8.19/1.48  fof(f1396,plain,(
% 8.19/1.48    sQ160_spl|sQ167_spl|sQ164_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1382,f1324,f1391,f1338])).
% 8.19/1.48  fof(f1409,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|in(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|in(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1188,f82])).
% 8.19/1.48  fof(f1423,plain,(
% 8.19/1.48    sQ160_spl|sQ165_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1409,f1324,f1342])).
% 8.19/1.48  fof(f1467,definition,(
% 8.19/1.48    sQ171_spl <=> (in(sK29_skl(sK2_skl,sK3_skl),sK3_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1468,plain,(
% 8.19/1.48    in(sK29_skl(sK2_skl,sK3_skl),sK3_skl)|~sQ171_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1467])).
% 8.19/1.48  fof(f1469,plain,(
% 8.19/1.48    ~in(sK29_skl(sK2_skl,sK3_skl),sK3_skl)|sQ171_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1467])).
% 8.19/1.48  fof(f1492,plain,(
% 8.19/1.48    ![X0]: (~net_str(X0,sK1_skl)|rel_str(X0)|~sQ53_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1373,f303])).
% 8.19/1.48  fof(f1493,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(sK1_skl)|empty_carrier(X0)|~net_str(X0,sK1_skl)|~netstr_induced_subset(X1,sK1_skl,X0)|element(X1,powerset(the_carrier(sK1_skl)))|~sQ53_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1373,f305])).
% 8.19/1.48  fof(f1494,definition,(
% 8.19/1.48    ![X0,X1]: (sQ173_spl <=> (empty_carrier(X0)|~net_str(X0,sK1_skl)|~netstr_induced_subset(X1,sK1_skl,X0)|element(X1,powerset(the_carrier(sK1_skl)))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1497,plain,(
% 8.19/1.48    sQ44_spl|sQ173_spl|~sQ53_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1493,f594,f1494,f641])).
% 8.19/1.48  fof(f1562,plain,(
% 8.19/1.48    ![X0]: (~net_str(X0,sK27_skl(sK0_skl))|rel_str(X0)|~sQ158_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1372,f303])).
% 8.19/1.48  fof(f1638,plain,(
% 8.19/1.48    empty(relation_rng(sK10_skl(sK0_skl)))|~top_str(sK0_skl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f749,f76])).
% 8.19/1.48  fof(f1639,definition,(
% 8.19/1.48    sQ185_spl <=> (empty(relation_rng(sK10_skl(sK0_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1642,plain,(
% 8.19/1.48    sQ185_spl|~sQ0_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1638,f1639,f328])).
% 8.19/1.48  fof(f1679,definition,(
% 8.19/1.48    sQ188_spl <=> (rel_str(sK1_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1681,plain,(
% 8.19/1.48    ~rel_str(sK1_skl)|sQ188_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1679])).
% 8.19/1.48  fof(f1687,definition,(
% 8.19/1.48    sQ190_spl <=> (one_sorted_str(sK1_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1689,plain,(
% 8.19/1.48    ~one_sorted_str(sK1_skl)|sQ190_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1687])).
% 8.19/1.48  fof(f1760,plain,(
% 8.19/1.48    ![X0,X1]: (~in(X0,sK3_skl)|empty_carrier(X1)|~one_sorted_str(X1)|empty_carrier(sK1_skl)|~net_str(sK1_skl,X1)|netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))=net_str_of(X1,the_carrier(netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))),the_InternalRel(netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))),the_mapping(X1,netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0)))))),
% 8.19/1.48    inference(resolution,[status(thm)],[f91,f811])).
% 8.19/1.48  fof(f1761,definition,(
% 8.19/1.48    ![X0,X1]: (sQ209_spl <=> (~in(X0,sK3_skl)|empty_carrier(X1)|~one_sorted_str(X1)|~net_str(sK1_skl,X1)|netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))=net_str_of(X1,the_carrier(netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))),the_InternalRel(netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))),the_mapping(X1,netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1762,plain,(
% 8.19/1.48    ![X0,X1]: (~in(X0,sK3_skl)|empty_carrier(X1)|~one_sorted_str(X1)|~net_str(sK1_skl,X1)|netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))=net_str_of(X1,the_carrier(netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))),the_InternalRel(netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))),the_mapping(X1,netstr_restr_to_element(X1,sK1_skl,sK8_skl(X0))))|~sQ209_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1761])).
% 8.19/1.48  fof(f1764,plain,(
% 8.19/1.48    sQ209_spl|sQ44_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1760,f1761,f594])).
% 8.19/1.48  fof(f1765,plain,(
% 8.19/1.48    empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(sK1_skl)|~transitive_relstr(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,sK0_skl)|~sQ126_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1106,f278])).
% 8.19/1.48  fof(f1767,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ44_spl|~sQ46_spl|~sQ45_spl|~sQ111_spl|~sQ126_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1765,f418,f641,f594,f601,f597,f1014,f1105])).
% 8.19/1.48  fof(f1769,plain,(
% 8.19/1.48    ![X0]: (~in(X0,sK3_skl)|~in(the_carrier(sK1_skl),X0))),
% 8.19/1.48    inference(resolution,[status(thm)],[f89,f288])).
% 8.19/1.48  fof(f1770,plain,(
% 8.19/1.48    ![X0,X1]: (~in(X0,sK2_skl)|empty_carrier(X1)|~one_sorted_str(X1)|empty_carrier(sK1_skl)|~net_str(sK1_skl,X1)|netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))=net_str_of(X1,the_carrier(netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))),the_InternalRel(netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))),the_mapping(X1,netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0)))))),
% 8.19/1.48    inference(resolution,[status(thm)],[f84,f811])).
% 8.19/1.48  fof(f1771,definition,(
% 8.19/1.48    ![X0,X1]: (sQ210_spl <=> (~in(X0,sK2_skl)|empty_carrier(X1)|~one_sorted_str(X1)|~net_str(sK1_skl,X1)|netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))=net_str_of(X1,the_carrier(netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))),the_InternalRel(netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))),the_mapping(X1,netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1772,plain,(
% 8.19/1.48    ![X0,X1]: (~in(X0,sK2_skl)|empty_carrier(X1)|~one_sorted_str(X1)|~net_str(sK1_skl,X1)|netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))=net_str_of(X1,the_carrier(netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))),the_InternalRel(netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))),the_mapping(X1,netstr_restr_to_element(X1,sK1_skl,sK6_skl(X0))))|~sQ210_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1771])).
% 8.19/1.48  fof(f1774,plain,(
% 8.19/1.48    sQ210_spl|sQ44_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1770,f1771,f594])).
% 8.19/1.48  fof(f1776,plain,(
% 8.19/1.48    ![X0]: (~in(X0,sK2_skl)|~in(the_carrier(sK1_skl),X0))),
% 8.19/1.48    inference(resolution,[status(thm)],[f82,f288])).
% 8.19/1.48  fof(f1781,plain,(
% 8.19/1.48    ![X0,X1]: (function(the_mapping(sK26_skl,netstr_restr_to_element(sK26_skl,X0,X1)))|empty_carrier(sK26_skl)|~one_sorted_str(sK26_skl)|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1078,f245])).
% 8.19/1.48  fof(f1782,plain,(
% 8.19/1.48    function(the_mapping(sK26_skl,sK27_skl(sK26_skl)))|~one_sorted_str(sK26_skl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1078,f265])).
% 8.19/1.48  fof(f1783,definition,(
% 8.19/1.48    ![X0,X1]: (sQ211_spl <=> (function(the_mapping(sK26_skl,netstr_restr_to_element(sK26_skl,X0,X1)))|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1784,plain,(
% 8.19/1.48    ![X0,X1]: (function(the_mapping(sK26_skl,netstr_restr_to_element(sK26_skl,X0,X1)))|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))|~sQ211_spl)),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1783])).
% 8.19/1.48  fof(f1786,plain,(
% 8.19/1.48    sQ211_spl|sQ77_spl|~sQ140_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1781,f1783,f817,f1168])).
% 8.19/1.48  fof(f1787,definition,(
% 8.19/1.48    sQ212_spl <=> (function(the_mapping(sK26_skl,sK27_skl(sK26_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1790,plain,(
% 8.19/1.48    sQ212_spl|~sQ140_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1782,f1787,f1168])).
% 8.19/1.48  fof(f1793,plain,(
% 8.19/1.48    ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|relation_rng_as_subset(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1))=relation_rng(the_mapping(X0,X1)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1082,f290])).
% 8.19/1.48  fof(f1794,plain,(
% 8.19/1.48    ![X0,X1]: (rel_str(netstr_restr_to_element(sK1_skl,X0,X1))|empty_carrier(sK1_skl)|~one_sorted_str(sK1_skl)|empty_carrier(X0)|~net_str(X0,sK1_skl)|~element(X1,the_carrier(X0))|~sQ53_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1492,f245])).
% 8.19/1.48  fof(f1795,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK1_skl))|~one_sorted_str(sK1_skl)|~sQ53_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1492,f265])).
% 8.19/1.48  fof(f1796,definition,(
% 8.19/1.48    ![X0,X1]: (sQ213_spl <=> (rel_str(netstr_restr_to_element(sK1_skl,X0,X1))|empty_carrier(X0)|~net_str(X0,sK1_skl)|~element(X1,the_carrier(X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1799,plain,(
% 8.19/1.48    sQ213_spl|sQ44_spl|~sQ190_spl|~sQ53_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1794,f1796,f594,f1687,f641])).
% 8.19/1.48  fof(f1800,definition,(
% 8.19/1.48    sQ214_spl <=> (rel_str(sK27_skl(sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f1801,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK1_skl))|~sQ214_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f1800])).
% 8.19/1.48  fof(f1803,plain,(
% 8.19/1.48    sQ214_spl|~sQ190_spl|~sQ53_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f1795,f1800,f1687,f641])).
% 8.19/1.48  fof(f1804,plain,(
% 8.19/1.48    $false|~sQ53_spl|sQ190_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1689,f1373])).
% 8.19/1.48  fof(f1805,plain,(
% 8.19/1.48    ~sQ53_spl|sQ190_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f1804])).
% 8.19/1.48  fof(f1843,plain,(
% 8.19/1.48    one_sorted_str(sK27_skl(sK1_skl))|~sQ214_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1801,f247])).
% 8.19/1.48  fof(f1847,plain,(
% 8.19/1.48    ![X0]: (~net_str(X0,sK27_skl(sK1_skl))|rel_str(X0)|~sQ214_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1843,f303])).
% 8.19/1.48  fof(f1873,plain,(
% 8.19/1.48    sK5_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))))|~sQ163_spl|~sQ162_spl),
% 8.19/1.48    inference(backward_demodulation,[status(thm)],[f1335,f1331])).
% 8.19/1.48  fof(f1875,plain,(
% 8.19/1.48    sK5_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))))|~sQ163_spl|~sQ162_spl),
% 8.19/1.48    inference(forward_demodulation,[status(thm)],[f1335,f1873])).
% 8.19/1.48  fof(f2129,plain,(
% 8.19/1.48    $false|~sQ53_spl|sQ188_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f1681,f1295])).
% 8.19/1.48  fof(f2130,plain,(
% 8.19/1.48    ~sQ53_spl|sQ188_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2129])).
% 8.19/1.48  fof(f2200,plain,(
% 8.19/1.48    ~in(the_carrier(sK1_skl),sK2_skl)|~in(the_carrier(sK1_skl),sK2_skl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1776,f82])).
% 8.19/1.48  fof(f2201,definition,(
% 8.19/1.48    sQ245_spl <=> (in(the_carrier(sK1_skl),sK2_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2204,definition,(
% 8.19/1.48    sQ246_spl <=> (in(the_carrier(sK1_skl),sK3_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2208,plain,(
% 8.19/1.48    ~sQ245_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2200,f2201])).
% 8.19/1.48  fof(f2211,plain,(
% 8.19/1.48    ~in(the_carrier(sK1_skl),sK3_skl)|~in(the_carrier(sK1_skl),sK3_skl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1769,f89])).
% 8.19/1.48  fof(f2213,plain,(
% 8.19/1.48    ~sQ246_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2211,f2204])).
% 8.19/1.48  fof(f2301,plain,(
% 8.19/1.48    ![X0]: (~element(X0,powerset(sK10_skl(sK0_skl)))|finite(X0)|~top_str(sK0_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f325,f76])).
% 8.19/1.48  fof(f2302,definition,(
% 8.19/1.48    ![X0]: (sQ256_spl <=> (~element(X0,powerset(sK10_skl(sK0_skl)))|finite(X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2305,plain,(
% 8.19/1.48    sQ256_spl|~sQ0_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2301,f2302,f328])).
% 8.19/1.48  fof(f2348,plain,(
% 8.19/1.48    ![X0]: (~element(relation_rng(relation_rng(sK20_skl(X0))),powerset(the_carrier(sK0_skl)))|nowhere_dense(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|~sQ51_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f986,f632])).
% 8.19/1.48  fof(f2349,plain,(
% 8.19/1.48    ![X0]: (~element(relation_rng(relation_rng(sK20_skl(X0))),powerset(the_carrier(sK0_skl)))|open_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|~sQ50_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f986,f627])).
% 8.19/1.48  fof(f2350,plain,(
% 8.19/1.48    ![X0]: (~element(relation_rng(relation_rng(sK20_skl(X0))),powerset(the_carrier(sK0_skl)))|closed_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|~sQ35_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f986,f530])).
% 8.19/1.48  fof(f2351,plain,(
% 8.19/1.48    ![X0]: (~element(relation_rng(relation_rng(sK20_skl(X0))),powerset(the_carrier(sK0_skl)))|boundary_set(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f986,f527])).
% 8.19/1.48  fof(f2428,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))|one_sorted_str(netstr_restr_to_element(sK26_skl,X0,X1))|~sQ139_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1166,f247])).
% 8.19/1.48  fof(f2429,plain,(
% 8.19/1.48    finite(sK19_skl(sK18_skl(sK26_skl)))|empty(sK18_skl(sK26_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1278,f189])).
% 8.19/1.48  fof(f2430,plain,(
% 8.19/1.48    finite(sK13_skl(sK18_skl(sK26_skl)))|empty(sK18_skl(sK26_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1278,f134])).
% 8.19/1.48  fof(f2431,plain,(
% 8.19/1.48    finite(sK12_skl(sK18_skl(sK26_skl)))|empty(sK18_skl(sK26_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1278,f125])).
% 8.19/1.48  fof(f2434,definition,(
% 8.19/1.48    sQ277_spl <=> (finite(sK19_skl(sK18_skl(sK26_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2437,definition,(
% 8.19/1.48    sQ278_spl <=> (empty(sK18_skl(sK26_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2438,plain,(
% 8.19/1.48    empty(sK18_skl(sK26_skl))|~sQ278_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2437])).
% 8.19/1.48  fof(f2440,plain,(
% 8.19/1.48    sQ277_spl|sQ278_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2429,f2434,f2437])).
% 8.19/1.48  fof(f2441,definition,(
% 8.19/1.48    sQ279_spl <=> (finite(sK13_skl(sK18_skl(sK26_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2444,plain,(
% 8.19/1.48    sQ279_spl|sQ278_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2430,f2441,f2437])).
% 8.19/1.48  fof(f2445,definition,(
% 8.19/1.48    sQ280_spl <=> (finite(sK12_skl(sK18_skl(sK26_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2448,plain,(
% 8.19/1.48    sQ280_spl|sQ278_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2431,f2445,f2437])).
% 8.19/1.48  fof(f2450,plain,(
% 8.19/1.48    empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~net_str(sK1_skl,sK0_skl)|sK28_skl(sK1_skl,sK0_skl)=net_str_of(sK0_skl,the_carrier(sK28_skl(sK1_skl,sK0_skl)),the_InternalRel(sK28_skl(sK1_skl,sK0_skl)),the_mapping(sK0_skl,sK28_skl(sK1_skl,sK0_skl)))|~sQ113_spl|~sQ109_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1027,f1012])).
% 8.19/1.48  fof(f2451,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(sK1_skl)|~transitive_relstr(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,sK0_skl)|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~transitive_relstr(sK28_skl(sK1_skl,sK0_skl))|~element(X0,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|subnetstr_of_element(sK0_skl,sK28_skl(sK1_skl,sK0_skl),X0)=netstr_restr_to_element(sK0_skl,sK28_skl(sK1_skl,sK0_skl),X0)|~sQ113_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1027,f1005])).
% 8.19/1.48  fof(f2452,plain,(
% 8.19/1.48    rel_str(sK28_skl(sK1_skl,sK0_skl))|~sQ113_spl|~sQ53_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1027,f1076])).
% 8.19/1.48  fof(f2453,definition,(
% 8.19/1.48    sQ281_spl <=> (sK28_skl(sK1_skl,sK0_skl)=net_str_of(sK0_skl,the_carrier(sK28_skl(sK1_skl,sK0_skl)),the_InternalRel(sK28_skl(sK1_skl,sK0_skl)),the_mapping(sK0_skl,sK28_skl(sK1_skl,sK0_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2456,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|~sQ111_spl|sQ281_spl|~sQ113_spl|~sQ109_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2450,f418,f641,f1014,f2453,f1026,f1000])).
% 8.19/1.48  fof(f2457,definition,(
% 8.19/1.48    ![X0]: (sQ282_spl <=> (~element(X0,the_carrier(sK28_skl(sK1_skl,sK0_skl)))|subnetstr_of_element(sK0_skl,sK28_skl(sK1_skl,sK0_skl),X0)=netstr_restr_to_element(sK0_skl,sK28_skl(sK1_skl,sK0_skl),X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2460,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ44_spl|~sQ46_spl|~sQ45_spl|~sQ111_spl|~sQ110_spl|sQ282_spl|~sQ113_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2451,f418,f641,f594,f601,f597,f1014,f1007,f2457,f1026])).
% 8.19/1.48  fof(f2461,plain,(
% 8.19/1.48    one_sorted_str(sK28_skl(sK1_skl,sK0_skl))|~sQ113_spl|~sQ53_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f2452,f247])).
% 8.19/1.48  fof(f2466,plain,(
% 8.19/1.48    ![X0,X1]: (empty_carrier(sK28_skl(sK1_skl,sK0_skl))|empty_carrier(X0)|~net_str(X0,sK28_skl(sK1_skl,sK0_skl))|~netstr_induced_subset(X1,sK28_skl(sK1_skl,sK0_skl),X0)|element(X1,powerset(the_carrier(sK28_skl(sK1_skl,sK0_skl))))|~sQ113_spl|~sQ53_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f2461,f305])).
% 8.19/1.48  fof(f2467,definition,(
% 8.19/1.48    ![X0,X1]: (sQ283_spl <=> (empty_carrier(X0)|~net_str(X0,sK28_skl(sK1_skl,sK0_skl))|~netstr_induced_subset(X1,sK28_skl(sK1_skl,sK0_skl),X0)|element(X1,powerset(the_carrier(sK28_skl(sK1_skl,sK0_skl))))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2470,plain,(
% 8.19/1.48    sQ126_spl|sQ283_spl|~sQ113_spl|~sQ53_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2466,f1105,f2467,f1026,f641])).
% 8.19/1.48  fof(f2472,plain,(
% 8.19/1.48    ~one_sorted_str(sK26_skl)|~sQ278_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f2438,f175])).
% 8.19/1.48  fof(f2479,plain,(
% 8.19/1.48    ~sQ140_spl|~sQ278_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2472,f1168,f2437])).
% 8.19/1.48  fof(f2512,definition,(
% 8.19/1.48    sQ290_spl <=> (relation_of2(the_InternalRel(sK27_skl(sK26_skl)),the_carrier(sK27_skl(sK26_skl)),the_carrier(sK27_skl(sK26_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2514,plain,(
% 8.19/1.48    ~relation_of2(the_InternalRel(sK27_skl(sK26_skl)),the_carrier(sK27_skl(sK26_skl)),the_carrier(sK27_skl(sK26_skl)))|sQ290_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2512])).
% 8.19/1.48  fof(f2525,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK27_skl(sK0_skl)))|~one_sorted_str(sK27_skl(sK0_skl))|~sQ158_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1562,f265])).
% 8.19/1.48  fof(f2529,definition,(
% 8.19/1.48    sQ294_spl <=> (one_sorted_str(sK27_skl(sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2531,plain,(
% 8.19/1.48    ~one_sorted_str(sK27_skl(sK0_skl))|sQ294_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2529])).
% 8.19/1.48  fof(f2533,definition,(
% 8.19/1.48    sQ295_spl <=> (rel_str(sK27_skl(sK27_skl(sK0_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2534,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK27_skl(sK0_skl)))|~sQ295_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2533])).
% 8.19/1.48  fof(f2536,plain,(
% 8.19/1.48    sQ295_spl|~sQ294_spl|~sQ158_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2525,f2533,f2529,f1300])).
% 8.19/1.48  fof(f2537,plain,(
% 8.19/1.48    $false|~sQ158_spl|sQ294_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f2531,f1372])).
% 8.19/1.48  fof(f2538,plain,(
% 8.19/1.48    ~sQ158_spl|sQ294_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2537])).
% 8.19/1.48  fof(f2539,plain,(
% 8.19/1.48    ![X0]: (~in(X0,sK3_skl)|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))=net_str_of(sK0_skl,the_carrier(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))),the_InternalRel(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))),the_mapping(sK0_skl,netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))))|~sQ209_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1762,f81])).
% 8.19/1.48  fof(f2540,definition,(
% 8.19/1.48    ![X0]: (sQ296_spl <=> (~in(X0,sK3_skl)|netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))=net_str_of(sK0_skl,the_carrier(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))),the_InternalRel(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))),the_mapping(sK0_skl,netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2543,plain,(
% 8.19/1.48    sQ296_spl|sQ20_spl|~sQ53_spl|~sQ209_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2539,f2540,f418,f641,f1761])).
% 8.19/1.48  fof(f2544,plain,(
% 8.19/1.48    ![X0]: (~in(X0,sK2_skl)|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))=net_str_of(sK0_skl,the_carrier(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))),the_InternalRel(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))),the_mapping(sK0_skl,netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))))|~sQ210_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1772,f81])).
% 8.19/1.48  fof(f2545,definition,(
% 8.19/1.48    ![X0]: (sQ297_spl <=> (~in(X0,sK2_skl)|netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))=net_str_of(sK0_skl,the_carrier(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))),the_InternalRel(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))),the_mapping(sK0_skl,netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2548,plain,(
% 8.19/1.48    sQ297_spl|sQ20_spl|~sQ53_spl|~sQ210_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2544,f2545,f418,f641,f1771])).
% 8.19/1.48  fof(f2549,plain,(
% 8.19/1.48    one_sorted_str(sK27_skl(sK27_skl(sK0_skl)))|~sQ295_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f2534,f247])).
% 8.19/1.48  fof(f2562,plain,(
% 8.19/1.48    ~in(sK29_skl(sK2_skl,sK3_skl),sK2_skl)|element(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~sQ163_spl),
% 8.19/1.48    inference(paramodulation,[status(thm)],[f1335,f84])).
% 8.19/1.48  fof(f2563,definition,(
% 8.19/1.48    sQ300_spl <=> (in(sK29_skl(sK2_skl,sK3_skl),sK2_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2566,definition,(
% 8.19/1.48    sQ301_spl <=> (element(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2567,plain,(
% 8.19/1.48    element(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~sQ301_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2566])).
% 8.19/1.48  fof(f2569,plain,(
% 8.19/1.48    ~sQ300_spl|sQ301_spl|~sQ163_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2562,f2563,f2566,f1334])).
% 8.19/1.48  fof(f2580,plain,(
% 8.19/1.48    ![X0,X1,X2]: (function(the_mapping(sK26_skl,netstr_restr_to_element(sK26_skl,netstr_restr_to_element(sK26_skl,X0,X1),X2)))|empty_carrier(netstr_restr_to_element(sK26_skl,X0,X1))|~element(X2,the_carrier(netstr_restr_to_element(sK26_skl,X0,X1)))|empty_carrier(sK26_skl)|~one_sorted_str(sK26_skl)|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))|~sQ211_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1784,f245])).
% 8.19/1.48  fof(f2582,definition,(
% 8.19/1.48    ![X0,X1,X2]: (sQ302_spl <=> (function(the_mapping(sK26_skl,netstr_restr_to_element(sK26_skl,netstr_restr_to_element(sK26_skl,X0,X1),X2)))|empty_carrier(netstr_restr_to_element(sK26_skl,X0,X1))|~element(X2,the_carrier(netstr_restr_to_element(sK26_skl,X0,X1)))|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2585,plain,(
% 8.19/1.48    sQ302_spl|sQ77_spl|~sQ140_spl|~sQ211_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2580,f2582,f817,f1168,f1783])).
% 8.19/1.48  fof(f2590,plain,(
% 8.19/1.48    ~one_sorted_str(sK0_skl)|relation_rng_as_subset(the_carrier(sK28_skl(sK1_skl,sK0_skl)),the_carrier(sK0_skl),the_mapping(sK0_skl,sK28_skl(sK1_skl,sK0_skl)))=relation_rng(the_mapping(sK0_skl,sK28_skl(sK1_skl,sK0_skl)))|~sQ113_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1793,f1027])).
% 8.19/1.48  fof(f2591,plain,(
% 8.19/1.48    ![X0,X1,X2]: (~one_sorted_str(X0)|relation_rng_as_subset(the_carrier(netstr_restr_to_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,netstr_restr_to_element(X0,X1,X2)))=relation_rng(the_mapping(X0,netstr_restr_to_element(X0,X1,X2)))|empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1)))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1793,f245])).
% 8.19/1.48  fof(f2593,plain,(
% 8.19/1.48    ~one_sorted_str(sK0_skl)|relation_rng_as_subset(the_carrier(sK1_skl),the_carrier(sK0_skl),the_mapping(sK0_skl,sK1_skl))=relation_rng(the_mapping(sK0_skl,sK1_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f1793,f81])).
% 8.19/1.48  fof(f2594,definition,(
% 8.19/1.48    sQ304_spl <=> (relation_rng_as_subset(the_carrier(sK28_skl(sK1_skl,sK0_skl)),the_carrier(sK0_skl),the_mapping(sK0_skl,sK28_skl(sK1_skl,sK0_skl)))=relation_rng(the_mapping(sK0_skl,sK28_skl(sK1_skl,sK0_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2597,plain,(
% 8.19/1.48    ~sQ53_spl|sQ304_spl|~sQ113_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2590,f641,f2594,f1026])).
% 8.19/1.48  fof(f2598,plain,(
% 8.19/1.48    ![X0,X1,X2]: (~one_sorted_str(X0)|relation_rng_as_subset(the_carrier(netstr_restr_to_element(X0,X1,X2)),the_carrier(X0),the_mapping(X0,netstr_restr_to_element(X0,X1,X2)))=relation_rng(the_mapping(X0,netstr_restr_to_element(X0,X1,X2)))|empty_carrier(X0)|empty_carrier(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X1)))),
% 8.19/1.48    inference(duplicate_literals_removal,[status(thm)],[f2591])).
% 8.19/1.48  fof(f2600,definition,(
% 8.19/1.48    sQ305_spl <=> (relation_rng_as_subset(the_carrier(sK1_skl),the_carrier(sK0_skl),the_mapping(sK0_skl,sK1_skl))=relation_rng(the_mapping(sK0_skl,sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2601,plain,(
% 8.19/1.48    relation_rng_as_subset(the_carrier(sK1_skl),the_carrier(sK0_skl),the_mapping(sK0_skl,sK1_skl))=relation_rng(the_mapping(sK0_skl,sK1_skl))|~sQ305_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2600])).
% 8.19/1.48  fof(f2603,plain,(
% 8.19/1.48    ~sQ53_spl|sQ305_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2593,f641,f2600])).
% 8.19/1.48  fof(f2604,plain,(
% 8.19/1.48    in(sK29_skl(sK2_skl,sK3_skl),sK3_skl)|~in(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~netstr_induced_subset(sK5_skl(sK29_skl(sK2_skl,sK3_skl)),sK0_skl,sK1_skl)|~element(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~sK4_skl=topstr_closure(sK0_skl,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl)))))|~sQ163_spl|~sQ162_spl),
% 8.19/1.48    inference(paramodulation,[status(thm)],[f1875,f316])).
% 8.19/1.48  fof(f2607,definition,(
% 8.19/1.48    sQ306_spl <=> (netstr_induced_subset(sK5_skl(sK29_skl(sK2_skl,sK3_skl)),sK0_skl,sK1_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2609,plain,(
% 8.19/1.48    ~netstr_induced_subset(sK5_skl(sK29_skl(sK2_skl,sK3_skl)),sK0_skl,sK1_skl)|sQ306_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2607])).
% 8.19/1.48  fof(f2610,definition,(
% 8.19/1.48    sQ307_spl <=> (sK4_skl=topstr_closure(sK0_skl,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2612,plain,(
% 8.19/1.48    ~sK4_skl=topstr_closure(sK0_skl,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl)))))|sQ307_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2610])).
% 8.19/1.48  fof(f2613,plain,(
% 8.19/1.48    sQ171_spl|~sQ165_spl|~sQ306_spl|~sQ301_spl|~sQ307_spl|~sQ163_spl|~sQ162_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2604,f1467,f1342,f2607,f2566,f2610,f1334,f1330])).
% 8.19/1.48  fof(f2632,plain,(
% 8.19/1.48    ~sK4_skl=topstr_closure(sK0_skl,sK5_skl(sK29_skl(sK2_skl,sK3_skl)))|~sQ163_spl|~sQ162_spl|sQ307_spl),
% 8.19/1.48    inference(forward_demodulation,[status(thm)],[f1875,f2612])).
% 8.19/1.48  fof(f2633,plain,(
% 8.19/1.48    ~sK4_skl=sK4_skl|~sQ164_spl|~sQ163_spl|~sQ162_spl|sQ307_spl),
% 8.19/1.48    inference(forward_demodulation,[status(thm)],[f1339,f2632])).
% 8.19/1.48  fof(f2634,plain,(
% 8.19/1.48    $false|~sQ164_spl|~sQ163_spl|~sQ162_spl|sQ307_spl),
% 8.19/1.48    inference(trivial_equality_resolution,[status(thm)],[f2633])).
% 8.19/1.48  fof(f2635,plain,(
% 8.19/1.48    ~sQ164_spl|~sQ163_spl|~sQ162_spl|sQ307_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2634])).
% 8.19/1.48  fof(f2642,plain,(
% 8.19/1.48    $false|sQ79_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f835,f226])).
% 8.19/1.48  fof(f2643,plain,(
% 8.19/1.48    sQ79_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2642])).
% 8.19/1.48  fof(f2645,plain,(
% 8.19/1.48    sK7_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(sK29_skl(sK2_skl,sK3_skl)))))|~sQ167_spl|~sQ161_spl),
% 8.19/1.48    inference(forward_demodulation,[status(thm)],[f1392,f1328])).
% 8.19/1.48  fof(f2646,plain,(
% 8.19/1.48    ~sK4_skl=topstr_closure(sK0_skl,sK7_skl(sK29_skl(sK2_skl,sK3_skl)))|~sQ167_spl|~sQ161_spl|sQ307_spl),
% 8.19/1.48    inference(backward_demodulation,[status(thm)],[f2647,f2612])).
% 8.19/1.48  fof(f2647,plain,(
% 8.19/1.48    sK7_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))))|~sQ167_spl|~sQ161_spl),
% 8.19/1.48    inference(forward_demodulation,[status(thm)],[f1392,f2645])).
% 8.19/1.48  fof(f2648,plain,(
% 8.19/1.48    ~sK4_skl=sK4_skl|~sQ166_spl|~sQ167_spl|~sQ161_spl|sQ307_spl),
% 8.19/1.48    inference(forward_demodulation,[status(thm)],[f1364,f2646])).
% 8.19/1.48  fof(f2649,plain,(
% 8.19/1.48    $false|~sQ166_spl|~sQ167_spl|~sQ161_spl|sQ307_spl),
% 8.19/1.48    inference(trivial_equality_resolution,[status(thm)],[f2648])).
% 8.19/1.48  fof(f2650,plain,(
% 8.19/1.48    ~sQ166_spl|~sQ167_spl|~sQ161_spl|sQ307_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2649])).
% 8.19/1.48  fof(f2667,definition,(
% 8.19/1.48    sQ312_spl <=> (one_sorted_str(sK27_skl(sK27_skl(sK0_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2669,plain,(
% 8.19/1.48    ~one_sorted_str(sK27_skl(sK27_skl(sK0_skl)))|sQ312_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2667])).
% 8.19/1.48  fof(f2710,plain,(
% 8.19/1.48    $false|~sQ295_spl|sQ312_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f2669,f2549])).
% 8.19/1.48  fof(f2711,plain,(
% 8.19/1.48    ~sQ295_spl|sQ312_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2710])).
% 8.19/1.48  fof(f2712,plain,(
% 8.19/1.48    ![X0]: (~element(X0,the_carrier(sK1_skl))|~one_sorted_str(sK0_skl)|~net_str(subnetstr_of_element(sK0_skl,sK1_skl,X0),sK0_skl)|subnetstr_of_element(sK0_skl,sK1_skl,X0)=net_str_of(sK0_skl,the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,X0)),the_InternalRel(subnetstr_of_element(sK0_skl,sK1_skl,X0)),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,X0)))|~sQ123_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1085,f238])).
% 8.19/1.48  fof(f2713,definition,(
% 8.19/1.48    ![X0]: (sQ321_spl <=> (~element(X0,the_carrier(sK1_skl))|~net_str(subnetstr_of_element(sK0_skl,sK1_skl,X0),sK0_skl)|subnetstr_of_element(sK0_skl,sK1_skl,X0)=net_str_of(sK0_skl,the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,X0)),the_InternalRel(subnetstr_of_element(sK0_skl,sK1_skl,X0)),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,X0)))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2716,plain,(
% 8.19/1.48    sQ321_spl|~sQ53_spl|~sQ123_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2712,f2713,f641,f1084])).
% 8.19/1.48  fof(f2745,plain,(
% 8.19/1.48    ~in(sK29_skl(sK2_skl,sK3_skl),sK2_skl)|sK3_skl=sK2_skl|~sQ171_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1468,f314])).
% 8.19/1.48  fof(f2747,plain,(
% 8.19/1.48    sK7_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK8_skl(sK29_skl(sK2_skl,sK3_skl)))))|~sQ171_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1468,f94])).
% 8.19/1.48  fof(f2749,plain,(
% 8.19/1.48    sK29_skl(sK2_skl,sK3_skl)=sK8_skl(sK29_skl(sK2_skl,sK3_skl))|~sQ171_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1468,f93])).
% 8.19/1.48  fof(f2751,plain,(
% 8.19/1.48    ~sQ300_spl|sQ160_spl|~sQ171_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2745,f2563,f1324,f1467])).
% 8.19/1.48  fof(f2752,plain,(
% 8.19/1.48    sQ167_spl|~sQ171_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2749,f1391,f1467])).
% 8.19/1.48  fof(f2754,plain,(
% 8.19/1.48    rel_str(sK27_skl(sK27_skl(sK1_skl)))|~one_sorted_str(sK27_skl(sK1_skl))|~sQ214_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1847,f265])).
% 8.19/1.48  fof(f2758,definition,(
% 8.19/1.48    sQ324_spl <=> (one_sorted_str(sK27_skl(sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2760,plain,(
% 8.19/1.48    ~one_sorted_str(sK27_skl(sK1_skl))|sQ324_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2758])).
% 8.19/1.48  fof(f2762,definition,(
% 8.19/1.48    sQ325_spl <=> (rel_str(sK27_skl(sK27_skl(sK1_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2765,plain,(
% 8.19/1.48    sQ325_spl|~sQ324_spl|~sQ214_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2754,f2762,f2758,f1800])).
% 8.19/1.48  fof(f2766,plain,(
% 8.19/1.48    $false|~sQ214_spl|sQ324_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f2760,f1843])).
% 8.19/1.48  fof(f2767,plain,(
% 8.19/1.48    ~sQ214_spl|sQ324_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2766])).
% 8.19/1.48  fof(f2781,definition,(
% 8.19/1.48    sQ328_spl <=> (in(sK8_skl(sK29_skl(sK2_skl,sK3_skl)),the_carrier(sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2783,plain,(
% 8.19/1.48    ~in(sK8_skl(sK29_skl(sK2_skl,sK3_skl)),the_carrier(sK1_skl))|sQ328_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2781])).
% 8.19/1.48  fof(f2784,definition,(
% 8.19/1.48    sQ329_spl <=> (netstr_induced_subset(sK7_skl(sK29_skl(sK2_skl,sK3_skl)),sK0_skl,sK1_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2786,plain,(
% 8.19/1.48    ~netstr_induced_subset(sK7_skl(sK29_skl(sK2_skl,sK3_skl)),sK0_skl,sK1_skl)|sQ329_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2784])).
% 8.19/1.48  fof(f2787,definition,(
% 8.19/1.48    sQ330_spl <=> (element(sK8_skl(sK29_skl(sK2_skl,sK3_skl)),the_carrier(sK1_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f2789,plain,(
% 8.19/1.48    ~element(sK8_skl(sK29_skl(sK2_skl,sK3_skl)),the_carrier(sK1_skl))|sQ330_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f2787])).
% 8.19/1.48  fof(f2808,plain,(
% 8.19/1.48    ~in(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~sQ167_spl|sQ328_spl),
% 8.19/1.48    inference(backward_demodulation,[status(thm)],[f1392,f2783])).
% 8.19/1.48  fof(f2839,plain,(
% 8.19/1.48    ~rel_str(sK27_skl(sK26_skl))|sQ290_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f2514,f807])).
% 8.19/1.48  fof(f2840,plain,(
% 8.19/1.48    $false|~sQ141_spl|sQ290_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f2839,f1173])).
% 8.19/1.48  fof(f2841,plain,(
% 8.19/1.48    ~sQ141_spl|sQ290_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2840])).
% 8.19/1.48  fof(f2844,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK4_skl=topstr_closure(sK0_skl,sK5_skl(sK29_skl(sK2_skl,sK3_skl)))|sQ171_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1469,f1206])).
% 8.19/1.48  fof(f2845,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK29_skl(sK2_skl,sK3_skl)=sK6_skl(sK29_skl(sK2_skl,sK3_skl))|sQ171_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1469,f1205])).
% 8.19/1.48  fof(f2846,plain,(
% 8.19/1.48    sK3_skl=sK2_skl|sK5_skl(sK29_skl(sK2_skl,sK3_skl))=relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK6_skl(sK29_skl(sK2_skl,sK3_skl)))))|sQ171_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1469,f1204])).
% 8.19/1.48  fof(f2847,plain,(
% 8.19/1.48    in(sK29_skl(sK2_skl,sK3_skl),sK2_skl)|sK3_skl=sK2_skl|sQ171_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1469,f313])).
% 8.19/1.48  fof(f2849,plain,(
% 8.19/1.48    sQ160_spl|sQ164_spl|sQ171_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2844,f1324,f1338,f1467])).
% 8.19/1.48  fof(f2850,plain,(
% 8.19/1.48    sQ160_spl|sQ163_spl|sQ171_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2845,f1324,f1334,f1467])).
% 8.19/1.48  fof(f2851,plain,(
% 8.19/1.48    sQ160_spl|sQ162_spl|sQ171_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2846,f1324,f1330,f1467])).
% 8.19/1.48  fof(f2852,plain,(
% 8.19/1.48    sQ300_spl|sQ160_spl|sQ171_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2847,f2563,f1324,f1467])).
% 8.19/1.48  fof(f2911,plain,(
% 8.19/1.48    $false|~sQ165_spl|~sQ167_spl|sQ328_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f2808,f1343])).
% 8.19/1.48  fof(f2912,plain,(
% 8.19/1.48    ~sQ165_spl|~sQ167_spl|sQ328_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f2911])).
% 8.19/1.48  fof(f3116,definition,(
% 8.19/1.48    sQ364_spl <=> (one_sorted_str(sK27_skl(sK26_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3118,plain,(
% 8.19/1.48    ~one_sorted_str(sK27_skl(sK26_skl))|sQ364_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f3116])).
% 8.19/1.48  fof(f3139,plain,(
% 8.19/1.48    $false|~sQ141_spl|sQ364_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f3118,f1178])).
% 8.19/1.48  fof(f3140,plain,(
% 8.19/1.48    ~sQ141_spl|sQ364_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f3139])).
% 8.19/1.48  fof(f3285,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK28_skl(sK1_skl,sK0_skl))|~netstr_induced_subset(X0,sK0_skl,sK28_skl(sK1_skl,sK0_skl))|element(X0,powerset(the_carrier(sK0_skl)))|~sQ68_spl|~sQ113_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f753,f1027])).
% 8.19/1.48  fof(f3286,plain,(
% 8.19/1.48    ![X0,X1,X2]: (empty_carrier(netstr_restr_to_element(sK0_skl,X0,X1))|~netstr_induced_subset(X2,sK0_skl,netstr_restr_to_element(sK0_skl,X0,X1))|element(X2,powerset(the_carrier(sK0_skl)))|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(X0)|~net_str(X0,sK0_skl)|~element(X1,the_carrier(X0))|~sQ68_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f753,f245])).
% 8.19/1.48  fof(f3288,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK1_skl)|~netstr_induced_subset(X0,sK0_skl,sK1_skl)|element(X0,powerset(the_carrier(sK0_skl)))|~sQ68_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f753,f81])).
% 8.19/1.48  fof(f3289,definition,(
% 8.19/1.48    ![X0]: (sQ381_spl <=> (~netstr_induced_subset(X0,sK0_skl,sK28_skl(sK1_skl,sK0_skl))|element(X0,powerset(the_carrier(sK0_skl)))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3292,plain,(
% 8.19/1.48    sQ126_spl|sQ381_spl|~sQ68_spl|~sQ113_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3285,f1105,f3289,f752,f1026])).
% 8.19/1.48  fof(f3293,definition,(
% 8.19/1.48    ![X0,X1,X2]: (sQ382_spl <=> (empty_carrier(netstr_restr_to_element(sK0_skl,X0,X1))|~netstr_induced_subset(X2,sK0_skl,netstr_restr_to_element(sK0_skl,X0,X1))|element(X2,powerset(the_carrier(sK0_skl)))|empty_carrier(X0)|~net_str(X0,sK0_skl)|~element(X1,the_carrier(X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3296,plain,(
% 8.19/1.48    sQ382_spl|sQ20_spl|~sQ53_spl|~sQ68_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3286,f3293,f418,f641,f752])).
% 8.19/1.48  fof(f3301,definition,(
% 8.19/1.48    ![X0]: (sQ384_spl <=> (~netstr_induced_subset(X0,sK0_skl,sK1_skl)|element(X0,powerset(the_carrier(sK0_skl)))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3304,plain,(
% 8.19/1.48    sQ44_spl|sQ384_spl|~sQ68_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3288,f594,f3301,f752])).
% 8.19/1.48  fof(f3326,plain,(
% 8.19/1.48    ![X0,X1,X2]: (~in(X0,sK3_skl)|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(sK1_skl)|~transitive_relstr(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,sK0_skl)|~element(sK8_skl(X0),the_carrier(sK1_skl))|empty_carrier(X1)|~one_sorted_str(X1)|~net_str(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0)),X1)|~element(X2,the_carrier(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))))|subnetstr_of_element(X1,netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0)),X2)=netstr_restr_to_element(X1,netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0)),X2)|~sQ106_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1030,f877])).
% 8.19/1.48  fof(f3337,definition,(
% 8.19/1.48    ![X0,X1,X2]: (sQ385_spl <=> (~in(X0,sK3_skl)|~element(sK8_skl(X0),the_carrier(sK1_skl))|empty_carrier(X1)|~one_sorted_str(X1)|~net_str(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0)),X1)|~element(X2,the_carrier(netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0))))|subnetstr_of_element(X1,netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0)),X2)=netstr_restr_to_element(X1,netstr_restr_to_element(sK0_skl,sK1_skl,sK8_skl(X0)),X2)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3340,plain,(
% 8.19/1.48    sQ385_spl|sQ20_spl|~sQ53_spl|sQ44_spl|~sQ46_spl|~sQ45_spl|~sQ111_spl|~sQ106_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3326,f3337,f418,f641,f594,f601,f597,f1014,f976])).
% 8.19/1.48  fof(f3421,definition,(
% 8.19/1.48    sQ396_spl <=> (sK27_skl(sK26_skl)=sK27_skl(sK26_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3423,plain,(
% 8.19/1.48    ~sK27_skl(sK26_skl)=sK27_skl(sK26_skl)|sQ396_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f3421])).
% 8.19/1.48  fof(f3428,plain,(
% 8.19/1.48    $false|sQ396_spl),
% 8.19/1.48    inference(trivial_equality_resolution,[status(thm)],[f3423])).
% 8.19/1.48  fof(f3429,plain,(
% 8.19/1.48    sQ396_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f3428])).
% 8.19/1.48  fof(f3458,plain,(
% 8.19/1.48    ![X0,X1,X2]: (~in(X0,sK2_skl)|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(sK1_skl)|~transitive_relstr(sK1_skl)|~directed_relstr(sK1_skl)|~net_str(sK1_skl,sK0_skl)|~element(sK6_skl(X0),the_carrier(sK1_skl))|empty_carrier(X1)|~one_sorted_str(X1)|~net_str(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0)),X1)|~element(X2,the_carrier(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))))|subnetstr_of_element(X1,netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0)),X2)=netstr_restr_to_element(X1,netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0)),X2)|~sQ106_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1031,f877])).
% 8.19/1.48  fof(f3468,plain,(
% 8.19/1.48    transitive_relstr(netstr_restr_to_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl)))|~in(sK29_skl(sK2_skl,sK3_skl),sK2_skl)|~sQ106_spl|~sQ163_spl),
% 8.19/1.48    inference(paramodulation,[status(thm)],[f1335,f1031])).
% 8.19/1.48  fof(f3469,definition,(
% 8.19/1.48    ![X0,X1,X2]: (sQ398_spl <=> (~in(X0,sK2_skl)|~element(sK6_skl(X0),the_carrier(sK1_skl))|empty_carrier(X1)|~one_sorted_str(X1)|~net_str(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0)),X1)|~element(X2,the_carrier(netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0))))|subnetstr_of_element(X1,netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0)),X2)=netstr_restr_to_element(X1,netstr_restr_to_element(sK0_skl,sK1_skl,sK6_skl(X0)),X2)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3472,plain,(
% 8.19/1.48    sQ398_spl|sQ20_spl|~sQ53_spl|sQ44_spl|~sQ46_spl|~sQ45_spl|~sQ111_spl|~sQ106_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3458,f3469,f418,f641,f594,f601,f597,f1014,f976])).
% 8.19/1.48  fof(f3473,definition,(
% 8.19/1.48    sQ399_spl <=> (transitive_relstr(netstr_restr_to_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3476,plain,(
% 8.19/1.48    sQ399_spl|~sQ300_spl|~sQ106_spl|~sQ163_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3468,f3473,f2563,f976,f1334])).
% 8.19/1.48  fof(f3535,plain,(
% 8.19/1.48    ![X0,X1]: (function(the_mapping(sK0_skl,netstr_restr_to_element(sK0_skl,X0,X1)))|empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|empty_carrier(X0)|~net_str(X0,sK0_skl)|~element(X1,the_carrier(X0))|~sQ53_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1079,f245])).
% 8.19/1.48  fof(f3536,plain,(
% 8.19/1.48    function(the_mapping(sK0_skl,sK27_skl(sK0_skl)))|~one_sorted_str(sK0_skl)|~sQ53_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1079,f265])).
% 8.19/1.48  fof(f3538,definition,(
% 8.19/1.48    ![X0,X1]: (sQ411_spl <=> (function(the_mapping(sK0_skl,netstr_restr_to_element(sK0_skl,X0,X1)))|empty_carrier(X0)|~net_str(X0,sK0_skl)|~element(X1,the_carrier(X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3541,plain,(
% 8.19/1.48    sQ411_spl|sQ20_spl|~sQ53_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3535,f3538,f418,f641])).
% 8.19/1.48  fof(f3542,definition,(
% 8.19/1.48    sQ412_spl <=> (function(the_mapping(sK0_skl,sK27_skl(sK0_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3545,plain,(
% 8.19/1.48    sQ412_spl|~sQ53_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3536,f3542,f641])).
% 8.19/1.48  fof(f3660,plain,(
% 8.19/1.48    empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|transitive_relstr(sK28_skl(sK28_skl(sK1_skl,sK0_skl),sK0_skl))|~sQ129_spl|~sQ113_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f1118,f1027])).
% 8.19/1.48  fof(f3661,definition,(
% 8.19/1.48    sQ434_spl <=> (transitive_relstr(sK28_skl(sK28_skl(sK1_skl,sK0_skl),sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3664,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ434_spl|~sQ129_spl|~sQ113_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3660,f418,f641,f3661,f1117,f1026])).
% 8.19/1.48  fof(f3692,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~subnet(X0,sK0_skl,sK28_skl(sK1_skl,sK0_skl))|net_str(X0,sK0_skl)|~sQ131_spl|~sQ113_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1126,f1027])).
% 8.19/1.48  fof(f3693,definition,(
% 8.19/1.48    ![X0]: (sQ440_spl <=> (~subnet(X0,sK0_skl,sK28_skl(sK1_skl,sK0_skl))|net_str(X0,sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3696,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ440_spl|~sQ131_spl|~sQ113_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3692,f418,f641,f3693,f1125,f1026])).
% 8.19/1.48  fof(f3697,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~subnet(X0,sK0_skl,sK28_skl(sK1_skl,sK0_skl))|directed_relstr(X0)|~sQ132_spl|~sQ113_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1130,f1027])).
% 8.19/1.48  fof(f3698,definition,(
% 8.19/1.48    ![X0]: (sQ441_spl <=> (~subnet(X0,sK0_skl,sK28_skl(sK1_skl,sK0_skl))|directed_relstr(X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3701,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ441_spl|~sQ132_spl|~sQ113_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3697,f418,f641,f3698,f1129,f1026])).
% 8.19/1.48  fof(f3702,plain,(
% 8.19/1.48    ![X0]: (empty_carrier(sK0_skl)|~one_sorted_str(sK0_skl)|~subnet(X0,sK0_skl,sK28_skl(sK1_skl,sK0_skl))|transitive_relstr(X0)|~sQ133_spl|~sQ113_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f1134,f1027])).
% 8.19/1.48  fof(f3703,definition,(
% 8.19/1.48    ![X0]: (sQ442_spl <=> (~subnet(X0,sK0_skl,sK28_skl(sK1_skl,sK0_skl))|transitive_relstr(X0)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3706,plain,(
% 8.19/1.48    sQ20_spl|~sQ53_spl|sQ442_spl|~sQ133_spl|~sQ113_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3702,f418,f641,f3703,f1133,f1026])).
% 8.19/1.48  fof(f3725,plain,(
% 8.19/1.48    ![X0,X1]: (nowhere_dense(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl,X1)|~sQ51_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f2348,f317])).
% 8.19/1.48  fof(f3726,definition,(
% 8.19/1.48    ![X0,X1]: (sQ444_spl <=> (nowhere_dense(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl,X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3729,plain,(
% 8.19/1.48    sQ444_spl|~sQ0_spl|sQ20_spl|~sQ51_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3725,f3726,f328,f418,f631])).
% 8.19/1.48  fof(f3730,plain,(
% 8.19/1.48    ![X0,X1]: (open_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl,X1)|~sQ50_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f2349,f317])).
% 8.19/1.48  fof(f3731,definition,(
% 8.19/1.48    ![X0,X1]: (sQ445_spl <=> (open_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl,X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3734,plain,(
% 8.19/1.48    sQ445_spl|~sQ0_spl|sQ20_spl|~sQ50_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3730,f3731,f328,f418,f626])).
% 8.19/1.48  fof(f3742,plain,(
% 8.19/1.48    ![X0,X1]: (closed_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl,X1)|~sQ35_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f2350,f317])).
% 8.19/1.48  fof(f3743,definition,(
% 8.19/1.48    ![X0,X1]: (sQ446_spl <=> (closed_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl,X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3746,plain,(
% 8.19/1.48    sQ446_spl|~sQ0_spl|sQ20_spl|~sQ35_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3742,f3743,f328,f418,f529])).
% 8.19/1.48  fof(f3747,plain,(
% 8.19/1.48    ![X0,X1]: (boundary_set(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|~top_str(sK0_skl)|empty_carrier(sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl,X1))),
% 8.19/1.48    inference(resolution,[status(thm)],[f2351,f317])).
% 8.19/1.48  fof(f3748,definition,(
% 8.19/1.48    ![X0,X1]: (sQ447_spl <=> (boundary_set(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl)|empty_carrier(X1)|~net_str(X1,sK0_skl)|~netstr_induced_subset(relation_rng(relation_rng(sK20_skl(X0))),sK0_skl,X1)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3751,plain,(
% 8.19/1.48    sQ447_spl|~sQ0_spl|sQ20_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3747,f3748,f328,f418])).
% 8.19/1.48  fof(f3768,plain,(
% 8.19/1.48    ![X0,X1,X2]: (empty_carrier(netstr_restr_to_element(sK26_skl,X0,X1))|~element(X2,the_carrier(netstr_restr_to_element(sK26_skl,X0,X1)))|one_sorted_str(netstr_restr_to_element(sK26_skl,netstr_restr_to_element(sK26_skl,X0,X1),X2))|empty_carrier(sK26_skl)|~one_sorted_str(sK26_skl)|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))|~sQ139_spl)),
% 8.19/1.48    inference(resolution,[status(thm)],[f2428,f245])).
% 8.19/1.48  fof(f3770,definition,(
% 8.19/1.48    ![X0,X1,X2]: (sQ448_spl <=> (empty_carrier(netstr_restr_to_element(sK26_skl,X0,X1))|~element(X2,the_carrier(netstr_restr_to_element(sK26_skl,X0,X1)))|one_sorted_str(netstr_restr_to_element(sK26_skl,netstr_restr_to_element(sK26_skl,X0,X1),X2))|empty_carrier(X0)|~net_str(X0,sK26_skl)|~element(X1,the_carrier(X0))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f3773,plain,(
% 8.19/1.48    sQ448_spl|sQ77_spl|~sQ140_spl|~sQ139_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f3768,f3770,f817,f1168,f1165])).
% 8.19/1.48  fof(f4021,plain,(
% 8.19/1.48    ~relation_of2(the_mapping(sK0_skl,sK1_skl),the_carrier(sK1_skl),the_carrier(sK0_skl))|element(relation_rng(the_mapping(sK0_skl,sK1_skl)),powerset(the_carrier(sK0_skl)))|~sQ305_spl),
% 8.19/1.48    inference(paramodulation,[status(thm)],[f2601,f294])).
% 8.19/1.48  fof(f4022,definition,(
% 8.19/1.48    sQ462_spl <=> (relation_of2(the_mapping(sK0_skl,sK1_skl),the_carrier(sK1_skl),the_carrier(sK0_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f4024,plain,(
% 8.19/1.48    ~relation_of2(the_mapping(sK0_skl,sK1_skl),the_carrier(sK1_skl),the_carrier(sK0_skl))|sQ462_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f4022])).
% 8.19/1.48  fof(f4025,definition,(
% 8.19/1.48    sQ463_spl <=> (element(relation_rng(the_mapping(sK0_skl,sK1_skl)),powerset(the_carrier(sK0_skl))))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f4028,plain,(
% 8.19/1.48    ~sQ462_spl|sQ463_spl|~sQ305_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4021,f4022,f4025,f2600])).
% 8.19/1.48  fof(f4029,plain,(
% 8.19/1.48    ~in(sK29_skl(sK2_skl,sK3_skl),sK2_skl)|sQ306_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f2609,f83])).
% 8.19/1.48  fof(f4030,plain,(
% 8.19/1.48    ~sQ300_spl|sQ306_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4029,f2563,f2607])).
% 8.19/1.48  fof(f4274,plain,(
% 8.19/1.48    ~element(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~sQ167_spl|sQ330_spl),
% 8.19/1.48    inference(forward_demodulation,[status(thm)],[f1392,f2789])).
% 8.19/1.48  fof(f4289,definition,(
% 8.19/1.48    sQ470_spl <=> (sK27_skl(sK0_skl)=sK27_skl(sK0_skl))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f4291,plain,(
% 8.19/1.48    ~sK27_skl(sK0_skl)=sK27_skl(sK0_skl)|sQ470_spl),
% 8.19/1.48    inference(component_clause,[status(thm)],[f4289])).
% 8.19/1.48  fof(f4374,plain,(
% 8.19/1.48    $false|sQ470_spl),
% 8.19/1.48    inference(trivial_equality_resolution,[status(thm)],[f4291])).
% 8.19/1.48  fof(f4375,plain,(
% 8.19/1.48    sQ470_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f4374])).
% 8.19/1.48  fof(f4544,plain,(
% 8.19/1.48    ~in(sK29_skl(sK2_skl,sK3_skl),sK3_skl)|element(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~sQ167_spl),
% 8.19/1.48    inference(paramodulation,[status(thm)],[f1392,f91])).
% 8.19/1.48  fof(f4545,plain,(
% 8.19/1.48    transitive_relstr(netstr_restr_to_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl)))|~in(sK29_skl(sK2_skl,sK3_skl),sK3_skl)|~sQ106_spl|~sQ167_spl),
% 8.19/1.48    inference(paramodulation,[status(thm)],[f1392,f1030])).
% 8.19/1.48  fof(f4546,plain,(
% 8.19/1.48    ~sQ171_spl|sQ301_spl|~sQ167_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4544,f1467,f2566,f1391])).
% 8.19/1.48  fof(f4547,plain,(
% 8.19/1.48    sQ399_spl|~sQ171_spl|~sQ106_spl|~sQ167_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4545,f3473,f1467,f976,f1391])).
% 8.19/1.48  fof(f4548,plain,(
% 8.19/1.48    $false|~sQ167_spl|sQ330_spl|~sQ301_spl),
% 8.19/1.48    inference(forward_subsumption_resolution,[status(thm)],[f2567,f4274])).
% 8.19/1.48  fof(f4549,plain,(
% 8.19/1.48    ~sQ167_spl|sQ330_spl|~sQ301_spl),
% 8.19/1.48    inference(contradiction_clause,[status(thm)],[f4548])).
% 8.19/1.48  fof(f4551,plain,(
% 8.19/1.48    in(sK29_skl(sK2_skl,sK3_skl),sK2_skl)|~in(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~netstr_induced_subset(sK7_skl(sK29_skl(sK2_skl,sK3_skl)),sK0_skl,sK1_skl)|~element(sK29_skl(sK2_skl,sK3_skl),the_carrier(sK1_skl))|~sK4_skl=topstr_closure(sK0_skl,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl))),the_carrier(sK0_skl),the_mapping(sK0_skl,subnetstr_of_element(sK0_skl,sK1_skl,sK29_skl(sK2_skl,sK3_skl)))))|~sQ167_spl|~sQ161_spl),
% 8.19/1.48    inference(paramodulation,[status(thm)],[f2647,f315])).
% 8.19/1.48  fof(f4554,plain,(
% 8.19/1.48    sQ300_spl|~sQ165_spl|~sQ329_spl|~sQ301_spl|~sQ307_spl|~sQ167_spl|~sQ161_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4551,f2563,f1342,f2784,f2566,f2610,f1391,f1327])).
% 8.19/1.48  fof(f4757,plain,(
% 8.19/1.48    ![X0,X1]: (~one_sorted_str(X0)|relation_rng_as_subset(the_carrier(netstr_restr_to_element(X0,sK1_skl,sK6_skl(X1))),the_carrier(X0),the_mapping(X0,netstr_restr_to_element(X0,sK1_skl,sK6_skl(X1))))=relation_rng(the_mapping(X0,netstr_restr_to_element(X0,sK1_skl,sK6_skl(X1))))|empty_carrier(X0)|empty_carrier(sK1_skl)|~net_str(sK1_skl,X0)|~in(X1,sK2_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f2598,f84])).
% 8.19/1.48  fof(f4758,plain,(
% 8.19/1.48    ![X0,X1]: (~one_sorted_str(X0)|relation_rng_as_subset(the_carrier(netstr_restr_to_element(X0,sK1_skl,sK8_skl(X1))),the_carrier(X0),the_mapping(X0,netstr_restr_to_element(X0,sK1_skl,sK8_skl(X1))))=relation_rng(the_mapping(X0,netstr_restr_to_element(X0,sK1_skl,sK8_skl(X1))))|empty_carrier(X0)|empty_carrier(sK1_skl)|~net_str(sK1_skl,X0)|~in(X1,sK3_skl))),
% 8.19/1.48    inference(resolution,[status(thm)],[f2598,f91])).
% 8.19/1.48  fof(f4759,definition,(
% 8.19/1.48    ![X0,X1]: (sQ485_spl <=> (~one_sorted_str(X0)|relation_rng_as_subset(the_carrier(netstr_restr_to_element(X0,sK1_skl,sK6_skl(X1))),the_carrier(X0),the_mapping(X0,netstr_restr_to_element(X0,sK1_skl,sK6_skl(X1))))=relation_rng(the_mapping(X0,netstr_restr_to_element(X0,sK1_skl,sK6_skl(X1))))|empty_carrier(X0)|~net_str(sK1_skl,X0)|~in(X1,sK2_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f4762,plain,(
% 8.19/1.48    sQ485_spl|sQ44_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4757,f4759,f594])).
% 8.19/1.48  fof(f4763,definition,(
% 8.19/1.48    ![X0,X1]: (sQ486_spl <=> (~one_sorted_str(X0)|relation_rng_as_subset(the_carrier(netstr_restr_to_element(X0,sK1_skl,sK8_skl(X1))),the_carrier(X0),the_mapping(X0,netstr_restr_to_element(X0,sK1_skl,sK8_skl(X1))))=relation_rng(the_mapping(X0,netstr_restr_to_element(X0,sK1_skl,sK8_skl(X1))))|empty_carrier(X0)|~net_str(sK1_skl,X0)|~in(X1,sK3_skl)))),
% 8.19/1.48    introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition])).
% 8.19/1.48  fof(f4766,plain,(
% 8.19/1.48    sQ486_spl|sQ44_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4758,f4763,f594])).
% 8.19/1.48  fof(f4794,plain,(
% 8.19/1.48    ~one_sorted_str(sK0_skl)|~net_str(sK1_skl,sK0_skl)|sQ462_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f4024,f1082])).
% 8.19/1.48  fof(f4795,plain,(
% 8.19/1.48    ~sQ53_spl|~sQ111_spl|sQ462_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4794,f641,f1014,f4022])).
% 8.19/1.48  fof(f4825,plain,(
% 8.19/1.48    ~in(sK29_skl(sK2_skl,sK3_skl),sK3_skl)|sQ329_spl),
% 8.19/1.48    inference(resolution,[status(thm)],[f2786,f90])).
% 8.19/1.48  fof(f4826,plain,(
% 8.19/1.48    ~sQ171_spl|sQ329_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f4825,f1467,f2784])).
% 8.19/1.48  fof(f4844,plain,(
% 8.19/1.48    sQ161_spl|~sQ171_spl),
% 8.19/1.48    inference(split_clause,[status(thm)],[f2747,f1327,f1467])).
% 8.19/1.48  fof(f4863,plain,(
% 8.19/1.48    $false),
% 8.19/1.48    inference(sat_refutation,[status(thm)],[f334,f336,f341,f346,f351,f356,f361,f374,f383,f393,f401,f410,f417,f426,f439,f445,f452,f457,f462,f468,f469,f478,f485,f492,f495,f532,f561,f572,f574,f576,f578,f582,f586,f600,f606,f608,f610,f629,f634,f647,f693,f702,f721,f725,f729,f733,f737,f755,f761,f795,f801,f823,f825,f836,f860,f865,f870,f875,f892,f897,f942,f946,f950,f954,f958,f963,f967,f969,f974,f979,f998,f1003,f1017,f1022,f1024,f1029,f1069,f1074,f1087,f1092,f1108,f1112,f1116,f1120,f1124,f1128,f1132,f1136,f1140,f1147,f1152,f1157,f1162,f1171,f1175,f1177,f1267,f1271,f1275,f1277,f1299,f1303,f1366,f1367,f1368,f1371,f1394,f1395,f1396,f1423,f1497,f1642,f1764,f1767,f1774,f1786,f1790,f1799,f1803,f1805,f2130,f2208,f2213,f2305,f2440,f2444,f2448,f2456,f2460,f2470,f2479,f2536,f2538,f2543,f2548,f2569,f2585,f2597,f2603,f2613,f2635,f2643,f2650,f2711,f2716,f2751,f2752,f2765,f2767,f2841,f2849,f2850,f2851,f2852,f2912,f3140,f3292,f3296,f3304,f3340,f3429,f3472,f3476,f3541,f3545,f3664,f3696,f3701,f3706,f3729,f3734,f3746,f3751,f3773,f4028,f4030,f4375,f4546,f4547,f4549,f4554,f4762,f4766,f4795,f4826,f4844])).
% 8.19/1.49  % SZS output end CNFRefutation for theBenchmark.p
% 5.59/1.50  % Elapsed time: 1.122223 seconds
% 5.59/1.50  % CPU time: 8.543350 seconds
% 5.59/1.50  % Total memory used: 247.218 MB
% 5.59/1.50  % Net memory used: 243.400 MB
%------------------------------------------------------------------------------